diff --git "a/data/dm_maths/full_data/10295_11255.jsonl" "b/data/dm_maths/full_data/10295_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10295_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: List the prime factors of 514414.\nAnswer: 2, 31, 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 807411288*a - 40744561749363684.\nAnswer: -4*(a + 100926411)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5 = -3*o. Let u = -1077 + 1079. Suppose -o*j + 412 = u*w - 0*j, -2*j = -w + 188. Is w a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 3*f + 2*f**3)*(3 + 1846*f - 742*f - 3).\nAnswer: 2208*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 35 = 5*m, 23 = m + 3*v + v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 14\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6420\/963*6\/2\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1336106 (base 7) to base 11\nAnswer: 111300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/55)\/(y**(-3\/16)*y)*(y**8\/y)**(2\/49) assuming y is positive.\nAnswer: y**(-3021\/6160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**3 - 30*v**3 + 17*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svule. What is prob of picking 1 e and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -18. Let n be (-1 + -2)*6*g\/18. Suppose -2*h - 15 = 5*c, -2*c + 6 = -2*h - n*c. Solve h = -3*i + 4*i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h = -9094 + 22. Let r = -16 + 18. Suppose -5*c - 5*y + 2*y + 652 = 0, -4*c + r*y + h = 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 249 - 249.00000377. What is r rounded to seven decimal places?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*i**6*k + 20*i**3*k + i**2*k - 18*i - 2*k wrt i.\nAnswer: -840*i**3*k + 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -313285*i. Let w(n) = 5*n**2. Determine u(w(v)).\nAnswer: -1566425*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -429*l - 562*l - 15 + 3 + 6. Let x be n(-11). Suppose -8*h + x = -3*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72 - -70. Is n at least -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 662700237*c**3*o - 288942769*o with respect to c.\nAnswer: 1988100711*c**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3021404 (base 5) to base 16\nAnswer: bce2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-1)\/8 + (-2 - -3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + -1 + -2 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 988404 is divided by 5944.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*t**3 + 11*t - 1 + 30*t - 24*t - 2*t**2 - 14*t to h*t + f + i*t**3 + v*t**2 and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 9854691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1042849, -2085706, -3128569, -4171438, -5214313, -6257194?\nAnswer: -7300081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(539)*-3)**2.\nAnswer: 19404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -59*z + 9 + 15*z + 21*z + 19*z. Let o(m) = -10*m + 22. Give 12*d(l) - 5*o(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 410041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 880 divide 119967760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*j = 20, 3*l - 3*j = -2*j + 4. Suppose w + 5 = 2*c, -2*c + l = 5*w + 1. Calculate the highest common factor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246683674 to the nearest integer?\nAnswer: 15706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1084, -10576, -36304, -86386, -168940, -292084, -463936?\n\"Answer: -1353*x**3 - 21*x + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*v - 2*v**5 + 2*v + 3*v**5 - v wrt v?\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -513 - -505. What is the common denominator of -9 - s - (666\/28)\/(-3) and (321\/22)\/((-9)\/3)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**2*r**3 + 729*m**2*r + 2*r**5 + 24*r**3 wrt r.\nAnswer: -18*m**2*r + 40*r**3 + 144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 6*w - 19*w - 53 = 0, 3*s - 19 = 4*w - 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**2 + 13210*q - 13208 = 0.\nAnswer: 1, 6604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -13*c + 1. Let u be q(1). Let l be (2\/(-4))\/(u\/8). Which is smaller: -0.1 or l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*u = 1661, b + 175 = -2*u + 736. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7722 is divided by 7361?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.014 - -0.014. Which is the smallest value? (a) d (b) 36 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 69, -17?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.97? (a) -0.1 (b) 0.2 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 32353486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/16)\/(((-5)\/(-4))\/5). Let c be ((i - 6) + 35)\/(2*1). Solve -h = -4*h + c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - 9. Let t = m - -48. What is the greatest common divisor of t and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*q**4*s + 31075733*q**4 - 34*q**2*s + q**2 - 2910583*q wrt q?\nAnswer: -408*q*s + 745817592*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1023 - 14315?\nAnswer: -15341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45316\/158949 - -14\/22707. Let -h*c**5 + 0*c + 10\/7*c**2 + 0 - 22\/7*c**3 + 2*c**4 = 0. What is c?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.223*-0.3.\nAnswer: -0.0669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 3*n**4\/4 + 5*n**3 + 15*n**2\/2 - 3*n. What are the prime factors of u(-7)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 t, and 2 z when four letters picked without replacement from {p: 4, z: 1, e: 1, x: 4, t: 1, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 353073 and 117691?\nAnswer: 353073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 0*h**2 + h + 0 + 1\/6*h**3. Let g(u) = -5*u**2. Determine g(i(o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 331207 * -4.\nAnswer: -1324828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-4))\/(3\/262) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 5*x**2 + 6*x + 2. Let l be z(-6). Suppose 5*y = l*y. Solve w - 3*w = y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 15*x**2 - 12*x + 19. Let t be i(7). Suppose 4046 = 12*f - t. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 222 and 32795246?\nAnswer: 98385738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 170*l + 1206. Calculate the remainder when 221 is divided by v(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -984403, -984400, -984397, -984394, -984391, -984388?\n\"Answer: 3*m - 984406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9, 0.04, -1\/2, 2\/9 in descending order.\nAnswer: 9, 2\/9, 0.04, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2 + 64*b + b**2 + 7 - 54*b. Let l be r(-10). Calculate the highest common factor of l and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1077.9 + 1070.173. What is b rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 127 = -3*h + 3*j, 216 = 5*h + 3*j. Suppose -3*a = 2*a - h. Let s = -5 + a. Solve z = -s*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (4 - (6 + -1) - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 e when three letters picked without replacement from {i: 5, e: 5}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 314927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 less than -0.129?\nAnswer: -125.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 152069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 4, 14*u - 8661 = 9*u - m. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 6*c - 4. Let z be y(6). Let i be (-3 + (-20)\/z)\/1. Let u(h) = 64*h - 7. Does 18 divide u(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00477088099 to 5 dps.\nAnswer: 0.00477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*h - 288*h + 144*h.\nAnswer: -494*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*a + 240*a = -4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = 2432*y - 2431*y - 812. List the prime factors of y.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3127, 1\/12, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6702.8 - 7381. Let u = 681 + m. Sort u, -0.3, 4, -0.1.\nAnswer: -0.3, -0.1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -169176 * -1392.\nAnswer: 235492992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 148*g**2 - 2*g - 1. Let a be r(-1). What is the common denominator of a\/3*3\/12 and 85\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/13)*o*o\/((o\/(o\/(o\/(o*o\/o**(-1)))*o))\/o))\/(o**(4\/7)\/o**(-2)))\/((o\/o**(1\/4))**11*(o\/o**(2\/3))\/o**(-1\/2)) assuming o is positive.\nAnswer: o**(-6343\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 329*a - 2378. What is r(7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 + 8 = 0. Suppose 2*c - 82 = z, -81 = -p*c + 4*z - 5. Does 21 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, s: 6}. What is prob of sequence qq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(196\/21))\/((-7)\/70).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 593 divide 568999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-seven fifths of a centimeter?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, x: 3, z: 2}. Give prob of picking 1 j and 2 z.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 19*z**3\/6 + 6*z**2 - 19*z - 4. What is the units digit of k(32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1576*-6402.\nAnswer: -10089552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-7)*42\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 4:58 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6181, -6187, -6193, -6199?\nAnswer: -6205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*l - l + 4*x, l - 5*x = 8. Suppose 3*b - 1071 = -3*h, -l*b + 4*h + 1621 - 529 = 0. Calculate the greatest common factor of b and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.333 less than 11088077?\nAnswer: 11088077.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -9*x**3 + 4*x**2 + 4*x. Let o be l(3). Let n = o - -186. Let a(s) = s**2 + 6*s - 14. Determine a(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67 - -79. Suppose -s = 4*p + 3*s - 64, 3*p + 2*s = 45. Is p at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18583\/7 - -2655. Which is the closest to -254.5? (a) -0.1 (b) s (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 + -94. Which is smaller: w or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 88, -2396 in decreasing order.\nAnswer: 88, 5, -2396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 257470 - 257470 + 42*h. Let o(a) = 3*a - 7. Determine l(o(m)).\nAnswer: 126*m - 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9 + 27\/((-135)\/(-15320)).\nAnswer: 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -571476628 divided by -4?\nAnswer: 142869157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*q - 0*v + 17, 19 = 2*q + 5*v. Let a(i) = 10*i**2 + 10*i. Let g(p) = -21*p**2 - 20*p + 1. Let t(o) = q*a(o) + 4*g(o). Factor t(s).\nAnswer: -2*(s + 1)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, f: 3, i: 2, e: 2, y: 1, h: 4}. What is prob of sequence hye?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 + 54*q**2. Let j be v(-27). Solve 0 = -2*c + 6 - j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1111\/51828?\nAnswer: -1111\/51828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/12)\/(765\/1224)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35646 + 32210. What is the nearest to 0 in a, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3\/5 - 2204784*g**2\/5 + 405091578663*g\/5 - 810174338214\/5 = 0 for g.\nAnswer: 2, 367463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -193, 0, -45.4?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -2*h**3\/11 + 6*h**2\/11 + 90*h\/11 + 24. Determine s so that y(s) = 0.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = r + 3*r. Let s(l) = -l**2 + 6*l - 5. Let a be s(r). Suppose 64 + 77 = a*o. What is the remainder when o is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - w**2 - w**2 - 21*w**2 + 2*w as i*w**2 + t + c*w and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -12*f**2\/7 + 4257*f\/7 + 1065\/7 = 0.\nAnswer: -1\/4, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -297 - -311 - (39 + -1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646 is divided by 160.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*4\/(-66)*-3.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2 + 1651*v + 41900 = 0 for v.\nAnswer: -25, 1676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2778 is divided by 1384?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h**3\/17 - 46*h**2\/17 + 74*h\/17 + 30\/17 = 0 for h.\nAnswer: -1\/3, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -6. Let t = -2 + 3. Which is the nearest to t? (a) 4 (b) -1\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5*t + 53, 3*w + 5*t = 164 - 45. Let c be 1 + 72\/w + -3. Let f = 25 - 74\/3. What is the smallest value in f, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p. Let o(y) be the second derivative of -y + 0*y**5 + 0*y**2 - 1\/42*y**7 + 0*y**6 + p + 0*y**3 - 1\/6*y**4. Find the third derivative of o(n) wrt n.\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2963319057 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgqqggqgqgg. Give prob of picking 1 g and 1 m.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express g - 3*g + 0*g + (2*g + 2*g - 3*g)*(1 + 1 - 3) + (33 + 9*g - 33)*(-1 - 3 + 7) in the form u*g + t and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.69 * -103\nAnswer: 174.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-1 + 2)*(68678 + -9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35854712 to the power of 1\/2, to the nearest integer?\nAnswer: 5988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 102*z**2 - 8 + 22.\nAnswer: -102*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 7:02 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 11*r - 1650. Calculate the greatest common divisor of r and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182634 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*a + 7608 + 984. List the prime factors of a.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1480 - 0.005\nAnswer: -1480.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(891) - (2 + sqrt(891))) + 2 - (sqrt(891) - (sqrt(891) + 5 + 0 + sqrt(891) + sqrt(891)))*-5)**2 + 5 + -3.\nAnswer: 3780*sqrt(11) + 89543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64\/3 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - 536?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71093659 by -2.\nAnswer: 71093659\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -133a2 (base 12) to base 2\nAnswer: -110011101101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 104. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229 = 3*h - 53. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12527297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.22 + -0.32. What is the nearest to 1\/2 in z, -7, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 11*z - 200. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 55*o**2 + 262*o - 4535. Determine s(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 13*z**3 - 7*z**2 + 13*z + 8. Let t(r) = -7*r**3 + 4*r**2 - 7*r - 4. Determine -4*m(f) - 7*t(f).\nAnswer: -3*f**3 - 3*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -658 = -3*j - 13. Let i = -156 + j. What is the highest common divisor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106934209 to the nearest integer?\nAnswer: 10341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 26*i - 2828 = 27*i + 61*i for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.5? (a) 4937\/75 (b) -2\/13 (c) -0.5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28586 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 0 - -5) + -5 + 9 + -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*5 - (-32 - (-94 + 61))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859020.\nAnswer: 2, 3, 5, 103, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*u**2 + 7*u**2 - u + 0*u**2 - 1 to r + h*u**2 + d*u and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, w: 6, g: 7, v: 6}. What is prob of picking 2 g?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7}. Give prob of picking 2 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*h + 4084 - 480 - 59*h - 57*h - 3604.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17.89 + 0.11. Let u = s + -17.9. What is the closest to -2\/5 in 4, u, 4\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from {c: 3, a: 1, j: 4, m: 1, g: 3, l: 5}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 32*d - 42. Let c(v) = 53*v - 85. Calculate 3*c(a) - 5*x(a).\nAnswer: -a - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -1 - 141*f**2 + 2 + 71*f**2 + 69*f**2 - f. Let z(c) = -c**3 + 8*c**2 - 12*c + 1. Let i be z(6). What is a(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**3 - 5*h**2\/2 + 4*h - 505. Calculate d(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23.059 < 3.052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 568\/7, -5, -1\/4, 4, 65\/7?\nAnswer: 65\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16126339738 - 16126339664.99999971. Let s = -73 + o. What is s rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - -3) + 2 + 59?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41 in 4717, 2, 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 + -49. Let g(w) = 6*w - 19*w + t*w + 11*w**2. Let s(z) = -2*z**2 - 4*z. Let j(m) = -3*m**2 - 5*m. Let q(n) = 4*j(n) - 5*s(n). Determine q(g(h)).\nAnswer: -242*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110078\/21 + 5243. Find the common denominator of 179\/108 - (8 - 350\/40) and y.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*1*(-3 + 4). Suppose -3*u + 115 = -t*u. What are the prime factors of u?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -42\/11, 1\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 11526?\nAnswer: 69156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 536 = 50*s + 36 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 3*l + 20. Calculate the smallest common multiple of 40 and z(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280437265 to the power of 1\/4, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 290 + -290.104. Let z = w + 0.1039925. Round z to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121333 (base 6) to base 9.\nAnswer: 15623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -10 + 3 + 0 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -221*u + 443*u + 3 - 216*u - 3. Give l(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 26*v + 39*v - 68*v - 3*r, 13*v - r - 182 = 0 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2471.021 years to millennia.\nAnswer: 2.471021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 121 = c - 1001, 0 = -4*y - 20. Does 29 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**4 + 23044*u**3 - 32969040*u**2 - 635222000*u + 668168000 = 0.\nAnswer: -20, 1, 2890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 5*y - 2*y + 0*y + 2*y + 3*y + (y - 3*y + 0*y)*(-1 + 3 - 3) + 3*y - 5*y + y as s*y + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85414 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -32, -2 in ascending order.\nAnswer: -32, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qff when three letters picked without replacement from {q: 4, f: 7}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 5*n + 6. Suppose -2*p = -7 - 1. Suppose 2*j + 2 = 3*z + 1, 4 = -p*z + 4*j. Calculate the remainder when a(z) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000011 (base 2) in base 12?\nAnswer: ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in years?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 416 - 354. Calculate the remainder when 132 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 - 14*w**2 + 122*w - 30. What is the lowest common multiple of 570 and q(11)?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 340 = 6*d. Let p be 5*-2*d\/(-10). Suppose -5*c = p - 268. Calculate the remainder when c is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6034, -12066, -18098, -24130, -30162?\n\"Answer: -6032*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivff when four letters picked without replacement from {c: 2, f: 5, i: 3, t: 1, v: 1}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43.98 + 0.98. Let h = -106107.00064 + 106064. Let j = o - h. Round j to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.9 + 5.95. Let x = -0.2 + 0.15. Let f = m + x. Which is the nearest to f? (a) -2 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, 0.5, 16, 86, -0.043?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 0 - 6*f - 1\/6*f**3 - 3\/2*f**2. Let j(m) = -2*m - 3. What is -4*h(y) + 3*j(y)?\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**2 + 7*a - 4. Let k(x) = -x**2 - x + 1. Suppose -4*i + 44 = 4*f, 2*f - 27 = -0*f - 3*i. What is f*k(o) + g(o)?\nAnswer: -o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 - 24*y + 14. What is the remainder when h(-11) is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o - 9. Let n(q) = 6*q + 46. Let r(t) = t**3 + 15*t**2 + 25*t + 3. Let b = 300 + -313. Let h be r(b). Give h*x(j) + 3*n(j).\nAnswer: 2*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 7:15 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)*g)\/(g\/(g**(1\/4)\/g)*g))\/(g\/(g**(-2\/5)\/g))**(7\/8)*(g**(-10)\/(g*g**(4\/9)))**(-4\/31) assuming g is positive.\nAnswer: g**(-41143\/5580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from kmgg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kakxkkxr. Give prob of picking 1 x, 2 k, and 1 r.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 205\/15 - (-4)\/(-6). Let j = 67 - l. Calculate the highest common divisor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 643809 a multiple of 381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4433 - -4437. Which is the nearest to t? (a) -3 (b) 15 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 147\/2, 3, -3, 1\/29, -9 in descending order.\nAnswer: 147\/2, 3, 1\/29, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-36)\/8)\/(-3)*-6. What is the closest to 1 in h, -1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of (304\/32)\/((-2)\/(-168))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7\/5 (b) 0.1 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)*3 + sqrt(42))*5 - sqrt(42) - (-5*sqrt(2688) + sqrt(2688)))\/((sqrt(240)\/sqrt(40))\/(sqrt(144)*-1)).\nAnswer: -612*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194362, 194412, 194462, 194512, 194562?\nAnswer: 194612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - x + 1. Suppose 0 = -4*b - 8 + 28. Suppose -2*d + b*a + 1 = -2, a = 4*d - 51. Let l be -3*(2 + d\/(-6)). Give n(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*s + 11*s + 2784. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1374 and 0.0949927.\nAnswer: 0.01305199698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1\/n)**(2\/145)\/(n**(-2\/15)*n*n*n**(1\/10)\/n)*(n*n\/((n**1\/n)\/n)*n*n)**(-16)*(n**0*n*n*n)**(-1\/7) assuming n is positive.\nAnswer: n**(-17093\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1132677 and 819.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q**2 + 11*q - 55. Let i be w(24). Let p = i - -5196. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*j + 10*j - 856, 5*j - y - 859 = 0. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125886 + -202866. Let s = m - -76924.891. Let o = 55 + s. What is o rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 + 7*z**2 + 5*z - 51. Let u(m) = m**3 + 3*m**2 + 2*m - 26. Determine 2*l(i) - 5*u(i).\nAnswer: -i**3 - i**2 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -3*l - 23 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*n - 15 = 0, n = 4*y + 6*n - 112. Let c = y + -15. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 (base 10) in base 4?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + 16)*(-2)\/6 - 72\/32?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - 3*t + t**2 - 20*t**2 + 14*t**2 + 20*t**2 + 0*t**2 + t**2 + t**2 + 2*t**2 - 8*t**2 + 19*t**2 + (t + 0*t - 2*t)*(t + 3 - 3) + 0*t**2 - 2*t**2 + t**2.\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29561 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293 - 28.\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -357182.89 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 9*g + 22. Let z be 1\/(18\/(-15) - (-10 + 9)). Let k be p(z). Calculate the greatest common divisor of 6 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3759224\/57 - -406306819\/6270. Let n = 12510\/11 + j. Let s = -2052\/737 - 118\/67. Find the common denominator of s and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 348, 1257, 2732, 4791, 7452, 10733, 14652, 19227?\n\"Answer: 3*a**3 + 265*a**2 + 93*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 6:25 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 174?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528 a factor of 362297968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, l: 15}. Give prob of picking 3 l.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -5*h**4 + 275*h**3\/3 + 35*h**2 - 226. Factor b(p).\nAnswer: -5*p*(p - 14)*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107969\/11 + -9783. Are 33 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37661485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -4*v + 0*v**4 + 1\/360*v**6 + 0*v**2 - 2\/3*v**3 + 1\/60*v**5 + 0. Let k(p) be the second derivative of j(p). Factor k(b).\nAnswer: b*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/7 + 5*c**2\/7 = 0. Calculate c.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49168 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**2 + 6. Suppose -2*k + 5 + 17 = 0. Let t(r) = 2*r**2 + 2. Calculate k*t(s) - 4*q(s).\nAnswer: -2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 11. Let f be k(0). Suppose 3*j - 4*t - t = -10, -4*j + 3*t + 5 = 0. Suppose 4*i - f = j. What is the smallest common multiple of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 5019 = 1125. Calculate the greatest common divisor of 352 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6810711, -6810709, -6810707?\nAnswer: -6810705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, -2\/11, 38\/5, -3\/11, -1, 3 in increasing order.\nAnswer: -55, -1, -3\/11, -2\/11, 3, 38\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -112909783 and -0.2.\nAnswer: 22581956.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + -37. Suppose -2*w = -z, w = -3*k - 3*w - 23. Let a be (1\/(-3))\/(k\/(-312)). Is -8 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 9 + 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*d + 28*d - 258 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(30\/10) - -15\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 61\/12, 0 in decreasing order.\nAnswer: 18, 61\/12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -2\/53 (c) -327 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**2 - 788*k + 77618 = 0.\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632675729?\nAnswer: 7, 8521, 10607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in 0.3, -0.5, -1, -29.51?\nAnswer: -29.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2361417408.\nAnswer: 2, 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 97, 141, 185, 229?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gljl when four letters picked without replacement from fglljxggllj?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11201498 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 38\/12 - 0. Suppose -v = v - 2*n + 6, 3 = -v - 5*n. What is the second biggest value in v, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1128 by -6.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2636 - 6*b**2 + 3*b**3 + 2662 + 7*b**2 - 3*b**3 - 6090*b**5 wrt b.\nAnswer: -365400*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 1630 = -8946. Round i to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*z - z - 384. Let k(b) = b**2 + 24*b + 5. Let c be k(z). Solve c*f = 6*f - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1409 - 15484\/11. Let k = 97\/55 - r. Let n = 0.044 - 2.044. Which is the nearest to -2? (a) n (b) 3\/7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from woaazkowd.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-15))\/(3512\/2195).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 greater than or equal to 9.824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 805 = 3*l, 0 = 4*p - 0*p + 5*l - 644. Calculate the smallest common multiple of p and 4.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/3, 1653499.6.\nAnswer: -5, -2\/3, 1653499.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6*s**3 + 2*s + 1. Let o be k(-1). Let d be (-1)\/o - 3\/(-15). Let m = 1.1 + -5.1. Which is the closest to d? (a) m (b) 2\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -565 + 5169. What are the prime factors of s?\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41\/4142638 - -728621671493\/82852760. Let w be 8797 - (-1)\/((-6)\/12). Let a = i - w. Calculate the common denominator of -53\/6 and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqgpgpqppqggpqqqqqp. What is prob of sequence pqgg?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4991 divided by 2?\nAnswer: 4991\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3331854567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*g + 1220*g - 309*g - 303*g - 305*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -2. Solve -c*g + 5*t = -30, 0 = 2*t + 2*t + 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/735 and -79\/315.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**3 + 11*o**2 + 4*o**3 + 0*o**3 - 2*o**2. Let m be r(9). Suppose 2 = d - m*d. Solve 0 = -2*w + 4*h + h - 7, d*h = 4*w - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 - 4*y + 3*y**4 - 1 - 4*y**3 + 0*y**3 + 2*y**3 + 3*y**3 + 20*y**4 to the form t*y**4 + k*y**2 + a*y**3 + j*y + h and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 11185692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 217.84 and -7.\nAnswer: -1524.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/110 and -50\/231?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 44279, 176973, 398095, 707639, 1105599, 1591969, 2166743?\n\"Answer: -d**3 + 44220*d**2 + 41*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 12 + 0 + 2. Suppose w - 18 = 4*w. Determine g(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 1199*n + 131. Let t be v(7). Suppose 744 = -10*r + t. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 356, 692, 1028, 1364, 1700, 2036?\nAnswer: 2372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*3*21\/(-14). Let g = 19 + s. Calculate the least common multiple of 18 and g\/((-2)\/60*-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2388863611 to the nearest integer?\nAnswer: 48876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196370429.\nAnswer: 701, 280129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*n + 37*n + 17*n + 3*n + 3*n - 4*n - 4*n + 5*n - 3*n + (5*n + n - 4*n)*(-2 - 3 + 3) to the form a + f*n and give f.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925546718?\nAnswer: 2, 462773359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51245*0.2.\nAnswer: -10249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**2\/2 - 2*a + 3. Suppose 121*y = 122*y - 4. What is the lowest common multiple of y and q(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 plus 0.15?\nAnswer: -75.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 45524000 rounded to the nearest one million?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1050210 divided by 8.\nAnswer: -525105\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3094*v - 528*v + 2181*v in the form j*v + c and give j.\nAnswer: 4747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3932 by -8.\nAnswer: -983\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 1\/3.\nAnswer: 1\/3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 2*o**2 + o + 0*o + 2*o**2 + 0*o - 4*o**2 - 4*o**2 + 3*o**2 + (o + o + 0*o)*(3*o + o - 6*o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 334420575415 from -5.\nAnswer: -334420575420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -8*a. Let h(y) = 7*y. Let b = -101 - -103. Let c be ((-24)\/8)\/(1\/b). Give c*h(v) - 5*i(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**20)**(-4\/11)\/(d*d**(16\/7))**25)**(-14) assuming d is positive.\nAnswer: d**(11586\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**3 + y**2 - 1. Let c be i(1). Let m = 5404 + -5402. What is the third derivative of l**m + l**4 - 18*l**5 + l**4 - 2*l**c wrt l?\nAnswer: -1080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4088466 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 3*x**2 + 2. Let d be y(3). What is the units digit of 1*d\/((-4)\/(-54))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*k + 25 + 168, -4*m + k - 264 = 0. Let p = -63 - m. Suppose 11 + 1 = 3*x. Solve 0*f - x = -p*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -55781*g**2 - 618932 wrt g.\nAnswer: -111562*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49438)\/18214)\/(((-2)\/(-4))\/(-1)).\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 123830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10193222539 rounded to 6 dps?\nAnswer: 0.101932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 90517.49 litres in millilitres?\nAnswer: 90517490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*g - 2*i - 17, 10 = 3*g - 5*i. Solve -g*z - 19 = 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7298 + 7890.9. What is a rounded to the nearest ten?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**3 - 2*k - k**2 + 2*k - 12*k**3 - 5*k**3.\nAnswer: -8*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38936371 + 38936371 - 2408*f**2.\nAnswer: -2408*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = -5*x - 5*a, 30*a - 32*a = -5*x + 70 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**3 + 2278880*u**2 + 13673388*u + 20510136 = 0. What is u?\nAnswer: -3, 569726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/5))**23\/((x**(-2)*x)\/x)**(-36) assuming x is positive.\nAnswer: x**(-291\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 375*o + 3716. Let y be h(-10). Is y greater than or equal to -174\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcpccpcpcccpccccpppp. What is prob of picking 1 c and 3 p?\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*1.039\nAnswer: 0.2078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a millimeter in micrometers?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**3 - 24864*v**2 + 124196*v + 149064 = 0.\nAnswer: -1, 6, 6211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3116 + -3119 - (-2 + 0 + 104) - -18?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0 - (1 - 9)) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g = 1390163 - 1392435 for g.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87940 is divided by 27908?\nAnswer: 4216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/20 in 0.5, 0.7, -0.045, 4\/5?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473*k**2 + 474*k**2 - k**3 - 947*k**2 - k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 9:30 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*r - 64. Let b(v) = -v**2 + 4*v. Let i be b(4). What is the remainder when (3 - i)\/(3\/r) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -7. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, l: 2, f: 1, g: 1, w: 1}. What is prob of picking 2 l, 1 w, and 1 g?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**4 - 78*m**3 + 765*m**2 + 6372*m + 10368 = 0.\nAnswer: -32, -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*l**2 + 2 - 1 - 61*l**2)*(138 + 11*l - 138)*((-2 + 4 + 0)*(4 - 4 - 2) + 0 + 1 + 0).\nAnswer: -297*l**3 - 33*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 153 = -11*k. List the prime factors of k.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -15\/259 and 1026 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1426 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 256, 574, 1016, 1582?\nAnswer: 2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -11*u + 7*u. Let a be 10\/6*(u + 1). What are the prime factors of (a\/(-2))\/5*106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 4. Let u(f) = 2*f**3 + 19*f**2 + 10*f + 16. Let s be u(-9). Let i be g(s). Let q(o) = o**2 + 10*o - 13. Determine q(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 15 + 25 - 10. Let c(h) = -2*h**2 + 4*h - 2. Calculate -c(b) - 4*r(b).\nAnswer: 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5767*t**2. Let w(b) = 2*b. Give v(w(c)).\nAnswer: 23068*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5 + 62*r**3 - 2*r**2 + 4*r**2 + 0 - 64*r**3. Let o(q) = -q**3 + q**2 - 3. Give -3*c(m) + 5*o(m).\nAnswer: m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (105 + -106 + 0 + 11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3701, -14846, -33405, -59348, -92645, -133266, -181181, -236360?\nAnswer: -298773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 704*r + 912*r - 1576 - 4*r**2 - 893*r + 857*r.\nAnswer: -4*(r - 394)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**2 + 57*p - 17. Calculate k(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + j - 7 = 0, 4*h + 540*j - 539*j + 11 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 5*t - 5*c + 12, -c - 71 = -4*t. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*j - 4 = p, -4*p + 8 = -4*j. Let k(q) be the third derivative of 1\/12*q**5 - 1\/12*q**4 - 3*q**2 - 1\/2*q**3 + 0 - 1\/120*q**6 + 0*q. Determine k(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1392789 times -0.5\nAnswer: 696394.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3541\/10 + -364. Suppose -i - 7 = 6*i. Calculate the common denominator of -2 - (35\/(-18))\/i and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 1:45 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -716 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65198 and 6.\nAnswer: 195594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-906)\/(-585) - -4)\/(2\/3). Let i = 25\/13 - l. Find the common denominator of 59\/45 and i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14961\/4 + -3769. Is -29 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1844756ng in milligrams?\nAnswer: 0.0000001844756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20255002.\nAnswer: 2, 10127501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111621 is divided by 289?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*g - 793 = 0, -2*a - g = -2*g - 316. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3750\/(-1500))\/((-1)\/4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2333*t + 22 - 2334*t - 2335*t + 7000*t. Let d(m) = -m. Determine o(d(c)).\nAnswer: 2*c + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 3 + 3)*(-3*h**2 - h**3 + 3*h**2) + 0*h**2 + 0*h**2 - 2*h**5 + (-7*h**2 + 5*h**4 - h**4 - 5*h**4)*(0*h + 4*h - 3*h).\nAnswer: -4*h**5 - 7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 319\/10 + -158\/5. Let h(f) be the first derivative of -2\/5*f**3 - 3\/20*f**4 + r*f**2 + 2 + 6\/5*f. Let h(j) = 0. What is j?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*l**3 - 14*l**2 + 75*l**3 + 14*l**2.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 3*f**2 + 1. Let k be (-1)\/8*-2 + 195\/52. Let q be n(k). Calculate the greatest common divisor of q and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 87 = -132 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168\/(-4))\/6*43\/17200*-20.\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + r + 2*r)*(-622 + 297 - 615) + (-2 + 3 + 0)*(r - r - r).\nAnswer: -941*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.331 and 109284 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.33 - -0.03. Let u = -0.15 + 0.65. Let q = -0.3 + u. What is the nearest to 2\/5 in 1, l, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.22234 rounded to 1 dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -251431*y**5 + y + 120062 wrt y?\nAnswer: -5028620*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2221053?\nAnswer: 3, 740351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 11 + 1 = 0. Let x = 1 + l. Solve -x = 3*n - 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3*v + 18162, b + 14528 = 5*b - 4*v. What are the prime factors of b?\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**19*a**10)\/(a**(-18\/11)*a\/a**(12\/11)) assuming a is positive.\nAnswer: a**(338\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -413 at most -414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, h: 2, o: 1, n: 1, w: 1}. What is prob of sequence wn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - (sqrt(252) - (sqrt(252) - 1*sqrt(252)))*-3 - sqrt(252))\/(2*sqrt(36))*-1.\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - -16. Let r = i - 33. Find the second derivative of 2*c - 21*c**2 + 0*c + r*c**2 wrt c.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5213138 (base 9) in base 11?\nAnswer: 1631871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.184344 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3755*q + 10. Let o be z(-2). What is o rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nrnnnrnnnnnnnr.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1090*i**5 - 670*i wrt i?\nAnswer: 21800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69.56 - 71. Let w = -0.78 - u. What is w rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 6 + 4)*(1 - 1 + 1 + 1 + 3 - 5 + 2 - 1 - 2 + (2 - 2 + 1)*(1 - 2 + 3) + 4 - 3 + 0)*(y + y - 4*y).\nAnswer: -36*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 12:45 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -403 + 206?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 7 - 1. Let o = b - -5. Calculate the lowest common multiple of 6 and 8 + -3*o\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12 - 651\/60 - 55\/(-44). Determine n so that -3*n**2 + k*n**4 - 9\/5*n + 9\/5*n**3 + 3\/5 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 3*u - 235, 4*y - 72 - 153 = -u. What is the remainder when 156 is divided by 1*y + (5 - 4) - 2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/7)*m\/m**1*m**(-8)*((m*m\/m**(-4))\/m)\/m*m assuming m is positive.\nAnswer: m**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/4 + 131*h\/4 = 0. Calculate h.\nAnswer: -131, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(3\/14)\/t*t))\/(t*t**(4\/5)))**(-29) assuming t is positive.\nAnswer: t**(2059\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -27.0007387. Round t to five dps.\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1380)\/(-1610))\/(3\/(-49))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14500044193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2. Let u(d) = 18*d**2. Calculate -48*r(q) - 3*u(q).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbg when three letters picked without replacement from {b: 7, g: 1, c: 5, n: 5, q: 1}?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jctcs. What is prob of sequence jjc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 967.88?\nAnswer: -387.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(3 + (1 - 1)). Let q(w) = -w**3 - 5*w**2 + 3*w - 1. Let g be q(n). What is the highest common factor of 51 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5936099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 81434560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**5\/30 + z**4\/12 + 6*z**2. Calculate the remainder when 34 is divided by b(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -17178 - 17175 + 34346 + a + 3*a - a. Give y(-12).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3294671 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5 = 4. Suppose 0 = j*p - 4*p. Suppose 5*o + 10 = 5*t - 0, 3*t - 15 = p. Solve o*s = 2*s - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 923885, 923873, 923859, 923843, 923825, 923805?\n\"Answer: -q**2 - 9*q + 923895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*p + 11*m - 5*m, 6 = -3*m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/106594513 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 10 - 2 = 12. Let m be (-13)\/(-3) - (-1)\/(-3). Solve m*y = 2*z + 6, 5*z + j*y = 7*y - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36765 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*u**3 - 13*u**2 + 268*u**3 - 144*u**3 - 68.\nAnswer: -9*u**3 - 13*u**2 - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9482425?\nAnswer: 5, 19, 19963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 15, g = y - 4*g + 683. Let b = y + 1957. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 4:41 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 712141738 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121 + 32*s**2 + 132 - 253.\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -162864 + 814322\/5. Find d, given that -s*d**2 + 12\/5*d - 18\/5 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*z + 56 = -357 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 + 10*s - 14. Let p be z(-6). Sort 0, p, -12.\nAnswer: -12, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000458293041 to 6 decimal places.\nAnswer: -0.000458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**3\/3 - 6*f**2 + 7*f - 50. Let g(y) = -y**2 - y. Let n(b) = -2*g(b) + x(b). Calculate n(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 18*w**2 + 12*w + 33. Let f be g(-19). Let y = f - 104. What are the prime factors of y?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-8)*u)\/u**(-5\/6))\/(u**3\/u**(2\/11)) assuming u is positive.\nAnswer: u**(-593\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) 0.2 (c) 3 (d) -3 (e) -1\/3 (f) 14.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 882.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*(sqrt(38) + sqrt(152)))\/((sqrt(36) + 3*sqrt(36))\/sqrt(2) + sqrt(18)) + -1.\nAnswer: -sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 1, e: 1, h: 2, q: 1, z: 1}. Give prob of sequence ze.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1440751.4096 to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 3. Let d be (1*5)\/(k - 5). Suppose -5*z + 7 + 8 = 0. Solve -2 = -z*x - 2*w, 3*x = -0*x + 5*w - d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 800 divide 529704000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 8 = -s. Suppose -9*o + 52 = -5*o. Suppose o*i - 12*i - 44 = 0. Calculate the greatest common divisor of s and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*x + 5*x + b - 20, 3*b - 12 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/193 in -2, 11, 1, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/4 (b) -1.2444 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28990640779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*i**2*j + 457*i**2 - i*j + 70*i + 29*j wrt i?\nAnswer: 20*j + 914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 43\/4 of a millennium?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -517*q + 495*q - 176 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 393949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 140\/(-6)*108\/(-24). Let k = -106 + m. Which is smaller: 1\/20 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -5. Let f = -11 + 10. What is the nearest to f in w, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n**2 - 14*n**2 + 24*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9*n**2 - 23*n + 22. What is u(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**2. Let u(i) be the third derivative of -i**5\/60 + i**4\/3 + 11*i**3\/6 + 15*i**2. Let x be u(9). Let y(c) = -c + x*c + 0*c. Give y(s(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/408 and 119\/57390384.\nAnswer: 975636528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1126474 + 1126527. Let j(m) = -m**3 - m**2 + 689. Let y be j(0). Calculate the highest common factor of y and v.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 16944*r**2 - 2*r + 4. Let i be l(-6). What is i rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + v**2 - v. Let c(l) = -6*l + 25. Let j(u) = -5*u + 24. Let y(n) = -4*c(n) + 5*j(n). Let h be y(18). Determine x(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(25\/5)\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in six fifths of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, -4, -5, -342, 1, 3 in ascending order.\nAnswer: -342, -5, -4, 1, 3, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -211\/15 + 938\/45. Find the common denominator of 43\/9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(4\/7) - -3. Let z(n) = -n**2 - 4*n + 2. What is z(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 135086300 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 - 20*k + 24. Let j(l) = 2*l**2 - 19*l + 26. Let r(d) = 6*b(d) - 5*j(d). Calculate the remainder when 444\/48 + (-2)\/8 is divided by r(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/8 - (4 + -6). Let n = -28.1 - 16. Let b = n - -39.1. Sort b, -0.1, l, -0.5 in descending order.\nAnswer: l, -0.1, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 5161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*k**2 - 23*k**2 + 63 + 11*k**2 + (0*k + 0*k + k)*(-2*k - 3*k + 0*k) to v*k + s + h*k**2 and give s.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + p**2 + 2*p - 6. Let w be m(2). Find the first derivative of 10*i + 12*i - w + 16*i - 27*i wrt i.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*(sqrt(1100) + 1))**2 + -2.\nAnswer: 180*sqrt(11) + 9907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -2139522.\nAnswer: -5\/2139522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*145\/(-1885).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 5*c**2 + 14*c - 1. Let s be u(-7). Let b be (1 + -2)\/s + 4. Calculate the greatest common factor of 80 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 6:09 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179726 is divided by 25186?\nAnswer: 3424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(3)*-5*1.\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16519029?\nAnswer: 3, 5506343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 10112?\nAnswer: -10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 243*x**2 - 2*x + 4. Let v be a(1). Suppose -41*k - 40 = -v. Solve 7 = 2*y - 3*m - 4, -k*m = 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 6*m**2 - 13*m**2 - 2*m.\nAnswer: -9*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/18*(-2 - (-996)\/9). Suppose -s*z + 315 = -158*z. Suppose 0 - 28 = -4*t. Calculate the highest common divisor of t and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 583360 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36365 - 32746. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*q + 100 = 107*q. Let u = 85 + q. Find the common denominator of -37\/21 and ((-6)\/u)\/(54\/235).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -1, 0.4, 4, -228?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, x: 3, r: 2, c: 5}. Give prob of sequence rxcc.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c58 - 1370?\nAnswer: -52c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 14. Let q = -12\/37 + 221\/111. What is the second biggest value in q, -1\/2, i, 1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 2*y**2 - 2*y**2 - 3*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169739.\nAnswer: 269, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfe when three letters picked without replacement from {j: 3, e: 12, f: 1, g: 4}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 573410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**6\/60 - l**5\/20 - l**4\/12 - l**3\/6 - 141*l**2. Let o(w) = w**2 + 2*w - 5. Let a be o(-3). Calculate d(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182800 divided by 200?\nAnswer: -914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1217245, 2434451, 3651571, 4868563, 6085385, 7301995, 8518351?\nAnswer: 9734411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**8\/56 - y**5\/20 + 5*y**2. What is the third derivative of s(d) wrt d?\nAnswer: -360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302644923.\nAnswer: 73, 167, 106853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 67 - -2b?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -370.000398 + 370. Round c to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -15.4. Let n(z) = 4*z**2 + 4*z. Let k be n(-5). Let f be k\/(-30)*1\/6. Which is the closest to 0? (a) t (b) f (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, c: 8}. Give prob of sequence xx.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -4*z + 36, 4*d - 405*z = -401*z - 36 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.205214 rounded to one decimal place?\nAnswer: 26.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Let x be (-12)\/48 + 63200034\/8. Suppose -m - 4*z = x, 0 = -3*m - m - i*z - 31600002. What is m rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/66*-1095 - (-4)\/(-22). Put -3, -5, 1, p in decreasing order.\nAnswer: p, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 1:41 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 178 + -782. Let y = -380 - m. Is 32 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(-3)\/12*-1. Let v be z\/((-132)\/(-64) + -2). Does 11 divide 3\/((-1)\/v*3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 621454, 1242909, 1864364, 2485819, 3107274?\n\"Answer: 621455*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18460*b + 9232*b - b**2 - 7 + 9230*b + 18*b**3 to c*b**2 + d*b + y + t*b**3 and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (0 - 1)*40. Let p = -44 - y. Let v(m) = 73*m**2 + 3*m - 10. Let j be v(p). Round j to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -92032267651?\nAnswer: 92032267651.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l**4 + 12*l**2 + 5*l**2 - 12*l**2 + l + 3 - 2*l**3 - 11*l**4 to the form p + w*l + x*l**4 + m*l**2 + c*l**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a second in microseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32630 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23, 45, 81, 137, 219, 333, 485?\n\"Answer: j**3 + j**2 + 12*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5695, -5, -30, 5 in decreasing order.\nAnswer: 5, -5, -30, -5695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -37, -228, -549, -1000, -1581, -2292?\n\"Answer: -65*r**2 + 4*r + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-152)\/(-6))\/2 - (-22)\/(-33). Let t(m) = m - 12 + 12*m**2 + 3*m**3 + 0*m - 4*m**3. Let a be t(d). Solve -3*g = -4*f + 20, a*f + f - 5 = 5*g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 450 + 86 = -71*j, -16*p + j = -14*p + 5*j - 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 6587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71677075 is divided by 291.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (1 - 0) - -10. Suppose -3*f - m + 46 = 0. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(9\/(-5)))\/((-660)\/792). Solve 3*s + 2 = p - s, -c*p - s + 4 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 58, -3, 1009.\nAnswer: -3, -2, 6, 58, 1009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1776, -1778, -1780, -1782, -1784, -1786?\n\"Answer: -2*m - 1774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/566 and -93\/22?\nAnswer: 6226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-87)\/2*(-4)\/(-3). Let q = -155079\/2690 + 27\/538. Let h = q - g. What is the closest to -0.1 in h, 1, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 3 - -4 - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/sqrt(250) - (sqrt(68) + -2)**2 - (2 + sqrt(1275)\/sqrt(3) + sqrt(187)\/sqrt(44)).\nAnswer: -74 + 27*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, -0.003, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**3 - 26*o**3 - 10*o**3)*(-2*o + 2*o + 0*o + 21*o**2).\nAnswer: -882*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 2*a**2 - 2*a. Let p be y(-2). Let w = p - 3. Which is smaller: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*g - 8*g + 14*g**2)*(-2*g**2 + 2*g**2 - 2*g**2) - g**2 + g**4 + g**2 - 2*g**3 + 2*g**3 + 5*g**4 as r + p*g + d*g**3 + t*g**4 + i*g**2 and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -1, 4*g + 4*m = m + 19. Suppose 1 = 5*f - g. Put -1, 5, f, -3 in descending order.\nAnswer: 5, f, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 minus -3493.9?\nAnswer: 3470.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 10*x + 1. Let i(q) = 9*q + 1. Let o(k) = -5*k + 1. Let w be o(-1). Let m(f) = w*i(f) - 5*d(f). Is 17 a factor of m(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 6*a**2 - 7*a - 4. Let u be b(-5). Let w(l) = l - 6. Give w(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47884 is divided by 7909.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1100752923 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxtddxv. Give prob of picking 1 v and 2 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 5*p, 54*p + 8 = -4*v + 58*p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19b4 (base 14) to base 6.\nAnswer: 33334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxdmddxxrdl. Give prob of picking 1 m, 1 l, and 1 x.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15057 is divided by 4495.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/12 and -117242 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 11 = -4*g. Suppose -102*w = -116*w - 98. Are w and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 3*y - 28 = 16*c - 2*c + 41, 6*y + 15 = -4*c - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.65 - 0.62. Which is the third biggest value? (a) -4 (b) x (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46.5 - 27. Let c = g + 3.5. Let d = c - 23.44. What is d rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26)\/(-3) + 20\/15. Let u = 12 - c. Solve -3*k = 5 - u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdd when three letters picked without replacement from vvvvvvkdvvdvk?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 5*v - 35 + 33, 5*v - 16 = 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415 + 710*y - 409 + 824 - 549*y.\nAnswer: 161*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -3. Let c be -4 + 10 + (4 - 7). Suppose -5*v = 2*y - 57, x = -c*y + y + v + 39. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6095*u**2 - 3046*u**2 + 2892*u - 3047*u**2.\nAnswer: 2*u**2 + 2892*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -259.9038 - -260.0758073. Let b = k - 0.172. What is b rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12354147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3 - 12, 2*l = 3*t - 7. Let j(s) = s - 1. Determine j(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138393*k - 72359*k - 66031*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (3 - -2))*-14*(-12)\/(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 4*k + 4*k - 5*k - 2*k + 3*k + (-4 + 3 - 1)*(-k + 0*k + 0*k) + k + 1 - 1 + 3*k - k - 4*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2568 - -82169\/32. Calculate the common denominator of -119\/40 and k.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1083 - 596. Suppose -o = -4*y + 445. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -142982, -142979, -142976, -142973, -142970, -142967?\n\"Answer: 3*w - 142985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12612616 and 256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/8*(-16)\/(-40). Do -2 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25912 - -26296. Calculate the highest common factor of 174 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48\/10100639 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-1 + -1 - -1 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 925*c**3 - 14*c**2 - 9*c - 8. Let v be s(-11). Let r = -63775 - v. Let x = r - -20997. Round x to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 + 13*y - 4. What is z(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 119*w**3 - 2*w - 118*w**3 + 5*w**2)*(6*w - w + w).\nAnswer: 6*w**4 + 18*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4966482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*z + 14*z**2 - 14*z**2 - 37*z - z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4*6*(sqrt(363) - (2 + sqrt(363))*6))**2 + -5.\nAnswer: 760320*sqrt(3) + 5310144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**3 - 12*q**2 + 13*q + 33. Is 66 a factor of y(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18094? (a) 3 (b) 1\/5 (c) 539\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*t + 1822 + 1958 = 1743 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13331101011 - 1221?\nAnswer: -13331102232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169, 331, 485, 631?\nAnswer: 769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 880 - 0?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c + 91 - 91 + 144*c as f*c + w and give f.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.18 rounded to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**4\/4 - b**3\/3 + b**2\/2 + 3*b + 9. Let w be y(2). Which is smaller: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 20*w**2 + 98*w - 14. Let n be t(-10). Let v(b) = -b**2 + 7*b - 8. What is v(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.59 (c) 0.97 (d) 0.4 (e) -154\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*i - 25 = 0, 10 + 0 = 5*s - 2*i. Let o be (s - -628) + (27 - 23). List the prime factors of o\/7 + (-30)\/105.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a125 (base 15) to base 16.\nAnswer: 84da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/9*4*-3)\/(3\/(87\/(-5278)))\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.79992 - 15.81598. Let y = -18.6051 + 0.0051. Let q = y - a. What is q rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.38995077 to four decimal places.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 4, -5\/6, 0, -88 in ascending order.\nAnswer: -88, -5\/6, 0, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9444)\/99162)\/((4\/126)\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3924160363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s*s**(-1))\/s))**13\/(s**(-2)\/s)**(7\/10))**(1\/22) assuming s is positive.\nAnswer: s**(151\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -19*f - 17*f + 5. Suppose 4*h + o - 6 = 0, -5 = 4*h - 3*h - 3*o. Sort 3, h, -5, f.\nAnswer: -5, f, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-4 + sqrt(180) + 0 + sqrt(180))**2 + (sqrt(125)\/sqrt(5))\/sqrt(5) + 5 + sqrt(125)).\nAnswer: -741 + 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 298 + -159. Solve -z*r + 20 = -144*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 4:46 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 290*k**3 - 8*k - 5. Let s(l) = 97*l**3 - 3*l - 2. What is -3*a(c) + 8*s(c)?\nAnswer: -94*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6844.754 + 6782. Let h = -0.254 - s. Let m = h + -63. Which is the biggest value? (a) -0.2 (b) m (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (387\/36)\/((-2)\/(-8)). Let l = -22 + y. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1370006 is divided by 1250.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/sqrt(2))\/sqrt(11) + -3*sqrt(20)\/(sqrt(30)\/sqrt(3)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - n + 8. Is g(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 76\/(-646) + (-19)\/(-17). What is the nearest to -4\/3 in 6, b, 0.12, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2)*(-494)\/(-57). Calculate the highest common factor of h and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 118, 170, 218, 262, 302, 338?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkooovo. Give prob of picking 1 v and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32147383?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168.2 - 211. Let u = -0.029 + 49.029. Let c = u + l. What is c rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -aa + 249a?\nAnswer: 23d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y - 12. Let s(a) be the second derivative of -1\/5*a**6 + 0*a**y + 0*a**2 + 4\/5*a**5 - a - 2\/3*a**4 + 0. Factor s(o).\nAnswer: -2*o**2*(o - 2)*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 10:25 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-292)\/(-20) - (170 - 159)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-401235)\/(-92))\/(6\/2). Let s = v + -1446. Find the common denominator of s and -43\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w - 231. What is the smallest common multiple of z(-27) and 11?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -162, -325, -488, -651, -814, -977?\n\"Answer: -163*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -88\/3. What is the common denominator of 32\/5 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**5\/20 + o**4 + 2*o**3 + 8*o**2 - 7*o. Calculate the remainder when t(-11) is divided by ((-3)\/(-2))\/(12\/16).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/n**(-3\/10))*n**(1\/10)\/n*n)\/(n*n*n**1)**(-28) assuming n is positive.\nAnswer: n**(424\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(40)\/(sqrt(10)\/(sqrt(2) + sqrt(72))))\/(sqrt(100)*1 - -2*sqrt(144)))**2.\nAnswer: 882\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660 = -63061*u + 63116*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*b - 14 = 351*b + 4*z + 8, -15*b = 4*z + 46 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 856 and 8362264.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1d2 (base 14) to base 13\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 354368658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16460 + 16465. Solve -2*u + 2*f = 0, -3*u + 14*f - 12*f - j = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnrw when four letters picked without replacement from {w: 1, n: 2, r: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*x - 0*n - 10934, -3*x + 10910 = -5*n. Solve -x*o - 25 = -3645*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, c: 4, k: 4}. Give prob of sequence kk.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -45 + 13. Suppose -5*q - u = -68. What is the remainder when 22 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 208\/3 or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.78 - -1.78. Let w be 6\/14*-1 + 0. Sort l, w, -3\/2 in ascending order.\nAnswer: l, -3\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, m: 5, b: 2}. What is prob of picking 1 q and 1 b?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1312\/5 - 262. Let x be 2 + 2\/4 + (-32)\/8. Which is the nearest to z? (a) x (b) -0.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 13*q**2\/2 + 23*q - 8. Is w(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-125 - -128 - (5 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*sqrt(1377))**2 + -3.\nAnswer: 18*sqrt(17) + 1375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 7*j + 7*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 2*k - 8. Suppose 4*o - 127*r + 131*r = 20, 4*r - 25 = -5*o. What is x(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) 117 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 3119\nAnswer: -9357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (-90 + 6)) + -1 - (-1 - -4 - 0)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75075)\/250)\/(-39) + (-51)\/6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 87 + 3*n - 85. Let i be f(-1). List the prime factors of (1 - 6)*(98\/(-35) - i).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*y, 3*k - 6*y + 3*y - 30 = 0. Solve -14 = -k*f + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z + 14. Let f be w(5). Suppose -4*h + f*s = -29 - 3, 3*h - 5*s = 20. Solve 4*x - 9 = -5*g, 0 = 5*x + 5*g - 0 - h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59223, 59243, 59263, 59283, 59303?\nAnswer: 59323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -841*o**4 - 4756*o**3\/3 - 768*o**2 - 144*o + 215. Determine n, given that y(n) = 0.\nAnswer: -1, -6\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**5 - 5*v**4 + 165*v**3 + 940*v?\nAnswer: -40*v**3 - 60*v**2 + 990*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20811, 40886, 60973, 81078, 101207, 121366?\nAnswer: 141561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -840.1 + 840.0000025. Let c = 0.1 + v. Round c to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -7. Let v = c - -7. Suppose v*u + 180000 = 7*u. Round u to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -16. What is the greatest common divisor of o and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18\/5 in 0.07, 162, 2\/23?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 503\/105 - 428\/105. Factor 0 + g*z**2 - 1\/7*z.\nAnswer: z*(5*z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from sssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 68847?\nAnswer: 68847.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 41*u + 40. Determine s(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 149175?\nAnswer: 447525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 46838421 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 695.5906 meters in micrometers?\nAnswer: 695590600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/((r**(4\/13)*r)\/r))*r*r**(7\/3))\/(r\/(r*(r\/r**7)\/r*r))**(-1\/25) assuming r is positive.\nAnswer: r**(3784\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {u: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**2. Let h(r) be the third derivative of r**8\/10080 + r**5\/20 + 3*r**2. Let o(m) be the third derivative of h(m). Determine o(w(v)).\nAnswer: 50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 7:47 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0413346 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11164 is divided by 82.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -346 to the nearest 10.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*1*-2*-2. Let g be (64\/10)\/(4\/10). Suppose -h*k + 0 = -g. Calculate the least common multiple of k and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**3\/6 + 5*l**2\/4 + 2*l + 247. Factor d(a).\nAnswer: (a + 1)*(a + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 247 - 240. What is the remainder when y is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2190 = -0*q. Suppose -4*i + n = -9*i + q, -2*n - 255 = -3*i. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -5*f - 20 + 1, 2*p + 4 = -4*f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**7\/630 - 33*a**6\/40 + 7301*a**5\/60 + 22201*a**4\/72 + 64*a**2 + 4*a. Solve y(x) = 0 for x.\nAnswer: -1, 0, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5\/3 - 972*v**4 - 5848*v**3 - 35120*v**2\/3 - 7808*v.\nAnswer: 2*v*(v - 1464)*(v + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 12 = -3*b. Suppose v + 17 = 6*v + b*o, -o + 3 = 0. Does 8 divide v*-2*(-104)\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 9 - 121\/(-11))*(-3)\/102.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.77 - -0.03. Let p = 0.5 - i. Let s = -1.054 - -0.054. Put -4, p, s in decreasing order.\nAnswer: p, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - k**4 + 4*k)*(-1478 + 732 + 742 - 106*k).\nAnswer: 106*k**5 + 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -74979.02 - -0.0014?\nAnswer: -74979.0186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335150 (base 10) to base 16.\nAnswer: 51d2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 - 3*l**3 + 4*l**3 + (-l**2 + 1 - 1)*(-7 + 4*l + 7) + 0 - l**3 + 0 - 2 + l**3 + l**3 + 0*l**3 + (-3 - 2 + 4)*(0 + 0 - l**3).\nAnswer: -l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/17852 and 113\/27876.\nAnswer: 124410588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o - 4. Let p be i(0). Sort 0, 2, p, 5 in decreasing order.\nAnswer: 5, 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 271\/3 + (-2)\/6. Let y(v) = v**2 + 11*v + 36. Let p be y(-9). Calculate the highest common divisor of q and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-42)*(-75)\/3. Let q = k + -503\/266. What is the closest to -2 in 5, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 + 8*a - 8. Let k be n(4). Let q be (-1 + -75)*4\/k. Suppose 4*w - q = 3*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**4 - 6357355*g**3 - 197073495*g**2 - 375074945*g - 184358800 = 0. What is g?\nAnswer: -1271440, -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + s**2 + s + 1. Let b(z) = 4*z**3 + 12*z**2 - 18*z + 13. Let d(x) = b(x) + 3*j(x). Let v be d(-16). Is 2\/59 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 11) to base 6.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 1, -3 in increasing order.\nAnswer: -7, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000131533565 rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 47*u - 7*u - 108 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**3 + 77 + 215 - 11*o - 132 + 9*o + 37 to a + y*o + i*o**2 + t*o**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39 - 102 - 38 + 10)*(-3*m + 0*m + 2*m) to the form g + t*m and give t.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*b. Let r = -0.05 + 0.95. Let m = 1 - r. What is the closest to m in 0.4, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/8, -12, -2, -4, 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15 + 4 + -11 + 152. Let k be (s\/(-24))\/((-6)\/9). Solve 2*x + x = -2*c - k, 5*c = 2*x - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from utvvppeveewuvuv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2. Let r(f) be the third derivative of -11*f**4\/24 + 2*f**2. What is r(i(c))?\nAnswer: 33*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39152341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*r + 50. What is the least common multiple of r and 15 - 1\/(2 + -3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -24, -1\/3, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112.3 + 98.3. Let a = 13.8187 + 0.1213. Let z = a + m. Which is smaller: z or 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 2196583613?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 471832, 943649, 1415434, 1887187, 2358908, 2830597?\n\"Answer: -16*t**2 + 471865*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76983.8 litres to millilitres.\nAnswer: 76983800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 8 + 14)*(0*a - a + 2*a + ((4 + 3 - 3)*(0*a - a + 0*a) - 1 + 1 - 2*a)*(1 - 7 - 12)) as s*a + p and give s.\nAnswer: 1744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xhhxh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6826 = 24*v + 6538 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1640?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -487 + 3415\/7. Which is the second smallest value? (a) 4\/11 (b) g (c) 2\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 3*g + 66. What is n(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 1 + 2. Suppose k*g = -3 - 0. Let t be ((-2)\/12*1)\/g. What is the biggest value in -5, 0.3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(-1\/12)\/(a**(1\/3)\/((a*a\/a**(-6))\/a)))**(3\/7) assuming a is positive.\nAnswer: a**(81\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4800952 and 737.\nAnswer: 52810472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 206595\/(-405)*-117*1\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3\/3 - 2004*t**2 + 6008*t\/3.\nAnswer: 4*t*(t - 1502)*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, q: 1, h: 2, y: 2, l: 1, i: 1}. What is prob of sequence wqh?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.037 (b) 0.66 (c) -0.3 (d) 19\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**3\/3 + 4*y**2 - 7*y + 19. Calculate z(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553845608?\nAnswer: 2, 3797, 18233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 - 4*b**2 - 4*b - 4. Suppose 3*m = 5*d - 34, -2*d + d = 5*m + 10. Is s(m) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/2 + 422145*a**3 - 178198802253*a**2\/2 - 1603891802970*a - 7217666988498.\nAnswer: -(a - 422154)**2*(a + 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 84.001?\nAnswer: 81.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -v - 2*r, 5*r = -5*v + 20. Suppose -w - i + 2 = -7, -v*i = w - 10. Solve 4*f + 0*y - w = -4*y, 2*f - 8 = -3*y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1407 - -3458. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -58 - 18) + (2 + 4 + -3 - 4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42836 + -41444. What is the highest common divisor of 78 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/(u\/((u*u**(-3\/11))\/u)))*u*u*u**(-1\/3)\/u*u*u*(u**(-2\/7))**(2\/85) assuming u is positive.\nAnswer: u**(77218\/19635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -443 + 446. Let w(u) = 26*u**2 - 7*u + 3. What is the tens digit of w(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g = 0. Let v = 2 + -1.5. Which is the third biggest value? (a) v (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = -2*g, 4*g - 12 = 2*g + 4*f. Let h be 4 + -3 + 3 - 2. Let d(t) = -3*t**2 + 4*t**g - 5*t**h. Let s(l) = 2*l. Determine s(d(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {r: 7, b: 9}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3058 + 10381830.5.\nAnswer: 10384888.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21363.88816 and 0.202.\nAnswer: 21364.09016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-31864)\/21*-3 + -2. Suppose 0*y = 7*y - g. What are the prime factors of y?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4 + 738*f**2 + 6760*f + 13800 = 0. Calculate f.\nAnswer: -10, -3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7044558 is divided by 2348179?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r + r + 0*r + (0 - 1 + 2)*(2*r - 3*r + 0*r) + 433*r - 50*r + 291*r + 156*r - 94*r as h + g*r and give g.\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 626707 (base 8) to base 14\nAnswer: 55cc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/20*(-192)\/36. Suppose t - 2*n - 202 = 0, 5*t - 2*n = 562 + 488. What is the greatest common divisor of x and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 39. Let t(z) = -2*z**2 - 26*z + 26*z + 4*z**2. Give i(t(g)).\nAnswer: -2*g**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 1 + 8 - 211657*v**2 + 4.\nAnswer: -211657*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*(sqrt(11) + sqrt(33)\/sqrt(3)))**2*1.\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 0. Let i(l) = -l**2 + 4*l + 3. Let g be i(n). Suppose 0 = -4*x + 5*c + 123, 8*x + c = g*x + 161. What is the highest common factor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65273054?\nAnswer: 2, 7, 11, 43, 9857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6294, 6299, 6316, 6351, 6410, 6499, 6624?\nAnswer: 6791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 + 167*z - 339*z + 172*z.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*t**3 - 5*t**2 - 160 with respect to t.\nAnswer: -48*t**2 - 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45427009 is divided by 8768.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 6 = 3. Is (7 + 0)\/(p\/(-9)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2\/7 - 24784*v\/7 - 7080 = 0.\nAnswer: -12390, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 5*n**2 - 8*n - 2. Let k be f(-5). Solve -16*o + k = -42 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -9, 171, -3, -5\/3, -0.5, 0.03?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5326.\nAnswer: 2, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-22 - (-21 + 15))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 13. Suppose -5*a - 10 = -3*n, 5 - p = -5*n - 2*a. Let l(c) = -c**3 - c**2. Calculate l(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2850952\/130 - 39\/(-65)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156433 is divided by 738?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23849, -23848, -23847, -23846, -23845, -23844?\n\"Answer: h - 23850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-314)\/(-314))\/((-21)\/6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from {i: 1, y: 1, h: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 - 6*k**2 + 1755*k - 7*k**3 - 15*k**2 - 1755*k.\nAnswer: -7*k**3 - 15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w - 39*w = 23*w - 105 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208483?\nAnswer: 11, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2511 - -2783. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8016447, -8016431, -8016415, -8016399, -8016383, -8016367?\n\"Answer: 16*g - 8016463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 4, 0.0463, 0.1, -0.1, 6\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, j: 13}. What is prob of sequence zjj?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 + -47. Let i = -28 + 46. What is the highest common divisor of o and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*4*(-2)\/(-12). What are the prime factors of b - (-1 - (-3 + 4))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696634 is divided by 231282?\nAnswer: 2788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 15*h**3 - 20*h**3 - 22*h**3 + 0*h**2 + 21*h**3 - h**2 as o + j*h**3 + q*h + p*h**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1013301843909 + -5.\nAnswer: 1013301843904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 270, 536, 804, 1074?\n\"Answer: s**2 + 263*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.8045 rounded to zero dps?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4*w + 504, 4*w - 39 = -67. Calculate the remainder when p is divided by 116.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*l + 185*l + 27 = 0. Solve l*j + 38 - 35 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -80*b + 774 = 342 - 448 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*f - 291. Let u = f + 140. Let n = u + -23. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2926368?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-390)\/5265 - (-58)\/1512?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 804555 and 81?\nAnswer: 7240995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 4:49 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 20*m**2 - 18*m + 21. Let o be q(21). What is the highest common factor of o and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 + k**3 - k + 0*k - k**2 - 3*k**2 to the form a*k**3 + w + h*k + y*k**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2\/9, -0.25, -2\/5, -4?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -122301 (base 4) in base 15?\nAnswer: -793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*j + 119 = 28*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4206 is divided by 600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-2)*(-16)\/532?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 1017*z - 1013*z = 20, -5*z + 30 = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 29.9783?\nAnswer: -29.5783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -11. Let n(l) = -3*l - 2*l**2 - 2 + 2*l + 0*l + 0*l. Let q(b) = -5*b**2 - 3*b**2 - b + 5*b**2 - 3 - b. Give d*q(f) - 4*n(f).\nAnswer: -f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 41 - 95 - 2*x + 55. What is a(11)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5)**(-43)\/(((n\/(n\/n**(-13\/5)))\/n)\/(n\/(((n\/(n*n**(-3\/14)))\/n)\/n))) assuming n is positive.\nAnswer: n**(-14603\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*z**2 - 8*z**2 - 5*z - 11*z**2 - 11*z wrt z?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 241.7 + -241.700001273. Round r to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**6\/900 - l**5\/100 - l**4\/30 - 4*l**3\/3 - 76. Let i(m) be the third derivative of o(m). Factor i(h).\nAnswer: -2*(h + 1)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 0.98, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2 (b) -16 (c) -167983 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13842, 12513, 11016, 9345, 7494, 5457, 3228, 801?\nAnswer: -1830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -31 + 14 + 12*h + 14 + 5*h. What is the least common multiple of 22 and y(1)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 3:34 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 + 8*y + 41. Give c(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -609 - -611. Let c(h) = -7*h + 5*h + 4*h - 2*h**2 + h**3. Let n be c(2). Solve 0 = a*w - n*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1004 is divided by 78.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 891102? (a) -0.4 (b) 17 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*y + 37*y - 345. Solve q - 2*c - 17 + y = 0, 0 = -c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 6:28 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5\/296 (b) 2\/29 (c) -11\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 != 229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -2644.2529\nAnswer: -2644.5529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 40325 (base 6) to base 4\nAnswer: 1102331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 646282*d**2 - 1292573*d**2 + 646293*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/10 + 4)*1*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - 1.8. Let i = 3 + n. Let m = -2 + i. What is the closest to 0 in 0, -0.3, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2 = f. Suppose -7*i = -f*i - 150. Calculate the highest common factor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -0.5, -108\/53?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r - 15 = 0. Let h(v) = 139*v + 139. Let k be h(-1). Put r, k, 3, 5 in decreasing order.\nAnswer: 5, 3, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 114 = 2*l. Let n = l - 25. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 51, -0.5, 13, -3\/47?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(4760\/(-10))*-72)\/((-136)\/(-595))\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 276 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-1)*2)\/50. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 58*h**3 - 2*h**2 - 32*h + 68. Let z be n(2). Solve 2*r - 12 = 4*y, -r - 461 = 5*y - z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6\/5, -0.2, -1\/27.\nAnswer: -5, -6\/5, -0.2, -1\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -4, -3, -2, -2.3 in increasing order.\nAnswer: -4, -3, -2.3, -2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/10)\/(-11 - 3619\/(-330)). Which is greater: -39 or t?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15335929.\nAnswer: 7, 59, 71, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.16014522 minus -1?\nAnswer: -0.16014522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(192\/24))\/(2\/34)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2040 - -2044. Suppose 2*l = -f - 11, l = 4*l - f + 14. Let s(u) = 5*u**2 - 2*u. Let h(z) = -2*z - 1 + 6*z**2 + 1. Determine l*s(j) + r*h(j).\nAnswer: -j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**6\/150 - 39*a**5\/50 - 169*a**4\/5 - 8788*a**3\/15 - a - 583. Suppose l(m) = 0. What is m?\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -96551*x**4 + 372*x**3 - 76996551.\nAnswer: -386204*x**3 + 1116*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5075 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 482860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, q: 1}. Give prob of picking 2 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 - 0 - (0 - 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 1 - 3*x + 4*x)*(27*x + 71 - 71) + 4 - 438*x + 438*x - 3*x**2.\nAnswer: -57*x**2 + 27*x + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1022 is divided by ((246\/12)\/1)\/(-2*(-9)\/180).\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*k - 3)*(5*k**2 - 16*k**2 + 5*k + 4*k**2) as a*k + y*k**2 + j + v*k**3 and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587314.\nAnswer: 2, 7, 13, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-29 - -22) + -3 - 23)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30efb0 (base 16) to base 7\nAnswer: -36155053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + (-57)\/(-9))\/(5\/690). Let m = 17 + 6. Calculate the greatest common factor of m and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291944989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 903*t**4 + 3*t**2 - 2*t + 15 wrt t.\nAnswer: 21672*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, s: 4, w: 3}. What is prob of picking 1 s and 2 n?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -273\/2 or -136?\nAnswer: -273\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1\/25, -3, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 3*j + 5. Let p be c(0). Let u be (-1)\/p + 82\/10. Solve 0 = 2*b - 2*x + 10, -5*x - u = -2*b - 24 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24 - 5?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1243681, 1243855, 1244029, 1244203, 1244377, 1244551?\nAnswer: 1244725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - -55. What are the prime factors of u?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 9*p + 2. Let c = p - -4. Does 5 divide c\/1 - (-16 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3615792 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38236032 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.44903 rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -d - 6. What is the third derivative of -d*m**2 - 6*m**2 - 7*m**4 + 8*m**2 wrt m?\nAnswer: -168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-12)*(-4)\/(-17).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdzozposdpprpzz. Give prob of sequence rszp.\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -67 in -5\/4, -0.3, -23, 18?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 13*o - 2. Suppose -4*g + 5*g = 5*m + 8, m - 20 = 2*g. Calculate the remainder when 11 is divided by i(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 15*b**2 - 36*b + 3. What is z(-11)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**3 - 20*n**2 + 7*n + 7. Calculate m(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-199)\/(-360) + 26\/(-65) and (30\/100)\/(6\/146)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 59000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oocccoccooccccoo. What is prob of sequence coo?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, d: 4, p: 4}. Give prob of sequence dpp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 290214 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 57322*s**2 + 57310*s**2 + s - 4*s - 114623*s**2 + 2*s.\nAnswer: 9*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 3*h - 3. Let v be s(-4). Let g = v + -12. Let x = 147 + -95. What is the greatest common factor of g and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**4\/4 + 19*a - 782. What is c(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 291190 divided by 5\nAnswer: 58238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 81*m - 5. Let c(r) = 574 + 540 - 1732 + 530*r + 580 + 78*r. What is -5*c(p) + 38*q(p)?\nAnswer: 38*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(-112) + 1704\/14. Let j = o + -86. What is the highest common factor of 54 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -605, -2004, -4327, -7568, -11721?\n\"Answer: j**3 - 468*j**2 - 2*j - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -26*t**3\/7 - 7379*t**2\/7 + 219742*t\/7 - 41985\/7 = 0.\nAnswer: -311, 5\/26, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**7\/28 + j**6\/10 - j**4\/4 - j**3\/4 + 7*j. Let z(n) = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 6. Suppose 4*a - 2*q - 22 = 0, 2*q = -2*a - 0*q - 4. Solve 5*p - a = b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 480\/13 or 1?\nAnswer: 480\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + a**2 - 2*a**2)*(a - 2*a + 3*a) - 148*a**3 + 490*a**3 + 109*a**3.\nAnswer: 449*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2206?\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.88341 and 56.8?\nAnswer: -50.177688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5151 is divided by 4587?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-1 + 0 + 4)*(-4 + 4 + 3)*(-i + 3*i + 0*i).\nAnswer: -36*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - (10\/2 - 19) - 4. Let k be 12\/(-10)*(-5)\/2. Suppose -4*h + 10 = -2*v, -4*h = -a*h - k*v + 20. Sort -1, 4, h in ascending order.\nAnswer: -1, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -12. Let z = -592 - -590. Sort -1\/9, o, -6, z in ascending order.\nAnswer: -6, z, -1\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.014 - -0.081. Let y = -0.071 + d. Let k = y - -0.976. Which is the closest to k? (a) 1 (b) 13\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.6 + -3.6. Let z = o - 13.55. Let l = -0.397 + z. What is l rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 != 117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + y - 4*y - 3 = 0, 4*j + y = 16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 14702?\nAnswer: -14700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64580897 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1333)\/(-4 - 284\/(-72)). Suppose 0*a + 3*o = -5*a + d, 4*a - 5*o - 19210 = 0. What is a rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2. Let r be 4\/(-6) + 29\/3. Let q = r - 12. Let x be (2\/(-8))\/(q\/24). Calculate j(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 2 = -25*a. Sort 5, a, 0, -15.\nAnswer: -15, a, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -28. Let t = 31 + r. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 7*x + 6. Suppose 152 = 6*j - 2*j. Suppose 3*g + 4*d = 8*d + j, -1 = 4*g + 5*d. What is the tens digit of t(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9760)\/(-732))\/(5\/(-15)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7681349 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/5)\/4*5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, m: 5, f: 2, o: 8}. Give prob of sequence mvf.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1201846566038243 - -1201846654268237.0000009. Let s = 88229948 - y. Let h = 46 + s. Round h to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 + 70 = 4*s - 4*o, -2*s + 78 = -4*o. Suppose -s*g = -39*g - 8. Solve g = i - 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 1. Let k be g(-5). Suppose k*f - 8 = 12. Suppose -1 + 2 = -2*y + f*j, 4*j + 6 = 5*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.0729 (c) -20 (d) -5 (e) -0.2 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1114529 - 2149069. What is q rounded to the nearest ten thousand?\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 220129325726?\nAnswer: 220129325728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((0 - -1) + 12 + -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538256.\nAnswer: 2, 33641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/18816 and 59\/1453095?\nAnswer: 185996160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4 = s, 4*h + 4 = 4*s - 3*s. Suppose z - 29 + 8 = s. Solve 24 = -r - 5*l, -4*l = 4*r + l + z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56947\/4 + 14093. Let d = 143 + m. Put -2, -4, d in increasing order.\nAnswer: -4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c**3 + 5*c**2 + 5*c - 5. Let z(f) = 24 + 14*f - 12*f**3 - 17*f**3 - 38*f - 16*f**3 + 5*f**3 - 24*f**2. Calculate -24*i(t) - 5*z(t).\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505 is divided by 265.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 9*m. Suppose g + 4*c + 5 = m, 4*g = -2*c + 32 + 4. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3123133 (base 4) to base 12\nAnswer: -8167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -469815 (base 11) to base 8\nAnswer: -2657065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 5. Let j be s(9). Let o be -4 + j\/(-3)*-3. Suppose o = -2*w - 9 + 1, 4*w + 37 = 3*p. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**3\/2 + r. What is the units digit of v(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 1:29 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 69*k**2 - 3*k + 1. Let g = -121 - -122. Let d be z(g). Which is bigger: 68 or d?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111011111110110 (base 2) in base 8?\nAnswer: 573766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + 0. Let j = 8 - t. Let w = -7 - j. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/7 + 744*c\/7 - 138384\/7 = 0 for c.\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014c2 (base 14) in base 11?\nAnswer: -33a943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5\/179 (b) -2 (c) 0.104 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 12*j**3 + 9*j**2 - 9*j + 9. Suppose -5*i + 4 - 14 = 0. Let y(f) = -3*f**3 - 2*f**2 + 2*f - 2. Calculate i*x(r) - 9*y(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16881632 divided by -2.\nAnswer: 8440816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/4 - (-1)\/(-4). Let o be 1290\/(-18)*j\/(-10)*-11784. Let t = o - 381096. What is t rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3667517 is divided by 333404?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a century?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4900.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28788859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000171 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 786.7458 kilometers?\nAnswer: 786745800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 4*s + 2*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 233799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 2*s - 1 = 0, -60 = -y + 2*s - 63 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 877\/89 (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 38\/(-285)*11*-5 - 7. Let -8\/3 - s*h**2 + 3*h = 0. Calculate h.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36436\/27 - -1350. Let s = 29\/27 - b. What is the common denominator of -31\/6 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9\/2 + -41\/10. Suppose -l = -2 - 1. What is the second smallest value in 1\/8, v, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143938071 and 28428?\nAnswer: 7107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 232 (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11379?\nAnswer: 3, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 - 25051*w\/4.\nAnswer: -w*(w + 25051)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j**2 - 81*j + 36. Let p be t(13). Which is smaller: 156 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*f**4 + 0 + 23*f**4 - 2*f**3 + 0 - f**2 to p*f + d + z*f**3 + g*f**2 + h*f**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-3)\/h*h*(h*h**(2\/13)\/h*h)\/h*(h*(h**(-1\/31)*h*h)\/h)**(-16) assuming h is positive.\nAnswer: h**(-13432\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/((-9)\/135)*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5 - 416*p**4\/3 + 10036*p**3 - 159568*p**2\/3 + 63950*p + 27600 = 0 for p.\nAnswer: -115, -1\/3, 3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57 by 27.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 16*x**2 - 21*x + 17. Let g = -12 + -3. What is the hundreds digit of l(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/21*(-2 - -1)*-6. Let z be ((-3)\/(-9))\/(n\/(-24)). Let q = -1\/268 + 569\/8844. Which is the second biggest value? (a) z (b) -1\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 5 + sqrt(75) + sqrt(75))*1 + 1*(sqrt(75) + ((sqrt(75) - (sqrt(75) - (-5 + sqrt(75)*-2))) + sqrt(75) - sqrt(75))) + -3)**2 + -3.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 7. What are the prime factors of 30\/((-2)\/(-1 + w))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 40\/12 - 1\/3. Is 28 a factor of ((-1)\/i)\/(1\/(-195))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1831680 and -121\/1221120.\nAnswer: 3663360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 611 - 108 - 21*x**3 - 23*x**3 + 64*x**3 - 22*x**3 - 4*x**2 as p*x + d*x**2 + m*x**3 + f and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -4*z - 14. Let t(r) = -20*r**3 + 2*r**3 + 3 + r**3 + 3*r - 1. Let g be t(-2). Calculate the highest common divisor of z and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 139\nAnswer: -973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 9*q**2 + 7*q + 4. Let g be p(-6). Let v be (-6)\/3*(-10)\/4. Let u be (6\/v)\/(3\/70). Calculate the greatest common divisor of g and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2 - 8*a - 5. Let m be b(4). Calculate the remainder when (-6)\/m - (3428\/(-36) + 1) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 62220 - -5058?\nAnswer: 67278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -406, 13, -9889 in increasing order.\nAnswer: -9889, -406, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260271 is divided by 3610?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**4\/4 - 4*y**3\/3 + 3*y**2 - 4*y + 17. Let r be q(-5). Suppose 3*x = -x - 40. Do r and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 0.04469.\nAnswer: -0.0026814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + -2 - -12)*1046. Suppose -8*s + 0*s + t = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 7:44 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 8*u + 2. Let z be c(-8). Let n = -10 + 17. Suppose n*o - z*o = 70. Calculate the remainder when 26 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20152 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -180 and -0.0891.\nAnswer: 16.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/(-6))\/(6\/9). Suppose -10*t + 25 = -f*t. What is the greatest common divisor of 20 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 13 + 4. Let b = m + 8. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15801179 is divided by 426.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3935219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 196789901 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -279, -668, -1245, -2028, -3035, -4284, -5793?\nAnswer: -7580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1094*d**2 + 1280*d + 1288*d - 2568*d.\nAnswer: -1094*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -8*z**3 - 10*z**2 - 5*z - 6. Give d(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1071896894?\nAnswer: 2, 19, 3853, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 bigger than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 6.6. Suppose 5*x = 3*j + 2, j + 0*x - 3*x - 2 = 0. Which is the smallest value? (a) 0.3 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.7 (b) -156\/19 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeleleeleelellelell. Give prob of picking 3 e and 1 l.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3529\/4921 - -2\/703. Let d = -12.3 - -12.6. Which is the nearest to 0? (a) -6\/7 (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2*z**2 - 5*z**2 - 3.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9496 - -9656. Calculate the highest common divisor of g and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -27. Let r = 26 - -10. What is the derivative of -o**q + 58 - 37 - r wrt o?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 19260.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 324592*t**4 - 367726?\nAnswer: 1298368*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.11, 12, -11\/9, -1\/6?\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 25839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 220 - 262. Let k = 292\/7 + z. Let v = -2 - 0. Which is the nearest to 0.1? (a) -5 (b) v (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -482*g**2. Let r(n) = 4*n**2. Calculate x(r(b)).\nAnswer: -7712*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102210 (base 3) in base 15?\nAnswer: -7d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 6 = 2*g. Calculate the remainder when 34 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of y**2*z - 10*y*z**2 - 8*y*z + 878*y - 3*z**2 + 29998*z + 1 wrt y.\nAnswer: 2*y*z - 10*z**2 - 8*z + 878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-126)*8\/10.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.54 - -2.54. Which is bigger: x or 32\/11?\nAnswer: 32\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*u**2 + u**2 + 0*u - 27*u**3 + 0*u wrt u.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -2, -4\/7, 342, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329126 is divided by 329121.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1750*a**2*p**3 - 60*a**2 + a*b**3*p**3 - 12123*a*b**3 - a*b**2*p**2 + 16*p**3 wrt p.\nAnswer: 10500*a**2 + 6*a*b**3 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*y - 8463548 = 0, 4231758 = -2*g - y - 4*y. Let q = g - -783134. Let k = q + 1892755. What is k rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 24. Suppose 3*a - 122 = -2*x - p*x, x + 137 = 3*a. What is the remainder when a is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (3 - (14 - 7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**6\/300 - 32*m**5\/75 + 336*m**2. Factor d(t).\nAnswer: 2*t**2*(t - 64)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6381694 divided by -107\nAnswer: 59642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22202122 (base 4) in base 11?\nAnswer: 2a479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 235143 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 11*i**2 - 6*i + 6. Let h be c(10). Suppose 0 = m + 10 - h. Let o = 62 - m. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000015296 to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8851 and 2338.\nAnswer: 123914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13771577?\nAnswer: 13771577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 7:19 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (11289\/212 + -27 + -1 + -1)*4?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/1072099 or 0?\nAnswer: -12\/1072099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000526567988 rounded to seven dps?\nAnswer: -0.0005266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53 and 477.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 94*v**2 + 766*v - 33. What is r(85)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -597 - -258. Let z = -338.6 - n. Which is the nearest to z? (a) -0.5 (b) 0.4 (c) 3\/4 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.069068849 to four decimal places.\nAnswer: 0.0691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2. Let y(w) = -w - 2. Let x(a) = -7*o(a) - 6*y(a). Let r(p) = -p. Calculate 4*r(i) + x(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (72\/468 - (-34)\/(-52))*0. Which is the closest to t? (a) -1\/4 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 247414977, 247414978, 247414979, 247414980?\n\"Answer: y + 247414976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -51814, -51807, -51800, -51793, -51786?\n\"Answer: 7*v - 51821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, 5, 2.\nAnswer: 2, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*g - 4*o = -49*g - 16, -3*g = -10*o + 27 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z + 29. Let o be n(-8). Suppose -3*t - 5*d + 18 = t, o*d = 10. Sort -2, 4, -0.2, t in increasing order.\nAnswer: -2, -0.2, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*i = 12. Let k = i + 8. Let g = -159705 - -159702. Which is the closest to -1? (a) k (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.1? (a) 2\/7 (b) 1 (c) 0.1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyq when three letters picked without replacement from {y: 2, q: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {c: 3, n: 5}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 16*k**2 + 13*k - 19. Is g(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -487*w**2 + 434407*w - 2689. Give u(892).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*(sqrt(192)*-2 - sqrt(192)))**2 + 1*sqrt(24)\/sqrt(72) + 2.\nAnswer: sqrt(3)\/3 + 1734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5319, -20687, -46279, -82101, -128159, -184459, -251007?\n\"Answer: -u**3 - 5106*u**2 - 43*u - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 12 = -4*r, -4*d = -r + 11 + 1. Solve r = -5*h - 16 + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 + 33. Calculate the remainder when o is divided by (26\/(-6) - -3)*-33.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45\/21 + -16 + 19. Factor -16\/7 - 32\/7*v + 12\/7*v**2 + i*v**3.\nAnswer: 4*(v - 1)*(3*v + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*t + 10 = n, -2*t - 2 = 0. Let q(b) = b**2 - 3*b + 7. What are the prime factors of q(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 790948, 790630, 790312, 789994, 789676?\n\"Answer: -318*y + 791266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70073, 280237, 630497, 1120853?\nAnswer: 1751305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -42892, 3, -1, 2.\nAnswer: -42892, -6, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a - 2. Let n(r) = 5*r - 3. Let u(p) = -2*n(p) + 3*z(p). Suppose 0*q + 45 = 3*q. Let j(w) = -12*w + q*w - 11*w. What is j(u(c))?\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14700707 (base 8) to base 10\nAnswer: -3375559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 + l**5 - l**5 + (12*l + 0 + 0 + 2)*(l**3 + 3*l**4 - l**3).\nAnswer: 34*l**5 + 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 1:31 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 136231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61667\/3 + -20555. Factor 1\/6*n**2 + 5\/6*n + j.\nAnswer: (n + 1)*(n + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/7 + 139366*z**2\/7 + 2429462160*z\/7 + 55803929400\/7.\nAnswer: 2*(z + 23)*(z + 34830)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 14*x**2 - 15*x - 2. Let k be n(15). Let a be (-40)\/(-18) + 14\/(-63). Sort k, -3, 5, a in decreasing order.\nAnswer: 5, a, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 10, d: 4}. What is prob of picking 3 i?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 2:17 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = h + 9, 0*h - 15 = -5*t + 5*h. Suppose p - f + 36 = 0, 104*p - 100*p + 138 = 5*f. Sort 3, t, p in descending order.\nAnswer: 3, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 43307.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 260725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -11\/17, -1\/3, 0.4?\nAnswer: -11\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.3818 rounded to two decimal places?\nAnswer: 10.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/44*12\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {u: 4, v: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 9 (b) -2\/17 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**6\/180 - 331*f**5\/30 + 109561*f**4\/12 - 36264691*f**3\/9 + 726*f**2. Factor p(o).\nAnswer: 2*(o - 331)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 2*z + 13. Let y be (-2)\/z*2227*-1. Let g = y - -181. Find the common denominator of 85\/2 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51801290 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxxx. Give prob of sequence xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3*u**2 + 75*g**3*u + 1506*g*u**2 + 107*g*u + 2*u**2 - u wrt u.\nAnswer: 2*g**3 + 3012*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -2*m - 2, -4*m + 0 = -16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*h*l*v - c*l**3*v**3 + 2*c*l**3*v**2 - 2*c + 2*h*l*v - 4*h*v**2 - 4*h + 2*l**3 wrt v.\nAnswer: -6*c*l**3*v + 4*c*l**3 - 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from {h: 3, x: 1, p: 3, w: 1, k: 1, u: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105873, 210550, 315227, 419904?\nAnswer: 524581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2 + 2*p + 0 - 7. Let l be q(9). Solve -l = c - 3*k, 3*c - k + 6 = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128147249?\nAnswer: 3947, 32467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 4*r**2 - r**2)*(0*r**2 + 0*r**2 + 2*r**2) + 2*r + 47*r**4 - 12*r**4 - 12*r**4 - 5.\nAnswer: 11*r**4 + 2*r - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 995 + 71?\nAnswer: a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.3 + 18.1. Let k = -5 + 4.9. What is the second biggest value in -4, -1\/3, k, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4280\/1926)\/((-6)\/27)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 548332 + -548383.0063. Let c = 55.3 + -4.3. Let m = a + c. What is m rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.33 and -13.94.\nAnswer: -18.5402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**5\/20 + 708*j**2. Let c(k) = 285*k**2 + 1. Give h(c(t)).\nAnswer: -243675*t**4 - 1710*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h + 1. Suppose 2*u = 62 + 10. Let m = -220 + 221. Let z(f) = -99*f + m + 31*f + 35*f + u*f. Calculate 5*v(j) - 6*z(j).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/2604 and -99\/27701786.\nAnswer: 166210716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:47 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a + 3. Let w(l) = -l - 1. Let x(i) = -g(i) + 4*w(i). Suppose 0 = 4*r + k - 29 + 7, 5*r + k = 28. Let b(c) = -1. Calculate r*b(y) - x(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1033 (base 4) to base 8.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 77*j + 67 = -80*j, -6*j - 29 = -c. Suppose 4*t - 12 = -0*t. Suppose t*s - 38 = -4*q + 31, 2*q - c = -s. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 23*z + 101. Let b be h(-5). Find the common denominator of 5 + b\/35*36 and -14\/29.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtzxvzvtvvtxxvxnvxxv. Give prob of sequence nv.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 24*c. Let l(g) be the first derivative of -173*g**3\/3 + 4949. Calculate l(k(z)).\nAnswer: -99648*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s + 3. Let x(m) = m**3 - 3*m + 2. Give 2*b(w) - 3*x(w).\nAnswer: -3*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9295438709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25.6 - 25.6000221. Round j to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -227 + 233. Solve 4 - c = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-8)*4\/12.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 + 22*o - 20. Let l be c(10). Let a = 11 + -7. Let t be 16\/10 + a\/10. Solve l = 2*u + 8 - t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 4 - 4. Let s(i) be the first derivative of -i**2\/2 + 9. Determine u(s(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 2*s - 4*s - 2*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 10 + 1 + 2*c**2 + c + 13*c**4 to n + a*c**2 + l*c + k*c**4 + s*c**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -6*h + 91. Suppose -4*m - h = -22. Which is the closest to 3\/4? (a) -4 (b) 1\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0*a - 2*m - 450, -4*a - 2*m = -438. Let u = -25 + a. Let x = u + 105. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2058 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 15*z**2 + 5\/2*z**4 - 35\/2*z**3 + 0*z.\nAnswer: 5*z**2*(z - 6)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*b = -23*b + 98. Let q be b - (-40)\/(-3 + (-30)\/(-6)). Find x such that 6*x - 3\/2*x**3 + 9\/2*x**2 - q = 0.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 31*p**2 + 6*p + 65. Give q(31).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t - 26*t**2 + 6 - 21*t**2 - 5*t - 24*t**2 + 72*t**2. Let q = 20 + -13. Give s(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1933*i = -6613 - 32047 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 5, 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giiiggii. Give prob of picking 2 g.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 93, 0.3, -5 in decreasing order.\nAnswer: 93, 0.3, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4767291*m**2 - 8355185*m.\nAnswer: -9534582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21144660 divided by -6?\nAnswer: 3524110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**2 - 4*y**2 - 3*y**2)*(2 + 2 - 5)*(y + 0*y + y)*(-47 - 50 - 70).\nAnswer: -334*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 4*t - 3 - 49 = 0, -9 + 3 = -3*t for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, -6, -34, -2\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -54*b + 8115. Give v(150).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -68. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0613 + -2.83\nAnswer: -2.7687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 9. Let h = -4 - r. Suppose w - 680 = 5*f - 650, 3*w - 24 = 4*f. Which is the second smallest value? (a) -1\/2 (b) h (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/(x\/((x\/((x\/x**(-2\/5))\/x))\/x))*x*x))**(-17\/5)*x\/(x\/((x\/((x*x*x\/x**(-16\/7)*x)\/x))\/x))*x**(-1) assuming x is positive.\nAnswer: x**(-148\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 146.36.\nAnswer: 151.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 67 + -54 + 42?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 225*t + 20. Let d be a(-5). Let c be 2\/(-17) + 5616\/d. Suppose -2*r - 4 = 6. Which is bigger: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*k - 5*d = -78*k + 39*k + 32, -9*d - 82 = -5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(1 + 1 - (2 + 79)). Let v be 13\/((-52)\/24) + r. What is the greatest common divisor of v and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-8)*12\/(-15)*1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 114\/4*((-48)\/(-18) + -2). Solve -5*w = -4*f + l + 8, f + 2*w = -3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 1\/77, 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (42\/4 - -2)*(-21 + 1089\/55). Let c = -88 + 77. Is l less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 + 85. What is the highest common divisor of 208 and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-240)\/32*(-24)\/(-10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 + 8. Let s(y) = 2*y**2 + 5. Let n(k) = -5*c(k) + 8*s(k). Let x(j) = -5*j. Let o(u) = 11*u. Let i(f) = 2*o(f) + 5*x(f). Give n(i(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - -11)*9\/81. Let c = 17 - 3. Let g = c + -22. What is the third smallest value in 3, g, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**5\/4 - 59*i**4\/2 - 605*i**3\/4 + 1861*i**2 - 1680*i = 0.\nAnswer: -112, -12, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 132?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002173 to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/3)\/f)**(-1\/3)\/(f**3*f*f**0))**(-37) assuming f is positive.\nAnswer: f**(1258\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 3, 79, -8.\nAnswer: -8, 3, 47, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2)*2)\/(6\/(-42))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*c - 41*c = 235538. Calculate the highest common divisor of 62 and c.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204 and 84.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118816120 = 191*w + 12417660. Round w to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5692.423 decades to years.\nAnswer: 56924.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2495509191 rounded to five decimal places?\nAnswer: -0.24955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*o. Let t(c) = -c**2 - c + 21. Calculate the remainder when t(o) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182755145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 16. Let u = 0.59 - 0.19. What is the closest to y in 1\/6, u, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.9 (b) 97.2 (c) -0.4 (d) 5075\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*r - 82*r - 25*r in the form o*r + h and give o.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 41 (b) -2\/41 (c) -3\/7 (d) 1 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/9)\/4*3. Let v be 3\/(-10) + z\/5. What is the closest to v in 0.3, 5, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 + 281\/4. Let k(w) = w**3 - 9*w**2 + 6*w + 19. Let v be k(8). Suppose -2*l - v*l = -25. Which is the nearest to n? (a) l (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k**2 + 2*k + 10. Let o be v(-5). Suppose -7*y = -2*y - o. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/4)*b**(-1)*(b**(-2))**(-11) assuming b is positive.\nAnswer: b**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - s + 17, -5*t = 2*s + 11560 - 11549 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15741*p**2 - 16528*p**2 + 32267*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 240, 368, 482, 576, 644, 680?\n\"Answer: -c**3 - c**2 + 138*c + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1. Let k(a) = 21*a**2 - 1. Let j(d) = -3*f(d) + k(d). What is the derivative of j(s) wrt s?\nAnswer: 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.887 - -0.887. Which is the nearest to 0? (a) -0.2 (b) h (c) 77 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (17 - 1) + -3 + 2. Let o be (1 - 0) + -9*1. Let g = o + u. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22855 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*q + 1634 - 250 + 422 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (44 - -7 - 37) + -28 + 0 + -2\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - 42) + (1 - -3) + (-11 - -11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*t + 188*t + 197*t - 55*t.\nAnswer: 576*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 - 0.26.\nAnswer: -106.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - (0 - 1)) + -1 + 78 + (63 - 126)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.07 (b) -0.1 (c) 8 (d) 227 (e) 32 (f) 1\/5 (g) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 68894413 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2\/5, 1\/5, 15.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20128 and 1088.\nAnswer: 40256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x - 8 = 0. Suppose x*f - 5*f + 39 = 0. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1196077949?\nAnswer: 11, 19, 47, 121763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 15 = -6*v - 60, 56*x + 24 = 55*x - 5*v for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37.1 - 38.3196. Round m to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -42*v. Let u(r) = 4*r. Calculate u(w(t)).\nAnswer: -168*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/7 - 3408*l + 238260\/7.\nAnswer: 3*(l - 7942)*(l - 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*((sqrt(2)*1 + sqrt(2) - sqrt(2)) + 3) + 1.\nAnswer: 5*sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1377))*2 + 1*sqrt(204)\/sqrt(432))**2.\nAnswer: -218*sqrt(17)\/3 + 202121\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(7) - (sqrt(84)*2)\/sqrt(12)) + sqrt(252)*2 + -3*((sqrt(252))**2 - sqrt(7) - (sqrt(7) + sqrt(7) + sqrt(21)\/(sqrt(3) - (sqrt(3) + sqrt(3)*2))))).\nAnswer: -1512 + 37*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 10*m**2 - 16*m + 3. Let l be r(12). Calculate the greatest common factor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68834 is divided by 5723?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -199 (c) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*n + r + 24, 0 = 4*n + 2*r - 76. Suppose -2*o - 3*m = 2*o - 44, 2*o = 3*m + 22. Suppose o = -17*x + n*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-45))\/((-2338)\/(-6012))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 8*x + 1. What is k(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14768, -14764, -14758, -14750?\nAnswer: -14740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 16. Let g be 6\/(-21) - (-7747)\/d. Calculate the remainder when 74 is divided by 2\/5 + g\/(-45).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, i: 1, t: 1}. What is prob of picking 1 t and 3 k?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*c + 209*c - 8016 = 28836 for c.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 77, 5, 1\/2, 2.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/(4\/(-8)). Let u be (-2 - s)*4\/6. Let k = 8 + u. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**5 + 276*o**4 + 1983*o**3 - 2826*o**2 - 4536*o = 0.\nAnswer: -84, -9, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*p**3 + 99 - p**2 - 98 - 9*p**3 in the form k + o*p**3 + h*p + t*p**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Convert 152.089 days to microseconds.\nAnswer: 13140489600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4092755689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 23 = 5*h, 10*a + 15 = 7*a - h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*i = -741, -5*v + 0*i - 890 = i. Let d = v + 1613\/9. Which is the nearest to -0.3? (a) d (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*c, d = -c - 5 + 1. Suppose 0*v - v + 5 = d, 0 = -3*h + 5*v - 10. Suppose -h*a + 2915 = -510. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(192) + (sqrt(192) + sqrt(192) + 0 + sqrt(192))*2 + sqrt(192) - sqrt(192) - (sqrt(192) - sqrt(192)*1 - sqrt(192))*-2) + 0))**2.\nAnswer: 120000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i + 117. What is q(23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-15)*(-3 + (-114)\/(-3)). Suppose -3*u = -12, u - 201 = -5*c - 3*u. Let w = c + l. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l - 32. Let d be z(6). Let t be 1\/(-12) + 19575\/1620. Sort t, -3, 1, d in decreasing order.\nAnswer: t, 1, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 16*m**2 + 5*m - 50. Let c be v(16). Solve 5*u + 5 - c = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.3, -29038.\nAnswer: -29038, -0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvpmpzzn. Give prob of sequence vpz.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 6*g + 14. What is n(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15849140 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 + -96. Which is bigger: -6 or g?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 + z**2 + 18*z + 2. Let p(s) = -10*s**3 + 6*s**2 + 90*s + 11. Calculate 11*l(b) - 2*p(b).\nAnswer: -2*b**3 - b**2 + 18*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 6979588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13826 + 37208 = 14*u - 35390. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 201299 + -120480. List the prime factors of c.\nAnswer: 80819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k + 66. Let y(q) = 20*q - 253. Let x(f) = -23*m(f) - 6*y(f). Let s(z) = -2*z - 6 - 6 + 12. Give x(s(p)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + (sqrt(128) - (4 + (0 + sqrt(128) - sqrt(128)))) + sqrt(128) + -2)**2 - (sqrt(2) + 0 + 0 + sqrt(32))**2.\nAnswer: -288*sqrt(2) + 1138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*w + 40 = 0, -3*w = 4*d + w - 112. Suppose h + 2*s - d = 0, 5*h + 2*s - 107 = s. Let m = -13 + 53. What is the remainder when m is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15071 = 195930\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m - 89 = -368 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -7. Calculate the remainder when 9\/(-15) + 63\/5 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 1 + (-1 + 2 - 3)*(3 - 3 + 4) + 0 + 1 + 1)*(4*f + 0*f - 3*f) to the form z*f + t and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s = -40. Let t(p) = 3*p + 3. Is 9 a factor of t(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51094703021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 65.128\nAnswer: -390.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 38\/9*f - 2\/9*f**2 - 176\/9 = 0.\nAnswer: 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 54 + 5 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - -1. Calculate the smallest common multiple of p and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 178 + -114 + 9 + -41?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 5 = -3*c. Suppose -4*j - 10 = -2*m - c*j, -2*j - 10 = -2*m. Suppose 4*f - m*d + 2 = 9, -1 = -d. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, -1\/23, -21 in ascending order.\nAnswer: -21, -1\/23, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*h**4 + 2*h*y + 585*y wrt h?\nAnswer: -148*h**3 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3\/8))\/(q\/q**(-5)) assuming q is positive.\nAnswer: q**(-43\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -28*v**2 - 2*v - 1. Let h be a(-1). Let t be 6\/h + (-14)\/18. What are the prime factors of -3*t*(-12)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -257 divided by -1?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09104 > -3228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16598 + -7122. Suppose -3*f + 3*s - 2*s = -p, -s + 15804 = 5*f. Suppose -5*b + y + f = 0, -y = -3*b + y + 1903. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 893 divide 8398242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 264 (b) 0 (c) -2\/2079 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h. Let u(x) = -x**2 - 13*x - 10. Let m be u(-12). Let y(j) = -5*j**2 + 5*j**2 - j**m. What is w(y(i))?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16457670, 16457662, 16457650, 16457634?\n\"Answer: -2*s**2 - 2*s + 16457674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 17 - -21 - 9 - (-3 - -19)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5 + 432\/30. Let b(u) = 0*u + u + 5 - 19. Let p be b(q). Solve -2*w + 4*s + 2 = p, w + 2*s + 4 + 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171 - -246. Let s be (2 - -2) + n + -1. Let o = 119 - s. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ir when two letters picked without replacement from {z: 1, r: 3, i: 1, g: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4312*a + 4266*a. Let v(c) be the third derivative of 0*c - 1\/2*c**3 + a + 1\/15*c**5 + 1\/120*c**6 - 5\/24*c**4 - 36*c**2. Calculate v(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*r - 1632684 - 4424332 = -186*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/8)\/(2\/(-152)). Let l = b - -426. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21490, 42914, 64182, 85216, 105938, 126270, 146134?\nAnswer: 165452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-6) - 6\/(-4). Suppose 5*q = -y*q. Suppose -2*o - 2*v = -0*v - 6202, q = -3*o + 3*v + 9297. Round o to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 124 and -49785?\nAnswer: -6173340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -191988 times -31\nAnswer: 5951628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3021 (base 6) in base 15?\nAnswer: 2e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, g: 2, v: 1, l: 1}. What is prob of sequence vvuv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 5. Let k = h - -2. Let q be 32\/(-72)*(-18)\/8. Solve k = -3*g - q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 0*i = 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-9) + (-2)\/(-6). Find the third derivative of 4*v**3 + v**2 + 0*v**i - 5*v**5 - 4*v**3 wrt v.\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**3\/4 - 147*c**2\/4 = 0?\nAnswer: 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 661314 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 39*d - 42*d. Solve 7*q - 4 = d*q - a, -5*a = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31357 is divided by 140?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l. Let q = 5 + 0. Let i(g) = -3*g - 4*g + q*g + g. Give i(y(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6816)\/(-1420))\/(1476\/45)?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*t + 9, 46 = 5*y + 5*t - 3*t. Suppose 4 = 4*w - y. Let q(c) = -c**2 + 2*c. Calculate q(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2472.454 millilitres in litres?\nAnswer: 2.472454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84183843 by -3.\nAnswer: -28061281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - (29 + (19 - ((141 - -14) + -27))).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21 (b) -0.8 (c) 1 (d) -2\/13 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 4*a = -4*f - 24, -4*a - 5*f - 31 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128 - 66. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 342930\/21390 - 48\/3?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -96*v**2 + 12. Let i be a(5). Let s = -131302\/55 - i. Let x = s - 3\/5. What is the second smallest value in 2\/3, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**4 + 1390*l**3 + 100640*l**2 + 554880*l = 0 for l.\nAnswer: -136, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4 - 5)*(4*n**2 + n**2 - n**2).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2807805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 114981, 229968, 344955, 459942, 574929?\n\"Answer: 114987*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 8*x - 21. Let f be m(11). Which is the second biggest value? (a) -4 (b) f (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/152479 and -32\/41?\nAnswer: 152479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121602*l**4 + 3*l - 103195 wrt l?\nAnswer: 1459224*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2233295.\nAnswer: 5, 127, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 + -67. Suppose -2*o + 8339 = -t*p, p + 2802 = o - 1370. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**6\/120 - n**5\/12 + n**3\/2 + n**2. Let z(w) = 10*w - 21. Let d be z(-5). Let i = -66 - d. Determine a(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21123402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 12*v + 36 = -a, 3*v = 4*a - 36. Sort -2, 5, v, -3 in ascending order.\nAnswer: v, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -151*u - 737. Let o be d(-6). Let w(f) = 2*f**3 + 5*f**2 + 3*f + 3. Let c be w(-3). Let l = o - c. Round l to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 * 5631\nAnswer: 9572.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1029*t**2 + 2053*t**2 - 1025*t**2.\nAnswer: -t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -174 - -209. Suppose s*o - 31*o + 140 = 0. Which is greater: -33 or o?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l + 16 = 3*y, -5*y + l = -22. Suppose -y*c = -83 - 25. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n - n - 5*n - 19 + 0*n + 2*n + 24 - n + 0*n + 2*n + 3*n - 1 + 1 + (-2 + 1 + 2)*(0 + n + 0).\nAnswer: -4*n + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 15, 12, 5, -6, -21?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 2*k - k)*(k**4 + 2*k**4 + 0*k**4) + 5*k**5 + k**5 - 4*k**5 - 3*k**5 + 12*k**5 + 6*k**5 + k**5 + 2*k**5 - 2*k**5.\nAnswer: 21*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**4*h + 3*c**2*g*h**3 - 4*c**2*h**3 - c*g*h + g*h**3 + 23*g*h wrt c.\nAnswer: 36*c**2*h + 6*g*h**3 - 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-3))\/(-1))\/(200\/75).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*c**2*k**2 + 23*a**3*c*x - 6*a**3*k**2 + 4*a**2*c**2*k**2*x + 7*c**2*k**2 wrt x.\nAnswer: 23*a**3*c + 4*a**2*c**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22223, 22221, 22209, 22181, 22131, 22053, 21941?\nAnswer: 21789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28.6 + 29. What is the smallest value in 8, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -577*o**3 + 151*o**3 - 321*o**3 + 67*o**3.\nAnswer: -680*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 16*t**2 - 103*t + 317. Give n(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -0.2, 1927?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2409\/219*(-2)\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + d**2 + 0*d**2)*(10 - 8 + 10)*(-2 + 2 + 5).\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b*l**3 + 11377872*b*l**2 - 1237*l**3 - 17792*l**2 - 4 wrt b?\nAnswer: 3*l**3 + 11377872*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 8*f**2. Let v(t) = 3*t + 4. Determine v(x(j)).\nAnswer: 24*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -2351069, 17, 2 in decreasing order.\nAnswer: 17, 3, 2, -4, -2351069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from xxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167541?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135234 and 396?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g - 35*g = -18848. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3, 7, 3.1, 1216, 1\/6 in descending order.\nAnswer: 1216, 7, 3.1, 3, 0.3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 99768 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 6*x**2 - 11*x - 5. Let h be c(-7). Suppose h*w - 8*w = 75. Let j = 18 + -16. Solve 2*a + 2*t + 0*t = 0, -j*a + w*t - 28 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -102474094400.\nAnswer: -102474094397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -5. Suppose -3*g + x = -8. Let z = 12 + -6. Calculate the highest common factor of g and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (-13 - 12) - -17?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*b = 2*v - 11, 4 = v + 2*b. Solve 0 = 5*m + 2*n + 24, v*m + 2 = 2*n - 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -387.4 + 387. Which is the closest to -1? (a) -0.2 (b) 2\/49 (c) 4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 l when three letters picked without replacement from vlllllv.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1179\/4 + -294. What is the closest to -15 in -0.2, p, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286517960 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 ((-44)\/165)\/((-3)\/((-9)\/6))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1724 and 12.\nAnswer: 5172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 30. Calculate the remainder when 1*19*20\/f is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*x + 1 = -5*s - 205, 3*x - 6 = -44*s + 44*s - 0*x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 10*a - 11. Let o be 3\/(-7) - 1825\/(-175). Let k be (-45)\/o*(-12)\/9. What is the tens digit of l(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 7683476*n**2 + 7379483113792*n - 14758935493696.\nAnswer: 2*(n - 1920868)**2*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 25*f**2 + 34*f - 152. Suppose 0 = 27*m - 162 + 27. What is the hundreds digit of d(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/3)\/((-3)\/(-45)). Sort -1\/4, r, 4 in descending order.\nAnswer: r, 4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1, -3, -6, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -14*m - 288. Give l(-25).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97 - 96. Solve -p = -2*u + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 52?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 2*w + 10. Let m = 1.533 - 1.633. Suppose -4 = 3*n + 5, -n = 4*p + 67. Sort w, p, m.\nAnswer: p, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 24 = -8. Solve -28 = -a*z - 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 71*z**2 - 3*z + 1. Suppose 1 + 1 = 2*h. What is the remainder when r(h) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5323202*p**3 + 315*p**2 + 7570*p wrt p?\nAnswer: -31939212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1428 divide 32199972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1789.017156 rounded to the nearest integer?\nAnswer: -1789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2772841101 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 12394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125 and 185880175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9 and -61\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**8\/28 + m**4\/3 - 5*m. Find the third derivative of p(i) wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42180.57 rounded to the nearest 1000?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 936 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u - u**3 + 24 + 0 - 20 - 3*u**2. Let h be 6*-1*2\/(-6). Suppose j = v, v = 5*j + h*v + 24. What is l(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*(r\/r**(-13))\/r)\/r*r))\/(r*r*(r\/r**(-2))\/r) assuming r is positive.\nAnswer: r**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(3\/7)\/p)**(29\/5)*(p**(-1\/6)*p)**(-33))**(-3))**(8\/7) assuming p is positive.\nAnswer: p**(25884\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 21?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 8 - 2*x**2 + 4*x**4 - 2*x**4 to i*x**4 + a*x**2 + t*x**3 + j*x + n and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -38988*i**3 - 31464*i**2 + 38625*i + 31827 = 0.\nAnswer: -103\/114, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 10*m**2 - 5*m + 4. Let k(d) = -19*d**2 + 10*d - 8. Let q(n) = 5*c(n) + 3*k(n). Let h be q(3). Let w = -34 - h. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctcccmctmtmcabmc. What is prob of sequence am?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - 5*m + 10*m)*(1 - 1 - 2)*(2*m - 2*m - 2*m) as t*m + d + y*m**2 and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/12 + 1)\/((-23)\/(-46)). Factor 0 + 2\/3*m**3 - r*m**2 - 1\/3*m**4 + 0*m.\nAnswer: -m**2*(m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 + 70. Let a = -1926\/7 - -275. Put a, w, -0.3, 5 in decreasing order.\nAnswer: 5, w, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuqqqqquqqqquq. What is prob of picking 1 u and 3 q?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 4 - (0 - 3 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107548 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-5)*(-2271)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 3:19 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100202 (base 4) to base 8.\nAnswer: 12042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + (-3)\/2)*4. Solve i*j + n = 5*j - 7, 0 = 2*j - 5*n + 17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.063853104 to four dps.\nAnswer: 0.0639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -8. Let o(r) = -r**2 + 6*r - 2. Let g be o(y). Let q = 0 - g. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 2. Calculate u(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 88*x**2 + 84*x - 7417. What is g(88)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 4. Let c be o(-3). Let s = 2 - c. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*l, 12 = -5*g + 4*l + 21. Let r be 1\/(-2) + (-3)\/(-2). Solve -2*u = -g - r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 2*g - 2723859, -2*u + 826751 = 2*g - 262795. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3 + 175232\/3*a**5 + 27340\/3*a**2 + 314*a + 47384*a**3 + 89984*a**4 = 0. Calculate a.\nAnswer: -1\/2, -3\/148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000 + -11101110000?\nAnswer: -11100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -1015591?\nAnswer: -9\/1015591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176, -168, -156, -140, -120, -96?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82 + -36 - 39) + 18 + 1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.6 - -0.4. Let j = 0.152 - -2.848. Sort -0.2, j, b in decreasing order.\nAnswer: b, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 31, -5, -2, 13, 1, 2.\nAnswer: -79, -5, -2, 1, 2, 13, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -716? (a) -69 (b) 0.36 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3771\/2 + 1886. Which is the second biggest value? (a) -1.1 (b) -0.1 (c) -0.09 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 12*b**2 - 221*b. Let n(d) = -2*d. Determine n(h(r)).\nAnswer: -24*r**2 + 442*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -5 + -2 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-357)\/252 - (-3)\/4. Suppose 0 = -4*s - 3 + 7, 2*v = 2*s. Let i = -0.3 - -0.4. Which is the closest to -2\/3? (a) v (b) i (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/5? (a) 1\/3 (b) -10.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 463 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**2. Let x = -124 + 61. Let r = x + 57. Let m(l) = -11*l**2 + 6. Let p(t) = 10*t**2 - 5. Let j(q) = r*p(q) - 5*m(q). Determine j(g(n)).\nAnswer: -80*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1546627180 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2499\/(-39627))\/((-7)\/3)?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 24*n**2 - 17*n - 37. Let x be w(-3). Calculate the highest common divisor of x and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(80))*3.\nAnswer: -9 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3\/7 + 167*q**2\/7 + 82*q\/7 - 83\/7 = 0.\nAnswer: -83, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.1, -15 in decreasing order.\nAnswer: -0.1, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16380 and 32760.\nAnswer: 32760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.151 and -73?\nAnswer: 71.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16916226?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -153 and -1.6.\nAnswer: 244.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16021032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -1412?\nAnswer: -1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.892847 and -2.\nAnswer: -1.785694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - c - 3. Let h be u(-2). Let z(o) = -o**2 - 4*o. Let d be z(h). Let f be 2\/5 - 26\/(-10). What is the nearest to f in 0.4, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (1 - 2) + 7. Suppose -h + 5*h - 4 = 0, -w*l - 5*h = -14. Solve -9 = -0*z + l*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36199517 is divided by 7147.\nAnswer: 7109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 - 5*m**4 + 10*m**4)*(22 - 31 - 23).\nAnswer: -192*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15109967581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 4*u - 2*u + 5*u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u - 31*u - 77*u + u + 3*u - 66*u.\nAnswer: -153*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1062 - 253. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -952.225 + 927. Let k = 0.225 + w. What is the second smallest value in 3\/7, -1\/4, k?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 755 - (-10 - -11). Suppose 2*d = -5*s + 333, 5*s - 2*s + b = 5*d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86052 divided by -6?\nAnswer: 14342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0229 - -29.2771. Let r = 29 - f. Let n = r + 0.1. What is the closest to -5 in -0.3, -3\/8, n?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**4 + x**3 - x**2 - x - 35.\nAnswer: -12*x**2 + 6*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d + 4. Let k(t) = -4 + 2*t + 11*t**2 + 4*t - 3*t - 10*t**2. Let j be k(-3). Is y(j) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -739*o = 131*o - 140 + 140 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((1*sqrt(108))\/sqrt(4)*3 - ((-1 + sqrt(1323))*5 + sqrt(1323) + sqrt(1323))))**2*5.\nAnswer: -13800*sqrt(3) + 286160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let v(u) be the first derivative of -11*u**2\/2 + 6*u + 18. Let i be v(1). Which is the nearest to m? (a) i (b) 0.3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**5\/60 - 15*f**2. Let i(d) = -50628*d + 50628*d - 95*d**2. Calculate m(i(u)).\nAnswer: 9025*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1838464 and 1019773.\nAnswer: 130530944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d + 2. Let s be n(0). Solve 0 = -5*o, 2*k - k - 2 = s*o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -41. Suppose -s = -3*p - 34, p + a = 4*s - 49. Calculate the remainder when s is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = q + 7, 13 = 5*j - 3*q - 3. Let b be -2 + 0 + (-16)\/(-2). Let t = 11 - b. What is the highest common factor of t and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f + 13 + 2*f**4 + f + 5 - f**2 - 5*f**3 - 23 in the form h*f**4 + k*f + i + a*f**3 + j*f**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 202*q**2 + 7556*q - 15912.\nAnswer: -(q - 234)*(q - 2)*(q + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 442594001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4420)\/(-728) + 1\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 5*u**6\/3 + 6*u**5\/5 - u**4 + 5. Factor d(n).\nAnswer: 2*n**3*(n + 1)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 2. Let s be l(3). Suppose 9 = -s*d + 34. Solve 4*c + c = -d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26695461, 53390919, 80086377, 106781835?\n\"Answer: 26695458*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-304)\/38 + 2\/1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -4.2. Let g be (-27)\/(-36) - (-58)\/(-56). Which is the third smallest value? (a) -5 (b) g (c) 1\/2 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*v - 14, 8*u - 3*v = 6*u + 4. Suppose -5*j = 2*j - 3640. Suppose u*f - 550 = -3*r, -5*f - r = -4*r - j. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 300*f + 338*f - 470*f as u*f + i and give u.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, l: 1, g: 2, p: 2, f: 1}. What is prob of picking 1 l and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 10. Let i be a(-9). Let x be (2 + 162)\/4 - i. Suppose 0 = -2*n - 2*n + 84. Calculate the highest common factor of n and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.879159 + 41502.4\nAnswer: 41500.520841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8*j + 2*m = -40, -38 = 3*j + 4*m. Let h be (-4)\/j - (-132)\/18. Solve -16 = 4*u - 3*c, -3*u + c - h = -1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*k = -65*k - 99. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/9)*z*z)\/z*z**(2\/9)\/z*z)**(-39) assuming z is positive.\nAnswer: z**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38793 and 18528?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1886, 1917, 1948, 1979, 2010?\nAnswer: 2041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 3*m. Let l(y) = 2278 + 24*y**2 - 2278 - 68*y. Give -136*h(t) - 6*l(t).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -480 divided by 32\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-168)\/(-105))\/(4\/10))\/(-8 - -28). Sort -3\/4, 20, x, 33 in increasing order.\nAnswer: -3\/4, x, 20, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 4760*d**2 + 2*d**3 + 4760*d**2)*(2*d - d + d).\nAnswer: 4*d**4 - 20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13657200 - 3?\nAnswer: 13657175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 76326.61 nanometers?\nAnswer: 0.007632661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 328 = 17*z + h, 0 = 5*z + 3*h - 831. Suppose 4*t - 2316 = -4*k + 336, -4*t - 4 = 0. Let s = k - z. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1320)\/(-126))\/10*(-1764)\/189*6\/(-8)?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**0\/j)\/j))**(-12)\/(j\/(j\/j**(-1\/3)))**(-1\/6) assuming j is positive.\nAnswer: j**(-649\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 16) in base 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1578, -6000, -13248, -23322, -36222?\n\"Answer: -1413*v**2 - 183*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 141 divided by 2\nAnswer: 141\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1 - 26 - 8 - 3 + (-3 + 2 - 1)*(4 - 2 - 4) + 5 + 1 - 4)*(-4*u**5 - u**5 + 3*u**5).\nAnswer: 64*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 876 + -2626\/3. Let j = 608 + -9725\/16. Sort 2, j, t in decreasing order.\nAnswer: 2, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.46 + -2.76. Let c = x - -2.6. What is the closest to 5 in 1\/3, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-346)\/(-3)*(-2 + (-1 - -9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 0*y**2 - 4*y - 1\/28*y**8 + 0 + 0*y**7 + 0*y**6 + 0*y**5 + 0*y**3 + 1\/6*y**4. What is the third derivative of p(u) wrt u?\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 938 = -1010. Solve -c*g = -6*g + 90 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*s = -0*i + 20, 5*i = 3*s - 12. Suppose i = 3*w - 54 - 9. Calculate the greatest common factor of 77 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 2532882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 3)*(-92*c + 32*c - 1654 + 1652) as w + s*c and give s.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*z + 3. Suppose 5*d + 4458 = -8*i + 6*i, -2*i = 8. Is (d\/20)\/((-2)\/z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3 - 6 - s**4 + 2*s**4 - 5*s**4 - s**4 + (0*s**4 - 2*s**4 + s**4)*(1 + 3 - 2) - 4*s**2 + s**4 + 4*s**2 - s**3 - 3*s**4 + s**3.\nAnswer: -9*s**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 + -72. Calculate the greatest common factor of s and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 5:46 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4102065 or 4102059?\nAnswer: 4102059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 7:28 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 2*m. Let u = m - -3. Which is the third biggest value? (a) u (b) -3\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -1, 2, 185 in descending order.\nAnswer: 185, 44, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 1594722 + 1594722.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 - 52 = -9*q. Let g be 3\/(6\/8) - (q + 9). Solve 0 = 2*j + 8 - g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 7*r**2 + 8*r + 13. Let b be u(-4). What is the second derivative of 22*t**4 - b*t**2 + 9*t - 30*t**2 - 5 + 62*t**2 wrt t?\nAnswer: 264*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3 + 21231*a**2 - 38612160*a + 3686341632 = 0. Calculate a.\nAnswer: 101, 3488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-12) - 1 - (-30)\/60.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/18 + 1\/9. Suppose -2*u = -15*m + 19*m - 10, -2*m = 3*u - 7. Put m, w, -1\/8 in descending order.\nAnswer: m, w, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -48 from 4870093061.\nAnswer: 4870093109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.1, 3\/2, 68?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -90994 and -0.2?\nAnswer: 18198.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.14, 1\/6, -0.3, -71\/5, 48\/11, -0.2, -0.5?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/38405 and -48\/8285?\nAnswer: 63637085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22841\/16 - -1426. Let r = o - -229\/80. Let w = r - 9\/5. Put -4, -0.4, w in descending order.\nAnswer: -0.4, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.08 (b) -5 (c) -44 (d) 3 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1023565*m + 1023509*m = -1960 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g**3 + 7*g**2 + 6*g. Let o(i) = -i**3 + i**2 + i. Let b(a) = -6*o(a) + r(a). Factor b(n).\nAnswer: -n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 6*k + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/22 and 33\/4930?\nAnswer: 54230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyqyyyyqqyqqy. Give prob of sequence yyyy.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -31 times -0.5\nAnswer: 15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(190))\/(sqrt(810)*1).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1008) - -1*(sqrt(28)\/sqrt(4) + sqrt(7))) + (-4*sqrt(7)*-3 - 3*sqrt(252)))**2.\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25602 + -2?\nAnswer: -25604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -3*c**5\/20 + 7*c**3\/3 - 17*c**2\/2 + 42*c. Differentiate h(w) with respect to w.\nAnswer: -9*w**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -317\/17 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6346508 divided by -453322\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 475 = 5*j, 7*a - 6*a + 5 = 0. Suppose k + k - j = 4*b, 3*k - 2*b = 142. What is the highest common divisor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/3*3 + -41. Let t = r + 30. Let u be t\/1 + (-10)\/(3 + -8). Let g(p) = -2*p + 4. Determine g(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561036.\nAnswer: 2, 3, 7, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 314895979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -645 = -10*v + 2245. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -221\/12 + 75\/4. Factor 1\/3*s**4 + o*s**2 - 2\/3*s**3 + 0 + 0*s.\nAnswer: s**2*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.377 and -0.4?\nAnswer: -0.9508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**2 + 3*k**2 - k**2 + 91*k**2 - 23*k**2 + 9*k**2 + (-4*k**2 + 3*k**2 + 2*k**2)*(1 - 1 - 1).\nAnswer: 74*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1238*p**3*v - 3*p**3 - 6213*p**2*v wrt p?\nAnswer: -7428*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n + 5*n. Let v = 56 - 58. Let m = n - v. Solve -3*f = -5*k - 40, -5*k - 10 - 25 = -m*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 201369, 201532, 201697, 201864?\n\"Answer: k**2 + 160*k + 201208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide (-8)\/(-1) - (-15 + 10 + -8 + -7461)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**4 - c**4 - c**4 + (0*c - 2*c + c)*(2780*c**2 - 2780*c**2 - 2091*c**3) to the form k*c**2 + n*c**3 + x*c + v + d*c**4 and give d.\nAnswer: 2089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**5\/20 - 2*m**2. Let x(l) = l + 1 + 3 - 4. What is x(y(n))?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2 + 15*u - 27. Let d(o) = -10*o**2 + 47*o - 87. Let r(m) = -7*b(m) + 2*d(m). Calculate r(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(180) + sqrt(180)*-3).\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1382262 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**4 + 1 + 0*z**4 + 3*z**3 - 10*z**3 + 3361*z**2 - 17*z - 3359*z**2 in the form h*z**3 + f + w*z + l*z**4 + c*z**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10)\/z**11*(z*z\/(z\/z**(3\/2)))**(-34))**(-2\/13) assuming z is positive.\nAnswer: z**(212\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28857 (base 9) to base 8.\nAnswer: 46306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 3, b: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + 24 + -33.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 36*c - 3736 = -35*c, -5*c - 2972 = -4*g. What is the greatest common factor of g and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**1)**27*(r*r**2\/r)\/r**(-5\/2) assuming r is positive.\nAnswer: r**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 + 3 - 4 + 4*s**2 + s. Let f be y(1). Suppose -4*w + 976 = 4*c, f*w - 980 = -2*w - 5*c. Round w to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 (base 2) in base 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.68, -2\/5, -5\/7, 3 in descending order.\nAnswer: 3, 0.68, 0.4, -2\/5, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 492, 484, 472, 456, 436, 412?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10644 and 464788.\nAnswer: 1394364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -46978171?\nAnswer: -46978169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -201 + 201.282. Let r = f + -0.28200181. Round r to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -2) + 5 + 0 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20624*c**3*l + 31849*l wrt c?\nAnswer: 61872*c**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 6:56 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 0.07 (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p + 1. Calculate c(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, w: 6, f: 4, q: 2, b: 3}. Give prob of sequence fv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*u + 524*u = -264 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.65 - -22.25. What is the closest to v in -0.4, -3, -1\/11, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3970, 7944, 11926, 15916, 19914?\n\"Answer: 4*n**2 + 3962*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 0*c**3 - c - 1 - c**2 - c**3 + 2*c + 3. Let n be t(0). Let m = n + 1. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4214528 - 11.7065.\nAnswer: 4214516.2935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5817\/4? (a) 0.2 (b) -0.1 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12067072 (base 8) to base 16.\nAnswer: -286e3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348164722?\nAnswer: 2, 43, 181, 22367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -306 * 0.84\nAnswer: -257.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) -0.2 (c) 0.3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + x - 11, -10 = -2*f - 2*x + 6. Suppose -4 - f = -b. Let y = 54 + b. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1 - (9 - (-3 + 4 + 4))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 963*b**3 - 4*b - 311 wrt b?\nAnswer: 2889*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -2) + 6\/(-3). Let a be 6\/j*2\/4. Suppose -11 = -o + a. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 5. Let o be s(0). Suppose -30 = 5*i + 75. Let n be (-2)\/3 - 56\/i. Solve -5 = o*w + 3*j, 0*j - n*j - 10 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 9:29 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -387 - -392. Solve 0 = -5*z - 3*a + 10, 3*z = 5*z + 3*a + h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (630\/(-220))\/21*4\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9661 is divided by 1021.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5.512*-21883\nAnswer: -120619.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53231162 to the nearest integer?\nAnswer: 7296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10*(-2 + 9\/6). Suppose 19 = 3*v - 2*k, 3*v - 5 = -0*v - 5*k. Solve -3*g + 15 = 2*p, -10 = v*p + h*g - 35 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -1, 1690260, 2\/15, -2?\nAnswer: 1690260","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7097*a**2 + 17*a + 5. Let l(q) = 10646*q**2 - 27*q - 8. What is 8*d(k) + 5*l(k)?\nAnswer: -3546*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10185672 by 5092836.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**5 + 389*v**4 - 12323*v**3 + 114507*v**2 - 332181*v - 90396.\nAnswer: (v - 9)**3*(v + 124)*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1289 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t + 132 = 0. Is 22 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*u + 36*u - 43*u**4 - 21*u - 19 wrt u.\nAnswer: -172*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -9, -5052 in decreasing order.\nAnswer: 5, -9, -5052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229130318?\nAnswer: 2, 17, 2293, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 12:44 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -11*v - 278. Let w(t) = 23*t + 510. Let n(y) = -11*a(y) - 6*w(y). Let f(o) be the third derivative of o**4\/24 + 5*o**2. What is f(n(u))?\nAnswer: -17*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 13*n = 6. Let w be ((-2)\/3)\/((-5)\/90). Suppose 0 = 5*s - 4*y - 33, -3*s + y + 0*y = -17. Solve -z + 24 = -3*a + 2*z, s*a + n*z = -w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 279 = 171. Let d = 98 - x. Which is the closest to 2\/5? (a) d (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28058 (base 15) to base 9\nAnswer: 215032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + f - 5*f + (3 - 6 + 1)*(-1 - 2*f + 1))*(3*f**2 + 12*f - 13*f - 7*f**2).\nAnswer: -4*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 83*w - 3. Determine n(83).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 1)*(3*o**3 + 0*o**3 - 2*o**3).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(76)*2)\/sqrt(4) + -3.\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 z when three letters picked without replacement from {a: 3, z: 8, h: 2, l: 2}.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -21*b - 44. Let v(y) = -25*y - 45. Determine -6*a(l) + 5*v(l).\nAnswer: l + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11 - (6054\/(-366) - -4). Is 3 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*v + 2*v - 5*v)*(23 + 11 - 24 - v) to the form d*v**2 + q*v + x and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (1 + sqrt(3) + -1)) + sqrt(3))*5*-4.\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -19*s**5\/20 - 4*s**3\/3 + s**2\/2 - 65*s + 70. Let i(b) = 6*b**3 + 3*b. What is 8*i(y) + 3*v(y)?\nAnswer: -9*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 18*h**2 - 24*h + 143. Let s be g(-21). Which is greater: s or -675?\nAnswer: -675","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 3*t - t)*(-3*t - t + 3*t) + t**2 - 3 + 0*t**2 + 0.\nAnswer: 5*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1335 - -42?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*f + 35, -6*l + 14 = 2*f - 7*l. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/392 and 179\/10878.\nAnswer: 43512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -468, -135, 210, 567, 936, 1317?\nAnswer: 1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 313901479?\nAnswer: 313901479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence see when three letters picked without replacement from {e: 3, s: 2, y: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 220894, 441792, 662690, 883588?\n\"Answer: 220898*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/12)\/((-1)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1327599?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 152027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -289, -1088, -2443, -4402, -7013, -10324?\nAnswer: -14383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 8 = -2269*y + 2264*y, y + 8 = -3*r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/4401 and 31\/1449?\nAnswer: 708561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441990?\nAnswer: 2, 3, 5, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-10*p + 8*p - 294 + 296).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4. Let y = 2 + s. Suppose 4*x = 3*f + 19, 3*x + 12 = y*f + 7*x. Is -3\/2 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 570 - 206. Let l = 224 - a. Let t = 238 - l. What are the prime factors of t?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -11*q**2\/2 + 3*q - 76. Give w(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(3\/2)*l**(-3\/7)\/l)**(-43))**1)**14 assuming l is positive.\nAnswer: l**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -15*y**2. Let n(z) = z - 8. Let t be n(-7). Let j be t - -14 - -3*1. Let r(v) = 12*v**2 - 20*v**j + 7*v**2. Give r(b(m)).\nAnswer: -225*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 378*q - 290. Calculate d(1).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7042216218*n + 3*n**3 - 7042216218*n.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 2*r + 3*r)*(-5 + 3 + 4) + 0 + r + 0 - 27*r + 49*r - 237*r.\nAnswer: -212*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 38114, 38133, 38152, 38171, 38190, 38209?\n\"Answer: 19*v + 38095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + 6*2*sqrt(17) - ((sqrt(17) - sqrt(34)\/sqrt(2))*2 + 2)) + 5)**2.\nAnswer: -216*sqrt(17) + 2529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 13*(0 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -214, -371, -590, -871?\nAnswer: -1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -50, 1\/3, -4, 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 26\/5 of a centimeter?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 426814 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2, 0.4, -36, 4 in decreasing order.\nAnswer: 4, 2, 0.4, 0.2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 + (0 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -138*d**3 - 12*d**2 - 44*d + 1. List the prime factors of w(-3).\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1092)\/(-65)*210\/147\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuu when three letters picked without replacement from {y: 9, u: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**2 - 3*r - 2. Let i(k) = -k - 1. Let x be (-2 - (-5 - -3))\/1. Let d = -2 - x. Give d*j(o) + 5*i(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 477*h**2 - 8390520*h + 4979795556.\nAnswer: 3*(h - 914)**2*(h + 1987)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 a when three letters picked without replacement from vaavavvfavafa.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24402 divided by -8134.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5807*y - 86*y**2 - 4 - 5807*y + 4.\nAnswer: -86*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 793, 2627, 5515, 9457, 14453, 20503, 27607?\n\"Answer: 527*s**2 + 253*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*t**4 + 36*t**4 - 2*t - 40 - 11*t**4 + 397*t**5 - 12*t**4 wrt t?\nAnswer: 7940*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 66929200\nAnswer: 200787600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203, -381, -559, -737, -915?\nAnswer: -1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and 46?\nAnswer: -966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/21*3\/(-11)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usu when three letters picked without replacement from suususssusuususssusu.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from olllol?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 6) to base 10.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1712)\/(-70620)*10\/4?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, 5\/6, 13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 3*f - 1736 = 0. Let b = -302 - f. What is l in -2*l**5 - 2*l**2 - 130*l**4 + 0*l**2 + 2*l**3 + b*l**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30403 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - q = 3*q + 31, 4*d = -2*q + 12. Suppose 2*l + 2*r = 0, 3*r - 28 = -5*l + 5*r. Do l and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303133846 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: Let s = -21 + 34. Suppose -4*o + k = 5, 2*k - 1 - 9 = -3*o. Let t be (-4)\/(-4) + o + 2. Solve -2*c + t*r + s = 0, 3*c - r - 12 = 2*r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3463439 decades to months.\nAnswer: 41.561268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -67, -84, -119, -178, -267?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 2482.364981437?\nAnswer: -2483.364981437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**2 + 40*f. Let x be n(10). Which is smaller: x or 9.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-5) + (-642)\/(-10). Suppose -4*w = 10 + 2, -3*o - 4*w = -642. Let x = o - b. What is the greatest common divisor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, b: 2}. Give prob of picking 2 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9207360588 less than -802.2?\nAnswer: 9207359785.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/7 + 16\/(-56). Let h(d) be the third derivative of d**4\/12 - 2*d**3\/3 + 12*d**2. Let o be h(i). Which is the closest to -6? (a) 5 (b) 2\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmpmvmvv. Give prob of sequence mmm.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 22*h - 40*h - 3 + 17*h. Determine p(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -3870247.\nAnswer: 5\/3870247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 minus 23?\nAnswer: -24.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 73798?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 567\/(-4860)*258\/(-231) and 9\/55.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 8:00 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117 + -112. Suppose -4*z + 3654 = g*l, -5*z - 18 - 2 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 0*o + 0 + 0*o**3 + 4*o**2 + 1\/6*o**4. Let z(u) be the second derivative of -u**3\/6 - u. Give z(l(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*z + 200 = 0, 0 = -2*s - 0*s + 3*z + 77. Let d = s - 48. Let w(g) = -4*g - 16. Let i be w(d). Which is smaller: 5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -12. Suppose 5 = -m*r + 133. What is the smallest common multiple of 4 and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.7334 - 2?\nAnswer: -61.7334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -68780, -4, 1\/2, -2.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0037291977 rounded to four decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - j - 7800 + 7907, 4*j = -12 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*b - 2*b - 4*b)*(-4*b + b + 0*b) + 4*b**2 - 4*b**2 - 2*b**2)*(-1 - 1 + 4) to the form u*b**2 + i + d*b and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 19 = 5*q, 6*g - g + 35 = q. What is the units digit of (-44)\/g + 1\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3175 - 7860.6825. Let s = -7927.18 - y. Let r = s - -67. Round r to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 23*r**2 + 74*r - 552. Let v be j(7). Are v and 1093 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 1. Suppose h = 5*v + 15, 3*h = 2*v + 2*h + 6. Let u be (-22)\/v - 6\/(-9). Suppose -6*k = -4*k - u. What is t(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1578298 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 6918*h - 265772.\nAnswer: 2*(h - 3497)*(h + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 68 + 100 = 0. What is the smallest common multiple of m and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 12*n**3 + 153*n**2 + 453*n - 23. Give b(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9072) + 2 - (sqrt(252)\/sqrt(4) + 4)) + -1.\nAnswer: -3 + 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-3))\/(5\/6). Let n = 1 - 0.9. Which is the smallest value? (a) y (b) n (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d = 39*d - 72*d + 7 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 39. Let y(v) = 3*v + 112. Let x(u) = -11*j(u) - 4*y(u). Determine x(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17973.\nAnswer: 3, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 4 - 26. Calculate the least common multiple of l and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866 is divided by 405.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 91*l + 13. Let b be s(5). Calculate the greatest common factor of b and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3438966690.\nAnswer: 2, 3, 5, 38210741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10219999 - 4.\nAnswer: 10219995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**8\/3864 - 13*q**7\/2415 - 16*q**6\/345 - 74*q**5\/345 - 40*q**4\/69 - 64*q**3\/69 + 2*q**2 - 606. Solve a(t) = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 547998700 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 - 2074*t**3 + 714126*t**2 - 80674030*t - 334255384.\nAnswer: 2*(t - 347)**3*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*f + 145*f = 0. Suppose -o - 5*t = -3*o + 392, f = o - 4*t - 202. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 5*f. Let y = f + 3. Suppose -o = -y*a - 23, -4*o + 65 = -4*a + 5. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*n**4\/2 - 2502831*n**3\/2 - 7508559*n**2\/2 - 7508581*n\/2 - 1251432.\nAnswer: (n + 1)**3*(11*n - 2502864)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 - 30*a**2 + a - 14. Let s(v) = 3*v**2 - 35*v - 37. Let f be s(13). What is y(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -0.03188?\nAnswer: -0.03188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 6. Let w = -4 + j. Differentiate -4 - w + 2 - 7*l**4 wrt l.\nAnswer: -28*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -166 + -135?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 2*j**2 + j + 4. Let l be v(-3). Let u = 7 - l. Let k be 105 - 0\/((-4)\/2). Calculate the greatest common factor of u and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)*1 + -4 + sqrt(176) + 3 + 2.\nAnswer: 1 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-77)\/20*(12 + 783\/(-63)) and 59\/312?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (217\/93)\/((-70)\/(-300))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4)\/w)\/w**(-3)*w**6\/w**(-2\/13) assuming w is positive.\nAnswer: w**(411\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r. Let n(j) = -4*j**2 + 4*j. Give i(n(l)).\nAnswer: 12*l**2 - 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + -6 - (-7 - -2)) + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202222210012 + -21?\nAnswer: 202222202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 791889, 791891, 791893, 791895, 791897?\nAnswer: 791899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 + 5)\/(-5 + 7) - (3 - 2). Sort -10, 2, -8, s in ascending order.\nAnswer: -10, -8, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.8 (b) 5 (c) 2\/7 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 9 = 73. Let t(q) be the first derivative of 5*q**2 - 15*q + 4. Calculate the remainder when t(6) is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6 - 16\/6. Let d = 3 - t. Suppose -d*l + 59 = -26. What is the remainder when 49 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31.5 greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -28. Suppose 5*w = 3*n - 8, 0*w - 4 = -2*n + q*w. Let c = 6 + -9. Which is smaller: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6199*s**3*v**3 + 3*s**3 - 2*s**2*v**5 + 2*s**2*v - 2*s**2 + 389*s wrt v.\nAnswer: 37194*s**3*v - 40*s**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/4))**26)**8 assuming n is positive.\nAnswer: n**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/64, -17, -1\/4, -3, -7\/17 in decreasing order.\nAnswer: -1\/64, -1\/4, -7\/17, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 20*a - 83. Let z be w(-10). Is -85 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 5. Let a be ((-4)\/(-5))\/(3\/15). Sort l, a, -3.\nAnswer: -3, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 324162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*g = 0, -3*y - 2*y = 3*g - 8. Suppose y*m - x - 242 = 0, -4*m + 56 = -3*m + 2*x. Suppose -6*u = 4*u - m. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyyyyyyyyyyyyyy. Give prob of sequence yfy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**3\/8 - 15*d**2 + 837*d\/8 = 0. Calculate d.\nAnswer: 0, 9, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 250115401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/8 + 3)*1\/24*6. Which is the nearest to 3.1? (a) v (b) 19 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115 + 116. Put x, -4, -1 in descending order.\nAnswer: x, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**5\/20 - 3*m**4\/8 - 2*m**2 + 5*m. Solve t(n) = 0 for n.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = o - 30, 26 = 4*o - 5*x - 107. Calculate the highest common factor of o and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - z = -0*m - 140, -4*m = -z + 188. Let u be 84\/16 - 4*(-3)\/m. Suppose -3*q + 77 = u*j, 4*j - 4*q + q = 40. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53361.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.19987 - 0.211167. What is o rounded to 4 dps?\nAnswer: -0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/2910 and -73\/33.\nAnswer: 32010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1235 + 325 = 13*m. Let h = 622 - m. List the prime factors of h.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -3*u + 7*u. Let z be (-2)\/u + 145\/45. Differentiate z + 4*q - q + 6*q + 5 with respect to q.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q**5 + 2796*q**4\/5 + 64*q**3 - 2796*q**2\/5 - 56*q = 0. Calculate q.\nAnswer: -1, -1\/10, 0, 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6 + 3)*(-5 + 0 + 0)*(15 + 1 + 3)*(-t - 5*t + 3*t) to r + i*t and give i.\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/3)\/w**(-2\/5)*(w**(-1))**(-44) assuming w is positive.\nAnswer: w**(671\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48066.61um to kilometers.\nAnswer: 0.00004806661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001437847 to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**3 + 1358 - 753 - 415 - 190.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uos when three letters picked without replacement from {o: 3, w: 2, u: 2, s: 2, k: 1, z: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 13*v + 2*c - 4 = 0, 0 = -4*v + 4*c + 12. Let d(l) = 0*l + 17*l**v - 3 + 6 + l + 25*l**2 - 43*l**2. Determine d(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 4*m + 3*b + 3751, -4*m - 2*b = -3014. Suppose -3*y + m = 4*s, -y + 5*s = -221 - 17. Suppose -2*t = -198 - y. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33331301011 (base 4) to base 5\nAnswer: -2032411112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*q - 10. Suppose -8 = -3*v + 40. Solve 0 = -q*p + p + v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*w = -111*w + 107*w - 258 - 762 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = 10*q - 4*n + 24, -4*q = -3*n - 10. Let v = -0.29 - 0.04. Let z = 0.17 - v. Sort z, -1\/3, q in decreasing order.\nAnswer: q, z, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 102*g + 97*g - 13, 5*a + g = 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 102 - 98. Let s be (-1 + 2 + 9)\/2. Solve 4*d + 16 = g*b, 2*b - 2*d - s = 3*d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101 - -101.2. Let u be (4\/7)\/(-2)*-1. Sort u, f, 3 in increasing order.\nAnswer: f, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 0.7. Let b = -0.4 - f. Let w = -1 - -1.2. What is the smallest value in w, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 34 + 36. What is the remainder when 50 is divided by (-56)\/u - (-13)\/1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 14*z - 2*z**2 - 12*z - 1 - z**3 + 5. Let u be m(-4). Suppose i - 20 = -3*r, i + 5*r = -4 + u. Calculate the remainder when 41 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 6. Suppose 155*w = 157*w - 10. Suppose 7*b - w*b = 3*n - 20, -5*b - 5*n = 0. Calculate j(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*b + 3*n + 3041989, 2*n + 12167996 = 4*b. Suppose 3*r + b = -0*r - i, -7*i = 7. What is r rounded to the nearest 10000?\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 0*c + 4\/3*c**3 - 1\/24*c**4 + c**2 + 0. Suppose 3*t + 3 = 3*i - 30, -3*t + 2 = 2*i. Calculate p(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a. Let l be 120\/90 - 0\/(-2). Let q(p) be the first derivative of 0*p + 4 + 0*p**2 - l*p**3. What is q(k(r))?\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(65)\/sqrt(5)*1)**2 - sqrt(52)\/((sqrt(4) + -3*sqrt(4) - sqrt(4))*-1)) + 4.\nAnswer: -25*sqrt(13)\/3 + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32 - 65 + 2*o**3 - 32*o**4 - 2*o**3 wrt o.\nAnswer: -128*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164880 divided by -90.\nAnswer: 1832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - ((-4 - -1) + 3). Let t be ((-4)\/(-2)*a)\/(-2). Solve 0*x = x + t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1611 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11542820 a multiple of 932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 4*l - 1708, -21*j + 430 = -19*j - 4*l. Is j < 225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**5\/20 + 5*t**4\/6 - t**3\/6 + 4*t**2 - 14*t. Determine p(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4855 a factor of 200003720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7048 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 239 + (1 + 2 - 2). What is the second derivative of h + 9*h - 224*h**3 + p*h**3 wrt h?\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 5. Let x(d) be the second derivative of -d**6\/720 - d**5\/10 - 151*d**4\/12 + 3*d. Let q(z) be the third derivative of x(z). Calculate q(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2053538?\nAnswer: 2, 53, 19373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 58876004 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142 and 1775?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from cckccckzczzc.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -153*h + 158*h - 670065, -134024 = -h - 3*s. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**3 - 5*x + 3 + 4*x**2 + 6*x**3 + 3 - 2*x**3. Let z be f(-5). Find the third derivative of 3*w**5 - z*w + 2*w**2 + 6*w wrt w.\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 884 divide 16378752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 - 77 = 7*g. Which is the second biggest value? (a) g (b) -1 (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12059 divided by 31?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3754 - 0.0084. Let i = -1004.11 + 1004. Let q = x + i. Round q to 2 decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16300945301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 11*j**3 + j**2 - 2*j. Let d be (55\/(-25))\/((-2)\/10). Let t = d + -10. Let s be w(t). Solve 3*c + 2 = -2*o, -5*c - 4 = o - s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 2*s + 2. Let h be l(-3). Let b be (-3)\/h + (2 - 3). Suppose b*z - 2 = z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1799 - 1726. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27, 32, 15, -36, -133, -288, -513?\n\"Answer: -2*q**3 + q**2 + 16*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15675 = 5256*p - 4971*p for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 10*p**2 - 17*p + 69. Let m be j(11). Factor -3 + m*b - 3\/4*b**2.\nAnswer: -3*(b - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q - 4. Let j be x(-1). Let d be j\/(-6)*-1*(0 + -3). Solve 2*k - 3*a = -d, k - 3*k + a = 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -45832, -45831, -45830, -45829, -45828, -45827?\n\"Answer: u - 45833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/2)\/(9\/(-2) - -4). Let o = -4 + 6. Let i = -8.3 - -8. What is the fourth smallest value in -3\/5, h, o, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7611308013 - 7612423668.000032. Let p = b + 1115625. Let x = p + 30. What is x rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*x = -242*x + 11660 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, b: 2, g: 3, n: 9, j: 1, i: 3}. Give prob of sequence cbj.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 2*i. Let p be ((-6)\/(-14))\/(39\/(-21) + 2). Solve i*v - p = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 70 = 60*c - 423 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(275) - sqrt(11) - (2*sqrt(11) + -1) - (sqrt(704) + 0 + 0).\nAnswer: -21*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1539d (base 15) to base 5.\nAnswer: 4141243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3399616271.\nAnswer: 31, 10099, 10859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7*v**2 - 82*v + 41. Calculate the smallest common multiple of 144 and c(-11).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 82\/28 - (6 + (-14)\/4).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/89312 and 117\/160?\nAnswer: 446560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1692 and 3855324.\nAnswer: 543600684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 628278 and 10878.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -1567*b - 67437. What is v(-43)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 - 2 + p**2 + 5 - 6 to b*p**2 + r*p + n and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/(275\/(-110)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4828557919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15414b5 - -4?\nAnswer: 15414b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.99910836 to three decimal places.\nAnswer: -0.999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99\/25 - -17\/50. Calculate the common denominator of -5\/6 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/48 and -125\/54?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -15 + 11 + 50.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-3))\/(-2) + 3450\/45. Let k = -75 + t. Solve -2*b - 2 = -3*j, -5*b = -3*j + 6 - k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**3 + 2*q**3 - q**3 + (-12*q**3 + 41*q**3 + 11*q**3 + (3*q - 3*q + 2*q**2)*(-3*q + q + q))*(1 + 0 - 2 + (0 + 0 - 1)*(-3 + 4 + 1)).\nAnswer: -110*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28278*c**3 + 31722*c**2 wrt c?\nAnswer: 169668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-14) - (78\/21 + -2). Let h = 2 - 3. Let w be (4\/(-70))\/(h\/(-5)). What is the closest to q in -0.4, w, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*b + 41, -b - 2*g = 2*b - 37. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llgvlvllll. What is prob of sequence lgv?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-9) + 3950\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2074403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -24. Let f be 3 + (-115)\/x + 6\/27. Suppose 0 = 2*v + f - 360. Calculate the remainder when v is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 6 = 15. Let c(p) = p**3 - p**2 + 4*p - 3. Give c(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.252 (b) 3 (c) 1\/6 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*s + 14 = 0. Let y(r) = -7*r - 7*r**3 + 3*r**3 + 4 + 3*r**3 + s*r**2. Let n be y(6). Let z(g) = 2*g**2 + 3*g + 1. Determine z(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -3. Suppose 4*y + 4*w = -28, -4*y - 10 = -w - w. Let o = 125074.5 - 125075. What is the closest to 3 in o, y, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c**5 + 186232*c**4 + 2170809973*c**3\/3 + 8177621701*c**2 + 2665577072*c + 661369676\/3 = 0.\nAnswer: -7754, -11, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1234*o - 313*o + 690*o to z + c*o and give c.\nAnswer: 1611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 9*y**2 + 36*y + 44. Give c(-11).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 336 + -223. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 0, -8\/3, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 57.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 36*f - 6. Let m(k) = 31*k - 5. Let c(v) = 6*g(v) - 7*m(v). Let q(b) = -3*b**2 - 6*b - 4. Determine -5*c(z) + q(z).\nAnswer: -3*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 3*v + 2. Let x be p(2). Let h(m) = -m**2 - 10*m - 11. Let o be h(-8). Suppose s + 0*s = 15. Solve x*q = o*q + s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = 410 + 370. Let i = o + 29. Let b = i - -74. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, 6, 1\/4, -0.04, -2\/23, 5\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 0*z - 5*z + (-z + 0*z + 3*z)*(2 - 4 + 1))*(17*z**3 - 18*z**3 - 28*z**3).\nAnswer: 87*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m**2 + 153*m - 17. Let s be y(19). Which is the nearest to 2\/7? (a) s (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 280, 1006, 2148, 3688, 5608?\n\"Answer: -3*r**3 + 226*r**2 + 69*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/309 and 121\/434658.\nAnswer: 44769774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 286335648 and 11232?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190755 is divided by 6577.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91959 (base 11) to base 8.\nAnswer: -406155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 0 - 2) + 13\/(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -407*0.407.\nAnswer: -165.649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(9) + (-2*sqrt(99))\/sqrt(11)))\/(sqrt(18)*1 + sqrt(384)\/sqrt(12)).\nAnswer: -sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 4*f + 2. Let n be u(4). Suppose 5*t - o - 94 = -n*o, 0 = -5*t - 2*o + 98. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4750364162?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 8*s + 3. Calculate o(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 635288180 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (9 - 6 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.67 + -14.67. Put -2\/11, 2\/37, h in decreasing order.\nAnswer: 2\/37, h, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 6*a**2 - a + 27. Let x = -60 - -66. What is the remainder when 102 is divided by j(x)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(-3*r + 1 - 1 + 0 - r + 0 + 3*r - r - r + 4*r - 4*r - 2*r + (3*r + 2*r - 3*r)*(-2 + 6 - 2) - 2*r + 5*r - r - 42*r + 86*r - 38*r).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109.9 - -63.6. Round z to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4706 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1141, -1142, -1143, -1144, -1145, -1146?\n\"Answer: -d - 1140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b - -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, -3\/5, 4, 1 in descending order.\nAnswer: 4, 1, 2\/21, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68897 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 84760247 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 + 1 + 2*k**2 + 0)*(4*k**2 + 4*k**2 - 5*k**2).\nAnswer: -9*k**4 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3436927231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8914, 9523, 11184, 14425, 19774?\nAnswer: 27759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2354 - 2354 + 135*t**2)*(t**2 - 2*t**2 + 2*t**2 + 3).\nAnswer: 135*t**4 + 405*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671297 is divided by 825?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81810 and 804465.\nAnswer: 4826790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*u - 636 = 0, -9*u + 137 = z - 8*u. Solve 11*p - 53 = -z for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 2:58 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 6 + 24 + 72*k - 3 + 48*k**2 = 0.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 329 and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -67, -0.3, -64162 in ascending order.\nAnswer: -64162, -67, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4231744 or 4231745?\nAnswer: 4231745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*u = u - 56, 3*u - 71 = -2*g. What is the common denominator of 1\/(-4)*(6 - g) and 7\/(-14)*39\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/72 and 73\/17990800?\nAnswer: 161917200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8 = 0, 2*g = -g - 5*z + 40. Suppose -7 - 1 = -p. Let k = g - p. Solve k*d = -0*d - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqqqqqyqqq. What is prob of picking 2 y and 2 q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 298 + -133. Suppose -i + 5 = -4*m + 65, -4*i = m - 15. Calculate the greatest common factor of z and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/11))**30\/((b\/(b*b**(-2\/47)))\/(b*b\/((b**35*b)\/b*b*b))))**(-42) assuming b is positive.\nAnswer: b**(50274\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(5\/(-2)) + (-88644)\/81257.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4931469728 to the nearest integer?\nAnswer: 70224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4f854f (base 16) to base 10.\nAnswer: -5211471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 121, 347, 595, 865, 1157, 1471, 1807?\n\"Answer: 11*p**2 + 193*p - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - -3. What is the remainder when 13 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45481, 45442, 45381, 45298, 45193, 45066?\nAnswer: 44917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (150\/20)\/(-3)*36\/10\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g + 5*s - 19 = 0, 2*g - 2*s = -6. Suppose -g*j - 4*a + 585 = 179, a = 0. Is 29 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o + 1. Let p(x) = -x**3 - 6*x**2 + 6*x - 1. Suppose -5*a = 5*u + 20, -2*a - 3*a = 2*u - 1. Calculate the smallest common multiple of p(u) and z(5).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + (-2 + sqrt(432) - sqrt(432)) + 3 + 2 + sqrt(432) + 3 + sqrt(432) + -4 + (sqrt(432) - (sqrt(432) + 4)))**2.\nAnswer: -528*sqrt(3) + 1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-8 + 9 + -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.8 - -0.2. Let z = 6.3 - b. Let c = 0.2 - 0.5. What is the second smallest value in c, -2\/7, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43102 - -1033032?\nAnswer: 1131134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 352245.8 tonnes in micrograms?\nAnswer: 352245800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -93 + (-176 - -229).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 161 = l - 144, -8 = -2*d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 264.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 34*b**2 + 39*b + 80. Give t(-33).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*d - 50*d - 84*d + 67*d - 1398*d**2.\nAnswer: -1398*d**2 - 130*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from hhfthwhwwffhsiw.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 5. Let q be (-24)\/180 - (3 - 84\/30). What is the third biggest value in q, -0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(1\/3)*l)\/l*l*l)**(-9\/10)\/((l**(-1\/3)\/l)\/(l**(-6)\/l)))**(-23) assuming l is positive.\nAnswer: l**(6601\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/35)\/((-60)\/25)*(7 - -3).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.9 + 5.90000024. Round c to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**13*k**(-21\/4)\/k)\/((k*k*k**(1\/55))\/k*k\/k**(-1\/10)) assuming k is positive.\nAnswer: k**(1019\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 573884360 rounded to the nearest one million?\nAnswer: 574000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.62, -0.2, -1911, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 473889 and 143.\nAnswer: 5212779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-2 - -1)\/1). What is the first derivative of 4*k**4 + 2*k**2 - 2*k**z + 3 - 2*k**2 wrt k?\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*s + 2*s - 5*p, -4*s + 5*p + 15 = 0. Suppose -z + 4 = 2*o - s, -24 = -2*z - 3*o. Solve 0 = -4*k + z - 22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-8*v - 7*v**2 + 8*v)*(-v - 9*v - 3*v) + v**3 - 4*v**3 + 2*v**3)*(10*v**2 - 12*v**2 + 2 + 3).\nAnswer: -180*v**5 + 450*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -5 (c) 2 (d) 1 (e) 2\/17 (f) -25\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 399, 804, 1211, 1620, 2031?\n\"Answer: r**2 + 402*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, 191, 1.1, 1.36?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 384.\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 7*q**2 + 0*q**2 - q**2 + 4 - 4 + (-1 + 5*q**2 + 1)*(6 - 5 + 1) - 1 + 1 + 3*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28079\/141 + 9\/47. Which is smaller: a or 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116\/12*3*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (928\/12 + -2)\/((-44)\/(-66)). Suppose -n = -30*c + 337. Calculate the highest common factor of c and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9544795*b**3 - 214 + 214 + 9544791*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 + 104 + 133 = -22*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 3:43 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/8 - a\/4 - 15\/8.\nAnswer: (a - 5)*(a + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.55 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j + 2*j**4 - 4*j - j**4 + (1 - 1 - 1)*(2*j**4 + j**4 + 3*j**4) to h + n*j + d*j**2 + i*j**4 + v*j**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/4))**(17\/5)\/(c**9*c*c*c*c\/(c\/(c\/(c\/(c\/c**(3\/2)))*c))) assuming c is positive.\nAnswer: c**(-301\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**4\/24 + f**3\/3 + 29*f**2. Let j = 18 - 9. What is the remainder when 42 is divided by q(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6*o = 15. Suppose 4*r - o*l - 21 = 0, 0*r + 14 = 4*r + 2*l. Let w be 3\/1 - (-3 + 6 + 0). Solve -u - u + r = w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - 0) + (-100 - (-332 - -150))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(4*4\/32). Let x = 13 - f. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-192)\/12)\/240)\/(6\/9).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, l: 9, c: 6}. What is prob of sequence ddl?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 765 and 5185?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3625 - 3625.3. What is the closest to -1\/7 in n, -0.2, 6, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -83*i**2 - 9*i + 9. Let a(t) = -165*t**2 - 16*t + 18. Let x(o) = -3*a(o) + 5*u(o). Suppose 0 = 6*l - 2*l + 16. Is x(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c*w**2 + 35*c - 46*w**2 + 2 with respect to c.\nAnswer: -4*w**2 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 3*q**2 - 2. Let j be r(1). Let v(k) = -j*k + 2 + 8 - 3 + 11. Let c be v(8). Solve 5*f - 23 = 4*s + 8, c*s = 4*f - 20 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 14) to base 2\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -64. Suppose -k = 3*o - 5*g, 3*o - g = o - 16. Let m = o - -14. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 5*q**6\/6 + 9*q**5 - 185*q**4\/4 - 15*q**3 + 90*q**2 + 4326. What is y in k(y) = 0?\nAnswer: -12, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 1\/6 (c) 5 (d) 4 (e) 0.4 (f) -0.11192\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14\/3*f**2 - 10\/3 - 2\/3*f**3 - 22\/3*f = 0. What is f?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7474988 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 3. Does 12 divide z\/(3\/((-69)\/(-2)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3844, -7688, -11532, -15376?\n\"Answer: -3844*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (46\/(-483))\/(2\/(-6))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.164 > 7.237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.22, 20431\/11.\nAnswer: 0.22, 1\/4, 20431\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 41*m**2 + 161*m + 40. What is the ten thousands digit of t(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*i**2 + 6*i - 2 + 8*i**3 - 14*i**3 + 8*i**3.\nAnswer: 2*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.4 + 8.4. Let g = -7 - -6.94. Let p = 4.06 + g. Which is the nearest to s? (a) -1 (b) 2\/21 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 269, 273, 277, 281, 285, 289?\n\"Answer: 4*c + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**6\/1200 - 7*x**5\/600 + 3*x**4\/40 + 207*x**2. Factor c(g).\nAnswer: -g*(g - 2)*(g + 9)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6690, -26526, -59566, -105810, -165258, -237910, -323766?\n\"Answer: -6602*i**2 - 30*i - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -469 divided by -6\nAnswer: 469\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.20953ml in litres?\nAnswer: 0.09120953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 2685132479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/7 - 1560\/(-28). Suppose 3*o - f = -o. Find the common denominator of -59\/8 and ((-4)\/21)\/(3\/o).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1468574, -2937101, -4405628, -5874155?\nAnswer: -7342682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23925 - -23925.5. What is the closest to -10 in w, -3, 4, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfj when three letters picked without replacement from fjwgfwjjjjjf?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10283, 0, -4\/5?\nAnswer: -10283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 4*u**2 - 5*u + 4. Let n be v(-5). Suppose 5*a - a = 112. Calculate the highest common divisor of a and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2052 divided by -513.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57942 or 50521?\nAnswer: 50521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.18 (b) 4 (c) 3 (d) -4\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-1) - (-2)\/1. Suppose 0 = 4*k - h - 3, 0 = -4*k - 4*h + 28. Suppose -5*q + 11 = -f*i, i + 4*i + 1 = k*q. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1899889, -1899887, -1899885, -1899883, -1899881, -1899879?\nAnswer: -1899877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9777869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + n**2 - 15*n + 1161. Let h = -711 + 711. What are the prime factors of l(h)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 19.5, -3, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**7\/140 - v**6\/30 + v**3\/3 + 24. Let x(a) be the third derivative of m(a). Find the third derivative of x(z) wrt z.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/17938715 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53.69 + 55. Let h = 6166.7014 - 6168. Let k = y + h. Round k to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - 6*(-2*sqrt(70) - sqrt(70))) + sqrt(70) + sqrt(70) - sqrt(70))\/sqrt(10) - (1*(sqrt(28)\/sqrt(4))**2 + sqrt(7))*-3.\nAnswer: 21 + 23*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 10*o + 3. Let a be m(10). Let v be (-4)\/6 - (-2)\/a. Solve 2*w + 3 = -5*n - 0, -5*w + 5*n + 10 = v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 210557832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -573\/110 - -3\/10. Let b(n) = 23*n - 2. Let h be b(-8). What is the common denominator of l and h\/4 + (4 - 1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.62 - 2593687207.1.\nAnswer: -2593687206.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 462 = -z + 4*g, 0 = 4*g - 12. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 34 = 23*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, u: 8}. What is prob of sequence nnu?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 19*x**3 + x**2 + x - 1. Let a = 5 + -4. Let t be m(a). Let j be (1\/(-3) + 0)\/(t\/(-60)). Solve j = 3*g + 5*l + 2, 4*l - 14 = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -752\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196613.\nAnswer: 196613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 4*d + 321, 6*o + 50095*d - 50091*d = -394 for o.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/2*(-40)\/70. Solve 9 = -3*o + i - h, 0 = -4*o - 3*i - 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {w: 6, p: 13}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-15 + (-15 - -46))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 17. Suppose 3*l = h - 6*h - a, 4*h = l - 15. Suppose l*p + 8 - 32 = 0. Solve -v - p = -5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 566986 and 13636?\nAnswer: 552244364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2254 divided by 2254?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-8 - (-20 + 7 + 6)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -529481 rounded to the nearest 1000?\nAnswer: -529000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -4, -0.53, -5?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21331153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -4724261.38 to the nearest 10000.\nAnswer: -4720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggq when four letters picked without replacement from {q: 2, g: 7}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*s - 394*s + 309*s - 336 = 309 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 17*k + 2*k - k - 6*k. Let i(b) = 49*b. Give 5*i(w) - 21*u(w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Suppose r = 3*x - 645 + 129. Calculate the common denominator of ((-5)\/30)\/((-6)\/x) and -44.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**4 + 4*h**2*j**2 - 19*h**2*j + 2*h*j**2 + 4*h*j - j**2 wrt h.\nAnswer: -12*h**2 + 8*j**2 - 38*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-4 - -6)*(-3 - -1637 - -2) is divided by 102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50728463.4008728 - 50728344. Let v = i + -119.4. What is v rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233389?\nAnswer: 13, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5052 + 260?\nAnswer: -48a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/4581 - 4571\/9162. Suppose 0 = -2*i - i. Which is smaller: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*l + 14. Let i = 3 + l. Is 11 a factor of 23 - 1\/(i\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ijjiiiiiijijiijjiji.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -56*g**2 - g - 54. Let s(b) = -b**3 - 97*b**2 - 2*b - 107. Calculate -3*s(a) + 5*y(a).\nAnswer: 3*a**3 + 11*a**2 + a + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83 + 87. Let f(i) = 1559434*i**2 + 8*i + 1. Let p be f(-7). Suppose -s*m - 18412211 = -p. Round m to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.186881 grams in milligrams?\nAnswer: 9186.881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, u: 3}. What is prob of sequence ugg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 + 12 - 17) + -23 + -34.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2292 + 55*n**3 - 58*n**3 - 2292.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a - 3a12000?\nAnswer: -3a1201a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - h**3 + 0 + 2*h**4 + 275*h**2 - 278*h**2 to the form z*h**4 + v*h + m*h**3 + c + n*h**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.2, -2, 4, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p + 11. Let r(o) = o - 2. Let m(b) = 2*k(b) + 11*r(b). Let d(g) = -g - 1. Let v(y) = -4*d(y) + 6*m(y). What is the tens digit of v(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmr when three letters picked without replacement from rlvlvvnmrnmrlnnerrrl.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1747876 rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10221221 (base 4) in base 5?\nAnswer: 1102144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3065220 - 0.1\nAnswer: 3065219.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 531928173 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**2. Let z(v) = 163*v**2. Determine f(z(s)).\nAnswer: -79707*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 10*r**2 - 2. Suppose 0*n + 10 = -5*n. Does 19 divide i(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780341374?\nAnswer: 2, 390170687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18932, -18934, -18936, -18938?\n\"Answer: -2*n - 18930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/14)\/((42\/4)\/(-7))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 3 + 2\/3*v**3 + 0*v**2 + 0*v. Determine w(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**4 + 3014*c**3 + 45457*c**2 - 66014*c - 1890096 = 0.\nAnswer: -13, -8, 6, 3029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3788 - -3880. Calculate the highest common divisor of 3473 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57827445 is divided by 252?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (26434 - (-42)\/6) + -7. Suppose z - m = -a - 3*a, -33053 = -5*a + 4*z. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 354 - 321. Solve o*n = 14*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -65?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-495)\/66*3*1)\/(4\/(-2)*3).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 8*f**2 - 8*f - 6. Let n be w(9). Solve -n*j + 0*x + 4*x = -4, -5*j - 3*x = 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-3 - (-13)\/(39\/12)). Let d(s) = -3*s - 22. Determine d(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(0 + -2))\/((-2)\/(-6)). Solve -4 - 8 = -v*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 4 = 4*x. Suppose 2*a + x*a - 36 = 0. Solve 0 = -5*v - 4*t + 7, -a*v + t + 8 = 3*t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316809657?\nAnswer: 3, 47, 421, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1522, -3045, -4570, -6097, -7626, -9157, -10690?\n\"Answer: -d**2 - 1520*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6495 and -1725.87?\nAnswer: -11209525.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**5\/60 + t**3\/6 + 9*t**2. Suppose r(q) = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2861 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8ef13d (base 16) in base 8?\nAnswer: -43570475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u - 2. Let w(g) = -g. Calculate a(v) + 4*w(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*a**2*s**2*v - 4*a**2*s*v + 10289*a**2*t*v - 139*a*s**2*t - 4929*s**2 + 2*s*v with respect to t.\nAnswer: 10289*a**2*v - 139*a*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*i - 12. Let c = 13 + -8. Suppose 0 = -c*j + i*j. Put -4, -3, j in descending order.\nAnswer: j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*sqrt(1872) + sqrt(1872) - sqrt(1872)) + sqrt(1872).\nAnswer: 5 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/2)\/(j*j*j**(4\/17)*j*j*j) assuming j is positive.\nAnswer: j**(-229\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 81.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 11283*j**2 - 24162291*j - 45590518175.\nAnswer: -(j - 6229)**2*(j + 1175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 947 is divided by 254?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6 - 22\/6. Suppose 0 = 3*l - 5*p - 11, -3*l + 0*p = 4*p - 2. Put l, y, 3 in decreasing order.\nAnswer: 3, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3349, 6737, 10139, 13561, 17009, 20489, 24007, 27569?\nAnswer: 31181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3, -38, -141, -336, -653, -1122?\n\"Answer: -5*q**3 - q**2 - 3*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*a + 2*l, -13*l = 3*a - 6*l - 0*l - 32 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201021220 (base 3) to base 6.\nAnswer: -145040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 416058 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -8*g. Let m(s) = -s**2 - 8*s + 12. Let i be m(-9). Let u(p) = -i*p - 2*p + 4*p. Determine -6*u(c) + w(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 508514*c**2 + 53 + 96255*c**2 - 28.\nAnswer: -412259*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132171, -132312, -132449, -132582?\nAnswer: -132711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 515*v - 631. What are the prime factors of l(6)?\nAnswer: 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 6, -0.2, -273?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -14*r**2 + 11*r. Let l(o) = 3*o**2 - 2*o. Let i = 23434 + -23423. Suppose -5 = -4*m - 3*v, -4*m + 12 + 1 = -5*v. What is i*l(z) + m*h(z)?\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(2304)*-1)\/(sqrt(88)\/(sqrt(99)\/(sqrt(9)*-2))).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.66481 to 3 decimal places.\nAnswer: -0.665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*z - 4*z = 35620, 3*s = 4*z + 26717. Suppose -s = -12*h - 17*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 3*t**4 - t**4 + t - t + (0 + 4 - 2)*(0 + 2*t**4 + 0) + 3*t**4 - 3*t**2 + 3*t**2 + (0 + 3 - 2)*(-3*t + 3*t - t**4).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 5:00 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + n - r + 27 = 0, n = 5*r + 25. Suppose 1 = 10*w - 99. What is the highest common factor of n and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12346.4 rounded to the nearest ten?\nAnswer: -12350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*q + 2*q. Let n be (-2 + q)\/((-3)\/(-9)). Solve 0 = -3*g - 0*g + n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56566753?\nAnswer: 56566753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -3 + (4 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5172919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 135043, 540166, 1215385, 2160706, 3376135, 4861678, 6617341?\n\"Answer: g**3 + 135042*g**2 - 10*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 519200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrrrhhrruhuuorhbrhr. What is prob of sequence rrh?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -23. Let d be 4\/6 + y\/9. Let i(f) = -2*f**2 + 2*f - 3. Determine i(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2512\/(-6)*-3*(-40 - -44).\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccccbcbcccbccccc. What is prob of picking 2 b?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -106*t + 420144 - 418236 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2328\/194*(-348)\/144\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, p: 8}. What is prob of sequence kkkp?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Which is the closest to o? (a) 5 (b) -0.2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -64 = -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*sqrt(112) + -1)**2.\nAnswer: -8*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29 - -5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121 - -170. Let k = x + 688. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*d - 10 - 128. Let k(q) be the second derivative of 0 + 7*q + 0*q**2 - 1\/6*q**d. Let j(o) = 7*o. Give k(j(a)).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 - 4*l**2 + 4*l**2)*(-5 + 11 + l - 4 - l + 4*l + 2 - l - 7*l - 10 + 10 - l + 2*l + l + (-3*l - 2*l + 4*l)*(-3 + 1 + 1)).\nAnswer: l**4 - 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 623 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*i, i - 19 - 52 = 5*a. Let s = 15 + a. Calculate the remainder when s is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 7*g**2 + 15*g - 21. Determine i(9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -113424*l**2 - 5*l + 1146398 wrt l.\nAnswer: -226848*l - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4 - 189\/(-28). Calculate the highest common divisor of w and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*b)*(-1 + 1 + 2 + (0 - 2 + 0)*(5 + 2 - 5))*(129*b**3 - 4*b**4 - 129*b**3).\nAnswer: 24*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1379272 or -1379274?\nAnswer: -1379274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 717006.1 litres to millilitres.\nAnswer: 717006100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3247808 (base 9) to base 12.\nAnswer: 701608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*sqrt(99)*-3*5)\/(4*(sqrt(144) - sqrt(9)) - 4*sqrt(9)*1))**2.\nAnswer: 2475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -4. Let m = -8 + s. Suppose m*c = -c. Solve c = w - 2*w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 8 - -3 - 2. Calculate the highest common divisor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6*m = -9*m + 12, -5*m - 7 = -4*l. What is h in -1\/4*h**l + 1\/4*h**4 + 0 + 1\/4*h - 1\/4*h**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.41683 decades to years.\nAnswer: 414.1683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i = -39*i + 840. Suppose -39*s + 5 = -i*s. Which is the third biggest value? (a) s (b) 2\/21 (c) -3\/5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 27. Suppose 0 = -3*h + 4*j + 24, 3*h - 4*h + 3*j = -13. Solve 0 = h*p - d*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-6 - -5)) + (2 - -12 - 24)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b - 3*b - 2*b)*(-b - 2*b + 4*b)*(b - 6*b + 4*b)*(11 + 29 - 7)*(0*b + 5*b - 4*b) in the form f*b**4 + v*b + g*b**3 + m + y*b**2 and give f.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 50\/3)*3. Suppose -5*j + x + 1 = 0. Calculate the remainder when 34 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 172 = 2*u - 248, 0 = 4*u + 2*k - 824. Let m = 337 - u. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 18*m - 13. Let c be p(16). Let o be (6 - 20\/4)*c. Calculate the highest common divisor of 57 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11457 + 11457.0000000206. What is q rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2210*i. Let f(k) = 21*k. Give f(m(v)).\nAnswer: 46410*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 26.\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 81, 241, 559, 1089, 1885, 3001?\nAnswer: 4491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*m + 2280, 5*l - 3233 - 567 = 5*m. List the prime factors of l.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 6256201.\nAnswer: 6256201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 12:53 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 147*r**2 + 1424*r - 63. Give x(-10).\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-15)\/(-6)))\/(-15*(-22)\/715).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*80\/(-16)*(-10 - -1). Solve 51 = 3*k + l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -a8?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 11 - 27. Let s = 4 - b. Let r be -5 - 2 - (-63)\/(11 + -4). Solve 0 = -4*g + r*p + 3*p - 18, -2*g + 5*p - 14 = s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15451277.86 to the nearest 10000.\nAnswer: -15450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(171) + 5) + (4 + sqrt(304)*-1)**2.\nAnswer: -23*sqrt(19) + 335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8340*s - 5461*s + 273505 for s.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 + -44. Solve -15*z**2 + 4*z - 17*z**2 + g*z**5 - 31*z**5 + 60*z**3 - 51*z**5 + 32*z**4 = 0 for z.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 23 + 0 + (-3 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -5. Suppose g + 856 = -d*g. Is (-1 - -4 - g) + 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s - 344. What is the units digit of 2\/(-14) - s\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62999 - 1.1.\nAnswer: 62997.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 1. Calculate the remainder when 7 + (1 + -2)*g is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -264006282 divided by 6?\nAnswer: -44001047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/2))**(-20)*n**9\/((n**(-14)\/n)\/n) assuming n is positive.\nAnswer: n**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6967844 + 390186383\/56. Suppose 3*f + f + 920 = 0. Let g = f - o. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 8*(-18)\/48\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*n - 18. Suppose -n*d = -6*d + 56580. Round d to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-60)\/14)\/((-1)\/7). Calculate the greatest common factor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -746b?\nAnswer: 7471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 26*n**2 - 198*n - 30. Let z be a(7). Sort -3, 6, z.\nAnswer: z, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x**3 + 4*x**2 - 18*x**3 - 4*x**2.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 e when four letters picked without replacement from iffejfjefeiefie?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 92 = -4*a. Suppose -2*h + a = 2*y - 15, h - 4 = 4*y. Calculate the highest common divisor of 64 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -3, 4, -45, -5 in decreasing order.\nAnswer: 4, 2, -3, -4, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5786*l*r**3 + 201831262*l + 15933*r**3 with respect to r.\nAnswer: -17358*l*r**2 + 47799*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, -8, -3\/4, 1, -0.26?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w - 4*w + 3*w + 0*w. Determine f(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*a + 15 = -5*k, 4*k - 25 = a. Let s = 47 - 27. Suppose s = 4*r, 0 = -k*q - 6*r + r + 45. Solve -2*y = -q*y - 4, -5*y - 4 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**4\/20 + 63*g**3\/5 + 381*g**2\/10 + 191*g\/5 - 406. Factor s(z).\nAnswer: -(z - 191)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spseeppspet. What is prob of picking 1 s and 1 t?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*t**2 + 2*t**3 - 15134*t + 2*t**4 + 15134*t to o + q*t**2 + h*t**3 + c*t + r*t**4 and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -100 * 0.4\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -7 + 0*w + 0*w**2 + 2\/3*w**3. Let y(k) be the first derivative of -k**2\/2 + 14. Calculate t(y(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -1 + -7 + (8 - (-1 - 19))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1573) + sqrt(1573) + -1)*2)**2*5 + (3*sqrt(208) + 4)**2 + sqrt(208) + 1 + -5.\nAnswer: 100*sqrt(13) + 127724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 at most as big as 345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 415, 3255, 10905, 25759, 50211, 86655?\n\"Answer: 399*i**3 + 11*i**2 + 14*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030717216647 rounded to 4 dps?\nAnswer: 0.0307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1634499328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wgwwggggwwwdgwgwwgg?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 44*z - 367. Solve -2*q = -2*s - z, -6*q + 16 = -3*s - 2*q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 249*y - 2*y**3 + 1 + 250*y - 2 to the form u*y**2 + l*y + a*y**3 + w and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 1. Let h(n) = -n + 11. Let u(a) = -h(a) - 5*z(a). What is the derivative of u(d) wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -624 (base 10) in base 15?\nAnswer: -2b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q - 2. Let i(x) = -x**2 - 3*x + 1. Let f be i(-5). Let o(w) = 7*w - 4. Let h(c) = -c**2 - 21*c + 650. Let m be h(-38). Calculate f*b(l) + m*o(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.080579653867 and -6.\nAnswer: -5.919420346133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010101101111 - 101?\nAnswer: -10010101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.108 - -2.212. Let u = -1999.5 + 1997. Let c = k + u. What is c rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v - 4*v - v)*(0 - 2*v + 0)*(-1 + 0 + 2)*(4 - 1 - 8)*(36 - 41 + 42) to the form i + z*v + p*v**2 and give p.\nAnswer: -1850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2572341 is divided by 116889?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195264 + 18760 = 4545*v - 22316 for v.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a6540 (base 13) in base 11?\nAnswer: -886042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.2 + -3427075922.\nAnswer: -3427075912.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 3*q**2 + 5*q + 3. Let t be z(-3). Let v be (-4)\/(-22) - 252\/t. Suppose -3*b - 887 = -v*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-4)*n*n)\/(n*n**(-7))*(n\/(n**0*n))\/n*(n\/n**6)\/n)\/((n\/(n*n**(-2\/7)))\/n*(n*n**(-6\/7))\/n)**(-32) assuming n is positive.\nAnswer: n**(-359\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from buuuwuuuuuu.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 + 0*a**4 - 55*a**3 - 187*a + 31*a - 24*a - 179044*a**2 + 178864*a**2.\nAnswer: -5*a*(a + 2)*(a + 3)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(1*(2 + 0)). Factor 7*l**5 - l + 2*l**4 + 0*l - 6*l**5 + t*l**4 - 2*l**2.\nAnswer: l*(l - 1)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x**3 - 6*x**3 + 4*x**3.\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/36*15\/160*12*364\/39.\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63803.73 meters to nanometers.\nAnswer: 63803730000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*g**3 - 2354*g + 29*g**3 - 4*g**2 + 2353*g + g**4 - 41*g**3 to v*g**2 + b*g**4 + c*g + l*g**3 + u and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.600005524633889 + 211404445.399995775366111. Let n = 211404430 - g. Let w = 20 + n. What is w rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147839075 a multiple of 369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -19*p**3 + 10*p**2 - 10*p + 14. Let c(r) = -3*r**3 - 2*r**2 + 2*r - 1. Give -5*c(n) - d(n).\nAnswer: 34*n**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 9 - 1. Suppose -2*x + 4 = -y. Suppose -3*h - x = -6*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203.6306 centuries to years.\nAnswer: 20363.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2458938560 divided by -4\nAnswer: 614734640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -564\/7 - -80. What is the common denominator of a and 4\/29?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 871884255 to the power of 1\/2, to the nearest integer?\nAnswer: 29528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9492 + -4485. List the prime factors of d.\nAnswer: 3, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(3*(-2)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13\/5 + -99\/40. Let l = -47 + 48. What is the second smallest value in g, -3\/5, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 + 7*y. Let w(p) = p**2 - 2*p. Let x(l) = -l. Let t(h) = w(h) - 5*x(h). Let d(j) = -5*t(j) + 2*v(j). Suppose d(k) = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 146 and -2?\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 410294*u = -410289*u + 66, -8*j + 3*j + 2*u = -34 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 2 = -10*j. Suppose 8 = 4*g + 5*w, 0 = 4*g + 2*w - w - 24. Solve -t - 2*p = 2, -j = 4*t + 5*p + g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 8 - 70 = 73*q. Let l be 4\/6*(-46194)\/68. Let g = 453 + l. Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 10. Suppose 5*y + 2 - 12 = -h, -3*y + 3 = 0. Let v be (h + 15\/(-10))*(-4)\/q. Solve 2*o = 0, 5*i = 2*i - v*o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 7*l. Let o = -16 - -6. Let p = o + 24. Calculate the remainder when p is divided by b(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49 or 210400?\nAnswer: 210400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -17. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g**2 - 42*g - 21. What is u(6)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268597 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, i: 2}. What is prob of picking 4 f?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, 6, 5, -9\/20?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1805 = 5*m - 2550. What are the prime factors of m?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-57*v - 24*v + 116*v)*(0 - 1 + 0).\nAnswer: 35*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126153, 126060, 125967, 125874?\nAnswer: 125781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298, 585, 738, 763, 666?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/(-24)*(38\/5 - 4). Let s(m) = 2*m + 3. Let r(p) = 2*p + 3. Calculate h*s(z) - 5*r(z).\nAnswer: 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*r - 436*r - 3520 = 0 for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162 a factor of 27150298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1755 + -1245. Find the common denominator of (-6)\/(-80)*-2*1445\/m and 52\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*m + 77*m = -6*p + 24, -4*p + 2*m = -8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*h - 41*h**2 + 120*h - 364*h + 122*h.\nAnswer: -41*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -314862 * -5.\nAnswer: 1574310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 8:54 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.7, 14, -3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 2)*(-2)\/2. Let b(o) = -2 - 22*o + 3 - j. What is the smallest common multiple of 2 and b(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1766 + -1764. Let -2\/3 + 4\/9*i**3 + 2\/3*i**z - 4\/9*i = 0. Calculate i.\nAnswer: -3\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z. Let q(b) be the first derivative of b**2\/2 + 169*b - 23. What is h(q(j))?\nAnswer: -6*j - 1014","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 + 2*g**3 - 2*g**3 + (3*g**4 - 1 + 1)*(-4 - 2 + 5) to the form i*g**3 + f*g**4 + j + m*g**2 + v*g and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/2? (a) 2\/15 (b) -0.4 (c) -1\/4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 455 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -18 + 121*b**2 + 30 + 4 + 9 + 3*b. Let f(l) = 118*l**2 + 2*l + 24. Let g(m) = -2*d(m) + 3*f(m). What is the derivative of g(p) wrt p?\nAnswer: 224*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2572, 2577, 2582, 2587, 2592?\nAnswer: 2597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -23*f - 37 + 24 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**6*o - 366*f**5*o**2 + 2*f**2 + 330*f*o**2 wrt f?\nAnswer: -360*f**3*o - 21960*f**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137 or 143?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 165137173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98374 + 143537. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493*k - 301*k + 809*k.\nAnswer: 1001*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 20. Suppose n = -2*p + 23. Suppose 2 = -3*b + p. Solve -b*v = 4 - 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2 (b) 0.4 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, 3, 1, -4243.\nAnswer: -4243, 1, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 817 + -419. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -15852 (b) 1\/4 (c) 1\/2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.6 + 2.60000528. Round c to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**3\/7 + 2325*q**2 - 21801981*q\/7 - 737296659\/7 = 0.\nAnswer: -33, 2729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -0.6 (c) 0.3 (d) 3.23 (e) 80\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -35911323 divided by -1757?\nAnswer: 20439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2, 7\/5, 0.09, -46, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k + 25. Let j be f(-13). Let w be (-3)\/(-2 - j\/1). Solve w*x - 5*x + 6 = 0, -3*x - 3 = 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a second in milliseconds?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -29*y**2 + 25*y - 48. What is s(3)?\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuff when four letters picked without replacement from {u: 2, f: 11}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1512 - 376. Let k = 2887 - t. Suppose -2*j - 7*s + k = -6*s, 4397 = 5*j - 4*s. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53\/195 - -7\/30. What is the common denominator of -113\/18 and s?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1361*x + 1366*x + 28*y + 389 = 0, 5*x - y = -12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80300 and 297110.\nAnswer: 2971100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**3 + f**2 + 3*f + 3. Let d be g(-1). Let i be 304\/44 - 2\/d*4. Factor -140\/11*a**3 + 40\/11*a + i*a**4 + 8\/11 - 6\/11*a**2.\nAnswer: 2*(a - 1)**2*(7*a + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, s: 1, c: 1, o: 3, d: 1}. Give prob of picking 1 d, 1 j, and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 1:07 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 4:00 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 55044056 (base 8) to base 7\nAnswer: 202265641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-8 + 5 + -6 - 11).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by (768\/(-40) + -1)*-5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.20063 to one decimal place.\nAnswer: 79.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1 + sqrt(6912))*-6 + 3 + -4)**2.\nAnswer: 4032*sqrt(3) + 248884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*p + 3*j + 10, 3*j = 4*p - 74. Let s = p + -17. Determine f, given that 0*f + s + 1\/2*f**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 10, 3*f + 4*r = 6 - 10. What is the remainder when f\/4 + 152\/4 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 956 = 5*p + 2*i, -2*p - 4*i + 3*i = -383. Suppose 3*y - p = y. Suppose 4*b - 197 - y = 0. What are the prime factors of b?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (0 - -3))\/6. What is the second biggest value in 0.1, -0.2, x, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8938 and 2705.\nAnswer: -6233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**2 + r - 1. Let i be t(1). Let l(z) = -z**3 - 2*z**2 + z - 2. Let p(b) = -b**3 - 3*b**2 + 2*b - 3. Calculate i*l(q) + 2*p(q).\nAnswer: q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -9. Let x(z) = z**2 + 2*z - 40. Let j be x(d). Is -4 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((5*-1*sqrt(5))**2 + -3)*3 + 4.\nAnswer: 1834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 633\/((-71861958)\/52364) - 8\/(-18)?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 7.03?\nAnswer: 21.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(8\/14)*-52 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 - 6. Let z = i - 82. What is the nearest to -17 in 3, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 6*l - 29. Let w be a(-9). Let q be (-4)\/((-8)\/w) - (-4 - 3). Let m be q\/45 + (-365)\/(-75). Solve -4*b + 18 - 6 = 0, -m*b + 27 = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -10 + 5. Solve q*f - 8 = -28 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137451 - 21*t**2 + 137451.\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25400*c - 101536*c + 25406*c + 25327*c + 25398*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -2307\/160 and -13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, l: 1, o: 3, k: 3, s: 1, f: 2}. What is prob of picking 1 l, 1 k, and 1 r?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 83919.84 kilograms in milligrams?\nAnswer: 83919840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*b - 2*b - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**5 + 199*k**4 + 606*k**3 = 0.\nAnswer: -3, 0, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*i, 0*r + 4*i - 58 = -r. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 67485 and 552150?\nAnswer: 6073650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -302 + 121?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 782 divide 126594535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 650200 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 - 96*b**3 + 1314*b**2 - 4440*b + 3225.\nAnswer: -3*(b - 5)**2*(b - 1)*(b + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/60 + -1*(-5 - -5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81160, 81166, 81176, 81190, 81208, 81230?\nAnswer: 81256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73660 or 73742?\nAnswer: 73742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1108658, 2217297, 3325918, 4434521?\n\"Answer: -9*q**2 + 1108666*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-315)\/798*1235\/(-195)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 1000*s + 7 + 1 + 3 - 20.\nAnswer: -1000*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15287 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*n - 2*n - 23, -5 = 2*i + 3*n. Suppose 3*j + 14 = 6*h - h, 3*j - 14 = -i*h. Calculate the remainder when j is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3336, -12078, -26656, -47070, -73320?\n\"Answer: -2918*c**2 + 12*c - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**5 + 5*g**4 - 2*g**3 - 5920*g?\nAnswer: -60*g**3 + 60*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 918 and 863634.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*a + 2 = 68, 0 = s - a - 16. Let i = 13 - s. Is (-9)\/i*(-4)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 75 - 2?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*f - 56. Let k(a) = a**3 + 29*a**2 - 29*a + 35. Let u be k(-30). Suppose -f = u*h - 45. What is the greatest common factor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-3 + 16 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14239 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/9 + 28\/(4284\/85). Let g = -0.04 - -0.34. Which is the fourth smallest value? (a) -5\/4 (b) g (c) t (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.1397l to millilitres.\nAnswer: 81139.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-12 - 2) + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 10:47 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 6:49 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 267259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 6. Let d(g) = -9 + 5*g**2 - h*g**2 + 3*g - 13 + 17. Let a(o) = 2*o**2 + 2*o - 4. Let s be 7 + -9 + (-1 + 7 - 0). Determine s*d(y) - 5*a(y).\nAnswer: -2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*p + 21. Is (-6)\/9 + (-5687)\/p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 4114.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rccrcrcrrc. What is prob of picking 1 r and 2 c?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.1 from 0.18.\nAnswer: -2.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 3 + 14\/(-2). Let h = 521 - 525. Let d be f\/h + 338\/4 + -1. Calculate the highest common divisor of d and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 8 = 0, 4*a + 1095 = -r + 1099 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b - v - 1 = 0, b = v + 1. Suppose z - 7*z + 18246 = b. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 15*b + 20*b + 3 - 4. Let m be r(1). Suppose -2*x + 8 = 4*v - 24, -3*x = 4*v - m. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1322477537 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p - 8 = 0. Let v be -36*2*2\/p. Let s be 69 + 2 - (7 - 8). Calculate the highest common divisor of v and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 484 + -450. Let d = m + -34. Let c be (-2 - -16)\/2 + -1. Solve d = -2*v + c*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*-8*(-7)\/112. Let h = 62.2 - 62. Let i be 8\/42 + (-8)\/(-56). What is the nearest to w in i, h, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259871.787s in days?\nAnswer: 3.0077753125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 4. Let a be (x + -1)*(-1)\/(-2). What is the second derivative of 0*l + 3*l**3 - l + 0*l**3 - 5*l**a wrt l?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r - 59*r + 109*r**2 + 21*r + 22*r - 111*r**2 + 32*r.\nAnswer: -2*r**2 + 41*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -4\/21, -2\/13, 2 in descending order.\nAnswer: 2, 2\/9, -2\/13, -4\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 2*b**2 + 19*b - 33. Let v be m(6). Suppose -225 = -7*h - v. Solve -p + 2 + 0 = h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 923301?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**2 + 63*p - 240 = 0 for p.\nAnswer: 5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3605 - -4?\nAnswer: -3601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 6*m - 5. Let b be u(4). Let z be 24*b\/(-6)*-1. Suppose -33*p - z = -36*p. Solve -14 = 4*s + 2*n, -n + 2 = -p*s - 21 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16321 - 16322. What is the closest to -13 in z, -96\/11, -4\/3?\nAnswer: -96\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 + (-1045)\/(-114))\/(3 + 19\/(-6) + 0)\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/104)\/(2\/4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - 6.03. Let t = -4 - d. Let m = 14 - 13.6. Which is the third smallest value? (a) m (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-30)*(-25)\/(-15))\/(52\/(-312))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 15099.25.\nAnswer: 15094.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 6) to base 12.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10862\/13 - 836. Let y = 7 - 4. Which is smaller: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/30 and 31\/1144852.\nAnswer: 17172780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11774, -23560, -35356, -47168, -59002, -70864, -82760?\nAnswer: -94696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.9 + -55.1. Let n = -160 - v. Let g = n + 99.99999921. What is g rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1672959\nAnswer: 4\/1672959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -724\/126147?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9512277 divided by -3\nAnswer: 3170759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10 - 8) + (982 - 0). Let o = -984 + f. Factor -2\/3*s**2 + 0 + o*s - 1\/3*s**3 + 1\/3*s**4.\nAnswer: s**2*(s - 2)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3407.896 litres in millilitres?\nAnswer: 3407896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 5*c - 50 = 0, 67*p - 70*p + 3*c = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1823325 litres?\nAnswer: 182.3325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -3.7, 8, 0.4, -3\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/32)\/(2\/24). Suppose -n - 5 = 0, 0 = v*w - 0*n + 2*n + 10. Solve h = -w*h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 10*z + 7800 = 0. Is (z\/60)\/(26440\/(-13218) + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2. Let t(f) = f**2 + 363*f. Give t(a(z)).\nAnswer: z**4 + 363*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 148299 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2663\/2303 + 39\/47. What is the common denominator of k and -5\/497?\nAnswer: 3479","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**2 - 25*a + 7. Let v be j(-6). Let t = 30 - -9. What is the greatest common factor of v and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 4:23 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0154858883 rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9957 + -9956.99042. What is q rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 11*n. Let s(a) = -21*a. Give -7*k(z) - 4*s(z).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 0. Let z = 2 - -3. What is the smallest value in r, 0.5, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5799.829 centuries in millennia?\nAnswer: 579.9829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -31 - 2*j**3 + 0*j**2 + 1\/4*j**4 + 7*j. Let x be (-3 - -2)*1*-5. Give g(x).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81329491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -148.7472 to one dp.\nAnswer: -148.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 3*l + 2. Let v be m(0). Suppose 5*j + v = 27. Solve -10 = j*g - 7*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 604 (base 9) in base 12?\nAnswer: 34a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -41, -5, -5\/2, -0.02, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q - 22. Let y be x(-9). Let b = y + 6. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = g, -4*b - 24 = -2476*g + 2478*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n - 39*n + 1318119000 = 0. Round n to the nearest 100000.\nAnswer: 22300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 3 - 9\/(-15). What is the second smallest value in n, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 6:25 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:18 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -2a76a76?\nAnswer: -2a76a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -32. Find the third derivative of 19*v**6 + 0 + 0 - 18*v**6 + 13*v**k wrt v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/(-9) + (-13)\/5. Is m at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -108*f**2 + 2. Let m(h) = -31*h**2. What is a(m(i))?\nAnswer: -103788*i**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -36. Differentiate -3*j**3 + v - 4*j**2 + 9*j**3 + 4*j**2 with respect to j.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61864.9 years in centuries?\nAnswer: 618.649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2810589*x. Let z(h) = -2*h**2. What is z(a(v))?\nAnswer: -15798821053842*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(-1\/3))\/f)\/f**(-5\/2))\/(f**(6\/5)\/(f**(5\/4)\/f)))**(5\/3) assuming f is positive.\nAnswer: f**(113\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04247*0.006417.\nAnswer: 0.00027252999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*1 - 5*5*sqrt(5))**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38699851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*u**4 - 6104*u**3 - 648*u - 51 wrt u.\nAnswer: -96*u**2 - 36624*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27320 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8.76, 43, 2, 14, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by 1.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 15 + 17 - 4*s to o*s + j and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 16*o**3 - 3*o**2 + 1. Let n be x(2). Let j(s) = -s**3 - 8*s**2 + 7*s - 5. Let l be j(-9). Calculate the greatest common factor of l and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -108313 equal to -324940\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5902215996?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 187708?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*q + 14869, -2*r = 2*q - 20929 + 6065. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/11550 and -12\/1925.\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c - 305*c = 180*c + 21996 for c.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -607, -1932, -3975, -6736, -10215, -14412, -19327?\nAnswer: -24960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - o = 2*o - 1, -3*j + 2*o + 34 = 0. Let l be 45\/3*j\/6. Solve l = a + 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((5 + 2*sqrt(200))*-6 - (0 + 4*sqrt(200)*-1 + sqrt(200))))**2.\nAnswer: 5220*sqrt(2) + 17041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*t**2 - 1 + 71762*t**3 - 71762*t**3 + 46*t**4 wrt t?\nAnswer: 1104*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10489215 divided by 2097843\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -20711.\nAnswer: -20710.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1156\/7514)\/(3\/(-39))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**4\/4 - o**3 + 2*o - 2. Let v(n) = -5*n**2 - 242*n**3 + 241*n**3 - 15*n + 14*n + 3. Determine 5*m(f) - 3*v(f).\nAnswer: -2*f**3 + 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2335 + 7705 = 29*x - 5968. Suppose -3*c + 157 = 19. What is the highest common factor of c and x?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - -67.8. Let n = 68536.7508 + -68603.7508082. Let g = j + n. Round g to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9200818 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.995*1.902\nAnswer: -1.89249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 841544 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420031 to the power of 1\/2, to the nearest integer?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**3\/6 - 3*n. Let r(x) = 21*x + 11. Let p = 7 + -1. Let o(l) = 10*l + 6. Let w(u) = p*r(u) - 11*o(u). Give w(h(y)).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 190.46 - 192. Let n = -1.3 - z. Let i = 0.24135 - n. Round i to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 172 - 170. Let l(w) = -w + 4. Give l(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 329322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 0*h = 3752. Suppose -1 = -5*m + h. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - l + 4 + 3*l + 11 - 11 - 2*l + 2*l + l + (-2 + 5 - 1)*(l + l - l) + 2*l + 0 + 0 as k + p*l and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.337 - -2.137. Is -55\/3 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27\/4 of a kilometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/38267 or 1\/2?\nAnswer: -24\/38267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 46, 1, -1, 0, 8.\nAnswer: -2, -1, 0, 1, 4, 8, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -81348725 + 0.01\nAnswer: -81348724.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j - 3. Let v(i) = 4*i + 7. Suppose 565 - 535 = -6*u. What is u*g(p) - 2*v(p)?\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 29995*g + 119996.\nAnswer: -(g - 29999)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + d + 1. Let j(k) = -14*k**2 - 13*k - 3. Let h(y) = 6*y + 8*y**2 - 3 - y**2 + 5. Let g(f) = 5*h(f) + 2*j(f). Calculate -g(b) + 4*q(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/50)\/((-2)\/(-20))*6\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -79287*z**2 - 749. Let b(g) = 424*g**2 + 4. Determine -749*b(f) - 4*y(f).\nAnswer: -428*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 91055, -9, -5 in increasing order.\nAnswer: -9, -5, 91055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrhhrhhhrhrhhhhr. What is prob of picking 1 h and 1 r?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*w = -4851 + 5071. Let 0*d + 0*d**2 + 5*d**3 + 2*d**4 + 0 + 1\/5*d**w = 0. What is d?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81299.02 litres?\nAnswer: 81299020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**3\/6 + c. Let y be z(4). Let g = y - -1. What is the smallest value in 1\/3, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 301, 374, 243, -92, -631, -1374, -2321?\n\"Answer: -102*z**2 + 379*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 n when four letters picked without replacement from rwnnnrn.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*q - 145, 0 = q - 5*q - 4. Let n(u) = 2*u**2 + u + 2. What is the remainder when t is divided by n(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3765*12347\nAnswer: 46486455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 24313 (b) -7\/20 (c) -0.02 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from {q: 1, n: 1, c: 1, j: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363*x**2 - 16128 + 16128.\nAnswer: -363*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3502*v**2 - 58*v**3 - 1779*v**2 - 1683*v**2 + 2*v in the form z*v**2 + g*v + b*v**3 + q and give b.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -133, -215, -373, -631?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 - -66. Calculate the greatest common factor of 77 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16*((-2)\/8 + 0). Let j(l) = 2*l**2 + 11*l + 5. Let w(o) = -o**2 - 11*o - 4. Calculate c*w(a) - 3*j(a).\nAnswer: -2*a**2 + 11*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -935*u - 2172*u + 248*u = 325*u + 219696 for u.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4 + 8*b + 7 + b**2 + 5 = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 6690 - 3*h + 1516 + 2*h**2 + 204.\nAnswer: 2*h**2 + 8410","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 1:17 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -15, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9205454 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/10 + 72\/15. Let r be (-54)\/(-10) + (-2)\/f. Suppose r*x = 5 + 15. Solve -5*y + x*y - 4 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -13*h**3 - h**2 + 3*h - 1. Let n be s(1). Let b = -8 - n. Let r(q) = -2*q**2 + 7*q - 5. Determine r(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, i: 1, d: 2}. Give prob of picking 1 i and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2*1 - -4) + -2. Let d = 46 - 22. Suppose -6*i + 42 - d = 0. Solve -2*v + 3 + 9 = -i*u, z = -u + 5*v - 17 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t - 15*t - 96 = 32*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -312.9387 + -0.0613. Let k = t - -312.99999393. What is k rounded to 7 decimal places?\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.66 - 0.85. What is u rounded to 1 dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 200320162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28, 47, 60, 67, 68?\n\"Answer: -3*h**2 + 28*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-2) + (55\/10 - -1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 38*q**3 - 6*q**2 - 10*q + 9. Let h(n) = 19*n**3 - 3*n**2 - 5*n + 4. Determine -9*h(b) + 4*i(b).\nAnswer: -19*b**3 + 3*b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 2. Let q = -27 - -20. Let y be h(q). Let u(t) = -t**3 + 4*t**2 + 3*t + 7. Let z be u(y). Let m(d) = 2*d**3 + 4*d**2 - d - 1. Give m(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/((35\/15)\/(-7)). Let z = n + 63. Suppose 5*h + 1 - 6 = z. Solve -1 = -p - f - f, f + h = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-27)*6*(11856\/(-32))\/39?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -19, 1595, -2\/17, 5, -2\/3, 0.1?\nAnswer: 1595","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10869 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*s - 2*c - 10, 4*c + 12 = s. Suppose -o = -s*o + 6. Factor -2\/3*q + 4\/3 - 2\/3*q**o.\nAnswer: -2*(q - 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*1\/(-3)*-3. Let h be (-29)\/((-87)\/(-360))*6\/15. Let b be (-8 - 348\/h) + 50\/24. Put 1\/4, -0.3, b, x in descending order.\nAnswer: x, b, 1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*((-102)\/12)\/(-17)*-4\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2315 = 20*t + 81*t + 122*t + 1699 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + 1*((1*((sqrt(228) - sqrt(228)*2) + sqrt(228))\/sqrt(12))**2 + (sqrt(228)\/((sqrt(12) + sqrt(108))*2))**2)).\nAnswer: 147\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -8*p + 7*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -508 + 479. Let h(x) = -2*x**2 - 4*x + 5. Let u be h(-5). Let a = u - f. Solve -26 = 2*j + z + 4*z, 4*j - 4 = a*z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k = -31*k + 6720. What is the greatest common divisor of 576 and k?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 7. Suppose -10 = -0*i - 2*i. Let y be z(i). Suppose 3*x + 3 = -3. Put x, y, 3 in increasing order.\nAnswer: x, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by -3\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -42\/1630061 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 827538 - 6?\nAnswer: 827532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - y - 2. Let d(u) = 5*u**2 + 3*u - 3. Let a(p) = -d(p) - 4*g(p). Let j = -1 + 1. What is a(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*f - 443 + 487 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.8, -3, 1, -1.48, 0.4, 0.2 in decreasing order.\nAnswer: 1, 0.4, 0.2, -1.48, -1.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b. Let n(t) = t**2 + 30*t - 1320. What is n(l(y))?\nAnswer: 16*y**2 + 120*y - 1320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -15. Let p = -2 - 4. Let k = -2 - p. Put 0.2, k, h in ascending order.\nAnswer: h, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1257450*i**4 + 66183*i wrt i.\nAnswer: -15089400*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-3 + -2 + 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 76, 152, 268, 418, 596?\n\"Answer: -o**3 + 26*o**2 + 5*o + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.285 + -0.285. Let z = -1.6 + 2.1. What is the second biggest value in s, z, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 3*y**2 + y + 2. Calculate j(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.72 > -306\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*k + 2140 + 10246 = -13165 for k.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-12 - -18) - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(68) + sqrt(68))**2*-1 + (2 + sqrt(68)*2 + 1*sqrt(68) + -1)**2 + 5.\nAnswer: -1068 + 156*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0801 + -667.9199. Let j = c - -667.999206. What is j rounded to five dps?\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 1*6\/9 - (19 + (-1640)\/60).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15 + 2 + 2 + -1. Let z = n + -8. Let y(b) = b - 7. Let p be y(z). Let m(t) = -t**3 + 3*t**2 - 2*t + 4. What is m(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -72.054 and -2494216.\nAnswer: -2494288.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55.6 + -57. Let p = -30.6 - -15. Let u = p + 16. Which is the second smallest value? (a) u (b) -2\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 7, 1206, 0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41220 rounded to the nearest one thousand?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-28))\/(5\/(-35))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 586, 1132, 2042, 3316?\n\"Answer: 182*i**2 + 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.1 * 11.3.\nAnswer: -46.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f - 2*f + 5*f + 2*f. Let m(k) = 3*k**2. Calculate m(y(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*s)*(559*s**2 + 87*s**3 - 559*s**2) to k + n*s + m*s**2 + t*s**3 + r*s**4 and give r.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or 3?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 q, and 1 r when three letters picked without replacement from {e: 1, q: 1, r: 1, m: 1, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2384336584 rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 19.11015 millilitres?\nAnswer: 0.01911015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -163*s**4 + 2*s**2 - 596*s wrt s?\nAnswer: -1956*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 67, 111, 241, 499, 927, 1567?\n\"Answer: 7*t**3 + t**2 - 8*t + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + -1 - 1*15. Let x(k) = -23*k + 39. Let n(a) = 8*a - 13. Let z(i) = r*n(i) - 6*x(i). What is the units digit of z(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dduhsddheeuuhubde. What is prob of sequence uude?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15859 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -5) + 25\/(375\/240).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 38, -4, -3, 0.024?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((2 + -1)*3)\/2. Let g = 10\/2533 + -56556\/210239. Let v = g - 205\/166. Which is the third smallest value? (a) -4\/3 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -725\/108 - -27\/4. Let y = -29\/54 + h. Let n be ((-420)\/51)\/2 - -4. Which is the nearest to y? (a) 0.1 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 103218567 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*(1332179\/(-38064) - -35).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - -11234?\nAnswer: 11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 p, 1 q, and 1 e when four letters picked without replacement from qqqpqppqwpe.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 30973*h - 30979*h + 61956*h. Calculate f(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5968 is divided by 1963.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15779299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 545 and 2727289.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -22*c**3 - 2*c**2 - 2*c + 1. Let j be h(-1). Let a be -26 + j + (-3)\/(-1). Solve a = -4*t + t + 4*f + 3, 3 = 3*t - f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9974 - 10067.02. Let o = 18 + 74. Let s = o + v. What is s rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and -1.9.\nAnswer: -34.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.5 (c) 8\/161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 339 - 466. Which is bigger: -126 or o?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 2. Suppose 3*r + 7*a = 3*a - 38, -4*r = -3*a + 9. Let s(l) = 2*l + 14. Let w be s(r). Sort -4, w, b in ascending order.\nAnswer: b, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 - -2 - 8\/(-2). Are o and -16\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1625, -3315, -5003, -6689?\n\"Answer: q**2 - 1693*q + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -609 divided by 609?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.80318 + 0.78317996. Let l = -62.98 + 63. Let y = i + l. Round y to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1363059, 1\/5, -1.7 in increasing order.\nAnswer: -1.7, 1\/5, 1363059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 97 = -3*q, 5*q - 5*z = q + 144. Suppose -r - 30 = -q. Let a(s) = 5*s**2 - s. What is a(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*q + 600 = 105 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-4)*3*4\/70. What is the second smallest value in 1, o, 144?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 8:41 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/6 - (-46 + 43)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684009 is divided by 102.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 204128579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69617, 139239, 208859, 278477?\nAnswer: 348093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23170?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -0 - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 + -3 + 4)\/(2 + -3). Suppose 4*f + u = w - 12, -f = -1. Find the first derivative of 24*m - 24*m + 15*m + 54 - w wrt m.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 31. Suppose -9*v - 18 = -45. Which is the third biggest value? (a) v (b) 7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6480*m**3 + 95377*m**3 + 23265*m**3 + 86007*m**3.\nAnswer: 198169*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22\/26 + 6\/39 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*(-1 + sqrt(18) + 0 + 1)**2 - (sqrt(1936)*-3 + sqrt(16))\/(sqrt(96)\/(sqrt(192) - sqrt(12)))).\nAnswer: -576*sqrt(2) - 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1466795 is divided by 80.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 3*w**2\/2 + w + 3. Determine j(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a microsecond in nanoseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + x + 0*x)*(-2*x**2 + x**2 + 4*x**2 - x).\nAnswer: -3*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 4*q + 3. Let z be b(6). Let t be (1 + -2)\/((-3)\/z). Let f(a) = -2*a**3 + 3*a - 4. Does 17 divide f(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 28228609, 56457216, 84685825, 112914436, 141143049?\n\"Answer: q**2 + 28228604*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 10, 22*z + 2*s + 15 = 23*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253 and 123211?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000914568998 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(11) + sqrt(33)\/sqrt(3)) + sqrt(11) + -6*(-1 + sqrt(11)))**2 + (sqrt(1584) - ((1*sqrt(1584))**2 - sqrt(1584))) + 1.\nAnswer: -1448 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 258*j + 126*j - 38 = -133*j - 69, y = -j - 15 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-84))\/((-52)\/182).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2189 = -96*c - 1421 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 9) to base 12.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(21)\/sqrt(28)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 12, u: 6}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from njjjejnnllneljljnjl.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 1:26 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 755658192?\nAnswer: 2, 3, 23, 684473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 18, 164*n + 18 = 3*t + 162*n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -76 + 29 + 704*t - 61 - 706*t in the form y*t + q and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t**2 + 15*t**2 + 10*t**2 + 10*t - 40*t**2 + 5*t**2.\nAnswer: 3*t**2 + 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6 + (-46)\/(-60). Suppose 3*g = -13*z + 9*z - 7, -4*z = -g + 3. Which is the second biggest value? (a) -1\/4 (b) z (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 (base 7) in base 12?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + n + 3. Let u(m) be the third derivative of -m**5\/15 - m**4\/24 - 5*m**3\/6 + 3*m**2. Calculate 5*i(c) + 3*u(c).\nAnswer: -2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1453096 (c) 4 (d) 0.04 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 5, 7, -150, 3\/4, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 times -194759?\nAnswer: 31161.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (1 - 20)) + -15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 5*s**3\/12 + 19*s**2\/4 - 4*s - 189. Determine l, given that n(l) = 0.\nAnswer: -8, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1692884?\nAnswer: 2, 423221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/38 + 2673\/76. Is m > 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6650 and 190575?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 6 = 15. Suppose -r*m - 4*g + 14 = -2*g, -m + g = 2. Let i be (m\/(-7))\/(10\/(-70)). Solve 2*d + 5 = -2*s - 3*s, 2*d + 8 = -i*s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402554486 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: Is 51749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23678, 24153, 24626, 25097, 25566, 26033?\n\"Answer: -c**2 + 478*c + 23201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -369 - -649. Let z be n\/(-6)*(-96)\/40. Suppose 0 = 5*k - 3*o - 156, 3*k = -k - 4*o + z. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9368*c - 18746*c = -8*j - 9374*c - 60, 5*j + c + 34 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 4 (c) 2\/11 (d) -0.22 (e) 0 (f) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14241 take away -4?\nAnswer: 14245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 12*z + 24. Let c(j) = -11*j - 25. Let w(x) = -4*c(x) - 5*r(x). What is the units digit of w(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14960 or 29?\nAnswer: -14960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*l - 162*l - 1660*l - 1 - 3515*l + 1.\nAnswer: -5567*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 346202?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -96. Suppose -19 = -4*z - 2*g + 19, 5*g + f = 4*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 532967786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/7, -0.3, 0.1, -0.06607, 2\/11, -1\/2, -0.01?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2*1))\/(13\/(-13)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 23*l**2 + 990*l - 1. What is h(-45)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/2481 and -53\/150063?\nAnswer: 124102101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 7*m = -144, 3*x + 3*m - 9865 = -9829 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5 = 0, 0 = -3*t + 5*q + 5 - 48. Let y be ((-9)\/t + -2)*-2. Let l be -1 - 2\/(y*-2). Solve l = -2*o - 2*v - 6, -4*o + 7*o + v = 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*p - 2*c + 4393, -p + 4*c + 1461 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31183687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (0 + 8\/(-2)). Let d be (-20)\/(-15)*6\/y. Suppose 5*n + 2 - 7 = -3*g, -d*n = 2*g - 6. Solve -4*u = g - 21 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 0 + 16*f - 2\/3*f**3 + 1\/20*f**5 + 5\/12*f**4 + 11\/2*f**2. Give r(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-2)\/(32\/(-12)) - 1). Suppose 2*f = -3*f + d + 107, -s*f = 4*d - 76. Let m = -15 + f. Solve 5*h = i + 28, -i = i + m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p - 2. Let w be (-46)\/(-12) - 2 - 1. Is p smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 + 28*u**2 - 12*u - 2. What is the units digit of i(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30137341369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**3*l*s + 2*d**3*l + 565*d**3*s + 2*d**2*l - 233*l*s wrt d.\nAnswer: 12*l*s + 12*l + 3390*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -318 (base 9) to base 3\nAnswer: -100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 640571744 less than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14079 is divided by 176?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 5:12 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l - 2*l - 2*l)*((-5 + 3 + 0)*(1 - 5 - 4) + 2 + 4 - 4 + 3 + 2 - 6) to the form j + s*l and give s.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1562, -6281, -14146, -25157, -39314, -56617?\nAnswer: -77066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzb when three letters picked without replacement from {z: 2, r: 4, b: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o + 20 - 6 - 20. Suppose 17*m + 29 = -22. Let h(n) = -4*n + 5. Calculate m*h(x) - 2*s(x).\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14774 - -14776. Solve 0 = y*s + 3 - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 52 = -64, -4*t - 1 = p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 16 = -z. Let o be (-1 - 1)\/(z\/12). What is the units digit of o + (1 - -1 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.46 rounded to zero dps?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20371\/(-548756) + (-6)\/(-183). Is 0 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - i = 1, -5*d + d = 3*i - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*l**5\/5 + 1984*l**4\/5 + 3544*l**3\/5 - 2144*l**2 - 3840*l = 0 for l.\nAnswer: -2, 0, 40\/17, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81\/7 + -85\/7. What is the nearest to 2\/9 in q, 0.002, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -634, -588, -542, -496, -450?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -222223 (base 4) to base 8\nAnswer: -5253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (15015\/2366)\/((-105)\/(-1820))?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1.049800798?\nAnswer: -2.950199202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 724 + -724. Let g be (2\/6*9 - 4) + 3. Which is the biggest value? (a) -2 (b) g (c) -0.1 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 4*r**2 + 4*r + 7. Let a = -34 - -29. Determine y(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10884.\nAnswer: 2, 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**5\/2 + 749*c**4 + 7473*c**3\/2 + 5974*c**2 + 2986*c = 0?\nAnswer: -1493, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1656 and 526404?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -530*f**2 + 3*f. Let j(w) = 378952*w**2 - 2144*w. Calculate -3*j(k) - 2144*m(k).\nAnswer: -536*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = -8 + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*m - 138, 3*k + 3*m + 385 - 871 = 0. What is the remainder when k is divided by 36?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 2)*(0*x - 2*x + x) + (-2*x + 5 - 5)*(-2 + 3 - 3) to m + w*x and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-298)\/96)\/((-91)\/182) and -9\/1280?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2231*c - 14736 = -2563*c + 6512 for c.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06136 - 0.89456. Round y to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**2\/3 + 1513*z\/3 - 1010 = 0.\nAnswer: -1515, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 7884\/989 and 7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 13103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**1)**(-43)*y**(-4\/11)*y**(4\/15) assuming y is positive.\nAnswer: y**(-16\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -303557 rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**7\/840 - y**4\/12 - 2*y**3\/3 - 2*y. Let u(c) be the second derivative of t(c). Differentiate u(h) with respect to h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**0)\/h*h*h*h**(-4))**(-4\/29) assuming h is positive.\nAnswer: h**(8\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4) + (-20)\/(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 + 60.3. Let a = 670.3 - 672. Let k = a + u. Sort -4, -2, 1\/5, k in increasing order.\nAnswer: -4, -2, 1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2085*j + 0 + 72*j**2 + 0 - 2101*j wrt j.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*c + 15 = -6, -3*c = -2*x - 33. Let t be (x\/5)\/(405\/(-50) - -6). What is the fourth smallest value in -1, t, -1\/6, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b - 1. Determine p(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1013852 and -119\/2172540.\nAnswer: 15207780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q + 30*q + 7760 = 0. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12207 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**2*i**2 + g**2 + 2*g*i**3 + 162*g*i - 4*i**2 wrt i.\nAnswer: -2*g**2 + 12*g*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10964.006479 - 10964. Round p to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1142120 + -413232?\nAnswer: -2110402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -49, -394, -1017, -1906, -3049, -4434?\n\"Answer: 2*r**3 - 151*r**2 + 94*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -206*a**3 - 72414*a**2 + 34800*a + 107008 = 0. Calculate a.\nAnswer: -352, -1, 152\/103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 16626?\nAnswer: 116382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04584 less than -4698852225?\nAnswer: -4698852225.04584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*u + 5770 = 1826, 3*a - 5918 = -2*u. What are the prime factors of a?\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 93.06263s?\nAnswer: 93062630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 22 (b) 0.2 (c) 1\/85 (d) 1\/3 (e) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9528, 4, -277 in ascending order.\nAnswer: -277, 4, 9528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(5*n - 2*n - 2*n)*(-2 - 4*n**3 + 2).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2.861 - -63299000\nAnswer: 63298997.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5080942921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19600753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*b + 67*b = 30. Let k = -20 - 10. Let m = 19 + k. What is the biggest value in m, b, -5\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 388 + 454. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 18*v**2 - 18*v + 12. Let h be q(17). What is the tens digit of (-3152)\/(-80) + (-3)\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**(2\/29)*k))**(1\/2) assuming k is positive.\nAnswer: k**(27\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.271 + -1.141. Sort -0.03, q, 2\/13 in increasing order.\nAnswer: -0.03, q, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 7*k - 8. Let d(r) = 96*r + 6*r**k - 96*r. Let c(s) be the second derivative of -s**3\/3 + s. Determine c(d(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 8*m - m + 6*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 432, -2, 2, -1, -16 in decreasing order.\nAnswer: 432, 2, 0, -1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*o + 104 = 43*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 67626 and 46308?\nAnswer: 30702204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**3 - 477*m**2 + 26328*m + 54540 = 0.\nAnswer: -202, -2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 8*f**2 - 7*f. Let y be s(7). Suppose 1 = -q - 5*r, 2*q = -q - 5*r - 3. Which is the nearest to y? (a) q (b) 1\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -h - 14. Let x be (-7)\/21 + h\/(-3). Which is greater: x or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 245143040 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 36*t**2 - 161*t + 40. Let c be g(40). Solve -k - 3*v - 5 = c, 3*v = 5*k + 18 - 11 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9, 5, 85, 267, 587?\n\"Answer: 6*x**3 - 3*x**2 - 19*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23, 173, 333, 509, 707, 933?\n\"Answer: h**3 - h**2 + 146*h - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 e when four letters picked without replacement from rrelcrrcea.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 470*d + 1945. Calculate q(-6).\nAnswer: -875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + (sqrt(1872) - (2 + sqrt(1872) - sqrt(1872))*-3 - sqrt(1872)))**2 + sqrt(104)\/(-4*sqrt(50) + sqrt(50) - sqrt(50)).\nAnswer: 1439*sqrt(13)\/10 + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from {m: 3, b: 11, a: 1, d: 2, g: 2}.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 22*b**3 - 1407*b**2 - 19*b + 53. What is the remainder when z(64) is divided by 60?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.26, -4, 1\/2, 0, 2\/3, -0.3, -1.225?\nAnswer: -1.225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -82. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 1062?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -19, -417, -98 in increasing order.\nAnswer: -417, -98, -19, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/6))**19\/(q*q\/q**3)**(12\/11))**19 assuming q is positive.\nAnswer: q**(21223\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**2 + 6232*l - 24992 = 0. What is l?\nAnswer: -1562, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e74 - b6b?\nAnswer: -1ae0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(22) - sqrt(88)\/sqrt(4)))\/(sqrt(8)*-1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/6)*n*n*n*n*n**(-10)*(n*n**(-2\/3)*n)**(-49))**(-1\/44) assuming n is positive.\nAnswer: n**(13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f + 8. Let o be r(-4). Let v = -59 + o. Let h = v + 16. Put -2, 2, h in descending order.\nAnswer: 2, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -2)\/(4\/6). Suppose j = x + 9. Calculate the greatest common divisor of j and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m - 4*m - 124 + 115 + m**2. Determine x(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from lhqlht?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-12 - (3 - 7 - 2))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**2. Let y(u) = -11*u - 7. Let n be (-1)\/(-2) - 4*91\/56. Let b(q) = 11*q + 6. Let o(z) = n*y(z) - 7*b(z). Calculate t(o(d)).\nAnswer: -484*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**2 + 5*h**2 + 2*h**2. Let w(d) = -12*d. Give w(s(n)).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2402810 and 18535.\nAnswer: 1685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + -133 - (16 - 78).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48735.73m in kilometers?\nAnswer: 48.73573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116384, -465545, -1047480, -1862189?\nAnswer: -2909672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 26 = 4. What is the remainder when (64\/6)\/(1\/3) is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/10 of a meter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -16*u - 17. Solve -3*v - 15 + u = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 10*v + 140. Suppose 5*c + 5*o - 30 = 0, 4*c + 6*o = o + v. Solve 3*w - 17 = 2*k, c*k - k = -5*w + 24 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 58. Suppose b = t + 4*m, 2*t + 0*m + 4*m = 48. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqevicdc. What is prob of sequence ddvc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/2 - 3294*d - 6589\/2.\nAnswer: (d - 6589)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 272 = 104. Let u = r + -306. Let n = 259 + u. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/((-72)\/(-30)))\/(2 + (-110)\/60). Calculate the greatest common factor of r and 8590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 8. Is (9\/s)\/((-3)\/60) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*d - 2851 = 0, 2525 = 4*h - d - 1307. What is the third smallest value in h, 2\/9, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 267053363?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1628 + (-1 - -2) + 1. Let w be (v\/9)\/(4\/(-6)). Suppose -a + 90 = b, b = -3*a - 3*b + w. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 24252403 divided by 1\nAnswer: 24252403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + (-45 - -39)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2)*z)\/z**(25\/2))**(-2\/123) assuming z is positive.\nAnswer: z**(25\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 1, v: 2, f: 1}. Give prob of sequence af.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62\/65 - 14812\/15665. Let g = -7001\/1446 + l. Is -4 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 18*j**2 - 18*j + 2. Let t be q(17). What is the tens digit of 64\/48 + (-11170)\/t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by 699334\nAnswer: -39\/349667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 10. Let a be i(5). Suppose -5*t + 51 = -4*l, 0*l + 57 = a*t + 2*l. Suppose -2*s = -t - 15. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221038.56 months to decades.\nAnswer: 1841.988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 61, 73?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -807\/8 or -1787.6?\nAnswer: -1787.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 390, 1045, 2000, 3249, 4786, 6605?\nAnswer: 8700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187 by 12.\nAnswer: 187\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*p + 25 = 0, 5*q - 9 = 9*p - 13*p. Solve -q*k = -8*k - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 - 66*w + 4052*w**3 - 54*w - 4*w**2 + 121*w.\nAnswer: 4052*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66168.4 - -74170. What is h rounded to the nearest 100?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 11:32 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 9*w**2 + 6*w - 9. Let n be ((-32)\/6)\/4*6. Let l be t(n). Let i = l - 10. Which is smaller: -4\/7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/26, 2\/9, 1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w - 3*w - 2*w)*(w**3 - w + w) + (-18*w + 19 - 19)*(-w**3 - 6*w**2 + 6*w**2).\nAnswer: 19*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 24*p + 2 = 21*p, 5*p + 7 = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-9)\/(-3)) + -3. Let q(l) be the first derivative of l**5\/24 + l**4\/8 + l**3\/3 + 4. Let r(s) be the third derivative of q(s). What is r(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*u = -4*n + 152, -3*n + u = -124. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -29.\nAnswer: 11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/40)\/(30\/160).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 5*c + 9. Suppose 2*i + 14 = -0*i. Let k be g(i). Is k > -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-2*(-18)\/792)\/(3\/18))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 52 - -739066?\nAnswer: 7390b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = 15 + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -29. Let a be (2\/o)\/((-6)\/9). Let m be (-10)\/(-26)*(-18)\/45. Sort -5, m, a in descending order.\nAnswer: a, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**5 - 1239*c**4 - 45873*c**3 - 413661*c**2 + 557508*c + 926532 = 0. What is c?\nAnswer: -373, -23, -18, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwwb when four letters picked without replacement from wwwwwwbbwbbwww.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - -1*sqrt(153))\/sqrt(9) - (sqrt(17) - sqrt(170)\/(sqrt(1210) + sqrt(10)))**2) + 4.\nAnswer: -1481\/144 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**4\/2 + 57255*y**3\/2 - 82012235*y**2\/2 + 163852725*y\/2 - 40948870 = 0. Calculate y.\nAnswer: 1, 1676, 9773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dud when three letters picked without replacement from dddudu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7706 + 1713. Let c = 10902 + o. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -5. Let o = 3.1 - 3.1. Let m = 0.1 - 0.3. Which is the nearest to 2? (a) o (b) h (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*g**3 + 23*g**2?\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 4*v - 5. Let d = 9 + -4. Suppose 4*x + 1 = d*l - 15, 3*l - 5*x = 7. Suppose -j = 4*z - 16, z - 21 = l*j - 0. Give n(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 4:42 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 202111 (base 3) in base 4?\nAnswer: 20221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1)*u*u*u**6*(u**(-1\/3))**33 assuming u is positive.\nAnswer: u**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.9 + -1.9. Let w = -9.5 + 9. What is the second biggest value in -2, w, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 11256?\nAnswer: -4502.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 10, -5*b + 21 = 3*i + 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -39 (b) 0.3 (c) 29\/18 (d) -2\/5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 7*b - 8. Let v(w) = -w**3 - 12*w**2 + 542*w - 44. Let r be v(18). Let m(p) = -2*p + 3. Calculate r*m(x) - 3*f(x).\nAnswer: -3*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -3\/2 (b) 0.5 (c) -0.4 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142485, 142526, 142595, 142692?\nAnswer: 142817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**9\/c)\/(c*c\/(c*(c\/(c*c\/c**(-1\/17)))\/c)*c))\/(c*c**(-15)\/c*c*c**(-1\/16)) assuming c is positive.\nAnswer: c**(4897\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -76.38213 (b) 0.07 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -169272 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*c - 71 + 194 = 0, 77 = 3*g - 2*c. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 5*l**2 - 7*l - 4. Let f be n(-4). Suppose -4 = -5*g + 4*k, 3*g - 3*k + f = 2*k. Suppose 0 = p - g. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -229 + 112 + 117 - 580*o + (-1 + o + 1)*(0 - 1 - 1) to f + c*o and give c.\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 4*t. Let g = -23 - -36. Suppose -g*k = -8*k - 20. Let c be j(k). Is 3\/4 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i - 10. Let x(p) = 2*p - 5. Let j be (-43)\/5 - (-1 - 35\/(-25)). Let n(v) = j*x(v) + 4*k(v). What is n(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*20.6.\nAnswer: -1.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**5\/120 + a**3\/12 - 44*a**2 + 87*a. Let u(y) be the first derivative of n(y). Let u(z) = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 69*o + 65*o + 135 = 0, f = 149*o - 151*o + 85 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2, 5*i - 2*n = -0*i + 61. Suppose 2*u - v - 7 - 5 = 0, -3*u - v = -i. Suppose -3 = -5*j - h, j + 3*h - u = 4. Which is bigger: 1\/3 or j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, a: 2, k: 2, q: 1, i: 2}. What is prob of sequence qak?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4743 and 12523473?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 2*z + 0*z - 127*z**2 + 8*z.\nAnswer: -127*z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.75543 times 212?\nAnswer: -160.15116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421136.9 minus 48?\nAnswer: 2421088.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005049 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15100711*p**3 + 6*p**2 - 8*p - 119871 wrt p?\nAnswer: 90604266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8342, 16596, 24850?\n\"Answer: 8254*v + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -9. Let a = 3 + t. Suppose -6*x + 451 = a*x. What are the prime factors of x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 34*c**2 - 75*c + 341. What is j(32)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 6*t - 4. Let l = -4 - -23. Suppose -2*a + 5 = 3*x, 0 = -4*x + 1 + l. Calculate d(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y**3 + 667*y**2 - 1515*y**2 + 848*y**2.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + (sqrt(130) + sqrt(130)*-3 - sqrt(130) - sqrt(130)))*6)\/(-2*(sqrt(10) + sqrt(10)*-1 - sqrt(10)) - sqrt(10)).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 13842026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -72 + 7*u - 5*u**2 + u**3 + 39 + 24. Let x be w(4). Solve -5*o + 17 = -9*o + l, 17 = -x*o + 5*l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 40. What is the least common multiple of y and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*t + 40 = 0, -3*i - t + 95 = -8*i. Is -21 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 39276396 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 26*n**2 + 51*n - 6. What is the lowest common multiple of q(24) and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**3 - 4*h**2 - 4*h + 4. Let s be k(2). Solve -s*o = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.0706559\nAnswer: 0.1413118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*b + 0 - 1 = -4*s - 269*b, 2*s + 7*b + 9 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + 2 + sqrt(28)\/sqrt(4) + -2 + (3*2*sqrt(7) - (2 + sqrt(1008))))**2.\nAnswer: 30*sqrt(7) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3\/2*r**2 + 15 + 21\/2*r = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 103*t**5\/10 - t**4\/3 + 70*t - 75. Let u(z) be the first derivative of n(z). Find the third derivative of u(p) wrt p.\nAnswer: 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5 - 5*z + 3 - 1 + 12*z - 4. Let n(h) = -h**3 + h - 1. What is 2*g(o) - 14*n(o)?\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4 - 2*l + 9 + l - l**2 + 2*l. Let a be (1 - 1)*1\/(-2). Let j be d(a). Solve -23 = -b + j*n, -b - 2*n - 5 = -0*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mymy when four letters picked without replacement from {q: 6, m: 10, y: 2}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 502421 and 502422 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hsh when three letters picked without replacement from {f: 1, h: 5, s: 1, y: 5, k: 1, l: 2}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 1. Let h(z) = -12*z - 9. Let n(b) = -2*h(b) + 38*j(b). Let k(q) = -q - 1. Give 12*k(w) - n(w).\nAnswer: 2*w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 292*g**3*h**2*j**3 - 6*g**3*h**2 - 71*g**3*h*j**2 + 3*g*h*j**3 - 3*h wrt h?\nAnswer: 584*g**3*j**3 - 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0212 in -0.4, -13, 2.01?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a - 10*a + 54 = b, 4*a = 2*b - 18 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 16 = -4*f, 5*f - 6*f = -r - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 1:49 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 1:24 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**5 + 187*f**4 + 543*f**3 - 1651*f**2 + 920*f = 0?\nAnswer: -184, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 143 + -137. Let h be m\/9 + 30\/9 - 13. Let j(b) = -b**3 - 14*b**2 - 19*b - 31. Let c be j(h). What is c rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1528a53 (base 11) to base 15\nAnswer: 36aa94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5238, 0.2, -549?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -129 and 39.39.\nAnswer: -5081.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 168.23 - 167. Let f = b - 32.23. What is the closest to 1\/3 in f, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:50 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(4)*3*3) + sqrt(72)\/(sqrt(36)\/sqrt(6)).\nAnswer: 19*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2731092 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 622852 and 3906?\nAnswer: 39239676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16955951447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -a79849 (base 12) to base 2\nAnswer: -1010000111000001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -78 or -41764?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47645016593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005499580508 rounded to seven decimal places?\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6afc - 5?\nAnswer: -6b01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 31527062.41 and 0.\nAnswer: 31527062.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17, 1\/8, 2\/7, 1\/4 in descending order.\nAnswer: 2\/7, 1\/4, 0.17, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4.37 (b) -3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 5*n**2 - 4*n + 4. Let p be d(6). Let w = 24 - p. Let u = 22 - w. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59\/5? (a) -41 (b) 2 (c) -0.21 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -621 = 2*g - 5*g. Let m = -7 - -14. Let q be 159\/m - 8\/(-28). What is the highest common divisor of q and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from {o: 6, r: 1, a: 7}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 b, and 1 i when four letters picked without replacement from bpibpbpiibbpb.\nAnswer: 108\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/5)*c**8*c*(c\/c**(-6\/7))\/(c\/(c\/(((((c\/c**(6\/11)*c)\/c)\/c)\/c)\/c*c))) assuming c is positive.\nAnswer: c**(4929\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322234370 to the nearest integer?\nAnswer: 17951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1159288 is divided by 579614?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/13)*c**15)**(-33)\/(c**6\/c*c\/(c\/(c\/c**(4\/9))))**(1\/36) assuming c is positive.\nAnswer: c**(-1037449\/2106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37636607*i**3 + 31295549 wrt i?\nAnswer: -112909821*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4210.\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -3682?\nAnswer: -3687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 1 + 11. Let m be 21\/w*(-40)\/14. Suppose -m = -2*y + 12. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 115*12\/30 + (103 - 98).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 15 = -2*i, -b = -i + 5. Let h be ((-3)\/(-6) + -2)*b. Differentiate -10*u**4 + 2 + 4*u**3 + 14*u**4 - 4*u**h wrt u.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504103867?\nAnswer: 4817, 104651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - n. Let b(t) = 4*t**2 + t - 2. Let r(p) = -2*a(p) + b(p). Let k be r(1). Suppose 7*l = k*l + 1564. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kehkhqzhhq. Give prob of picking 2 h, 1 z, and 1 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -127769*k**4 + 209182 wrt k.\nAnswer: -511076*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 13*i**2 + 13*i + 3. Suppose 20 = 5*d, 8*d - 3*d + 40 = -5*f. What is t(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + -2)**2 + sqrt(2) + (sqrt(180)\/sqrt(10))**2.\nAnswer: -35*sqrt(2) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**4\/12 - 4*z**3\/3 + 2*z**2 - 3*z. Let f be q(-8). Solve -6 = -5*x - t, f + 0 = x + 3*t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -6. Suppose 5*p + h = -0*h + 8, -2*p = -5*h - 14. Calculate the highest common divisor of j and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -84\/329561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 30. Solve b*z + 5*d = 4*d + 17, -z - 7 = 4*d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 1\/3*c**4 + c**2 + 0*c**6 + 0*c - 2\/105*c**7 + 0 + 0*c**5 + 0*c**3. Find the second derivative of t(l) wrt l.\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**6\/120 - 7*l**5\/60 - l**4\/6 + 7*l**3\/6 - 13*l**2. Give j(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.14744 millilitres to litres.\nAnswer: 0.08314744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/26 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1049)\/(-6294)*(930\/1)\/(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 1279*v**6\/40 + v**4\/24 + 731*v**3\/6 + 17*v**2 - 2*v + 32. Differentiate p(d) with respect to d.\nAnswer: 11511*d**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5288427803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -12\/53 in ascending order.\nAnswer: -5, -12\/53, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48687 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, k: 3, m: 9, l: 1, h: 4}. What is prob of sequence hh?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.5247488 microseconds in weeks?\nAnswer: 0.000000000235656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 79*g + 215. Is w(21) a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.4449 - -0.0451. Let x = 1.7 - c. Let o = 0.13 + x. Round o to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4221707 to the nearest integer?\nAnswer: 2055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -686\/5*h**5 + 1 + 1519\/8*h**4 - 4*h - 105*h**3 + 29*h**2. Factor s(w).\nAnswer: -(4*w - 1)*(7*w - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*n + 34 = -3*n, 5*f = -2*n + 27. Suppose 10 = -2*o + f*o. Suppose 5*v - 162 = o*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*j - 35147 = -32749 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**4\/8 - a**3\/2 + a**2. Suppose 5*v - 10 = 5. Let k(f) = v - f + 5*f + 3*f + 0*f - 10. Give 5*i(c) - 2*k(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*sqrt(567) + sqrt(567))\/sqrt(9)*5 - (0 + sqrt(42)\/(2*sqrt(6)) - sqrt(14)\/(sqrt(162)*2)))**2.\nAnswer: 32780272\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 33215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*y + 5*y**2 - 9*y**2 + 1 - 31*y - 3*y**3 as s*y**3 + j*y + k*y**2 + v and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089 is divided by 225.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 55*z + 30 + 17 + 1. Is f(25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*u**2 - 79*u + 79*u + 199*u**2 as v*u**2 + q*u + z and give v.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 11*b - 45. Let n(r) = 36*r**2. What is n(g(j))?\nAnswer: 4356*j**2 - 35640*j + 72900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -119873.538 rounded to the nearest ten?\nAnswer: -119870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41615*s + 8*o = -41611*s - 68, 3*o - 37 = -11*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33790, 67523, 101256?\nAnswer: 134989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5351044 (base 8) to base 14\nAnswer: -293228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30050 and 7446390.\nAnswer: 37231950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/26*2\/((-2)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -138 + 146. Suppose -u*a + 13 + 3 = 0. What is the least common multiple of 54 and a?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -11, -9, -15, -35, -75, -141?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 l when four letters picked without replacement from {b: 1, l: 16, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2c6bd9 (base 14) to base 4\nAnswer: -11323233323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -168.5 - -169. What is the biggest value in -5, -1\/21, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -5, -10, 4, 0.01, 1679, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 63.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 13*z + 5 = 5*p, -5*z + 2*p + 50 - 138 = -72 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 8:52 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1905580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -9. Let n be 5\/h*(-6)\/10. Suppose -n = -2*q + 9. Solve -x = -3*x + q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 4698.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57089145 by 5.\nAnswer: -11417829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 10 - 22 = -5*c, 5*f - 2*c + 1 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93037 + 1205665\/13. Let x = p - -61927\/208. Find the common denominator of x and -11\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82488\/5 - 16446. Let r(x) = 21*x - 600. Let d be r(31). Is d at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 2*l**3\/3 + 2*l**2 - 1. Let j be r(-3). Suppose -5*n + 21 = -v, -2*v = -5*n - j*v + 16. Solve -n*u - 4 = -2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2496*a + 7481. What is q(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 783*h*i**4*z - h*i**3 - 2*h*i**2*j*z + 4*h*i**2*z - 3*h*i*j + 2*i**4*j + 517*i*z + 2*z wrt i?\nAnswer: 18792*h*i*z - 6*h + 48*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3802*q = -101*q + 3993*q + 2639*q + 816307 for q.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/2 (b) 3\/7 (c) -26 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/2))**(-2\/43)\/(h**(-7)\/h*h*h**(-5)))**36 assuming h is positive.\nAnswer: h**(18612\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*n + 43 - 43.\nAnswer: 57*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(180) + 4 + sqrt(180))*-5*-5 + 5)*-1*-1)**2.\nAnswer: 1575000*sqrt(5) + 11525625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 = 4. Suppose -p*i + 154 = -0*i + 2*r, -88 = -3*i + r. Suppose -4*k = -2*k - i. Solve -5*s + u - k = 0, 4*u = -u + 25 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236523 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -259271, -259240, -259209, -259178?\n\"Answer: 31*k - 259302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -186 divided by 3477\nAnswer: -62\/1159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1572 and 3013.\nAnswer: 36156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4416 divide 6199229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**6\/240 + 13*z**4\/12 - z**3\/2 - 7*z**2 - 16*z. Let t(w) be the second derivative of x(w). Let i(u) = 6*u. Give t(i(s)).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-1) - 3161\/436.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**24\/c)**46)**5 assuming c is positive.\nAnswer: c**5290","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 999, -9, -528 in ascending order.\nAnswer: -528, -9, 999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*sqrt(208).\nAnswer: -16*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -860, -866, -872, -884, -908, -950, -1016?\nAnswer: -1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3 = -n + 13, -n + 2*s = 20. Let o = n + 12. Solve -5*q = -0*t + 3*t + o, 2 = -2*q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 3:56 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 661 divide 3765717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24356 (base 8) to base 15.\nAnswer: -3188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 229451357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**3\/19 + 28970*z**2\/19 + 104893126*z\/19 - 104922098\/19 = 0?\nAnswer: -7243, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -76 in descending order.\nAnswer: 2, -3, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 0, 8, 5, -160 in descending order.\nAnswer: 8, 5, 3, 0, -3, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -858?\nAnswer: -854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -5*p**3 + 18660*p**2 + 74700*p + 74720 = 0.\nAnswer: -2, 3736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 86640?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-6))\/(2\/(-6)). Let v be 1\/((-2)\/(-10) + 0). Put l, v, 4 in descending order.\nAnswer: v, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 - 48*s + 46. Give p(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*b - 6280 + 2777. Suppose 5*k = -3*n + 278, 2*n - 224 = -0*k - 4*k. What is the remainder when b is divided by k?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 27 = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-2 - -4 - 6 - -2). Let x(y) = -y**t - y**2 + 1 + 6*y**2 + 0*y**2. Give x(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccs when three letters picked without replacement from sscssscssissss.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*z - 12*z + 85*z to the form b + j*z and give j.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2)*2\/5*5. Let f(o) be the second derivative of 1\/6*o**3 - 1\/6*o**4 - n*o + 0*o**2 + 0. What is the second derivative of f(c) wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4290 and 71110?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/6 + 1313*g**2\/3 + 679678*g\/3 + 1354108\/3.\nAnswer: (g + 2)*(g + 706)*(g + 1918)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -5998600497721.\nAnswer: -5998600497720.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2253 (base 14) to base 12.\nAnswer: 3541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 5:06 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-21))\/(22\/77)*(-6)\/(-255).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 6*z**2 + 5*z. Let u(f) be the first derivative of f**4\/4 + 2*f**3 + 5*f**2 + 3*f + 9. Let b be u(-4). What is s(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*y + 59*y + 7*r = -204, 7*y - 16 = r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1075823?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 52, 99, 154, 211, 264?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 5. Is 9 a factor of (d\/3)\/(2\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*6\/84*7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 8 = c, 573*t - 543*t = -2*c + 38 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -65505.\nAnswer: 4\/65505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 511 - 516. Put v, 4, -25, 26 in decreasing order.\nAnswer: 26, 4, v, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45.52 + 0.52. Let q = l + 44. Which is the smallest value? (a) -6\/7 (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87505201 divided by -1?\nAnswer: -87505201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*k + 15. List the prime factors of -5*(4\/5)\/k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 394?\nAnswer: 3940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(130) - sqrt(130)))\/(sqrt(10) + sqrt(490) + ((sqrt(490) - 1*sqrt(490)) + sqrt(490) - sqrt(490)) + sqrt(10)).\nAnswer: 10*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4285217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -341, -676, -1009, -1340, -1669, -1996, -2321?\nAnswer: -2644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*w + 31. Let p be -2*(-1 - 0 - 8\/w). Solve 3*j + p*t + 3 = 0, 7*j = 3*j - 2*t - 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 25*b**3 - 44*b**2 + 329*b + 70. What is the hundreds digit of k(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Let f = -195 + 267. Suppose u*o = -12 + f. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 12*k**2 + 2*k + 1. Let r be (-1)\/(-3)*(6 + -9). Calculate the remainder when 6\/(-2*3\/(-32)) is divided by i(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8406 = 4*o - 3*t, -6*o + 4*o + 3*t = 4200. Let z = -1212 - o. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*l + x, 33*l = 38*l + 4*x + 23 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213812, 427613, 641412, 855209, 1069004?\nAnswer: 1282797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1620995 from -12.4.\nAnswer: -1621007.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002781 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10070 is divided by 112.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/90 and 11\/3026640.\nAnswer: 9079920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 171235118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75919 + -24096. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (16\/(-7))\/((-62)\/1519) and 352?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.9 + 3. Let m = 64559 - 64558. What is the closest to u in 0.2, -7, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9575, -37878, -84911, -150674, -235167, -338390?\nAnswer: -460343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8*z + 3. Let q be v(2). Let f be (-1 - q)*(-2)\/(-6). Suppose -3*a + 30012 = -4*r, -f*r + 19985 = 2*a + r. What is a rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126537 - 40136. What is the ten thousands digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**2 - 746*u + 40040 = 0.\nAnswer: 65, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4509, -6716, -8921, -11124, -13325, -15524?\n\"Answer: l**2 - 2210*l - 2300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 5*n**6\/12 + 59*n**5\/60 + 241*n**4\/12 - 3*n**3\/2 - n**2 + 7*n - 4. Find the second derivative of z(x) wrt x.\nAnswer: 300*x + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9380 to the nearest 100.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 213185443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248831 is divided by 2439?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.86558l?\nAnswer: 1865.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 658679.\nAnswer: 7, 73, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93018*q**4 + 13*q**2 - 1210*q wrt q.\nAnswer: -2232432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004652 rounded to five decimal places?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 57*v**4\/2 + 59*v**3 + 65*v**2\/2 + 2*v = 0.\nAnswer: -1, -4\/57, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 387015326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 5*x + 5 = 0, -2*u = -0*u - 5*x + 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559134?\nAnswer: 2, 3, 31063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 + 364744*n + 8314886596.\nAnswer: 4*(n + 45593)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10765 by 1.\nAnswer: 10765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302688756 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-133)\/532*(-246)\/18)\/((-1)\/(-24)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 266 = -36. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8061?\nAnswer: 3, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -969\/10 + 97. Let p = 2.986 - -0.014. Sort 0.3, n, p.\nAnswer: n, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2346 - -2603. List the prime factors of r.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdtvytyqv. What is prob of sequence vdv?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 716*l**3 - 4*l**2 + 7339. Let s(v) = -1431*v**3 + 8*v**2 - 14678. Let q(b) = -6*s(b) - 11*t(b). Find the first derivative of q(r) wrt r.\nAnswer: 2130*r**2 - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5247*c - 166600 = 7207*c for c.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5401834 is divided by 99?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 5*k**2 - 259*k - 1307. Determine b(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 207 = -3*p - 5*l, 0 = 4*p - 3*l + 276. Let x = p - -102. Let c = 10 + x. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 3, 4, 2 in decreasing order.\nAnswer: 4, 3, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -72, 1\/4, 5\/24, 5, -2\/3?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*n - 0 + 3, -4*n = -2*y + 6. Suppose 20 = 2*v + 8*v. Suppose -v*f - 6 = -y*f. Solve g - f = -7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*s. Let d = 143 + -433\/3. Which is bigger: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7380186947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -263, -417, -573, -731, -891, -1053?\nAnswer: -1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132224?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*((u*u**(-1))\/u)\/u*u)**(-1\/25))**1\/((u\/u**1*u)**37\/(u\/(((u*u*u**(-1)*u)\/u)\/u)*u*u*u*u)**(-4\/5)) assuming u is positive.\nAnswer: u**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + 13135131421?\nAnswer: 13135131410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*i**3 + 252*i**3 + 252*i**3 - 997*i**3 + 243*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 3. Put c, -2, -2\/19 in descending order.\nAnswer: -2\/19, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-6 - (-5 - -2)) - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1344230917?\nAnswer: 101, 13309217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/9*(1 + -7). What is the second derivative of 7*i + 8*i**3 + 7*i**3 - i - m*i wrt i?\nAnswer: 90*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {w: 1, h: 3, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 5*d - 1. Let k(z) = -z**2 + 5*z - 1. Let r(q) = -5*k(q) + 6*u(q). Let w = 39 - 34. Let x be r(w). Put x, 3, -2 in ascending order.\nAnswer: -2, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = -5*j + 6*x, -j + 1623561*x - 1623566*x = -3 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2 + 12*f + 0 - 3*f**2 + 3 - 9*f - 7. What is w(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39887104.\nAnswer: 2, 155809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**2 + 25*y - 37. Let r be s(3). Solve -25 = -4*z - 3*m + 6, 2*z + r*m = 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 159 = -185. Suppose 4*x - 4*c - 142 - 190 = 0, -2*c - l = -x. Suppose -5 - 11 = -2*h. What is the highest common factor of x and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15945612 to the nearest integer?\nAnswer: 3993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 358402*p**4 - 6*p**2 + 3*p - 13049?\nAnswer: 8601648*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6487140.79 to the nearest one hundred.\nAnswer: -6487100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(1\/(-2 + 1)). Let d be m*3\/(-12)*-6. What is the common denominator of d\/3*159\/12 and 87\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3677*f - 51641. What is y(14)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c - 8. Suppose c*y + 4*k = 0, 5*y + 2*k = 5*k. Suppose -2*j + 83 = -y*l - 3*l, 40 = j - 3*l. What are the prime factors of j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 872 - -0.089.\nAnswer: 872.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 0. Let z = 76 + -111. Let y = z - -37. Which is the smallest value? (a) y (b) 2\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (-3)\/(6\/2). Suppose -i*v + 7*v = 12. Suppose -v*o = 2*q - 23, -4*q + 3*o - o + 6 = 0. Is 5 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g - g**3 + g + 19*g**2 - 20*g**2 to w*g + f + y*g**2 + p*g**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/(-8) + 2\/8. Suppose -u*q - 6 = 6. Which is the closest to 0.1? (a) -2\/7 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1610*p + 2 - 19348*p + 3707*p + 2*p**2 to l*p + r + f*p**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - (5 + 0))*-35. Calculate the greatest common factor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4*-1*(sqrt(2448) + -3) - -1*(sqrt(2448) - 2*(sqrt(2448)*-6 + sqrt(2448)))))**2.\nAnswer: 32256*sqrt(17) + 1921536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1050913649\/559716 + 18\/46643. Let z = c - -1879. Calculate the common denominator of z and 45\/92.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40136?\nAnswer: 2, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4730 and 115390?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -7\/22, 3, 2, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0) + 26 + -27.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k = 2. Let j(s) = 5*s. Does 5 divide j(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77851 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 23 = -17*d + 12*d + 9*z + 16, 0 = 35*z + 105 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 + 2*x - 5. Let a(y) = -3*y - 14. Let w be a(-6). Let k be -3*(-7 + w - -2). Let c(s) = 6*s**2 + 4*s - 9. Give k*c(z) - 5*u(z).\nAnswer: 3*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 - 480*u**2 - 507*u - 6939. What is m(-239)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1710\/(-38475))\/(4\/(-18) - 639\/405)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13576 is divided by 287?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 540847 and 94690?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2 - 8*g + 5. Let t(l) be the first derivative of -2*l**3\/3 - 7*l**2\/2 + 4*l + 98. What is 6*o(n) - 7*t(n)?\nAnswer: -4*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 + 22*u - 41. Let y be x(2). What is the highest common factor of 135 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2573596 to the power of 1\/2, to the nearest integer?\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 686\/(-8)) + (-4)\/(-16). Calculate the greatest common divisor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g + 2. Let l(z) be the first derivative of -5*z - 6 + 9\/2*z**2. Suppose -20 = 7*c - 2*c. Give c*l(i) - 11*p(i).\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/5, 42, -3, 14?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -402, 213, 18 in ascending order.\nAnswer: -402, 18, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -46502 divided by 46502?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x + x + 8 + 2*x. Suppose 16 - 6 = -3*v - 4*m, -5*m = -2*v - 22. Let n be k(v). Solve 2*u - n*w = -2, -5*u + 17 = -2*w + 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330221311 (base 4) in base 5?\nAnswer: 112314311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + v**2 + 3*v**2. Let q(s) be the second derivative of 2*s**4 - 10*s - 159. Give w(q(b)).\nAnswer: 1152*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 948224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(2\/3))**(-40\/3))**(-1\/20))**(-20))**28 assuming g is positive.\nAnswer: g**(-2240\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 494780 divided by -44980.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-465)\/(-1953)*18\/15*1\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-15) + (-1439)\/(-5). Let j = -237 + z. Solve -n - 2*w + 15 = 0, w - j = -5*n - 4*w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/10)\/((-22)\/(-825)). What is the highest common divisor of 55 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(1\/5)*h)\/h)\/(h*h**(-1\/6)))**(2\/31) assuming h is positive.\nAnswer: h**(11\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2956256811.\nAnswer: 3, 223, 490991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 7*u**2 - 2*u. Let n(d) = d**3 + 7*d**2 - 3*d. Determine 4*c(w) - 5*n(w).\nAnswer: -w**3 - 7*w**2 + 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 1. Let u(q) = q**2 - 6*q - 4. Suppose -3*x - x + j - 27 = 0, 5*x + 21 = -3*j. Calculate x*v(z) + u(z).\nAnswer: z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 3 - 7*h**2 - 26 + 8 in the form d*h + w + b*h**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -28*w**2 - 4*w - 7. Calculate j(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1096144 is divided by 458.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.03, -10, -2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13366, -26731, -40096?\n\"Answer: -13365*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 19*b**2 + b - 14. Let s be p(-6). Suppose -75*h + s = -77*h. Round h to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 308*o + 1602. Calculate z(-10).\nAnswer: -1478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 290552628?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*o - 19 + 262 = 0. Solve 0 = -3*r - 53*g + 50*g + 6, 0 = 4*r + o*g - 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 1. Let s(g) = 2*g**2 + g - 1. Let p be -1 - (0 - -3 - 5). Let f be s(p). Let w(k) = f + 29*k**2 - 31*k**2 + 4*k - 1. Determine 4*n(m) - w(m).\nAnswer: 2*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.73 - 70.27. Let d = h + 244. Let u = -172.00000069 + d. Round u to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-31)\/(-3) - (-5)\/(-15). Let v be (2*3\/(-24) - 725\/(-116)) + 14. Calculate the greatest common divisor of j and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6 (b) 451 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 370729 divided by -723\nAnswer: -370729\/723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73886, 147581, 221066, 294239, 366998?\nAnswer: 439241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 7*z + 28 + 26 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -5. Solve 0 = w + 4*w - v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 13 = -4*u, u + 14 = -2*h - u. Let j(m) = m + 3. Let q be j(h). Suppose q = -2*w + 4*f + 270, 0*f - 3*f = -3*w + 399. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/1)\/((-630)\/153 - -4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z**4\/7 + 120*z**3\/7 + 1290*z**2\/7 + 1620*z\/7 - 432 = 0.\nAnswer: -6, -3, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20769 (base 10) to base 13\nAnswer: 95b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times 0.02?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11664648 and 1440080.\nAnswer: 116646480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20395, -20401, -20407, -20413, -20419, -20425?\n\"Answer: -6*f - 20389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 0 = -6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 3:35 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/14)\/((s**(2\/11)\/s)\/s) assuming s is positive.\nAnswer: s**(291\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3*12\/(-28). Which is the nearest to -1? (a) 5 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1350 = c - 55*c. Solve 4*x + 5*f + c = -4, 5*f + 26 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.01, 1\/6, -3\/4, 390, 0.2, 2\/5, -162?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20.516 + -21.016. Sort f, 43\/3, -3\/11 in decreasing order.\nAnswer: 43\/3, -3\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -717 - -6544\/9. Let b = 853\/63 - l. What is the common denominator of 31\/7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = h + 2*x + 12, 4*h = x - 30. Calculate the remainder when 1*(h - -10)\/(2\/31) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + 20. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49356.42 years in months?\nAnswer: 592277.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3 - 317*f**3 + 629*f**3 - 2 - 5*f - 313*f**3 - 6*f**2. Give c(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5273.041 - -60.159. Round u to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide (-1 + 3852)*(62 - 61)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1082111 or -5410549\/5?\nAnswer: -1082111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 22 = -6*q. Let r be (((-2)\/2)\/1)\/(q\/10). What is the second smallest value in r, -3, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.15 (b) 22 (c) 2.50882\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 2:07 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = 5*g - 3*f, 16 = -2*g + 4*f. Solve g*l + 8*l = -8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/32759322 and -85\/8.\nAnswer: 131037288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -77 (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28\/3 (b) -1 (c) -14 (d) -0.5 (e) -0.2 (f) -0.0526\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + -102?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 7*k + 4. Let p be o(-7). Suppose 473169 = p*a - 1636795. Suppose -157491 = -z - a. What is z rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 246 - -4?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 2*v + 27. Let s = 30 - 30. Let g be z(s). What is the greatest common factor of g and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/9 + (-2)\/3. Is 12 a factor of 35 + 1\/(k - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8888 - -8939. Solve -14*p - 3*p - r = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 0, -4, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 438, 835, 1224, 1605, 1978, 2343?\nAnswer: 2700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - a**2 - 6*a - 4. Calculate h(-4).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486 + 18*v**2 - 49*v**2 + 12*v**2 + 19*v**2 + 30*v**3.\nAnswer: 30*v**3 - 486","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Let d be (-9)\/(-366)*251\/(-21). Let w = -1\/122 - d. Which is the biggest value? (a) -3 (b) m (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ccec (base 15) to base 16\nAnswer: -a99e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 314579*a**4 + 165*a**3 + 1129961*a**2 - 25.\nAnswer: 7549896*a + 990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 184185957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 20*l - 21 - 21 - 14.\nAnswer: -20*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*z + 4*n + 122 + 17 = 0, 17 - 9 = -0*n + 2*n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 30 = 5*t, 17 = r + 2*t + 2*t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 * 0.0532.\nAnswer: -1.5428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*o + 2. Let m be ((-6)\/(-4))\/(o\/(-4)). Suppose 2*h + 2 = -f + 15, f - 19 = -m*h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 87 = -13*c. Solve 7*q = c*q + 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**2\/7 + 276*r\/7 + 2241\/7 = 0.\nAnswer: -83, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 1:20 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2 + 5\/(-10). Suppose -4*o - 21 = -4*d - o, -d - o = t. What are the prime factors of d\/7 + 1560\/35?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36386 (base 9) to base 12.\nAnswer: -12136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/7 (b) -25.8 (c) -0.1 (d) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**4\/12 + x**3\/3 + 3*x**2\/2 + 281*x. Suppose 2*a - 3*c + 2 = 7, 0 = 4*a + 4*c - 20. What is y(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 654\/(-108) - -6 - 2513672\/(-144)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**3 + 0 + 0*j**3 + j**3 - 1 to the form k*j + q + n*j**2 + y*j**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2))**(-34) assuming n is positive.\nAnswer: n**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 36226254 divided by -18113127\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7064351 - 25?\nAnswer: 7064324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3069474.7 * -1\nAnswer: 3069474.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -252\/5*u**3 - 576\/5*u + 0 - 3\/5*u**5 + 9*u**4 + 624\/5*u**2 = 0. Calculate u.\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-3))\/4*-10. Let k = 17 - v. Find the third derivative of k*g**2 + 2*g**4 - 3*g**4 - g**4 wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 13 - 1)*(325*j**2 + 206*j**2 - 121*j**2)*(2*j + 0*j - 4*j).\nAnswer: -8200*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 2:17 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-2 + 72\/39). Let m = 8 + t. Let f = -3\/124 + 287\/1612. Which is the closest to 0.2? (a) m (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 324, 319, 302, 267, 208, 119?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/13)*j**(2\/3)\/j)\/(j\/(j*j\/j**6)*((j**(-2\/5)\/j)\/j)\/j))\/((j*j\/(j*j**(-3\/5)))**(-15))**(-17) assuming j is positive.\nAnswer: j**(-79712\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 0. Let q = -2 - l. What is the third smallest value in q, -2\/11, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 9*c**2 + 6*c + 2. Suppose -h - 26 = -4*a, 2*a - 46 = 3*h - 2*a. List the prime factors of l(h).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 0.011, -0.8, 3.2, 2\/181?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 6:29 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 = 3*m + 2, -6 = -4*v - 3*m. Let d(q) be the second derivative of q - 8*q + q**v + 8*q. Let c(g) = g. Give d(c(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1581 at most as big as -1581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (-4 - -7)) + 4. Suppose z = 193*r - 191*r - 746. What are the prime factors of r?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -3 - (37 + -55) - 39?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13743 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**29*b**(-4)\/((b*(b\/(b*b**(-4\/5))*b)\/b)\/b)*(((b*b*b**2*b)\/b*b)\/b)**(-2\/5)\/(b**(1\/2))**37 assuming b is positive.\nAnswer: b**(41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 + 10*y - 8. Let q(u) = u**2 - u - 5. Let a be q(4). Suppose -26 = a*v - 96. What is the lowest common multiple of d(7) and v?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 85861.\nAnswer: -8\/85861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 - 35*c**2 - 20*c - 14. Let z be t(-17). Suppose -10*y + z = -173. What is the common denominator of (-410)\/(-516) + (-14)\/y and 71\/2?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 15*p - 4. Let s be a(13). Suppose 7*c - s = 5*c. Find the third derivative of c*i**3 - 33 + 19*i**2 + 66 - 33 wrt i.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((-1*(sqrt(76) + (sqrt(76) - (sqrt(76)*-3 + sqrt(76)))) - sqrt(76))*-6)\/(sqrt(48)\/((sqrt(72)\/sqrt(2))\/sqrt(3))))**2.\nAnswer: 17103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 2 - 14 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 901.452 grams to milligrams.\nAnswer: 901452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/15696485 or 0?\nAnswer: -1\/15696485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 506198691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1970817.\nAnswer: 3, 656939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -26e7c4?\nAnswer: 26e7c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-30)*1*10*(-91428)\/6416\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**3 + 2*d**2 - 6. Let p(v) be the third derivative of 13*v**6\/120 + 3*v**5\/20 - 23*v**3\/6 + 951*v**2. Give 9*m(l) - 2*p(l).\nAnswer: l**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0*m + 30. Let o(t) = -1034*t + 514*t + 12 - t**2 + 526*t. What is o(m)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(102)\/sqrt(6))**2 - (2 + sqrt(1088)).\nAnswer: -18*sqrt(17) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -1123*m**8\/336 - 262*m**4 + 1461*m**2 + m + 2. Find the second derivative of y(l) wrt l.\nAnswer: -22460*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, h: 3, b: 7, v: 2, o: 3}. What is prob of picking 2 r and 2 v?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 1 - 4*y - 2*y)*(2 + 0 - 4).\nAnswer: 6*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.017918 grams?\nAnswer: 3017.918","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11139 and 35313.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -111 - 16?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k - 6. Let h be z(-2). Let l be -10*h\/6*(-36)\/24. Let f be 3\/l + 9\/(-15). Put 9, f, 4 in decreasing order.\nAnswer: 9, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(12*(-9)\/(-360)*(-40)\/(-1488))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 557 - -512. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93136.1l to millilitres.\nAnswer: 93136100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2474 (base 8) in base 9?\nAnswer: -1748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3 - 1 - 3 + 0. Let r(c) be the third derivative of c**4\/12 + 5*c**3\/3 - 8*c**2. Suppose 3 - 4 = -m. Give m*r(l) + 8*w(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 22 = -5*m, 3*c - 5*m = 8*c - 40. Put -7, 3, c in descending order.\nAnswer: c, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 25553447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66068 is divided by 61130.\nAnswer: 4938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 2. Suppose m + 7 - 4 = 0. What is the units digit of l(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1035 = 6*b. Calculate the remainder when b is divided by (2339\/4678)\/((-506)\/(-252) - 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 7:46 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 135 - 913. Let v = -2717\/7 + z. Let m = -4 + 0. What is the second smallest value in m, v, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**3 + 0 - 9*v**2 + 7 - 4*v**3 + 3*v**2. What is l(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - sqrt(165)\/sqrt(5)*6)\/(sqrt(48) + 2*sqrt(48)) + 5*sqrt(132)\/(sqrt(588)*4))**2 + 0.\nAnswer: 275\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000253547855 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9559969?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1706453 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from exieccdcwdexx.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1323016 and 159536?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, 2\/13, -3, -27\/2, -42?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (1 + 0 + -3 + -4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -38422671 from -51.434.\nAnswer: 38422619.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -1 in descending order.\nAnswer: 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 24*x - 25*x + 5, 25 = -n - 4*x. Which is the nearest to 64.3? (a) n (b) -2\/9 (c) 4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -324, -839, -1534, -2391, -3392?\nAnswer: -4519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2117187164?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -93369592*v**4 + 153655956 with respect to v.\nAnswer: -373478368*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4062\/35 - 116. Let i be (3 + -2)*1\/(-1). Is f != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/468 and 38\/303?\nAnswer: 47268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 36. Is 1\/2 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37\/44 - 12\/11. Suppose -t + 1 + 1 = 0. Which is the fourth biggest value? (a) u (b) -5 (c) t (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63295 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*y - 10 = -3*j, 0 = -4*j + y + 12. Let d(m) = 160*m - 4. Let p be d(j). Find the third derivative of 4*a**5 - 308*a**2 + 14*a**5 + p*a**2 wrt a.\nAnswer: 1080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 61 = 12*o. Let u(i) = -i**3 + 11*i**2 - i - 3. Let c be u(11). Let m be (c\/21)\/((-2)\/(-12)). Is o bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13\/9 (b) 5 (c) -25 (d) -0.04 (e) 3 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1684300.\nAnswer: -1\/421075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.461781 days?\nAnswer: 39897878400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -1. Is 14 a factor of 5\/(-25) - 211\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = t + 4. What is the second biggest value in -4, 5, t, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3532091 + -1?\nAnswer: 3532090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) 9 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4239, 4240, 4241?\n\"Answer: r + 4238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 12*d. Let t(w) = 6*w + 9. Let b = 395 - 386. Let l(v) = -4*v - 4. Let m(c) = b*l(c) + 4*t(c). Give g(m(s)).\nAnswer: -144*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (7 + -3 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -712 - -778. Suppose -63*y + q*y - 258 = 0. What is the highest common divisor of 215 and y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 7*m**2 + 7*m + 10. Let u(s) = -s**3 + 8*s**2 + 7*s + 24. Let l be u(9). Let f be j(l). Round f to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32925\/16 + -2057. What is the common denominator of (1\/(-4))\/(7*(40690\/3395 + -12)) and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -2)*(-3)\/((-6)\/(-8)). Suppose z - 112 = -z - 2*y, -2*z - w*y = -106. Let r = -54 + z. Is r smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/5 + 13\/5. Suppose 3*n + 2*h = 495, -2*n = -j*h + 139 - 469. What is the greatest common factor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqss when four letters picked without replacement from cjpssjqq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 42, 4, 1, -4?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22423\/2727933 + 14\/1857. Is -1 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 1 + 0*u - 2*u + 0*u. Let p(w) = -w**2 - 7*w - 7. Let l be p(-6). Let a be z(l). Solve a*k - 2*x = -19, 0*x = -2*k - x - 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -125 - -126. Let x = 18 + -15. Suppose 4*h = -12, -5*l + 5*h - x*h = -76. Is c at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2756*x**4\/5 - 798*x**3 + 870*x**2 + 508*x - 144\/5 = 0.\nAnswer: -2, -1\/2, 36\/689, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14 + 17*n**2 + 10 - 4 wrt n?\nAnswer: 34*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259393?\nAnswer: 47, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -76.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8241334 litres?\nAnswer: 824.1334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 509626732.00000035 + -509626707. Let c = l + -25. What is c rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 57 - 253. Suppose -2*y + 30 = -d. Let w = -32 + y. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 (base 13) in base 10?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - q**3 + q**2)*(-5 + 5 + q) + 2*q**3 + 62*q**4 + 308*q**2 - 596*q**2 + 287*q**2.\nAnswer: 61*q**4 + 2*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 740302753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*k - x - 1, -5*k - 10 = 5*x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*b**3 + 394289 - 394289.\nAnswer: 43*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -19*f**3 - f**2 - 2*f - 2. Suppose 0 = -5*l - 11 + 6. Let w be a(l). Let x = -14 + w. Calculate the remainder when 9 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 8*w + 7. Suppose 7 = 3*j - r, 2*j + 4*r - 11 = j. Let d be k(j). Solve 4*b - d + 5 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 6*x**2 - 2*x - 8. Let d be u(-6). Suppose -6*f = -31 - 35. Suppose 3 = -4*i + f. Solve 0 = d*k - i*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143 - 51*v**2 + 106*v**2 + 127*v**2 + 143.\nAnswer: 182*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 3*g + g)*(-g**3 + 3*g**3 + 7*g**3)*(-g + 3*g - 6*g).\nAnswer: 72*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13560 and 1731.\nAnswer: 7824120","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -1\/5 (b) -5 (c) -1 (d) 23\/93\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1486*h**3 - h + h.\nAnswer: 1486*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**3 - 29*b**2 + 92*b - 6. Let g be z(3). Which is smaller: 80 or g?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2066795 or -26868347\/13?\nAnswer: -26868347\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315836 is divided by 1601.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2*5\/440*8.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.09 * -0.15.\nAnswer: 2.1135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -181498 and 35.2567?\nAnswer: 181533.2567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 20.9999927. Round j to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(-1 - 0) + -1. Suppose -c*p + 0 = -5. Suppose -z - 1 = -f, p = -5*f - 4*z + 24. Put -1\/2, 2\/11, f in descending order.\nAnswer: f, 2\/11, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6132? (a) 3\/2 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034416 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67809?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149332863.\nAnswer: 3, 49777621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (551 + 552 - 1078)*(0*d + 4*d - 3*d).\nAnswer: 25*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 93*m + 10. Let c(f) = 62*f + 7. Calculate 5*b(a) - 7*c(a).\nAnswer: 31*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 8*v**2 + 10*v - 7. Let l be x(9). Let j(q) = 24*q - 4. What is the tens digit of j(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*h - 2*h - 5*g, 0 = -5*h - 5*g + 35. Let b = -66 - -94. Let j = -9 + b. What is the remainder when j is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 7:13 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -56*i**3 + i**2 + 2*i + 2. Let y be -6 - 265\/(-55) - (-4)\/22. Is 19 a factor of c(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*a**4*f - 4*a**2*f - 444*a*f wrt a?\nAnswer: 324*a**2*f - 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -17*r - 2. Let o be 80\/(-60)*3\/2. Let u(w) = 69*w + 9. Let q(m) = o*u(m) - 9*z(m). Let v(x) = -x. Give q(v(d)).\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 + 3 + a - 3*a**2 - a**2 - 6. Let n be (-4)\/(-10)*2*(-90)\/(-4). Let s(k) = n - k**2 - 2*k - k - 19 + 4*k. What is -3*s(f) + w(f)?\nAnswer: -2*f**3 - f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 4*m**2 - m + 3. Let t be (-21)\/27 - (-2)\/(-9). Let j be -10 + 4\/4 - t. Let u = -5 - j. What is s(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10 + 31*p**2 + 50 - 63*p**2 - 100*p - 33*p**2.\nAnswer: -5*(p + 2)*(13*p - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s**3 - 81*s**3 + 394*s**3 + (-3 - 1 + 3)*(-6*s**3 + 4*s**3 - 5*s**3) in the form k*s**3 + h + f*s + a*s**2 and give k.\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 417078858 to the power of 1\/3, to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 + (0 - 1). Suppose 5*u = -c - 0*c - 16, c = -1. Let v be 2\/4*u\/6. What is the second biggest value in -2\/3, k, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 848*v - 8372 = 161*v - 1406*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21183 + -21187.7. Is 2\/477 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 <= 130094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from mssksksmscma?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 551*c + 91 = 546*c, 5*b - 3*c = 65 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*t - 1920 = -t for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2749 - 2748. Let p = 0.6 - -1.4. Put u, -5, p in descending order.\nAnswer: p, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/4 + 255*t**2\/4 - 1033*t\/4 + 777\/4 = 0 for t.\nAnswer: -259, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 6*l**2 - 3*l + 7. Let k be i(-6). Let q be 9\/(-21) - k\/(-63). Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -43\/20*b**5 + 0*b**3 + 0*b**4 + 0 - 8*b**2 - 14*b. What is the derivative of z(y) wrt y?\nAnswer: -129*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25848 is divided by 2640.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11, -151, -555, -1361, -2707?\n\"Answer: -23*d**3 + 6*d**2 + 3*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**(3\/2))\/w)\/w*w)\/w**(-9))**(-39)*w**(-2\/17)\/(w\/(w\/w**2))*(w**(-1)\/w)**(-1\/3) assuming w is positive.\nAnswer: w**(-41917\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-25) - 3\/(15\/(-1777)). Suppose i = 4*g - 1. What are the prime factors of g?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -263 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102212 (base 3) in base 8?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o**2. Let z be (5\/9 - (-29)\/261)*3. Suppose -4*y + 19 + 29 = 0. Let n(w) = -4*w. Let a(b) = b. Let u(i) = y*a(i) + z*n(i). Determine x(u(h)).\nAnswer: -80*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1600 by 320.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-20) - 5\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 4*w + 3. Let c be n(-4). What is the second derivative of -4*i**c + 4*i**3 - 3*i**3 - 2*i wrt i?\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2. Let j(u) = 28*u**2 + 18809*u + 6. Give j(q(t)).\nAnswer: 28*t**4 + 18809*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.74 * 0.2497\nAnswer: 0.184778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 744 - 773 - (-2 + 3 - -5 - (11 + -7))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -123*g + 128*g - 10. Let i(s) be the third derivative of 0*s**5 + 0*s**4 + 2\/105*s**7 + 0 - 3*s**g + 0*s**3 + 0*s - 1\/30*s**6. Factor i(d).\nAnswer: 4*d**3*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -0.7. Let n = -674.9 + 675.2. What is the second biggest value in l, -2\/3, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47298512 and 370.\nAnswer: 8750224720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 18*h + 301. Give k(-19).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 289 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4 = 3*o. What is the second derivative of -z**2 - 3*z - 3*z**4 + o*z**2 - z**2 wrt z?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 98*z - 93*z - 70. Calculate the greatest common divisor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*s**3*u - 664923*f**2*u**2 + 2*f*s*u**2 - f*u**2 - 7*f*u + 177*s**3*u - 2*u**2 + 27 wrt f.\nAnswer: 2*s**3*u - 1329846*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5003054?\nAnswer: 2, 7, 191, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43257791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -0.2 (c) -3691664 (d) 2 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggaagaaagjajggjgg?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2193449 by 3.\nAnswer: -2193449\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1624598 or -11372192\/7?\nAnswer: -11372192\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u + 4*u + 2*u)*(-2 - 1 + 5)*(-1 - 1 + 0)*(-10*u**2 - 6*u + 6*u)*(-6*u - 7*u + 1 - 15*u) as y + n*u**4 + h*u**2 + f*u**3 + v*u and give f.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37.858 + 38.158. What is the nearest to -0.2 in 1169, 0, 3\/5, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24147606?\nAnswer: 2, 3, 7, 37, 41, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a**2 + 10*a - 7. Let r(q) = 2*q**2 + 3*q - 3. Let h(k) = -17*r(k) + 6*s(k). Suppose 0 = 5*x - 10, -14*v + 11*v = 4*x + 10. Calculate h(v).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*d = -213015, 0 = 3*c - 0*c - 4*d - 213020. What is c rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k + 28*k = 0. Let h = 4 - 3. Let s be ((-32)\/(-24))\/(h\/(-3)). Put 2\/33, s, k in increasing order.\nAnswer: s, k, 2\/33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 22. Suppose 111 = -5*c + 31. Let a be w(c). Suppose -90 = -a*r + 18. What is the lowest common multiple of r and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 838*a - 2512*a + 557*a + 560*a + 560*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -424? (a) -2 (b) 387 (c) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 170989\/637 - 4*1\/(-7). Let r = k - 269. Let u(y) = -y**2 + 15. Calculate u(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/10 or 539.8?\nAnswer: 539.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/136298560 and -13\/7959040.\nAnswer: 1090388480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkcle. What is prob of sequence dlkc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -15*s**3 - 8*s**2 - 2*s - 3. Let i be k(-6). Suppose 639 = -6*c + i. List the prime factors of c.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10.7 or -2\/3?\nAnswer: 10.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.03 + -2.03. What is the closest to c in 5, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 11*k - 14. Let i be m(-13). Let g be (-12)\/20*12*-5. Calculate the greatest common divisor of i and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57422205 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cchh when four letters picked without replacement from {h: 5, c: 14}?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + a - 8 = 5*a, 3*d - 5*a = 32. Suppose -2*r + 161 = d*j - 7, -j + 33 = 5*r. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 - 3*t - 3. Let j(d) = -5*d**2 - 5*d - 5. Determine 3*j(y) - 5*q(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20409\/14 + 1458. Let n = 9\/14 - x. What is w in 3\/7*w - 6\/7 + n*w**2 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/8 and (-4)\/(-18) - 5890\/4788.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -42740, -42739, -42738, -42737?\n\"Answer: j - 42741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - 2*q - 1. Let b be o(2). Solve -r = -6 + b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.1440931 to three decimal places.\nAnswer: -14.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f = -28*f + 543000. Round f to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - q - 20. Solve -3*h = q*x - 23, -3*h - 2 = -0*x - x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (-3 + 2 + (13 - (14 + 5)))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3569.2 - 3569.2000111395. Round h to 7 dps.\nAnswer: -0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 2*p**2 - 4*p + 4. Determine q(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 707477.7988538081 + -732053282.7988541581. Let s = q - -731345779. Let o = -26 - s. Round o to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f**2 - 10*f. Let v(s) = -s**2 + 3*s. Let t(h) = 3*b(h) + 10*v(h). Let a(j) = -4*j - j - 4*j. Give a(t(o)).\nAnswer: -99*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4116, 3180, 2244, 1308?\n\"Answer: -936*d + 5052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 + 4*d**3 - 5*d**3 + (-4*d**2 + 3*d**2 - d**2)*(0*d - 2*d + 0*d) + 2*d**3 - 4*d**3 + 3*d**3)*(82 - 10 + 15).\nAnswer: 522*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (392\/35)\/((-2)\/(-5)). Suppose 0 = 2*w + 4*p - 6*p + 24, f = -3*w + 5*p. Sort -2, 0, w, -3 in ascending order.\nAnswer: w, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63.84 - 0.16. Let k = -71.4366 + 0.0366. Let t = k - a. What is t rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 15*a**3 - 8*a**2 - 70*a + 7. Let n be m(-4). Which is greater: 2\/7 or n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542 is divided by 265?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.4 + 1.6. Let y = -1.008 - -0.608. What is the closest to -0.1 in 0.5, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**4 - 3 + 2*r + 14*r**3 - 3*r + 3*r - 12*r**3 to w*r**3 + o + x*r**2 + i*r + b*r**4 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.3 in 41, -1\/6, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*k + 5 - 35 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((1 - 2) + 1)\/(-2). Let l(o) = -3*o + o - 4 + 9*o**2 + k*o + 5. What is the units digit of l(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/22 - (-1407)\/(-2640). Let k(n) be the third derivative of 0*n + v*n**5 + 3\/32*n**4 + 0*n**3 + 0 - 12*n**2. Find z, given that k(z) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*j + 5*j - 385 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 1198491. Let h be y(0). Let a = h + 1728491. Round a to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 2*v - 5*h, 2*h + h = -5*v + 307. Calculate the remainder when 368 is divided by v.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + v + 1. Let g(d) = 5*d**2 - 2*d - 2. Let h(l) = g(l) - 4*r(l). Calculate h(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.02 - -0.02. Let a be 1\/(-6) + 20\/40. Let b = a - 2\/3. What is the second biggest value in r, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7 - 6*t - 2 + 2*t**2 - t**2. Let a be w(7). Let f be a\/(-90) + (-26)\/30. Put f, -2, 3 in descending order.\nAnswer: 3, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5060710575*l**2 + 2 - 5060710559*l**2.\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 82831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13037, 12867, 12723, 12605, 12513, 12447?\n\"Answer: 13*j**2 - 209*j + 13233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*a - 4*a + 19*a)*(a**2 + 29*a - 12*a - 17*a + 4).\nAnswer: 27*a**3 + 108*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4351\/3893*51\/(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*(-4*(sqrt(3072) + 1) + 2 + sqrt(3072)*-2)*-3)**2.\nAnswer: 27648*sqrt(3) + 3981456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = d - 30. Suppose -3*p = g - 147 + d, 0 = -4*p + 2*g + 162. Let v = 253 - p. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q. Suppose 0*c + 4*c = 4*t - 4, -3*t = -c - 9. Suppose -5*v = 2*k - c, q = 5*k - v - 13 - 8. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11139 + -11103. Solve -43*q + s = -31*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1713846, 3427690, 5141534, 6855378?\nAnswer: 8569222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -435*w = -685*w + 2000 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 9*u**2 - 9*u - 2. Give q(-7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-8)*(-24)\/90)\/((-17)\/425).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 637\/4 - 159. Let w = -2 + 3. Which is smaller: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/51? (a) -3 (b) 3 (c) 4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 4*q**2 - 5*q - 1. Let o be b(-3). Suppose -o*u = 2*n - 177, 4*u - 248 = 3*n - 6*n. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 10*j**2 - 8*j - 14. Let v(r) = 20*r**2 - 15*r - 27. Let p(x) = 11*t(x) - 6*v(x). Let h(n) = 11*n**2 - 2*n - 9. Determine -6*h(o) - 7*p(o).\nAnswer: 4*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 33.9392. Let j = -0.067 - v. What is j rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.059 in 0.2, 29, -0.4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -112880 divided by -4\nAnswer: 28220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 0.3, 5, 4, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*p + 228. Suppose -3*k = 4*b - 228, k - 4*k + b = -p. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**4\/24 - n**3\/3 + 7*n**2. Let x be o(4). Let v(g) = 5*g**2 + 13*g - 9. What are the prime factors of v(x)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337166440 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: Let f = 6559.9 - 6562. Let d = -31.2 + 29. Let v = d - f. Which is smaller: v or -15\/2?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a hour in seconds?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = -12*c + 9*w + 6, 2*w = -3*w - 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -691181, -56, 1.\nAnswer: -691181, -56, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 0 - 46519*l - 1 + 46541*l + 1. Let p(c) = -3*c**2. Determine p(d(w)).\nAnswer: -1452*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 s when four letters picked without replacement from zsssssssspsssssssss?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 2 + sqrt(252) + sqrt(252) - -5*sqrt(112))*3)**2.\nAnswer: 1368*sqrt(7) + 91008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*n + 4 = 0, -4*z - n = -6 + 2. Is ((-2)\/2)\/(z\/(-131)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -5\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -581\/858 - -3\/286. Which is the nearest to m? (a) 7 (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.68, 0.0111, 5, -31 in decreasing order.\nAnswer: 5, 0.0111, -0.68, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -8, 1\/9, -0.3, -231, -7, -1\/5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -3*s + 41 - 47, 4*s = 5*t - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 877073.2nm?\nAnswer: 0.8770732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 132274654, 264549307, 396823960, 529098613?\n\"Answer: 132274653*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1465, 11079, 37091, 87673, 170997?\nAnswer: 295235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -35, -5 in descending order.\nAnswer: 2, -3, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 (base 12) in base 8?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d9 (base 16) in base 10?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(((o**(-2\/7)*o)\/o)\/o*o*o)*o)**(3\/7))**(2\/183))**(11\/5) assuming o is positive.\nAnswer: o**(198\/14945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*n + 7 = -2*l - 55*n, -4*l - 23 = n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -18*i**2 + 5*i. Let g(w) = 9*w**2 - 3*w. Let h(n) = 7*g(n) + 4*r(n). Let q = 3 + -2. Suppose l + 2 = q. Give h(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000033786 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -54*f - 5. Let g(x) = 108*x + 11. Give 6*g(j) + 13*m(j).\nAnswer: -54*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 66674660?\nAnswer: -133349320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -608*x + 123242. Calculate b(203).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.075 (b) 3 (c) 5 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39879587?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 829461992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 70*j**2 - 15*j - 66. Is i(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79536 + -44778. Is 22 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1697 and -13114137.818.\nAnswer: -13112440.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 83 + 237 = 0. Calculate the lowest common multiple of 196 and a.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5411.7096 rounded to the nearest 10?\nAnswer: 5410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + (135\/8)\/(-3) and -41\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 484 - 480. What is the third biggest value in -0.1, -3, 10, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -794*i + 7169. What is l(9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 173024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14988009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 6*x - 3 = 9*x, -13 = -2*y + x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-18))\/(2\/(-12)). Suppose 0 = t*g - 1 - 8. Factor g*x**3 + 6*x**2 + 12*x + 8 - 5*x**3 + 3*x**3.\nAnswer: (x + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -281, -1042, -2555, -5072?\nAnswer: -8845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 + -57. Let p = x + 4.7. What is the closest to p in -1, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(2695) - (sqrt(2695)*5 + sqrt(2695))))\/(6*(3*sqrt(77))\/sqrt(7)))**2.\nAnswer: 153125\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3)*u*u**(-11))**(10\/9) assuming u is positive.\nAnswer: u**(-320\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-244)\/(-3) + (95\/(-15) - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 14*p - 45. Suppose p*a - 3*l = 228, -5*a + 215 = 2*l - 193. Is 40 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, o: 2, z: 1, r: 1, t: 2, n: 1}. Give prob of sequence knor.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i - 1. Let r(a) be the first derivative of -2*a - 19 + 3\/2*a**2. Give -4*o(t) + 3*r(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -89, -207, -357, -539, -753, -999?\n\"Answer: -16*m**2 - 70*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*g - h - 144, g + 5*h = -48. Calculate the remainder when 12 is divided by ((-4)\/(g\/15))\/(5\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43240033 - -2?\nAnswer: 43240035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54147523*d**2 - 2442*d + 1694?\nAnswer: 108295046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -125 - 22723?\nAnswer: -23050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 35. Let h be f*(-4)\/48 - (-538)\/4. Calculate the common denominator of -43\/12 and ((-44)\/(-84))\/((-10)\/h).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 5. Let l be c(0). Suppose 5*f - 8 + 2 = z, -5*z = -4*f + 9. Suppose g + f = -0*g. Sort -4, l, g.\nAnswer: l, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibm when three letters picked without replacement from ebbieiimiieiib.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 9828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p + 40. Let u = 26 - p. Let n be -194*14433 + u\/8. What is n rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 + -91 + -2 + 66.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 19. Let v be (1\/1)\/(i\/60). Let y(f) = -11*f - 60. Let t be y(-6). What is the greatest common factor of t and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 1.9, -0.1, -5, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3630 + 21018 = 573*g - 90*g for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -44406, 2 in decreasing order.\nAnswer: 2, -5, -44406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*z**3 - 3*z**3 + 3 to the form w*z + c*z**2 + d*z**3 + g and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9781932 kilograms to grams.\nAnswer: 978.1932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 784825661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Find the third derivative of -h*o**3 - 116*h*o**2 - 2*o**4 + 25*o**3 - 2*o**2 wrt o.\nAnswer: -6*h - 48*o + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/9, 3\/4, 20.\nAnswer: -2\/9, 3\/4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 11 + 5. Let k = -7 - z. Let q = 0 + 0. Which is the closest to 0.1? (a) q (b) 2\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2651?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/448)\/(11\/((-2156)\/(-168)))*40\/(-18).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**5\/4 - 7*c**4\/12 + 2*c**3\/3 + 7*c**2\/2 - c + 35. Let b(z) = z**3 - z**2 + z + 1. Determine -4*b(a) + x(a).\nAnswer: a**3 - 3*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*w**5 - w**4 - 2239*w**3 + 2*w**2 - 5*w + 15 wrt w?\nAnswer: -180*w**2 - 24*w - 13434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16533 is divided by 7975.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - -2) + 4 - -72 - -3. Suppose 10*x - 280 = -10*x. Calculate the highest common factor of x and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3126*c**2. Let j(a) = -a. Determine b(j(v)).\nAnswer: 3126*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4732 in -1\/6, -0.5, 2, -1, -25\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**5\/20 - 5*w**4\/12 - 7*w**2\/2 + 106*w + 1. Determine l(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 8 = 10*b. Let t(y) be the first derivative of -1 - 4*y + 1\/2*y**b. What is the first derivative of t(c) wrt c?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 925339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*o - 4442 + 4442 as j + t*o and give t.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqic when four letters picked without replacement from {i: 4, q: 9, c: 4}?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3*d - 6, 6*i - 2 = i + d. Suppose i = -5*l + 53 - 13. Solve -23 + l = -5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - 0.2. Let t = -228 + 231. Let m = -173\/2 + 85. Which is the nearest to t? (a) m (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 3:52 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -102505 divided by 3\nAnswer: -102505\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 10*w + 5. Let a be k(10). Suppose 1 = -5*j + a*b + 46, 0 = 4*j - b - 30. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 18*c - 2. Let m be i(2). Let o be 8\/(-10)*(6 - 1). Let f be (48\/(-8))\/(o\/34). What is the greatest common factor of f and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-10) + 0 - 721\/(-5). What is the greatest common divisor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(27)*-2)**2.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -6 (b) 36 (c) 0.1 (d) 3\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 2*a**2 + 5*a - 13. Let x(m) = 2*m**2 + 6*m + 5. Let u(i) = -7*i**2 + 5*i - 1. Let z be u(1). Let s be x(z). Is 37 a factor of d(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -767*j + 775*j - 16 = 0. Solve 2*g - j = b, -9*b + 5 = -5*b + 5*g for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 20. Suppose -t + 3 + y = 0. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2078772943?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (sqrt(2299) + 2 + sqrt(2299)))*2*-1)**2 - (-4*-4*sqrt(2299)*3)**2.\nAnswer: -5287684 + 176*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 + 12*w - 3. Let t be b(3). Suppose t*h - 2*h - k = 16, -41 = -5*h - 4*k. What is the remainder when 6 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**3 - 4*q**3 + q**3 - 2 + 0 + 9*q**2 + 3 to the form i*q**2 + z + p*q + l*q**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010692716 to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21247871, -6, 0 in descending order.\nAnswer: 0, -6, -21247871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.00231 centuries in decades?\nAnswer: 710.0231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.6 + -42.6. Let w = -33.6 - t. Which is the third biggest value? (a) 4\/3 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times -974\nAnswer: 87.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -753 + 807. Calculate the highest common factor of 4266 and q.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 1\/2, -14.7, 6\/1841?\nAnswer: 6\/1841","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 9*p - 5. Let d be r(-5). Suppose -2*v + 7*v - 185 = -5*f, d = -3*v. What are the prime factors of f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/33, -0.09, 0.5, -513, 2?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 bigger than 468\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 g when three letters picked without replacement from mbmnndgnggdn?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 1 + 2. Let f = 2 - 3. Let b = f + o. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1176, 1752, 3372, 6576, 11904, 19896, 31092?\nAnswer: 46032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 698994 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 6 = -3*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 12527\/3)\/(735\/(-45) + 16). Round b to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-3 - -1 - -3). Let s = 5 + f. Suppose -s*b - 137 = -5*p, 4*p + 40 - 164 = -2*b. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 75, -4, -2\/5?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - sqrt(112)\/sqrt(4)*4)\/(sqrt(100) - (-1*sqrt(100) - sqrt(100)) - sqrt(100) - sqrt(4)))**2 - -1*((sqrt(7) - sqrt(49)\/sqrt(7)) + 4)**2*5.\nAnswer: 727\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 0*r**3 + 0*r + 23*r**2 - 1\/120*r**5 + 1\/6*r**4 + 0. Solve w(s) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 23041557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*j**3 + j - 30*j**3 + j - 5*j**3 as c*j**2 + h*j + x + a*j**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 6*p + 1. Let t(x) = -6*x**3 - x**2. Suppose -j = -65 + 66. Let b be t(j). Is 7 a factor of v(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1637 (b) -4\/5 (c) 2856 (d) -1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1668767.\nAnswer: 191, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000463 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhyyjhhzhjjzyjyjhj. What is prob of sequence yh?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-27))\/(((-102)\/(-85))\/(261\/4495))?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (293 + 40 - 29)*(-15 + 15 + 116*s - 57*s - 77*s) to the form i + y*s and give y.\nAnswer: -5472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -1\/8*w**5 - 5\/24*w**4 + 1\/3*w**3 + 153*w + 1\/60*w**6 + 1\/84*w**7 + w**2 + 0. Solve a(g) = 0 for g.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-10) + 76\/(-38)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lle when three letters picked without replacement from {e: 2, l: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2. Let q(i) = 2*i**2 + 5*i - 7. Let r(n) = 5*d(n) + q(n). Give r(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + -850?\nAnswer: -862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 366*7\/((-63)\/(-6)). Let y be 4\/14 + o\/28. Let q be ((-5)\/(-14))\/((-525)\/420). What is the closest to y in q, -1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*o - 5*o + 33*o - 131 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + o**2 + 2*o - 3. Suppose 8 - 14 = -2*m. Let x be (-52)\/20 + m - (-16)\/10. Determine g(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37839805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2741018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 9*v - 5. Let n be w(-6). Let x be ((-4)\/6*-9)\/2. Suppose -2*t + j + 2*j + n = 0, -3*t - x*j - 3 = 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833 a factor of 44937420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -3.1 and -244.17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44\/67 + -2927\/134. Find the common denominator of 11\/84 and g.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from jjljjjjljjjj.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (20991 - -1)*2\/20 - 257\/1285 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 5*l + 22, 24 = 21239*n - 21236*n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 15*l = 55, 5*l = -g - 21 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - i + 2*i + (1 + 1 + 0)*(-6*i + 3*i + i) + 2*i + 2*i - 3*i - 2*i + 1 + 2 + 4*i.\nAnswer: 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2 = 8. Let r(z) = -z**2 + 3*z + 3. Let o be r(q). What is the units digit of o*(1 - 2)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 1:55 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*h - 16 - 2, -12*h + 13*h + 7 = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 + 11*g**3 - 12*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1545735 is divided by 135?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2816 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-528)\/22*(-2)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**4 + 4*o**2 - 4470799*o - 48181767 with respect to o.\nAnswer: 8*o**3 + 8*o - 4470799","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -390287*u - 311140?\nAnswer: -390287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q = 15*q + 288. What is the least common multiple of q and 45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 18, 0.9, 1\/25.\nAnswer: -5, 1\/25, 0.9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1310, 2606, 3914, 5240, 6590?\n\"Answer: i**3 + 1289*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(29\/5)\/y)\/(y\/y**(-15\/2)) assuming y is positive.\nAnswer: y**(-37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2)\/(7\/(-7658)). Let b = 552 + o. Let y(p) = 46*p**2 - 16*p + 16. Let n(x) = 15*x**2 - 5*x + 5. What is b*y(m) - 16*n(m)?\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 100*j**3\/3 - 3*j. Let t be z(1). Round t to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 - -159. What are the prime factors of q?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 1258935*i**2 + 3*i**3 + 1258935*i**2 - 4*i**3.\nAnswer: -i**3 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*((-8)\/(-10))\/((-800)\/(-500)) + 16?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**3\/3 + w. Suppose -6 = -3*t - 0. Let x(s) = -3*s**2 + 3 + 2*s**t - 3. Calculate r(x(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68806 (base 15) to base 9.\nAnswer: 556156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -9*m + 53. Let f(h) = 4*h**2 + 16*h + 107. Is f(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 910.9067 meters to kilometers.\nAnswer: 0.9109067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16862691 divided by -7?\nAnswer: 16862691\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77720*r - 70168*r = 709888 for r.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ca630 (base 15) in base 5?\nAnswer: -1221431040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 12 - 12 + 22*h - 18*h. Let c(p) = 6*p + 2. Determine i(c(f)).\nAnswer: 24*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -1)\/(-1) - -6. Let a(n) = 3*n - 15. Let q(x) = 1. Let r(u) = -a(u) - 6*q(u). Give r(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -37 (b) 0 (c) 0.4 (d) -4\/3 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c**2 - 5*c - 5. Let b(q) = q**2 - q - 1. Let a(d) = 5*b(d) - w(d). Let s(f) be the first derivative of 11*f**2\/2 + 3. What is s(a(x))?\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2*g - 1258, 3*g = 4*d + g - 1674. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjwri. What is prob of sequence jmr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x = -10*x - 738. Suppose -2*z = 4*z - x. Suppose -1 = -3*g - 5*o - 14, 9 = -4*g - 5*o. Solve -2*r - 3*r + z = g*p, 4*p = 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 245 = -60*d + 74 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 divided by -8?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 263340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2950*i + 377610. Give s(-128).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**3 - z**2 - 2*z - 3. Let u be m(2). What is the highest common factor of u and 150?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugx when three letters picked without replacement from {u: 1, g: 2, c: 1, n: 1, x: 1, d: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 y when four letters picked without replacement from {x: 1, e: 11, y: 7}?\nAnswer: 385\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 15*b - 18. Let c(k) = -33*k + 38. Let i(f) = 6*c(f) + 13*h(f). Calculate i(8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 6 = 2*s, -12 = -3*s + 3. Let r be (-6)\/4 + 2\/4. Let t = 105 + -99. Sort l, r, t in ascending order.\nAnswer: r, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**3\/3 + 2*v. Suppose 6*n - 2*n = 0. Let r(x) = 3*x**2 + n*x + 0*x. Determine r(b(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9561146927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**2 + 3*h**2 + h**2)*(-70 - 41 + 0)*(-4*h**2 + 3*h**2 - 2*h**2) to the form l + k*h**4 + z*h**2 + d*h**3 + f*h and give k.\nAnswer: 1665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*l + 76*l - 16*l to i + d*l and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z**3 + 4*z**2 + 3*z. What is the tens digit of o(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-363)\/((-275)\/(-25)) - 11. What is the closest to -1.5 in -2, 5, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 9*q - 24 = -3*h, -26 = -3*q - 4*h. Let c(f) = 128*f - 60. Let l be c(q). Suppose l + 34 = 2*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757 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: Let z = -174053\/21 + 8289. Calculate the common denominator of z and 117\/196.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gygmgmbbgssyom. Give prob of sequence bgmm.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) 0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**(-4\/5)*w\/(w*w*w**(-1\/3))*w**5 assuming w is positive.\nAnswer: w**(41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271800043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**2 - 10*r - 11. Calculate b(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 38*j + 1289. Calculate i(-34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6583228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)*m**(-2\/21))**(1\/23)*(m**(-1)\/m)**(-1\/6)\/(((m*m\/(m**(-3\/7)*m))\/m)\/((m*m**(-2\/3)*m*m)\/m*m)) assuming m is positive.\nAnswer: m**(1016\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 4:36 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 38*h**3 + 5*h**2 - 30*h + 108. Let l be g(4). Calculate the greatest common divisor of 20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2023537647?\nAnswer: 3, 17383, 38803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 750, 3176, 7232, 12918, 20234, 29180, 39756?\n\"Answer: 815*n**2 - 19*n - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78*f + 94*f + 174*f + 117*f)*(-2 + 4 + 0).\nAnswer: 614*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 456843 greater than or equal to 456844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 - 9*r - 2. Let h be x(7). Calculate the highest common factor of 363 and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(1\/9)*k)\/k)\/(k**3*k))**(-32)\/((((k\/((k\/k**(5\/2))\/k))\/k)\/(k*k**0))\/(k*k**(1\/2)*k*k*k**(-5))) assuming k is positive.\nAnswer: k**(805\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2750 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 22 = -2*x - 0, -5*h - 22 = -2*x. Let f = -6 + x. Let c = 1 + f. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -4332953?\nAnswer: -8665906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 19 = -1. What is the third derivative of -h**5 - 22*h**o - 8*h**6 + 11*h**2 - 113*h**2 + 14*h**2 wrt h?\nAnswer: -960*h**3 - 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 1\/30*g**5 + g + 0*g**2 + 0*g**3 + 1\/108*g**4 + 4\/135*g**6 + 3. Let v(m) be the first derivative of z(m). Factor v(c).\nAnswer: c**2*(2*c + 1)*(4*c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**4\/4 + 2*h**3 + 7*h**2\/2 + 7*h + 3. Is d(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4446*y - 2404*y - 725*y + 2333*y + 1717*y + 8521*y.\nAnswer: 13888*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - sqrt(165)\/(sqrt(9)\/sqrt(3)))\/(sqrt(5)*-2*3 + sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5787 + 1310*u - 2616*u + 1308*u as m + r*u and give m.\nAnswer: -5787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -314 - 300120?\nAnswer: -300434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51\/2 + -26. Suppose -5*k + 76 = -4*a, 3*k + 96 + 73 = -5*a. Which is greater: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a - 2*a + 13 + 10*a + 2*a**3.\nAnswer: 2*a**3 + 19*a + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4081, -25, -99, -1 in ascending order.\nAnswer: -99, -25, -1, 4081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1373*z**4 - 75*z + 4?\nAnswer: -16476*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87868 is divided by 21967?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/330 and 125\/12?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((3 - (-42)\/(-15)) + -1)\/((-114)\/513). Let 0 + 6\/5*t**3 + 0*t + v*t**2 = 0. Calculate t.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**3\/4 + 17*g**2\/4 - 837*g\/4 + 819\/4 = 0.\nAnswer: -39, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**2\/2 - 159*p - 8427\/2 = 0. Calculate p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 323 and 1717?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 9*m**2 + 15*m**2)*(5*m**3 + m**3 + 2*m**3).\nAnswer: 192*m**5 - 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.516 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-2)*(-2)\/(-1). Suppose 4*q - 5*f = 21, 3*q = 4*f + 21 - 4. Let g be (3 - 2)*y\/q. Solve -m + g = -2*k, 5*m = -4*k + 3*m - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0.1. Let s(z) = -z**3 + 2*z**2 + 3*z + 3. Let d be s(3). Let p = -294\/5 - -59. Which is the nearest to i? (a) p (b) d (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4486*n**2 - 2 - 4288*n**2 + 0)*(-2 - n + 2) in the form f*n**2 + u*n + p + o*n**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 + -10.1. Let h = s + -7.6. Round h to 0 dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189558 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*l = -4*m + 65, 0 = -4*m - 5*l + 125. Suppose m = j + j. Let i(a) = -3*a**3 - 3*a - 1. Calculate the remainder when i(-2) is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -85 - -242?\nAnswer: 18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-8) - (-2149)\/28. Suppose -6*s + 2*s + g = 0. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.22869 + -6.8556. Let z = 0.376 - j. What is z rounded to four decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 2) + 1 + 2. Suppose 18 = h*g - g. Calculate the remainder when 17 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91920 - 94584 = 444*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 8*z**2 - 3*z - 8. Let n(d) = -36*d + 28. Let h be n(2). Let s = h - -51. What is v(s)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.56 + 3.365. Let a = q + -0.75. What is a rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*t**2 + 702*t - 5648928.\nAnswer: 3*(t - 326)*(17*t + 5776)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times 0.04772\nAnswer: -0.0033404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -8*w**3 - w**2 - 2*w + 2. Determine z(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 8 = -4*o. Let l(m) = -o - 2 - 4*m - 1. Let f(g) = -g - 1. Calculate 3*f(z) - l(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 (base 6) in base 3?\nAnswer: -10021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 0.4, -75 in descending order.\nAnswer: 2, 0.4, -2, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {q: 1, r: 1, b: 2, a: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 5:12 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35.961 + 0.439. Let t = -45 + g. What is t rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -49, -94, -153?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/4 - ((-410265)\/82065 + 4). Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*s + 6 = 0, -2*s + 8 = 2*s. Let m = a + 12. Suppose 0 = -3*o + 4*o - 3*w - 4, 4*o - 2*w - 66 = 0. What is the remainder when o is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*v = v + 4, 0 = v. What is the units digit of 127 + -3 + p\/(-4) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149857?\nAnswer: 277, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14609*v = 14605*v + d + 20, 4*v = -5*d - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 f, and 1 d when four letters picked without replacement from gfdfdffdgmd?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 + 62. Suppose 0 = -3*j - 4*n + 5843, -g*j - 3*j = 5*n - 9735. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 781, 1462, 2067, 2608, 3097?\nAnswer: 3546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 less than 1\/1819401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 3:47 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -665*g + 9976. Give l(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -18807 < -18806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 310*m**2*z**4 + 4*m**2*z**3 - m**2*z**2 - 3*m**2*z + 2*z**4 - 2*z**2 - 46*z wrt z.\nAnswer: 7440*m**2*z + 24*m**2 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60973?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**5\/2 - 29*c**4\/2 - 113*c**3\/2 + 557*c**2\/2 - 207*c = 0?\nAnswer: -23, -9, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1006799494169 take away 0.2?\nAnswer: -1006799494169.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-24 - -14))\/(-2*2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t**3 - 2*t**2 + 2*t - 9. Let p(l) = -17*l**3 - 7*l**2 + 7*l - 28. Give -7*n(r) + 2*p(r).\nAnswer: 8*r**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 553225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.3. Let d = 57\/115 + 12\/115. Which is the nearest to g? (a) -4 (b) 1\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 11. Suppose i = -4*f - 12 - 0. Calculate the remainder when 24 is divided by (f + 1)*(-72)\/16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20, -31, -5\/6, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 4*c**2 + 0*c - 1\/6*c**4 + 0 - 5\/6*c**3. Let l be q(-2). Solve -18 = -5*m - p, 4*p = 2*m - l*m - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7509166 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven halves of a millisecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 5*g - 75, -5*g + 6*g = 5*f - 75. Suppose 22*b - f*b - 98 = 0. Let q = 387 - 233. What is the highest common factor of b and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y = 34*y - 84. What is the greatest common factor of 42 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/8 - 1161*t\/2 + 4647\/8.\nAnswer: -3*(t - 1)*(t + 1549)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, m: 1, e: 3, c: 5, v: 1}. What is prob of picking 3 c and 1 v?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 2*o. Let v(u) = -3*u. Let j(n) = -3*s(n) - 2*v(n). Let t(d) = -d. Calculate j(t(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.05, -4, 0, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(25\/((-75)\/2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -448*d + 1962*d - 445*d - 1062*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 + 2*d - 19. Let c be k(15). Suppose 358 = n + 2*y, 2*n - y - y - c = 0. List the prime factors of n.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -765 divided by 17?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (0 + sqrt(432) + 0 + 4 - 2*(-1*sqrt(432) + -3)) + 4)**2.\nAnswer: 1008*sqrt(3) + 4084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -269.\nAnswer: -1\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29640)\/285*((-108)\/(-352))\/9*2.\nAnswer: -78\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52.501 + -1.221. Let s = -51 + u. Let h = 1.91 - s. What is h rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 55*r**3 + 860*r**2 - 4915*r - 26600 = 0. Calculate r.\nAnswer: -19, -40\/11, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35768391259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 18*t + 6790. Give v(92).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 9*m - 6. Let z be r(-8). What is the third derivative of -8*x**2 + 9*x**2 + 10*x**z - 8*x**6 wrt x?\nAnswer: -960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2212 + 2?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3371, 3400, 3465, 3572, 3727?\n\"Answer: h**3 + 12*h**2 - 14*h + 3372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -2\/9, -3, -4.11, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 21 = -0*f. Suppose -f*w = 5*s - 100, -w - 3*s + s = -32. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = q - 5*p - 0*p, -7*q - 311*p = -331*p + 64 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1219*z**2. Let h(c) = 4*c. Determine h(x(r)).\nAnswer: -4876*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 266.044473 microseconds?\nAnswer: 0.0000000030792184375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q. Let c be p(-3). Let i(w) = -5 - 6*w - 2*w**c - 3*w + 2*w. Let u(j) = -j**3 - 3*j - 2. Calculate -2*i(s) + 5*u(s).\nAnswer: -s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28429143 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7600613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 10*c**2 + 13*c + 27. Let j be l(-11). Let b be (4 - j*6)\/(-2). Suppose -4*v + 364 = -0*v. Calculate the greatest common factor of v and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/28*(-1008)\/(-4212)*-9?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 19*a**3\/3 + 2*a**2 - 8*a - 10. Is d(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*k - 68 = 0. Suppose 3*x = -3, 4*j - j = -x + 53. Let d = j + k. Solve 0*t - t = d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*q**3 + 1 + 21*q**3 - q + 2*q**2 - 6*q**2 as m + r*q + f*q**2 + l*q**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 - 16*q - 15. Let x be m(-6). What is the units digit of 788 + (-6)\/18*x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 285487.3 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 124158111?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.82 - 16.18. Let q = 1294682.99997 - 1294709. Let b = q - i. What is b rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 828\/(-432) - 34 - (25\/60)\/5?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -17*h**2 - 8*h - 40. Let a(g) = 45*g**2 + 21*g + 105. Let q(x) = -8*a(x) - 21*p(x). Let u(v) = 4 - 6 - 16*v**2 + 2. Determine q(u(b)).\nAnswer: -768*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w + 6 = 18*w. Let o(q) be the third derivative of 0*q - 3\/32*q**4 - 1\/120*q**6 + 0 - 5*q**2 + 0*q**w - 1\/20*q**5. Determine t so that o(t) = 0.\nAnswer: -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v**2 - 33*v - 4. Let j be g(9). Is 185 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -476 * -2812853\nAnswer: 1338918028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-8 - -8) + 6 - (-1 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 12330242233?\nAnswer: 12330242232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009816828 to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*u = 8, -c - u + 4 - 2 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34*d - 10*d - 14*d + 101*d + 58*d + 168 wrt d?\nAnswer: 169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 73024?\nAnswer: 73022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 7436, -0.3, -500, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/2*-1 - -4. Suppose 2*l + 12 = 6*l. Sort 0, l, n in increasing order.\nAnswer: 0, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/3))**13 assuming w is positive.\nAnswer: w**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + -8. What is the smallest common multiple of 28\/6 - ((-78)\/9)\/i and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 95 = 6*w. Solve 8 + w = 10*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (13 - -1) + -3 + 14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7166 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from {l: 3, f: 5, z: 7, q: 1}?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14106*p - 2*f = 14099*p + 188, 180 = 7*p - 4*f for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327 + 116*v - 327 - 131*v + 11*v**3 - 9*v**3.\nAnswer: 2*v**3 - 15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99027?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (12 - (-3 + -3 - (-7 + 8 - 10)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4347 + 4380. What is the least common multiple of (-19 + 2 + -4)\/(-1) and z?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -29 (b) 23\/2907 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 2*n - 1. Let k be v(-2). Let j = k + 11. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-254)\/88 - (21\/(-11) + (-1080)\/990)).\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 408115 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1828421*0.119\nAnswer: -217582.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7533027778 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2863789427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1460)\/219*(2 + 39\/(-6)) and 1290.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3219 + 118?\nAnswer: 3337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b + 3*b - 45*b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*k - 1423 = -1108 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 285 and 1263215?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46656950 + 13*l + 46656950.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**3 + 36*t**2 - 8*t**3 - 37*t**2 - 1 as c*t**3 + l*t + f*t**2 + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3861 and 858?\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from {s: 2, c: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 18. Find the second derivative of -7*g + 22 - 12*g**2 + 3*g**z - 22 wrt g.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2170*y - 529. Is x(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 19503.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-110)*((-84)\/6 - -19). Let q = -4 - -3.2. Which is the fourth smallest value? (a) q (b) 1\/3 (c) -3 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 35 = -2*p. Solve 2*f + p = -1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 724*q - 23218 = 638 + 16688 for q.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 7:21 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 9:04 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*a + 0 + 42*a - 80*a + 59*a + (5*a + 0*a - 4*a)*(-4 + 3 + 0) - 5*a + 3*a + a - 2 + 2 - a.\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 9\/6)*4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20608471, 20608473, 20608477, 20608483?\n\"Answer: q**2 - q + 20608471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*z - 1 + z - z + z + (2 + 2 - 6)*(3 - 3 + z) + 0*z + 2*z + 0*z - 18*z + 33*z - 17*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 4371, 64?\nAnswer: 4371","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4*z + 5, 2*z + 7 = -u + 2*u. Solve 0*s = 2*s - 2*w + 10, w = 2*s + u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l - 87. Determine n(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1604\/1113?\nAnswer: 1604\/1113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/135904249?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -1047*h**5\/10 + 571*h**4\/6 + 1678*h. Find the third derivative of o(t) wrt t.\nAnswer: -12564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v**2 + 0*v + 5*v - 4*v)*((6*v - 3*v - 2*v)*(v - 3*v + 0*v) - 16*v**2 - 368*v**2 + 47*v**2).\nAnswer: -2373*v**4 - 339*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.6932 decades in months?\nAnswer: 4883.184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83.08 - 85.0235. Let c = 0.0565 - f. Is -1.42 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 704ad (base 14) to base 15\nAnswer: 54e4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 at most 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by 33990?\nAnswer: 37\/33990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26514*t = 26518*t + 4*l + 60, -t - 2*l = 20 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 16*x - 19*x + 5930 = 0, 5*t = -5*x + 14825. What are the prime factors of t?\nAnswer: 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0)\/(1\/2*6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 11*h - 41. Determine i(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1438262 (base 9) to base 7\nAnswer: -6513014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 101c?\nAnswer: -1019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/3 - -2)*-3. Suppose 48 = 2*k + 2*k. Let f be ((-16)\/k)\/((-4)\/6). Is z > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 6. Let w be k(-6). Suppose w = 4*x + 559 + 713. Is x\/(-14) - 2\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4*d = d + 307 - 310, -2*t + 5*d - 27 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3 = -2*q - 2, 4*t - 12 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrwr when four letters picked without replacement from rwwwrwrrrrwwwr.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001723 rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20773 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 - -23. Let l = s + -31. Calculate the least common multiple of 22 and l.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125 - 69. Suppose -i = 4*b - 8. Let c be (b\/(-6) - 3)*13. Let r(o) = -o**3 - 12*o**2 + 13*o - 1. Determine r(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88240937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**5 + 7*d**5 - 4*d**5 + (-5*d + 0*d + 3*d)*(d**4 + 0*d**4 + 0*d**4) + d**2 + d**5 - d**2 - 2*d + d**5 + 2*d.\nAnswer: -d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0729 or -2037310?\nAnswer: 0.0729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82165519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -151 - -142. What is the second smallest value in 2, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114.9 + -101. Round r to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3 - -226173998700.\nAnswer: 226173998697.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + o + 1. Let v(s) = 488*s**2 - 477*s**2 + 5*s - 2*s - 7 + 9. What is 6*b(n) - 2*v(n)?\nAnswer: -28*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1480?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -11, 1\/4, -0.062?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -32, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 6*z + 3*q + 6, -2*z + 4*q = 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243.0266g to milligrams.\nAnswer: 243026.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -43*r**2. Let t(g) = -4*g**2 - 5. Let a(u) = u**2 + 1. Let x(m) = 10*a(m) + 2*t(m). Calculate x(j(s)).\nAnswer: 3698*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84 or -16?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1769, -14055, -47391, -112301, -219309, -378939?\nAnswer: -601715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8*h**2 - 116*h + 21. Let s be w(14). Sort 5, -0.4, s, -3.\nAnswer: s, -3, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**2 - p**3 - 13 + 1472*p**4 + 1476*p**4 - 4420*p**4 - 5*p + 1471*p**4 to a*p + d*p**2 + b + c*p**3 + m*p**4 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (12 - -2))*20\/(-50). Let o(y) = 8*y**3 - 7*y**2 - 7*y + 7. Let q(g) = 7*g**3 - 6*g**2 - 6*g + 6. What is b*o(u) - 7*q(u)?\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100754 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**2 + 2*r + 0*r**2 - 4*r)*(-182*r**2 + 38*r**2 - r - 269*r**2).\nAnswer: -2478*r**4 + 820*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 + -81. Factor 21*k**2 + 15*k**2 + k**5 - x*k**4 - k**3 - 34*k**2.\nAnswer: k**2*(k - 2)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19340535 divided by -1\nAnswer: -19340535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, o: 18}. Give prob of sequence rrrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -14495*k**2\/2 - 10127*k - 6392. What is the first derivative of t(i) wrt i?\nAnswer: -14495","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 711 and 925959.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 80? (a) -2865 (b) -2\/9 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o**(-9\/7)*o)*o**(-7)*o*o\/(o**(-5\/3)*o*o)*o**(-1\/6) assuming o is positive.\nAnswer: o**(-73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 - 16*t - 2. Let g be w(-7). What is the second derivative of g*y**2 - 28*y**2 - 29*y - 3*y**2 wrt y?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -116 * -1046184.\nAnswer: 121357344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27.000002 + 27. Round o to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152027602?\nAnswer: 2, 11, 103, 163, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -16*m + p, 0*m - 2*p - 2 = 2*m + 30 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 1:14 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1328*x**2 + 1. Let i(k) = 3*k**2. Calculate i(f(p)).\nAnswer: 5290752*p**4 - 7968*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/17 + 1334*c\/17 + 1332\/17 = 0. Calculate c.\nAnswer: -666, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -812\/3523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2201c4 - -a9?\nAnswer: -220119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**3 + 0 - 7*y - 7\/12*y**4 + 1\/20*y**5 - 11\/2*y**2. What are the prime factors of x(9)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203100 (base 4) to base 5\nAnswer: -33011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63612.5 - -63613. Let c = -43 + 107. Sort u, -5, -3, c in decreasing order.\nAnswer: c, u, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9023\/218 + -12\/109. Let u = 125\/3 + r. Sort u, 4, 2.3 in descending order.\nAnswer: 4, 2.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6944000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) + 0)*-6)**2 - -5*-2*sqrt(72)) + 5 - ((sqrt(72) - (-3 + 4*sqrt(72)))**2 - (4*sqrt(72) - sqrt(72))*4).\nAnswer: 120*sqrt(2) + 1940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -194, -192, -192, -194, -198?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*3\/(-2) - 95\/38. Is b < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 13*y + 15. Suppose 13*z - 11*z = -22. Determine o(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 11 = -53. Let s be 2 - (-7)\/((-21)\/6). Suppose s = -5*x + x + m. Which is smaller: x or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -536*g*k*l**2*n**2 - 2*g*k*l*n + 2*g*k*n**2 - g*l**2*n**3 + 5*g*l*n**2 + 5*g*n**3 + 3*k*n**3 wrt l?\nAnswer: -1072*g*k*n**2 - 2*g*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 (base 9) in base 6?\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/130 in 2, 0.2, -2, 3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 561 + -565. Which is the closest to -1? (a) r (b) -0.1 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -96?\nAnswer: 9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 11399220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*x - 154. Let r = -39 + x. Calculate the remainder when r is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -8471, -1, -2 in ascending order.\nAnswer: -8471, -5, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -26. Let b be -40*(27\/12)\/(-3). Find the second derivative of -b + 5*l + x - l**2 wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*u + 59 + 61 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/19, -1\/4, 0, -5\/2, 5, 2.4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16 - 18) + (1*10)\/2. Suppose -2*x + 519 = -5*y - 110, -975 = -3*x - i*y. What are the prime factors of x?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5 + 3. Let m = 0.1 + -0.1. Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -32, -67, -120, -197, -304, -447, -632?\nAnswer: -865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65967917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -3. Let g = 3 - y. Calculate the least common multiple of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124029 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-2))\/(138\/(-1748)). What is the highest common divisor of 5111 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575851 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*o - 63, 3*o - 4*g + 34 = -14. Round o to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14, -46, -88, -146, -226, -334?\n\"Answer: -c**3 + c**2 - 28*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 - 50. What is the smallest common multiple of m and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5430, 9037, 12644, 16251, 19858?\n\"Answer: 3607*h + 1823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3\/4 (b) -0.2 (c) 287 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1352162*i**2 - 2136984?\nAnswer: 2704324*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 23 + 1 = 0. What are the prime factors of ((-42)\/o - 0)*-4?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 12*v**2 + 78*v - 731. Let t be i(11). Factor -14*g - t + 1\/2*g**4 - 19\/2*g**2 - g**3.\nAnswer: (g - 6)*(g + 1)**2*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/13, 338, 0.7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*f**5 - 669*f**4 - 627*f**3 + 174*f**2 + 72*f = 0. What is f?\nAnswer: -1, -1\/4, 0, 2\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1222546 (base 8) to base 16\nAnswer: -52566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - k + 9. Let f = k + -5. Suppose -f*w + 16 = 2*q, -3*w + 10 = 5*q - 16. Let s(i) = -i**3 + 4*i**2 + i + 4. Calculate s(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/55 and 67\/1140.\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**20\/(y*y**(1\/9)\/y))\/(y\/y**(3\/8))**(29\/2) assuming y is positive.\nAnswer: y**(1559\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1919559936.9 and 0.256?\nAnswer: 1919559937.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/31))**(-22) assuming u is positive.\nAnswer: u**(22\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12376 + -12375.6. What is the biggest value in w, -0.008, -1, -2\/5, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-100) - 18\/10. Let i be d\/(2\/(-4) + 22\/55). Solve i = t + 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a. Let l(r) be the first derivative of -2 + 0*r - 15\/2*r**2. What is l(k(i))?\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -18520 divided by 40?\nAnswer: -463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 19. Let r be p(12). Suppose 43 = r*w - 3*w + 3*x, -2*w - 3*x = -17. Calculate the remainder when 24 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 19*f - 18. Let d be s(18). Solve -t + 4 - 2 = d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 38. Suppose d + 4*j - 24 = 46, -l*d = -2*j - 226. List the prime factors of d.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3660 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 23*g**2 + 9*g - 9. Let k = 252 + -256. Let c(u) = 12*u**2 + 4*u - 4. Give k*i(j) + 9*c(j).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -474 - -1603?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1\/3, 6, -11, 0.01, 2\/9, -141?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 592414976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/5? (a) 1\/11 (b) -3\/17 (c) 0.4 (d) 1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 25901 (base 12) to base 11\nAnswer: 35696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578 - 674 = -2*u - 6*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 229798549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 10:56 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 + 210*m**3 + 213*m**2.\nAnswer: -3*m**2*(m - 71)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 241*o*y**3 + 27*o*y**2 + 2*o*y + 3*o wrt y.\nAnswer: 1446*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53.02 + 0.98. Let z = t + -27. Let l = z - 18.3. What is l rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -15069?\nAnswer: 3013.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 2315*u - 20911. Let i be l(9). Suppose 0*b = -2*b + 10. Solve 0*y - 12 = -2*y + z, 0 = b*y + i*z - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((1749\/10)\/(8\/20))\/(174\/2784). Calculate the greatest common divisor of 132 and c.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/102 and 155\/588744.\nAnswer: 588744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 9. Let v be l(-9). Suppose v = -0*x - 5*x + 25. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 181120.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*c = -32*c + 59616. What is the greatest common factor of 16284 and c?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19666*x**3 + 185*x + 34 wrt x.\nAnswer: -117996*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208208 = -36*r - 208892 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -45*o - 84. Give z(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*b**2 - 44*b**2 + 23*b**2 - 72*b**2 + 11*b + 19*b**2 to r*b + l*b**2 + f and give l.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 34, 43, 62, 97, 154, 239, 358, 517?\n\"Answer: a**3 - a**2 + 5*a + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*q**3 - 19347*q**2 - 186981.\nAnswer: -12*q**2 - 38694*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2, 21, 60, 115, 186, 273, 376?\n\"Answer: 8*d**2 - d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 37, 181, 421, 757?\n\"Answer: 48*h**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 4:06 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/24*14 - -3) + 2. What is the nearest to h in 2.5, -2\/23, 0.9, 0.4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*z = -l - 2, 4*z + 4 = 0. Let k = 1379\/450 + -65\/18. Let y = k + -3\/25. Is y <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 + -61. Suppose -9*f + 63 = -l*f. Solve 3*n = -4*i + 17, -5*n + f = 2*i + 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*a - 24 = a, -5*i - 3*a - 60 = 0. What is the remainder when 2\/(-8) - 531\/i is divided by (-4)\/(-8)*0 - (-10)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10731182737364.1 minus -5?\nAnswer: -10731182737359.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3) + (-3444)\/252.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 66 - 60 = 0. Sort c, 2, 0 in descending order.\nAnswer: 2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18028 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/54 and -119\/4331610.\nAnswer: 4331610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 5*z + 2. Let g be y(-6). Suppose -2*k = k + x + 9, 4*x + g = -5*k. Let s be 14\/(-4)*k - 1. Calculate the highest common factor of s and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 3*q - 714. Let m be q*5\/15 + 2\/(-6). Factor m + 10*p - 45*p**2 + 35*p**3 - 88.\nAnswer: 5*p*(p - 1)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 196. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -4\/9 (c) 1\/3 (d) 4\/23 (e) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1289977 divided by 2873.\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 7 = -b - 0*u, -5*u = -b - 9. Let v = -7 + 5. Let m(k) = -6*k**3 + k**2 - 2*k - 1. Let p be m(v). Calculate the highest common factor of b and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + -3)\/(1*-1). Let x(c) = -5*c. Let o be x(-1). Put o, 4, m in increasing order.\nAnswer: m, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17780.\nAnswer: 2, 5, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49225 and 4972?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(14\/77)\/((-60)\/55).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 16*b**2 + 154*b - 52. Calculate u(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*o - 5*n, 0 = 2*o - 3*n - 8. Suppose 6*q + 3*q - 945 = 0. What is the lowest common multiple of o and (-2)\/(-3*5\/q)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1782, -3492, -5202?\nAnswer: -6912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -43.7. What is the third biggest value in 1\/6, 2\/9, 2, j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(45\/9)\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 468, 433, 372, 285, 172, 33, -132?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from {c: 3, r: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.827773 plus -0.1?\nAnswer: -0.927773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 11. What is the lowest common multiple of 11 and 2 + b*(-1 + 0)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*h - 82 - 35 + 7 = 0. Is 50\/27 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1.5, 6, -0.26, -0.1.\nAnswer: -1.5, -0.26, -2\/9, -0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(1*sqrt(4)) + 0.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 6*k**2 - 8*k - 8. What is the tens digit of a(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110001122 (base 3) in base 4?\nAnswer: -12330323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucxc when four letters picked without replacement from xcxxxxccxudxi.\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194 = -200*h + 3394 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o - 313. Let k(n) = n. What is -4*k(u) + q(u)?\nAnswer: 2*u - 313","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7474, -4743, -2012?\nAnswer: 719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25 + (3 + -2)*-1. Let x(u) = 11*u + 14*u + 5 - w*u. What is the lowest common multiple of x(-4) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/73)\/(r*(r*((r*r**(-28)*r)\/r)\/r)\/r))\/((r**(-2\/85)*r)\/r**(1\/2)))**49 assuming r is positive.\nAnswer: r**(16145353\/12410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -49720*s**2 + 64*s + 80. Let b(q) = 9944*q**2 - 12*q - 15. Determine 16*b(c) + 3*y(c).\nAnswer: 9944*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.35834? (a) 40 (b) -0.1 (c) -0.4 (d) 2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25248.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 47. Let u be 6\/(-7)*(-3)\/b. Is 0 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**2\/7 - 1692*k\/7 - 715716\/7 = 0?\nAnswer: -846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/90*-16369 - (-1)\/10. Suppose 3*v - r = -2*l - 37, -2124 = -4*v + 2*l. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 890.0513 + -890. Let s = -0.081 + v. 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 o(y) be the third derivative of y**4\/24 + y**3\/3 + 3*y**2. Let g be 0\/(1\/((-3)\/(-9))). Let h be o(g). Solve 3*q + q - 4*i = -12, -19 = 3*q + h*i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 27 - 4 - -19 - 74\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = 5*o - 2*b + 75, 0 = 4*b - 20. Put o, -32, 4 in decreasing order.\nAnswer: 4, -32, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-11) - 608\/(-44). Suppose 13*v + 294 = p*v. Suppose -4*m + v = 102. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/22)\/q)\/(q*q\/q**(-1\/6)) assuming q is positive.\nAnswer: q**(-109\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/86019 and 81\/2293840.\nAnswer: 6881520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*y + 11*y + 8*y + 13*y**2 - 15*y**2 to the form h + i*y**2 + a*y and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-8 + 11 - 17)) + (4 - 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ycvwvwvdwcdvcpv. What is prob of picking 3 v and 1 c?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 (base 10) in base 7?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2) - (-9)\/(-2). Suppose 3*d = 3*d - d. Suppose -7*a + 5*a - 4 = d. Sort q, a, 1 in descending order.\nAnswer: 1, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37975, -35820, -33665?\nAnswer: -31510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/13 in 3, 0.12, -26?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z + 6. Let y(o) = 2*o + 18. Let s be y(-7). Suppose -3*v + x = -x + 32, s*x - 40 = 4*v. List the prime factors of t(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/48*-18*(-12)\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139032407?\nAnswer: 139032407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 - 268*q - 15. What is m(67)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(70)\/(sqrt(5) + -2*sqrt(20)))\/(-2*4*sqrt(8)\/sqrt(4)))*2.\nAnswer: -6 + sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from xvvyvvvvyvvyivxvyyyi.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + ((sqrt(32)*-3 - (-5 + sqrt(32))) + 5)**2).\nAnswer: -320*sqrt(2) + 615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f - 3*f**2 - 277*f**4 + f**2 + f**2 + 276*f**4 - f to the form v*f**4 + x*f**3 + g*f**2 + z + h*f and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + 0 + (2 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-4\/15))\/(a*a**(-6\/5)*a))**(-23\/3) assuming a is positive.\nAnswer: a**(-161\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -2\/27 (b) 1\/2 (c) -5 (d) -67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(1*sqrt(36)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -210588 divided by -183?\nAnswer: 70196\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137\/5 + -1258\/45. Let i = 2752 + -2752. Which is bigger: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8*q - 622. Let m be j(78). Solve 5*k = -m*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6 + (-11)\/(-3). Suppose -3*g - 27 = -4*g. What is the remainder when g is divided by 4*(z - 1\/(-2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121404 (base 5) in base 16?\nAnswer: -11fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.77171 rounded to 2 dps?\nAnswer: 9.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1443055*w**5 + 34280*w**2 + 73?\nAnswer: 86583300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**4 + 3 - 2*m**4 + 3*m**4 - 2*m**2 in the form q*m**2 + k + h*m**4 + l*m + s*m**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 88, 406, 938, 1696, 2692, 3938, 5446?\n\"Answer: 2*t**3 + 95*t**2 + 19*t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)\/((i\/i**3)\/i*i))\/(i*i\/(i*i**(1\/12))*i*i*i\/i**6) assuming i is positive.\nAnswer: i**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*x - 256 = 0, 2*t + 5*x - 467 = -0*t. Let s = -7381\/30 + t. Let w = 67\/210 + s. Which is the second biggest value? (a) 1 (b) 1\/9 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6334 rounded to two decimal places?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 7*k**2 - 2 + 10*k - k**3 + 6. Is u(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 34, 78, 140, 220, 318, 434?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 7. Let r be z(5). Let u be 1\/r + (-82)\/4. List the prime factors of (-128)\/u - 3\/(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 371194 by -1.\nAnswer: -371194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*n - 17640 = 101*n + 430*n for n.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18132191911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8407 or -0.495?\nAnswer: -0.495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*s = -40, -2 = 2*o + 2*s + 2*s. Let a(x) = -8*x - 10 + x**2 + 2*x - 14 + 29. Calculate a(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502150 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 374*t**2 - 35589 - 11*t**3 + 35589 + 181*t**2 in the form c*t**2 + a + l*t**3 + z*t and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757167811?\nAnswer: 17, 101, 440983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.9 and -8.87724704?\nAnswer: 10.77724704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 385890.9 days in hours?\nAnswer: 9261381.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188884553?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 983 - 987. What is the smallest value in z, -25, -2\/5?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from {g: 1, j: 5, t: 5, s: 5}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 401 - -11?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*v - 5*v - 44894 = 0, 74828 = 5*c + 3*v. What are the prime factors of c?\nAnswer: 5, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5 = 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -105)*(-2)\/8. Let j = 19 + h. Find the common denominator of j and 17\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j - 2*j - 4*j - 2*j - 4*j**3 in the form f*j**2 + i + v*j**3 + a*j and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-14) + 12\/(-1 + (-270)\/(-130)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198 + 180 - (0 + -8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -3625*j + 3628*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*f**2*u**4 + 429*f**2*u**2 + 14*f**2*u - 19*f**2 - 3*u wrt u?\nAnswer: -48*f**2*u**2 + 858*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -12. Let a be (2\/1)\/(z - 5). Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oll when three letters picked without replacement from {o: 2, l: 11}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460*a + 376*a + 411*a - 1246*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxppxppxxpppxpxp. What is prob of picking 3 p?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5279588 and 510.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/58239555 and -71\/134970?\nAnswer: 116479110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2137174 divided by 2\nAnswer: -1068587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, i: 10, s: 2}. Give prob of picking 1 i and 2 v.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -5, -3288 in ascending order.\nAnswer: -3288, -5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**4\/2 - 8406427*w**3 + 9422401427082*w**2 - 3520386942464535309*w - 1408155530778062793\/2 = 0. What is w?\nAnswer: -1\/5, 1120857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3094? (a) -1\/2 (b) 2\/7 (c) -2\/3 (d) -3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2880 and 1800?\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -36*c + 254. What is f(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n**2 - 4*n - 4830*n**3 + 0*n**2 + 12*n**2.\nAnswer: -4830*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13312493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 25*a**2 + 31*a + 10. Let w(x) = 2*x**3 + 38*x**2 - 47*x - 15. Let s(g) = -7*b(g) - 5*w(g). Is s(-7) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -14*f**2 + 1 - 17*f**2 - 2. Let j(c) = -313*c - 15. Let a(o) = -21*o - 1. Let w(h) = -15*a(h) + j(h). Calculate w(x(z)).\nAnswer: -62*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**5\/30 - 7*b**4\/24 + b**3\/2 - 6*b**2. Solve s(f) = 0.\nAnswer: 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j**2 + 8*j**2 + 5*j**2 + 2*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*d - 52*d - 6 = -2*b, -8*b = 3*d + 28 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759389 is divided by 3413.\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 60720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 - 45*q + 15. Calculate i(-23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11263 + -6693. Suppose 3*v + 0*v + i = 6859, 2*v - d = -2*i. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 536 - 4297\/8. What is the common denominator of y and (-4)\/(-22)*(-83)\/4?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 283 + -278 - (0 + 1 - -26).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -8. Suppose i = z*i. Let y = i + 2. Solve q + y*q = 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**5 - q**5 - 2*q**5 + (-2 + 2 + q)*(q**4 + 3*q**2 - 3*q**2) + q**4 - q**4 - 2*q**5 + (-3*q**3 - 4*q**3 + 5*q**3)*(16 - 6*q**2 - 16).\nAnswer: 10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.9, 1.1, 74\/9, -0.1, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 5*g + 68 + 49 = 0, 4*g = -15*s + 24*s - 6*s - 55 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 0*a - 15. Let z(b) = 3*b**3 - 26*b**2 + 15*b + 16. Let c(t) = -2*t**3 + 17*t**2 - 10*t - 10. Let s(u) = 8*c(u) + 5*z(u). Determine s(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**3 + 4*y + 7. Let n(i) = -i**3 + i + 2. Let c be (3\/(-9))\/((-14)\/84). Determine c*q(p) - 7*n(p).\nAnswer: -p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 20 + 24 + 24 - 62 + 6*p. Let x(k) = -k**2 - 7*k - 7. What is -5*i(t) - 4*x(t)?\nAnswer: 4*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2022 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 641, 1423, 2517?\nAnswer: 3923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -207617\/683760 + 321\/880. Find the common denominator of i and 23\/3.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-7))\/((-2)\/7)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-15 + 7) - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 6:51 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 140 = -4*o - 11*w, -2*o + 3*w = -45. Suppose -252 = -44*r + o*r. Calculate the highest common divisor of 150 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, h: 1, p: 1}. Give prob of picking 1 p and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**8\/784 + t**6\/280 + 8*t**2 - 1. Let c(w) be the second derivative of x(w). Factor c(k).\nAnswer: -3*k**3*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*10\/(-16 - -26)*(1 - -3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.253 + -209.647. Sort m, -0.1, -0.4, -1\/3 in descending order.\nAnswer: -0.1, -1\/3, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 12*g**2 + 16*g + 13. Suppose -37 = 4*z - a, -2*z + 5*a - 11 = 2*a. Is c(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 1164?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45\/2 of a millennium?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 425*a = -5220. Suppose -4*r + 10 = 2*v - 0*v, 2*v = -3*r + 9. Suppose -3*o - v*s + 9 = 0, 5*s + 3 + 7 = 0. Solve 0 = -o*x + 3 + a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-374)\/187*(-2)\/(-32).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.79583 - -0.00417. What is the closest to i in 2\/3, 2\/19, 5, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 4\/39, -2, 170\/23, 2\/19 in ascending order.\nAnswer: -2, -2\/5, 4\/39, 2\/19, 170\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 0. Suppose p*y - 360 = 4*y. Suppose -6*r + y = l - r, 0 = 5*l - 5*r - 570. Is 27 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56*w**2 - 6*w.\nAnswer: -2*w*(28*w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/5, 5, 10.08?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 34. Suppose 0 = d + 5*y - g, 2*y = 3*y - 3. Solve 5*v - d = 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 432, 415, 400, 387, 376, 367, 360?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 3*n + 7. Let q be h(-7). Let x = q - -32. Calculate the smallest common multiple of x and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54386465.\nAnswer: 5, 7, 179, 8681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**2. Let g(i) = -17*i. Give l(g(o)).\nAnswer: -1156*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 25*w**2 - 20*w.\nAnswer: -5*w*(w - 4)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 19*v + 38. Determine s(-19).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*h + 2056 = -45*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -45753 (base 8) to base 14\nAnswer: -7123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -171*o**2 - 133*o*w - 493873*w wrt o?\nAnswer: -342*o - 133*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*f + 2, 0*f = -4*f - 4*y + 8. Calculate the common denominator of -53\/30 and (f - -5 - 248\/54) + 0.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -4. Let p = j - 4. Solve 2 = p*g + 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -110, -4, 0.2 in decreasing order.\nAnswer: 43, 0.2, -4, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2\/7 + 25248*x\/7 - 50504\/7 = 0.\nAnswer: -12626, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11795 + -11795.3. What is the third smallest value in s, 2\/17, -1\/4, -4, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41356*m**5 - 19*m - 34.\nAnswer: -827120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*u + 3*u + 243. What is the greatest common factor of 81 and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14 + 7)\/(-56)*-6*(-88)\/2. Solve -2*u - 30 + f = c, -c + 9 = -4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 218990 and 3619740?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v + 1 - 1. Suppose -12 = -2*t + 2. Let j(g) = -2*g**2 + t*g - 7*g. What is j(s(z))?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 2:19 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2466.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 736086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-77424)\/26) + 270\/1755. List the prime factors of (-18)\/(-135)*v + 1\/(-5).\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -803*y - 160. What is the units digit of u(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2 + a + 5 - 1. Let b(r) = r**2 + 1. Let x be b(2). Suppose -6*q = -5*q + x. Determine j(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 169\/5 - 34. Let l = 10968.2 + -10968. Put l, -11, j in decreasing order.\nAnswer: l, j, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13140462 (base 7) to base 15\nAnswer: -18b746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23967 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 418 and 159334.\nAnswer: 1752674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 3*c + 4*c + (0*c - 3*c + c)*(-1 - 1 + 1) - 2*c + 0*c + 3*c + 0*c + c + c + 2*c - 3*c + 0*c - 2 - c + 2 - 5*c - 2*c - c)*(c + 3*c + 0*c).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81253276.\nAnswer: 2, 13, 149, 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 309 and 30.6.\nAnswer: 339.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 1:28 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8 (b) -2\/9 (c) 0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0 = -18. Does 19 divide (-234)\/(-21)*42\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 5 + (3 - 2 + 1)*(0 - 1 + 2))*(-2*g**3 + 0*g + 0*g).\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**3 + 3 - a - 4*a**3 + 8357*a**4 - 16714*a**4 - 5 + 8352*a**4 - a**2 to o*a**3 + w + t*a**4 + z*a + p*a**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f*k**2*s + 38*f*k**2 + 32*f*s + 2*k**2 wrt s?\nAnswer: -2*f*k**2 + 32*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 - 3 - -2 - -18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 28*h - 65. Give b(31).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 67368 and 117894?\nAnswer: 471576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*11.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -7*n + 11. Calculate x(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -108978 divided by -886\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.06, -56, -110?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/6)\/(o**4\/o)*o**(-11)\/((o\/((o\/o**(1\/7))\/o))\/o))**(-47) assuming o is positive.\nAnswer: o**(27589\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -17403, -1\/10 in descending order.\nAnswer: -1\/10, -1, -17403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 542185943*a**3 + 261713236?\nAnswer: 1626557829*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 323, 1229, 2733, 4829, 7511, 10773?\n\"Answer: -f**3 + 305*f**2 - 2*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119 - 70. Suppose -8 - 52 = 3*k. Calculate the remainder when b is divided by (-516)\/k - 2\/(-10).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17880 and 23244.\nAnswer: 232440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, a: 1, n: 6, z: 8, f: 1}. Give prob of sequence azn.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/28 + ((-208)\/(-7) - -2). What is the greatest common divisor of 64 and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27058.588 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -8*f**6\/15 + 14*f**5\/15 - f**4\/27 - f**3\/3 - f**2\/9 + 4*f - 457. Find p such that a(p) = 0.\nAnswer: -1\/6, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896)*3)\/((sqrt(112) - sqrt(7) - sqrt(7))*-4).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 8 = -3*b + 1, 6*b + 20 = 2*a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*c + 32*c = -y - 365, -132 + 161 = -2*c + 37 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 3. Suppose 0*a + a = d. Let q be 20\/(-25)*a\/(-4). Let w(v) = -v**2 + 4*v + 1. What is w(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6143155841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -9678, -7, -4 in descending order.\nAnswer: 3, -3, -4, -7, -9678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 16*o - 82. Calculate s(19).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -3556?\nAnswer: 3562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 3*u - 2*u)*(-9*u**3 + 9*u**3 + 14*u**3)*(-5 + 3*u + 5)*(0 + 0 - 2)*(0 - 7 - 1).\nAnswer: -2016*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 19 = 5*v, 3*x + 3*v + v - 29 = 0. Let h be -3*(0 - 8\/x). Suppose 405 = 5*k - 4*c, -2*k - 3*c = -h*c - 179. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-2)\/(-1))\/((-1)\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5 + (-4 + sqrt(176) - sqrt(176)))**2 + -2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3\/2)*b)\/b**(-37)*(b\/(b*b**3\/b*b*b))**(2\/5) assuming b is positive.\nAnswer: b**(389\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3 = -2*d + 53, -5*d + 3*y = -114. Suppose d = 4*s + 8. What is the derivative of s*z - z - 3*z - 4 - z wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8434964?\nAnswer: 2, 37, 56993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1205490\nAnswer: -1\/241098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**2 - 7. Let g be r(4). Suppose -5*k + g = 24. Solve -4*s + 10 = -c, s = -5*c - 0*s + k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 30*z**3 - 12*z**2 + 25*z - 9. What is the hundreds digit of k(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10622?\nAnswer: 2, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -2\/23 (c) 2\/5 (d) -2 (e) 5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -11689339 at least -11689338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 17*v**2 + 36*v - 6. What is the units digit of z(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 480638.1mm?\nAnswer: 480638100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5762256 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (105 - 129) + (2 - -8) + 2 + -1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2804 - -2829. Solve 16*d - h = -73 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -299, -491, -683, -875, -1067, -1259?\n\"Answer: -192*s - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*l - 4918 = -10*l, 1638 = -p + l. Suppose -2*f + 5*d = f - 40, -4*f = -d - 42. What is the lowest common multiple of f and (-48)\/408 + p\/(-34)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -3 - (-2 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/3)*s*s)**22\/(s**(-17)\/s**(-3\/8)))**(-3\/11) assuming s is positive.\nAnswer: s**(-1103\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - -4 - 0\/(-4). Suppose 0*r + 2*n = -5*r + 448, 0 = -4*r + o*n + 336. Suppose 2*l + 4*x - r = 0, -3*l + 2*x + 0*x + 116 = 0. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*m**2 + 1508*m**2 + 229 + 338*m**2 - 229.\nAnswer: 1942*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 7.7, -5, 3425?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5966027\/5315275 - 2\/108475. Calculate the common denominator of c and (-1872)\/(-910) + 6\/105.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1006716)\/(-269238)*(-23)\/(-2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a - 334?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3*f = d + 8, 0 = -d + f - 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + q = -43, -2*q = -2*c - 6*q + 4. Suppose 0 = c*w - 4*w - 112. What is the highest common divisor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 378 and 26775.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2749 = -p + 6*p + 59*p + 1027 for p.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfx when three letters picked without replacement from xfxffffxxxxxff?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -22. Let h = r + -12. Suppose -h*m + 35695313 = 9695313. Round m to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*i**2 + 2*i + 5*i**3 + 19*i**3 - 21*i**3 + 1 as p + n*i + l*i**2 + h*i**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1012*a - 31743 + 125116 + 34139 = 0 for a.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21984\/29 + 758. Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -135, -0.2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 38988.\nAnswer: 38988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -452?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -2 (b) -152 (c) 4\/3 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/6 and 109\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1582 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 266464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/106423420 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 10*v + 8. Let f be b(9). Let g(x) = -2*x**2 + 6*x - 1. Let y(q) be the first derivative of -2 + 0*q - 1\/2*q**2. Calculate f*g(l) - 6*y(l).\nAnswer: 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65322 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 88\/32 + 2\/8. Suppose v - 12 = -n*v. Does 2 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(76)*-1 + (sqrt(2736) + 1)**2).\nAnswer: 66*sqrt(19) + 8211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*-4*5 - sqrt(65) - -3*sqrt(65)*1)\/((sqrt(200)\/(sqrt(10)*2))\/((sqrt(108)\/sqrt(3) + sqrt(36))\/sqrt(9))).\nAnswer: -72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 25. Let x = 7 - c. What is the units digit of (8\/(-10))\/(x\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b = -90. Let w = -39 + 49. Calculate the greatest common divisor of b and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-161)\/46*(-2)\/7)\/((-3)\/39).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0589 to 3 dps.\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**6\/780 - 68*p**5\/195 - p**2 - 272. Find v, given that k(v) = 0.\nAnswer: 0, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 19*a**2 + 2*a + 2. Let o(d) = 1976*d**2 + 209*d + 209. What is 209*h(t) - 2*o(t)?\nAnswer: 19*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5 - 95145*h**4 + 380567*h**3 - 285423*h**2 = 0.\nAnswer: 0, 1, 3, 95141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05979662335 rounded to 4 decimal places?\nAnswer: 0.0598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 265079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -921, -1819, -2717, -3615, -4513, -5411?\n\"Answer: -898*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7*i. Let s be (4 - 3)\/(2\/6). Suppose -15 = -s*g - 0. Let k be f(g). What is the greatest common factor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1067.422 - -1070. Let z = i - 2.6. Let p = 0.02184 + z. What is p rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 0, 31, 4, -9 in descending order.\nAnswer: 31, 5, 4, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 386*j**4 + 225*j**2 wrt j?\nAnswer: 9264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**4\/3 - 4388*t**3\/3 + 553780*t**2\/3 + 1875284*t\/3 - 7556640 = 0. What is t?\nAnswer: -1211, -8, 5, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 163*i**2. Let l = -15 + 14. Let m be v(l). Suppose 3*f - m = 2*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.29 + -3. Let o = -0.01 - a. Let w = o - 0.7. Are w and 2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - (-2 + 0 - -1). Let l(z) = z**2 + 3*z + 1. Let n be l(i). Solve u = n*u - h, -3*h = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 13, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -49, -90, -141, -202, -273, -354?\n\"Answer: -5*p**2 - 26*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -1131233300132?\nAnswer: 1131233300201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2766, -13449, -31254, -56181, -88230?\nAnswer: -127401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7934338561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/527 and -40\/38017.\nAnswer: 20034959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4740 or -20453?\nAnswer: -20453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28358 is divided by 126?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -4 + 1 + 3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18804 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/140, 7, 0, -4, -1, 1\/3.\nAnswer: -4, -1, -3\/140, 0, 1\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/65? (a) -25\/3 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 38218\/(-2758) + 1\/(3\/42). Suppose 5*w - 10 = -0*f - 3*f, w + 3*f - 2 = 0. Factor 0 + 0*p + s*p**w + 1\/7*p**3.\nAnswer: p**2*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.171269+119\nAnswer: 116.828731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 85b6c - 3?\nAnswer: 85b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4. Let y = 5 - 2. Suppose 2*h = -4*m + 10, 3*h = y*m - 0*m + 6. Which is the nearest to l? (a) -2\/5 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -g + 24, 0 = 3*f + 3*g + 2*g - 1. Let z(c) = 3*c - 4. Let s be z(f). Suppose 0*n = 2*n - j - s, 0 = -4*n - 4*j + 4. Solve n = -k + 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 1450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9220 - -9220. Solve -5*d - 37 + 22 = n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43\/86*(-4)\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04707443 to 4 dps.\nAnswer: -0.0471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 139\/9 + -2047\/90. Let d be -99*(-235)\/30 - -8. Let q = 832 - d. Calculate the common denominator of y and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 151013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 8181040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 153 + -5?\nAnswer: 14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w**3 + w)*(2*w**2 + w**2 - w**2) - 4*w**5 + 2*w**5 + 0*w**5 - 33*w**5 + 16*w**5 + 10*w**5 + (-3 - 2 + 4)*(-3*w**5 + w**5 + w**5).\nAnswer: -10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2867b32 + -5?\nAnswer: 2867b2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -18. Let w = 4 - z. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/((-70)\/(-10)) - (-207)\/(-184). Which is the closest to -72? (a) 1\/2 (b) -3\/4 (c) m (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -8192\nAnswer: 1\/2048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nunu when four letters picked without replacement from {n: 2, u: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 2*l**2 + l + 1. Let c be q(-2). What is the nearest to 1 in -0.6, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - v - 24 - 1 = 0, 15 = -3*v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1039714798 to the nearest integer?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1004 - 11447?\nAnswer: -12453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 0 + 0*q**4 - 21*q + 17\/15*q**6 + 0*q**2 + 5*q**3 + 0*q**5. What is the second derivative of s(v) wrt v?\nAnswer: 408*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 1\/4*k**2 + 529 + 23*k = 0.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = -0*t + 66. Let h(d) = -d**3 - 6*d**2 + 6*d - 5. Let l be h(-7). Suppose -2*p - 4 = -y + t, -l*y = 2*p + 4. Put p, 5, -3 in descending order.\nAnswer: 5, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 0, -2, -6, -12, -20?\n\"Answer: -x**2 + x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -475*h**5 - 3315*h**4 - 4680*h**3 + 100*h**2 = 0.\nAnswer: -5, -2, 0, 2\/95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1551\/13, -3800, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 + -79. Which is greater: m or 9\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010111011 - 1001110111100?\nAnswer: -10000001110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 24 - 26. Suppose -230*o - y - 29 = -225*o, -o = 5*y + 49. Sort k, o, -1, 2 in decreasing order.\nAnswer: k, 2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -49*o**5\/4 - 511*o**4\/4 + 223*o**3 - 95*o**2 + 12*o = 0.\nAnswer: -12, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 666*1*(-32)\/(-72). Is l > 294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqcvwqqqucu. Give prob of picking 1 c, 1 q, and 1 v.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -36*r - 209. What is p(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 400974*-586\nAnswer: -234970764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, e: 1}. What is prob of picking 2 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 + 0)*(-2 + 2 - 1)*(z - z + z - 2*z + 4*z - 3*z + (1 - z - 1)*(5 - 1 - 2) - 5*z + 76 - 76)*(4 + 1 - 3)*(4 + 1 - 3).\nAnswer: 168*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*v - 9, 3*k = 4*k + 3*v + 4. Suppose 4*x = 6 + 2. Put 4, x, k in descending order.\nAnswer: k, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c + 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 4*p + 4. What is the common denominator of 472\/6*(-96)\/(-768) + -13 and 4\/9*(-26)\/p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98 + 295\/3. Which is the smallest value? (a) 23 (b) 0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m + 6. Let b(n) = -3*n - 5. Let v(j) = 3*b(j) + 2*u(j). Give v(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 - (-4)\/(-12)*-3. Let s(x) be the first derivative of 6*x - 3*x**2 + 2 - 1\/3*x**3. Give s(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*t + 2, 2*h + 0*t - 4*t = 12. Solve 0 = -h*i - 4*i + 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6370, -4156, -1942, 272, 2486?\nAnswer: 4700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -16*n + 9*n. Suppose 228 = 14*l - n*l. Let p = l - -6. What is the lowest common multiple of 14 and p?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*k + 2*q + 15, -5*q - 35 = -5*k. Let z be 21\/k*(-36)\/(-21). Solve -5*r + z*r = 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2, 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/8*290\/(-60)*4*(-5)\/(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16887 - -4860.5.\nAnswer: -12026.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5124 - 5112. Solve t*m - 36*m = 96 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-4\/9)\/u)*u**(-5\/3))\/(u**(2\/13)\/(u*u*u*(u\/u**(1\/9))\/u*u*u))*((u**1*u)\/(u**(2\/11)\/u))**(-37) assuming u is positive.\nAnswer: u**(-42368\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23006 or -23008?\nAnswer: -23006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, -5, -0.17, -1\/8, -7\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.5, 240.\nAnswer: -0.5, 5, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 48. Suppose w + l*w - 24 = 0. Solve -2*m - w = 4*n, -2*m + 5*m = 2*n - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5345660145 to the nearest integer?\nAnswer: 1749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429451?\nAnswer: 11, 39041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 56985.63ml?\nAnswer: 56.98563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20035*t**2 - 126982?\nAnswer: 40070*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**2\/3 - 288*u - 1744\/3 = 0. Calculate u.\nAnswer: -2, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + 7. Let t = -249\/5 + h. Factor 0*z**2 - 2\/5*z**3 + 0*z**4 + 0 + t*z + 1\/5*z**5.\nAnswer: z*(z - 1)**2*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p - 6*p**4 + 2 - p**2 - 2*p**4 + 9*p**4 as v*p**3 + y*p**2 + f + z*p**4 + i*p and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 8:46 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15290940 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 114814.78421 rounded to the nearest 1000?\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2434, 4884, 7334, 9784, 12234?\n\"Answer: 2450*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2) - 21125\/(-42146). Which is bigger: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 27*a + 329. Let w be t(-12). Put 11, 15, w in increasing order.\nAnswer: w, 11, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/60)\/((-2)\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 5*m - 8. Let k be o(7). Suppose k*w = 3*w + 117. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**2. Let u(b) = -b + 167. Give u(o(j)).\nAnswer: -4*j**2 + 167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/340 + (-28)\/40.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-25))\/2 + (-107)\/((-789660)\/2592)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7*3\/(0 - -1). Let v = l - -23. Differentiate -4*y**3 - 8 - 95*y**v + 95*y**2 wrt y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2454450449?\nAnswer: 11, 43, 5189113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26.9 + 30. Let f = y + -3. Which is the third smallest value? (a) -1 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 0.3, -158, 265.58, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1846 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 6*c**2 + c. Let r(n) = 144*n**3 - 48*n**2 + 19*n. What is -r(t) + 8*z(t)?\nAnswer: -152*t**3 - 11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 18 = -3*l. What is the least common multiple of l and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-132)\/165 - 249\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-21))\/((-1632)\/(-126) - 13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -376 + 1160\/3. Calculate the common denominator of y and 23\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 26 - (-11 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 28, 60, 110, 184, 288, 428, 610?\n\"Answer: k**3 + 3*k**2 + 16*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 106 = -61*i. Solve 5*f + 5*d - 25 = 0, f + 2*d = i*f - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2638*i**2 - 7917*i**2 + 2639*i**2 + 2*i**3 + 2640*i**2.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 159 and 3233.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-4))\/(51\/(-12) + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/70 - 1*(-8)\/20?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 2*f + 0*f**2 - 4 - 4*f**2 + 180*f**3 + f**2 - 178*f**3 to the form v*f**3 + d*f**2 + x*f + r and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -57 + 9. Suppose s*l + 49 = 153. Calculate the remainder when 63 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwnw. Give prob of picking 1 n and 1 w.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-27)\/(-21)) - (-1271)\/31.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)*5*4)\/sqrt(7) - sqrt(14)\/(sqrt(16)\/(sqrt(8) + sqrt(392))).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40.87 and -59.7?\nAnswer: -2439.939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28566?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191184876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4648 and 289919.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 23724996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 141016 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 126105 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -62874100 and -7.\nAnswer: -62874107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**3\/3 + 2*f**2 - 3*f - 1. Let g be o(2). Let r(a) = -16056*a + 112390. Let x be r(7). Sort 2, x, g.\nAnswer: x, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.26025105 * 0.6.\nAnswer: 0.15615063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + -1 + 4 + sqrt(243) + -3 + 3 + sqrt(243)*-1 + sqrt(243) + 0)**2.\nAnswer: 18*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(13) - 5*(sqrt(13) + 1) - sqrt(13)))**2 + -5)*-5.\nAnswer: -6975 - 1000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nngscg. Give prob of sequence cg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*r - 0. What is the hundreds digit of (-5562)\/108*r*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4 = 4*o. Let v be (580\/870)\/((1\/(-6))\/(-1)). Calculate the highest common divisor of v and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*n**3 + 28*n**2 - 3*n + 1443 with respect to n.\nAnswer: 57*n**2 + 56*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2.2. Let q = 0.46 - -0.04. Which is the third biggest value? (a) w (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7417*c - 15637 - 19736 = 9129 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**2 + 120*v - 98. List the prime factors of k(33).\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*84*1\/100.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -27, -24, -9, 24?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 14 = 2*a. Let q(o) be the first derivative of -o**2\/2 + 7*o + 2. Let g be q(a). Solve g = -0*b + 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123*620\/22878*3\/(-155)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = -2*a - 26*m + 21*m, 7*a - 3*m = 70 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from mhyhyhymhmh?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4155023?\nAnswer: 31, 134033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4*(-40)\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1840 + -11394.7\nAnswer: -13234.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) -4 (c) 1 (d) -39 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaa when three letters picked without replacement from {a: 6, x: 2}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 6) in base 16?\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 t, and 1 n when three letters picked without replacement from {e: 1, t: 1, y: 1, n: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40899*b**3 - 506*b**2 - 53140265.\nAnswer: 122697*b**2 - 1012*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 348145 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13667?\nAnswer: 79, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h**2. Let z(u) = 2*u + 5. Let y(c) = 2*c + 6. Let s(p) = 5*y(p) - 6*z(p). Calculate s(w(o)).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10010101100001001 (base 2) to base 15\nAnswer: -17a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 10:35 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41 or -218\/27?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -430 divided by 430?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1520.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -11\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1618, -3, -6, -1, 2, 1, 4 in increasing order.\nAnswer: -6, -3, -1, 1, 2, 4, 1618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 3*g - 4. Let n be b(5). Let r = -8 + 12. Suppose -4*h - 4*s + 10 = -10, 3*h - n = r*s. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + j - 1. Let w(v) = 3*v**3 + 7*v**2 - 11*v. Let l(b) = -4*h(b) - w(b). What is the tens digit of l(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m*s**3 - 297*m*s**2 + m - s**5 - 963*s**3 wrt s?\nAnswer: -12*m - 60*s**2 - 5778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*t**3 + 77*t**3 - 198*t**3.\nAnswer: -367*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 33, -7, -34, -20 in descending order.\nAnswer: 33, 0, -7, -20, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suym when four letters picked without replacement from bggssybgggmbgmggu.\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssststs. What is prob of picking 1 s and 2 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 19. Calculate the least common multiple of 29 and n(-13).\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019 times 0.03512?\nAnswer: 0.00066728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from ooovvoooooooo?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2. Let z(c) = -2*c**2. Let h(y) = 7*n(y) + 3*z(y). Suppose 4*g + 5*r = 3*g + 23, 3*r = 3*g + 3. Let o(p) = -3*p**2 - 5 + 8 - g. Determine o(h(w)).\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 26 = 4*c, -5*c - 6 + 1 = 5*t. Solve -c*v = 1 - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 4*y**2 + 6*y - 11. Let p be j(-6). Suppose 6*k - 445 + p = 0. What is the remainder when k is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**2 - 3*q + 10. Calculate z(3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-27))\/((-38)\/456)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 6)*(0*w**3 - 3*w**3 + w**3)*(219*w + 122*w + 0*w).\nAnswer: 5456*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 164*g - 56*g**2 - 68*g**2 + 8*g**2 wrt g?\nAnswer: -232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, h: 1, w: 1, k: 1, v: 2, s: 9}. What is prob of sequence wehs?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 - -0.8. Put d, -1\/3, 5, 0.3 in ascending order.\nAnswer: d, -1\/3, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14123005 (base 7) to base 2.\nAnswer: -101000001011110101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 12) to base 7.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5670 and 94.97.\nAnswer: -538479.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 1 - 1 + (-3 + 5 + 0)*(187 - 187 + 32*q**2) - 3 - q**2 + 3 - 5*q**2 + 3*q**2 + 4*q**2)*(q + 0*q + q).\nAnswer: 128*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*p + 5*p. Which is the nearest to 0.8? (a) p (b) 60 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 8 = 4*s, -531*s - 6 = -529*s - 3*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n**2 - 5*n. Suppose -13 - 11 = 4*t. Let l be 76\/(-10) - t\/10. Let b = l - -12. Let y(f) = -3*f**2 + 2*f. Calculate b*y(i) + 2*u(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8516 + -0.149. Round c to 2 dps.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/102 + (-8)\/6)\/(-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 12*r + 27 = 0. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -11*n**5\/20 - n**3\/3 - n**2\/2 - 5*n. What is the remainder when 20 is divided by d(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 0*u**2 - 1\/6*u**3 + 1\/2*u - 13. Factor a(i).\nAnswer: -(i - 1)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 7*v**4\/24 - v**3 + 2*v**2. What is the derivative of p(h) wrt h?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5130 and 5004315?\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from pgggplglypp.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14\/423, -0.09, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 29760?\nAnswer: 29760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1895 + 1895.05536. What is y rounded to 3 dps?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v**3 + 241*v**2 - 241*v**2 + 14*v**3.\nAnswer: 30*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.51 or 105\/31?\nAnswer: -4.51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -88 + 96 + 9*-4 + (0 - -17)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 7:11 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -137, -425, -905, -1577, -2441, -3497?\n\"Answer: -96*m**2 - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -39*t - 60. Let h(w) = 8*w + 12. What is 24*h(p) + 5*l(p)?\nAnswer: -3*p - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 - 57\/(-54))\/((-1)\/(-7)) and (-182)\/24 - 4\/(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.09, 473.\nAnswer: -3, -0.09, 473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 + 101. Let l be 18\/30*(-36 + 1). Let g = h + l. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12186 + 12229. Which is smaller: 2 or d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 3*d - 2. Let z be (-2 + 1\/2)*-2. Determine t(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**2 - 4*x**2 + x**2 + 3*x - 21*x**3 + x**2 + x**2 to the form p*x**2 + d*x**3 + k + o*x and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4*-2 - -20. Suppose -5*r - 1 + z = 0. Let t = 5 + r. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25944 and 2256?\nAnswer: 51888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 20 = -8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4940 by 260.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**3 + a**2 + a - 1. Let o be k(1). Let i be 18\/(-14) + 16\/56. Let p be -3 - (3\/i - -3). Sort p, o, -1 in decreasing order.\nAnswer: o, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 607*d**2 + 278*d**2 - 135*d**2.\nAnswer: 750*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5865253 is divided by 148.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2556110 rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiitjitjittiiijtite. Give prob of picking 1 e, 1 j, and 1 t.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 108, 108, 98, 72, 24?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*i**2 - 14\/5*i + 12\/5.\nAnswer: 2*(i - 6)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10995172 to the power of 1\/3, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30830456, 61660911, 92491366?\n\"Answer: 30830455*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-42)*(3 - 49\/7)*(-1904)\/(-256)?\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 - -4.1. What is the third smallest value in i, -3\/7, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/10 and 46\/73.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*(sqrt(20)\/((sqrt(60)*-1)\/sqrt(6)) - sqrt(22)\/(sqrt(99) - (sqrt(99) - sqrt(99)*1))))**2.\nAnswer: -32*sqrt(2)\/3 + 521\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/13 - 40*j\/13 - 42\/13.\nAnswer: 2*(j - 21)*(j + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/b**(-15\/4)))\/b**1)**(-7\/8))**(16\/3) assuming b is positive.\nAnswer: b**(133\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + h - 6. Let t be (-4)\/10 + (-46)\/10. Let q be n(t). Let s = 19 - 5. Calculate the highest common divisor of q and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m**2 - m**2 - m**2)*(19 + 1 - 5) - 3*m + 3*m - m**2 + 0*m + m**2 + 2 + 0*m as y + s*m + t*m**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 433010, 866032, 1299054, 1732076, 2165098, 2598120?\nAnswer: 3031142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjhjhhhh. Give prob of sequence hjhh.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 243*u**4 - 6*u + 1112. Differentiate r(g) with respect to g.\nAnswer: 2916*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10798 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4776)\/8955*10\/1.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(15\/(-25)) - -85. What is the least common multiple of 35 and 1\/(-8) - (-810)\/y?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 861\/20 + -43. Let c(x) be the second derivative of 0*x**3 + 0*x**2 - g*x**5 - 1\/6*x**4 + x + 0. Find the third derivative of c(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-376)\/5170*7\/(252\/30)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 - -1000100101110?\nAnswer: 1000100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15 + -45)*2\/(-12). Let n(z) = z + 5*z - 2*z + 1. Is n(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13408.6 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + g - 1. Let v be y(0). Let c(d) = -2*d - 3. Calculate the remainder when 25 - (v - (0 + -2)) is divided by c(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**2*s**3 - m**2*s**2 + 15*m**2 - 2*m*s**2 - 7*m*s + m - 17951207*s**6 - 879*s**2 wrt s.\nAnswer: -12*m**2 - 2154144840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-133)\/(53998\/(-84)))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11286*d + 9387*d - 5502*d + 1287*d.\nAnswer: 16458*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 790 = 5*l - 0*l, 4*l - j = -641. Let t = -181 - l. Which is smaller: t or -18?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 6*t**2 - 8*t - 4. Calculate s(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 11*y + 32. Let s be i(5). Let t(k) = -3*k**s - 4*k**2 + 0*k**2 + 6*k**2. Let b(h) = 32*h. Calculate t(b(x)).\nAnswer: -1024*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*8\/896 + (-8074)\/(-1408)*-4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/864*(-54)\/(-8)*(-1112)\/5004.\nAnswer: -1\/192","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c00a9 (base 16) to base 14.\nAnswer: -9392ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t + 10. Let q = -8 + 11. Suppose 0 = -3*z - 3*j + 2*j + 23, 0 = 3*z + q*j - 27. Let x(l) = 10*l - 15. Let b(u) = z*c(u) + 5*x(u). Calculate b(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*t + 102. Suppose 4*n + t = 0, 0 = 3*q + n + n + 13. Is 2\/(-5 + q)*-177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (16 + -1)) + -1 + 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6059870 (base 11) to base 3.\nAnswer: 202011102000220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -161 * 0.4\nAnswer: -64.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, u: 1, r: 3}. Give prob of picking 3 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424 a factor of 586128018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*h - 17*h**3 + 8*h**2 + h - 6*h + 21*h**3.\nAnswer: 4*h*(h - 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -16*k**2 - 3*k. Let c(d) = -5181*d. Calculate a(c(j)).\nAnswer: -429484176*j**2 + 15543*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 12 = -5*n + 12, -5*t - 3 = -2*n. What is the nearest to 0 in -2, t, -2\/33, 3\/5?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.1197 and 30.671.\nAnswer: 33.7907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**3 + k**2 + 3*k + 1. Let j = 1 + 6. Let r(p) = p + p**2 + 5*p**3 + 0*p**3 + 3*p**3 + 1 - j*p**3. Calculate m(t) - 3*r(t).\nAnswer: t**3 - 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f + 494*f**3 - 1123*f**3 + 387*f**3 + (f**2 + 2*f**2 - 4*f**2)*(-2*f + f + 0*f) in the form s + a*f**3 + h*f**2 + x*f and give a.\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 316 + -301. Let f(s) = s**3 - 10*s**2 - 34*s - 24. What is the units digit of f(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - 31*b + 5. Let k(u) = u**2 + 16*u - 2. Determine 2*d(z) + 5*k(z).\nAnswer: z**2 + 18*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1005 divided by 335\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 595 + -411. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -u**4 + 57*u**3 - 17*u**2 - 73907?\nAnswer: -4*u**3 + 171*u**2 - 34*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2244754?\nAnswer: 2, 23, 48799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1410 and -111\/470?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 0*c**4 + 13\/2*c**2 + c**5 + 0*c + 1 + 0*c**3. What is the second derivative of m(d) wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*r + 41*r + 54*r + 165 = 5*v, -3*v + 83 = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 1. Suppose -3*w = 4*t - w, -2*t + 6 = -2*w. Let k(d) = d**2. Let c(m) = t*k(m) - i(m). What is the units digit of c(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.04, 1 in decreasing order.\nAnswer: 5, 1, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 3:06 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 106?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*w - 1. Let p = 342 + -295.2. Let m = -46.8 + p. Which is the fourth biggest value? (a) 0.3 (b) m (c) -4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92590283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.7 + -3.4. Sort 3\/4, s, 0.1 in descending order.\nAnswer: 3\/4, s, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c2193 (base 14) to base 13\nAnswer: 4200c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-806)\/(-682) + 5 + (-171)\/33 - 165\/155?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/24 and -5\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 815156 + 5?\nAnswer: 815161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, -15, 6, 2, 4.\nAnswer: -15, 2, 4, 6, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -51 + -6723e6?\nAnswer: -672437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 + -83. Suppose j*b + 10 = 2*b. Solve -b*q + 2*q = -9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3420 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 8:35 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from clclleseelcll?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.7 minus -3393198561548?\nAnswer: 3393198561573.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 2*j - 42 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 51*p**2 - 71*p - 772. Let g be n(-52). Is 212 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h - 8 + 2*h**3 + 160*h**4 + 6 - 3*h + 1 in the form d*h**2 + y*h**4 + u*h**3 + z + x*h and give y.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*m + 7*m. Which is the third biggest value? (a) -1.12 (b) -2\/5 (c) m (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*f = -0*f + 6, 0 = -3*f - 3. Let b be n\/(-2 + 4) - -1. Is (1 + b)*127\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 67, 260, 581, 1030, 1607?\n\"Answer: 64*r**2 + r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 4 - 5)*(2*f - 3*f - f) + 995*f - 1666*f + 1049*f + (f + 0 + 0)*(4 - 2 - 1) to the form m + t*f and give t.\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 2*q + 1 + 0*q)*(4 + 5 + 4)*(-2 + 6 - 2) + (-2*q + 6*q + 0*q)*(-4 + 2 + 4).\nAnswer: -44*q + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53710, -107420, -161128, -214834, -268538?\nAnswer: -322240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 4*o - 12. Let q be t(6). Suppose 0 = 4*g - 4*d - 636, 2*g + 4*d - 336 = -q*g. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1251 and -49\/18.\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.11079355 and -0.5.\nAnswer: -0.61079355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/4*(-58922)\/(-12131)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -413224831 + 3*k + 413224831. Let r(t) = 13*t**2 - 6*t - 2. Determine h(r(g)).\nAnswer: 39*g**2 - 18*g - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.5 + -14. Let s = q + -0.5. Let w = -1.5 - s. Sort 0.1, w, -5.\nAnswer: -5, w, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(4\/7)*a\/a**(-8\/9)*(a**20)**(-40) assuming a is positive.\nAnswer: a**(-50182\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 9a1522?\nAnswer: 9a151c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2. Let y be w(-1). Let p be 70\/(-40) - 2\/8. Sort p, -4, y in ascending order.\nAnswer: -4, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1725 - -1419. List the prime factors of b.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 52 = 2*q, -394*q - 2*b = -391*q - 68. What is the greatest common factor of 824 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 7:32 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 3. Let q(b) = -b - 1. Let n be q(-6). Sort n, -2, d.\nAnswer: d, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30.2 - -34. Let z = -66 - -62. Let w = f + z. Put w, 0.1, -4, 0.02 in descending order.\nAnswer: 0.1, 0.02, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -490247630.\nAnswer: 1\/490247630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 9*x + 113. What is d(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0) + -7 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 8 + 18 + -10 - 11\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/18*(-5210 + 8).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 - h**2 + 2*h + 2. Suppose 0 = 2*x - 2*c - 2, -2*c + c + 5 = -3*x. What is the tens digit of y(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**4\/12 - 23*m**3\/6 + 9*m**2. Let d be q(14). Find the third derivative of 7*k**2 + 8*k**d + 2*k**5 - 3*k**5 - 5*k**5 wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g - 29 = -86 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cnnnccncccwnccwcn. Give prob of picking 2 n and 2 c.\nAnswer: 27\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a*(a*a*a**(-4)\/a)\/a)\/a)\/a)*a*a*a)**(-38)\/((a\/(a\/(a\/(a*a*a**(3\/10)*a*a))))\/(a*a\/(a*a**(5\/2)*a))) assuming a is positive.\nAnswer: a**(-1706\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.34776+53.118\nAnswer: 53.46576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 minus 0.14873408256?\nAnswer: -37.14873408256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15*(72\/3 - 0). Suppose r - p = -3*r. Does 23 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21274.7 + -21274. Let d = -25 + 15. Which is the smallest value? (a) d (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-35564)\/(-6) - 2)\/(31 - (-1656)\/(-54)). What is the greatest common factor of l and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y - 1\/10*y**5 + 0 + 0*y**3 + 0*y**4 - 3\/2*y**2. Differentiate l(v) wrt v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7917 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4879, 4885, 4901, 4933, 4987, 5069?\nAnswer: 5185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2981 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-2)*((-20)\/50*-35 + -8)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -417 + 419. Suppose 0 = s*y + i - 14, y - 21*i = -23*i + 1. Solve -y + 33 = -6*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 54\/1813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 488 and 52?\nAnswer: 6344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42500124 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, y: 2}. What is prob of picking 1 y and 2 z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20203916 rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274 = -7*o - 218 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in two sevenths of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbr when three letters picked without replacement from {b: 1, g: 1, r: 1, v: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*d = -0*d + 7, -k = 4*d - 24. Suppose -k*a = a - 130. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aff when three letters picked without replacement from afnfaanmffnaaam?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*296\/16*-17. What is the greatest common divisor of 153 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30581.\nAnswer: 53, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -24, -27?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16331 - -17163. What is the lowest common multiple of s and 4784?\nAnswer: 19136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2053 - -2254. Solve -z + 176 = 5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -21, 1\/21, 0.01, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*k + y + 64, -k = 2*y - 15. What is the highest common divisor of 26 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7715707g in micrograms?\nAnswer: 771570.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - 12*y + 3. Suppose 5*f - 40 = -5*j, -2*f + 4*j - 54 = -52. Determine g(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9517*s**5 - 63*s**2 + s - 23?\nAnswer: -571020*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f + 26. Let v be d(0). Suppose -2*b + v = 126. Let j be 2\/3*b\/20. Is j <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1784169492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 176, 265, 354, 443, 532?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, l: 2, t: 1, d: 1}. Give prob of sequence lkt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -128*p**2. Let j(b) be the first derivative of 5*b**2\/2 + 12. Calculate x(j(g)).\nAnswer: -3200*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 0 + -3 - 531\/(-225). Which is greater: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**4 + 2*m**2 + 20*m - 2. Let g(s) = 5*s**4 - 5*s**2 - 41*s + 5. Let x(n) = -2*g(n) - 5*i(n). Find the second derivative of x(d) wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 + 67. Let g = 1.7 + -0.3. What is the second biggest value in -2, g, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 365243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 4*q**2 + 6*q. Let b be o(5). Suppose 0 = -b*p - 3*i - 409, -6 = -4*i + 2. What is p rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1756908?\nAnswer: 2, 3, 37, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22843 - 22838. Let y = 8 - 5. What is the fourth biggest value in y, 0.06, o, 0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -1098, 0.5, 0.14, -0.4?\nAnswer: -1098","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ropr when four letters picked without replacement from {k: 4, r: 2, p: 1, o: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m - 11069 = -4*i, 5*m = 15. Suppose 0 = 11*p - 4349 - i. List the prime factors of p.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13732173 and 504?\nAnswer: 109857384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**4 - 4 + 4 + (-3*t**2 + 6*t**2 - 2*t**2)*(3*t**2 - 4*t**2 + 3*t**2) + t**4 - 2*t + 2*t to k*t**4 + u*t**2 + x + a*t + y*t**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, j: 15, l: 3}. Give prob of picking 2 l and 1 p.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 7:51 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -2211100102220102?\nAnswer: 2211100102220112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 16 = -0. Let n(s) = -55*s - 131. Let b be -10 + 2\/((-4)\/(-10)). Let w be n(b). What is the greatest common factor of w and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 = -w - 5*d, 4*w = -4*d + 20. Suppose -a - 3*m = -0*m - 17, a = 2*m - w. Suppose a*i = 12 + 42. Calculate the greatest common factor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 8. Let x = 13 - 5. Let y be g(x). Suppose 2 = -2*l - y. What is the smallest value in l, -2\/13, -2\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5700514 and 29?\nAnswer: 5700543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 279221*b**5 - 346775*b**2 wrt b.\nAnswer: 16753260*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 8 = 3*y - 12, 0 = 3*y + 2*g - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 7*a**2 + 8*a + 1. Suppose -7*d + 56 = -14*d. Let f be n(d). What is the nearest to 1 in f, -0.5, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126733 and 3?\nAnswer: 380199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 15 - 25 = 0. What is the remainder when 13 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 = -36. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 9:07 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.29428 rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**4 + 7491*r**3 + 900*r**2 - 2241300*r - 14982000 = 0.\nAnswer: -10, 20, 2497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 3 + 5\/2*o**2 + 16*o - 1\/3*o**3. List the prime factors of a(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 14.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (3 - 4) + (-2 - -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22554 = -836*b + 1373*b for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - r**2 - 3. Let c be s(0). Let a = -1 - c. Suppose 0 = 6*b - 3*b. Solve -2*d = 3*t + 25, t + 15 = -a*d - b*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 17*q. Suppose -r - f + 5 = q, r + 3*f = 3*r - 35. Calculate the lowest common multiple of r and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 22\/97, 0.1, 2, 36\/11?\nAnswer: 22\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2359 + -4027. Let x = c + 1675.83. Let y = x + -7.229. What is y rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -21?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 - 37 + 219 = 9*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z - 3. Let v be d(4). Let p = -1 + v. Suppose a + f = -f + 21, 2*f = -p*a + 60. Calculate the common denominator of a and -19\/41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 18, k: 2}. Give prob of picking 1 a and 2 k.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3*b + 44. Let x = b - -28. What is the greatest common divisor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(288) + 2 + (sqrt(288) - (1*(sqrt(288) + 0))**2))*-4.\nAnswer: -96*sqrt(2) + 1132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times -1895439?\nAnswer: 30327024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 23*o**2 - 28*o + 11. Suppose 129 = 8*l + 17. Is u(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -30 and -10228\/337 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136*v + 6 - 2 - 119*v**2 - 5 - 136*v to l + s*v**2 + j*v and give s.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 33965 = 5*c, 0 = 2*j - 10*c + 7*c - 13581. Suppose 0*h - 6*h = -j. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -10, j = 2*j + 2*s + 5. Suppose -t + j*i + 302 = 0, t + i - 5*i = 299. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.165 + 0.565. Which is the third biggest value? (a) 2\/269 (b) y (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**5 + w**5 - 2*w**5 + (-2*w**3 + 0*w**3 + 0*w**3)*(-6 + 8*w + 6)*(0 + w + 0).\nAnswer: -17*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 7*u + 144129 = -4*u, -2*n + u = -57645. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 - x**2 + 1. Let c be q(1). Let h be (c\/5)\/(2\/(-80)). Suppose -4 - 3*t**3 + h - 12 = 0. What is t?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 3*a**5\/4 - a**4\/12 + a**3\/6 - 105*a. Let x(y) = -2*y + 8. Let c be x(7). Let q be 4\/c*(-12)\/8. Determine i(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 0*j - 4*j)*(3*j - 2 + 2)*(-1318 + 72*j**2 + 1318).\nAnswer: -432*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - p + p)*(-2 + 3 - 2)*(405 - 405 - 81*p).\nAnswer: -162*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 4. Let h be z(6). Let p(w) = w - 1. Let s be p(-1). Find the common denominator of -1\/4 and ((-177)\/s)\/3 - h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000709 rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 - 8*y - 26. Let a(w) = 9*w**2 - 15*w - 51. Calculate 4*a(k) - 7*g(k).\nAnswer: k**2 - 4*k - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.896 times -3?\nAnswer: -2.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*r + 29889, -33 = 5*r - 28. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -81, -124, -205, -336?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**6\/5 - t**3\/3 + 2*t. What is the second derivative of f(z) wrt z?\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, -179, -182, -185?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0042201 to five dps.\nAnswer: 0.00422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 224 + -224.1. Which is the nearest to u? (a) -0.17 (b) -4 (c) 0 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 12, v: 3, w: 1}. What is prob of picking 2 v and 2 x?\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -7*f - 8, -2*f = -24*i + 2*f + 496 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000057531 rounded to seven dps?\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 5*j**2 + 2*j - 5. Let r be y(5). Let m = 4 + r. Suppose 0 = m*h - 4*h - 75. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 k when three letters picked without replacement from {k: 1, t: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 10:49 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**4 + 0*c**3 - 5147 + c**2 - 14*c - 4*c**3 + 5146 in the form f*c**2 + u*c + b*c**4 + v*c**3 + q and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + sqrt(275) + sqrt(275))*-2 + 0 + sqrt(275) + sqrt(275) + -1 + sqrt(275) + (sqrt(275) - -1*(1 + sqrt(275))) + sqrt(275))**2.\nAnswer: 80*sqrt(11) + 1116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54817472*b**3 + 121395659*b wrt b?\nAnswer: -328904832*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 998 or 993?\nAnswer: 998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 = -2*l. Let n be (21\/27 - -2) + l\/27. Suppose 2*v - 3*r = -0*r + 173, -n*r + 401 = 5*v. List the prime factors of v.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 1. Let k(t) be the third derivative of 7*t**4\/8 + 4*t**3\/3 - 135*t**2. Calculate 6*g(f) + k(f).\nAnswer: 15*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:13 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130020331113 (base 4) to base 16.\nAnswer: 708f57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8941575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-2)\/(-32)*189104\/3568*8\/(-1)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25984, 5, -327 in increasing order.\nAnswer: -25984, -327, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from {g: 1, w: 6, t: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 12827593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*u + 1930*u**2 - 15*u - 8*u)*(1 - 1 - u**2).\nAnswer: -1930*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 - -0.3. Let a = -4 - -4.2. Let v = a + y. Is v equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + 52 - -67 - 116?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/6)\/((-1)\/2). What is the smallest value in r, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2178350.1 nanoseconds?\nAnswer: 0.00000060509725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one halves of a week?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 511, 1122, 1967, 3040, 4335, 5846, 7567?\nAnswer: 9492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*q - 32 = -6*q, 2*q - 8 = 0. Suppose 2 - 12 = -n*g. What is the greatest common divisor of 14 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/((c*c*c**(3\/7)*c)\/c)*(c\/((c\/((((c**(-2)*c)\/c)\/c)\/c))\/c))\/c)**(-3\/2)*((c\/(c**(-1)*c))\/c*c)**(-43)*(c**(2\/7)\/c*c)\/c**(2\/3) assuming c is positive.\nAnswer: c**(-803\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -510 + 507. Let o be 0*2\/(-4) + -1. What is the biggest value in -0.1, u, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-7 - (-38 + 13)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4}. Give prob of sequence dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k + 69. What is the remainder when 164 is divided by v(4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -60. Suppose -3*x + 54 = -i. Suppose -22 = -4*u + x. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 q when three letters picked without replacement from {q: 6, u: 4, k: 3, x: 1}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/47, 5\/2, -5, -4?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a - 11. Give k(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 33. Suppose 49 = 4*f + 5*m, m - 31 = -5*f + 25. Let k(a) = 7*a - 68. Calculate the smallest common multiple of k(f) and z(0).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by -16?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (368\/(-230))\/(2\/(-5)). Which is the smallest value? (a) d (b) -9 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-20)*3*1*1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.3 - 15.11. Let u = 1.71 + x. Let p = 9.5 + u. What is the nearest to 0 in -0.3, p, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - i**2 - 3*i**2)*(2*i - 574*i**3 + 5*i**2 - 3*i**2 + 578*i**3) - 2*i**3 + 2*i**3 + i**5.\nAnswer: -11*i**5 - 6*i**4 - 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 20. Let r = p - -8. What is the greatest common divisor of r and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/((-210)\/(-17345)) - 3\/(-7). Suppose 3*y = -4*a + c, -42 - 216 = -2*a + y. List the prime factors of a.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22791, -22812, -22833, -22854?\nAnswer: -22875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from {a: 5, x: 7, t: 1}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*r - 309 = -39. Let c(f) = f**2 - 3*f + 4. Let k(s) = 4*s - 5. Give r*c(n) - 4*k(n).\nAnswer: -5*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 3*z**2 - 4*z - 6. Let i be l(-4). Let y(u) = 8 - 14*u + 15*u - 1. Determine y(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 56, 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 81498 = -5*v + 2*t, 0 = -2*t + 2. Round v to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f + 43*f + 274*f**3 - 14*f - 15*f.\nAnswer: 274*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a**2 - 5*a**3 + 3*a**3 - 15*a**2 - a + a**3 - 6. Let n be d(-8). Solve n*z + 2 = -6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 - 107 = -14*v + 107. What is the closest to 2\/3 in v, -0.4, -5, 14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -50682, -50684, -50686, -50688, -50690, -50692?\n\"Answer: -2*u - 50680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3\/4, 3, 0.2323.\nAnswer: -3\/4, 0.2323, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 1015*k**2 - 52015*k - 51005.\nAnswer: -5*(k + 1)*(k + 101)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 + p**3 - 5*p**4 + (-3*p + p + p)*(-70*p + 70*p + 10*p**3).\nAnswer: -15*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 77107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 11:14 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 499235.4 tonnes in grams?\nAnswer: 499235400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**5\/8 + 33*n**4\/4 + 255*n**3\/8.\nAnswer: 3*n**3*(n + 5)*(n + 17)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -584186355.9 rounded to the nearest 1000000?\nAnswer: -584000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 138416\/(-6560) + 2\/20?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -1\/6*d**3 + 0*d + 3*d**2 - 1\/12*d**4 - 1\/360*d**6 - 1\/24*d**5 + 0. Let c(b) be the first derivative of u(b). Give c(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 74424\/17 or 5\/12?\nAnswer: 74424\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3173 and 3.\nAnswer: 9519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 428569180*b**4 - 810167377 with respect to b.\nAnswer: 1714276720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43040 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2420*-0.01422\nAnswer: 34.4124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -135*o + 73*o + 2*o**2 - 3*o**3 + 66*o - 3 - o**4 to the form k + q*o**2 + u*o**4 + y*o + i*o**3 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4\/15 - 16*s**3\/5 + 88*s**2\/15 = 0.\nAnswer: 0, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 + 57 - (12 + -5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59*w - 42?\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 285 divided by 782\nAnswer: 285\/782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36 + -4 - (-1 - -2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2.046673km?\nAnswer: 2046.673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)\/c)**(-3)\/(((c**(-1\/2)\/c)\/c)\/(c\/(c*c**4)))*(c**(2\/11)\/(c*c**2*c))\/(c\/(c*c\/(c*c\/c**(-1\/4)))*c*c*c**(1\/3)) assuming c is positive.\nAnswer: c**(-3103\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.7 times 0.1?\nAnswer: -3.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/36 + ((-66920)\/(-3) - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*n + 30*n - 24*n to p*n + o and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/460 and -21\/1105?\nAnswer: 101660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2345 - -2339. Let v(w) be the second derivative of -w**5\/10 + w**3\/2 + w. Let c(f) = -6*f**3 + 10*f. Calculate r*c(t) + 20*v(t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 55*g + 3887. Does 13 divide y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3453101 + -13203?\nAnswer: -3510304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -153892 - 1007. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 111826*j + 111822*j + 55 = -193, -189 = -3*x - 4*j for x.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2456319162415.999999203 - -2456319163470. Let p = i - 1054. What is p rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*l - 2*l. Solve -o = -l*o + 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023393288 rounded to 7 dps?\nAnswer: -0.0002339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 42. Let z be 15\/((w - (-1 + 3)) + 3). Do z and -8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most -7.076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 15?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j + 1. Let l be h(1). Suppose -6 = l*f + 14. Let r be (f\/18)\/((-6)\/(-18)). Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10433 - 10433. Solve 24*t - 36*t + 60 = a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.7 - 10. What is the second smallest value in j, -0.5, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**5\/3 + 46*m**4 + 694*m**3 - 17842*m**2\/3 - 89540*m = 0.\nAnswer: -37, -33, -10, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3219 divided by -3?\nAnswer: -1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 649 = 5*u + 676, 2*u + 14 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 5. Let b be (-2)\/r*(-3)\/(-6). Let v be ((-465)\/(-45) - 7) + -4 + 1. What is the closest to 2\/5 in -3\/2, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 7 - 1 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 51642?\nAnswer: -51640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6590 - -6592. Solve 30*c - m*c = 140 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3\/7, -2, 1, -1.1, 1\/4 in descending order.\nAnswer: 1, 0.5, 3\/7, 1\/4, -1.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000 (base 3) to base 10.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from sooos?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 13*n**2 - 282*n - 89. Let v be p(26). Is v bigger than 1364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h**2 - 16*h - 7. Give r(4).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1216) + sqrt(1216))*2.\nAnswer: 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33612359 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215357 is divided by 433?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l - 40. Let f be s(-12). Let j be 3\/((-12)\/(-10))*f\/10. Let o = 10 - j. Which is the second biggest value? (a) o (b) 1 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*s - 236, -3*t - 2*t = -s + 82. List the prime factors of s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -26. Suppose x + 4 + o = 0. Is (-6)\/x - (-150)\/14 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**5\/12 - 25*v**4\/24 + 5*v**3 + 18*v**2. Factor m(g).\nAnswer: 5*(g - 3)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2457 and 5600.\nAnswer: 1965600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -2*b - 3*b**2 + 0 - 1\/2*b**3. What is d(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3212 + 202?\nAnswer: -3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12 - -19) + 1 + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 i, and 1 r when three letters picked without replacement from {r: 1, i: 6, c: 4, g: 2}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3616.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-45)\/4)\/((-1 + 0)\/4). Calculate the greatest common divisor of r and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 49*b + 4094. What is a(-111)?\nAnswer: -1345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*d + 494*d + 718*d.\nAnswer: 945*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -104*a**3*u*v**2 + 24*a**3*u - 3*a**2*u*v**2 + a**2*u + 2*a*u*v**2 + 20*a*u + 2*u*v**2 wrt a?\nAnswer: -624*u*v**2 + 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004 (base 5) in base 8?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1.05583?\nAnswer: 1.05583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36766951139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/384 and 139\/168?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -13*x**2. Let j = -342 + 1028\/3. Let b(m) be the first derivative of 0*m + 2 + 0*m**2 + j*m**3. What is z(b(o))?\nAnswer: -52*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*c + 1657 = 0, 3*c - 3327 = -m - m. Suppose 3*y - 6639 = m. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, h: 13}. Give prob of picking 2 n.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c - 89874. Let l(n) = -2*n - 223. Calculate b(l(j)).\nAnswer: -4*j - 90320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300)*1*-6 + sqrt(1300).\nAnswer: -50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45.1 + 45.434. Let k = g - 0.3339685. Round k to 6 decimal places.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32322431 (base 6) in base 14?\nAnswer: -1ada15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = 2*i - 3*a, -i + 3*a = 14 - 128. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40427 + 9381 = 1194*a + 13132 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52770 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10105177?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 4*u - 2. Let k be j(4). Suppose -1101 + 1379 = 2*r. Let i = -143 + r. Which is the smallest value? (a) -0.3 (b) -0.06 (c) i (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85*x**6 + x**5 - 154*x**4 + 32834*x**2 - x - 1 wrt x?\nAnswer: 10200*x**3 + 60*x**2 - 3696*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.904 and 242.\nAnswer: 237.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**4\/2 - 2*k**3 - 3*k**2 + 7*k - 3603. Let y(d) = -6*d**3 + 17*d**2 + 17*d - 22. What is 17*g(s) + 6*y(s)?\nAnswer: -2*s**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1718, 1721, 1734, 1763, 1814, 1893?\nAnswer: 2006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422*m + 6*m**3 - 2*m**3 + 423*m + 16*m**3 - 839*m.\nAnswer: 20*m**3 + 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/1782 and -91\/541134?\nAnswer: 1623402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01547 - 0.0139819. What is i rounded to 5 dps?\nAnswer: 0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1300310600 to the nearest 1000000.\nAnswer: -1300000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3 - (-70)\/21. Suppose -d*g = -2 - 38. Let t = g + -6. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22452198869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 615296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22478 is divided by 11225.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 21 = 3*f. Let o(t) be the first derivative of -5*t**3\/3 + 4*t**2 + 2. Let u(k) = -2*k**2 + 3*k. Determine f*u(x) - 3*o(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6124 = -i + 5*a, 375*i - 5*a = 379*i - 24621. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*s - 2*d + 570, 5*s = d - 554. Let u = -57 - s. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*b**3 - 35*b**3 + 18*b**3 + (0 + 0 + b)*(0*b + b**2 + 0*b))*(4 - 3 + 0) to the form d*b + p + k*b**3 + q*b**2 and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -479 + 156 + 329*k + 166 + 157 to the form m*k + s and give m.\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.35056292 rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18768? (a) 8.1 (b) 0.2 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1879*j + 3875*j + 3446*j)*(4*j - 6*j + 0*j) to s*j**2 + f + z*j and give s.\nAnswer: -10884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express c + 3*c**2 - c + (-c**2 - 1 + 1)*(5 - 5 - 3) - 2*c**2 + 0 + 0 as u + v*c**2 + q*c and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-1946)*-3)\/((-18615)\/(-43435))?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 16. Let p be q(-4). Calculate the highest common divisor of p and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o - 16. Suppose -10 = -2*p - 0. Suppose -15 = -p*j + 8*j. Let m(b) = 4*b + 11. What is j*k(l) - 7*m(l)?\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 + 3*c + 4. Let i = 70 - 66. Calculate g(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19365 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1122001552 + -10.\nAnswer: -1122001562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 40, -12, -64, -116, -168?\n\"Answer: -52*r + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 0*o**3 + 1\/360*o**5 - 167*o**2 - 7\/72*o**4 + 0 + 0*o. Solve h(x) = 0 for x.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/449 and -99\/2?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 14, j: 5}. What is prob of sequence jjmj?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32574 - -4073?\nAnswer: -29501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - 352472311*i + 352486150*i + 0 + i + 0 + (2 - 1 + 0)*(i - 1 + 1) + 4 - i - 4 in the form g + m*i and give m.\nAnswer: 13840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 416 + -160. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1 (b) -5 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 140 = -3*n, 9838*n - 9840*n = -4*k + 90 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 2*b - 20. Let n(q) be the third derivative of -3*q**6\/10 + 9*q**2. Let w be n(-1). Calculate the highest common factor of w and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5260?\nAnswer: 2, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 3*h - 2*h + (3 - 3 + 1)*(h - 3*h + h) + 4*h - 3*h + 4*h)*(-5 + 2 + 2) to the form z*h + g and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/672*16*(-7)\/(-20)*-14?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(8\/5))\/(l**(-6\/11)*l))\/(l\/l**(-3\/4))**41 assuming l is positive.\nAnswer: l**(-15313\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 388.1 + -388.6. What is the nearest to -0.1 in 0.7, w, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 796333369 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 5:54 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-2))\/(-3))\/((-42)\/(-42))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*y + 10, -2*y + y - 5 = 0. Let w(t) = -8 + 47 + t + t + o*t. Let r be w(0). What is the highest common factor of r and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and -14 - (-425 - (-6 - 4))?\nAnswer: 2005","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, q: 2}. Give prob of sequence ii.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + sqrt(1053))**2.\nAnswer: -450*sqrt(13) + 5390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*p*r*t**3 + 55*p*r*t + 249*p*t**2 + 6*p - 4*r*t**3 - 92*r*t + 4*t**2 wrt t?\nAnswer: -72*p*r*t + 498*p - 24*r*t + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -761201, -761190, -761179?\n\"Answer: 11*c - 761212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2540118, 10160465, 22861050, 40641879, 63502958, 91444293?\n\"Answer: f**3 + 2540113*f**2 + f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/1363 - 58605\/5452. Let t = 137\/12 + w. Which is the third smallest value? (a) -4 (b) t (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1186319 is divided by 84734.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.21*-0.089.\nAnswer: 0.01869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/8 + 2\/8. Suppose -59 = -2*a + 2*v + 41, 0 = -f*a + 3*v + 102. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -118, -116, -102, -70, -14, 72, 194?\n\"Answer: b**3 - 5*b - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 18*g**2 - 18. Determine k(-18).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 14 = -5*h - 0*v, 4*h - v = -7. Which is the second biggest value? (a) 0.5 (b) 5 (c) h (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 74, 76, 80, 86?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((2\/(-7))\/(24\/(-56)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2 - 4. Suppose k + 5*x = 26, k + x - 13 + n = 0. Suppose 0 = -k*l + 7*l - 159. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/28 + 384\/7. Let a = r + 27. Calculate the remainder when a is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7)**(-3\/4) assuming y is positive.\nAnswer: y**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**5 + 22596*d**4 + 747666*d**3 + 2039580*d**2 = 0.\nAnswer: -30, -3, 0, 11331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1714325 (base 10) to base 14.\nAnswer: -328a7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/2822232 and 25\/471.\nAnswer: 2822232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223643469 is divided by 6942.\nAnswer: 6939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122*q**2 - 200 - 200 - 119*q**3 + 400 + 28*q**2 wrt q?\nAnswer: -714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + y - 2. Let z be p(-4). Let t = z - -40. Solve 5 = -2*m + t*k - 7, 3*k = 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -692674+-0.5\nAnswer: -692674.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6782675 divided by -25595\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114 + 118. Suppose 2*d - 6 - 4 = -x, 4*x - 20 = -s*d. Suppose v - 1257 = -x*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - d + 2*d)*(0*d + d + 0*d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5301 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6050675 and 1777575.\nAnswer: 4325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (648\/(-90))\/6*30\/1062?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 2*x = -13*b + 30, -5*x = b - 29 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8b819 - -4?\nAnswer: 8b820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + j = 10, 22 = -2*c + 3*j + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 + 13584*o**3 + 9864856*o**2 - 2832196080*o + 173880660100.\nAnswer: 4*(o - 115)**2*(o + 1813)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29128, -58273, -87418, -116563, -145708, -174853?\nAnswer: -203998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1372\/3, 12\/19, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 18*u**2 + 7*u + 5. Suppose -3*g = -76 + 79. What are the prime factors of k(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b - 1270 = -1201 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222 - 112?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(4*4\/144). Let s = -21 + q. Suppose -s*k + 4*k + 40 = 0. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7da26 (base 15) in base 13?\nAnswer: 110406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834457367 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11948167 - -628043449885\/52564. Let d = p - -2\/2319. Let v = -113\/68 + d. What is the second smallest value in v, -0.1, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1376599 = 20*c - 1376779 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-10))\/((-3)\/10). Suppose 0 = -2*v - 2*o, g + 5 = -3*o. Suppose -3*l + 36 = l. What is the highest common divisor of v and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*n - 3471 = -360*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20619527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 49.2?\nAnswer: -9.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**2)\/(g\/g**(4\/11)*g))\/((g**(-4\/3)\/g)\/(g*g**(3\/8))))**16 assuming g is positive.\nAnswer: g**(566\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 8*h**2 - 11*h + 8. Let f be s(-6). Solve 0 = -f*b + 1 - 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -0*w - w - 2*o, 4*w = 3*o - 214. Suppose -5*s + 16 = -14. Suppose s*j = 4*j - 100. Do j and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*i**3 + 0 - 4*i + 3\/2*i**2.\nAnswer: i*(i - 2)*(i + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 55*d**2 - 20*d + 47. Suppose b = 3, 4*v - 3*b + 0 = 3. What are the prime factors of o(v)?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -31. Let n = 2 - -1. Suppose -f*z = -n*z - 44. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 584\/17. Let v = j + -109\/68. Calculate the common denominator of v and 69\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 419, 413, 405, 395, 383, 369?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -359 - -321. Let q be (-3)\/((-3)\/(-141995)) + 33 + l. Round q to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctjlk. What is prob of sequence kc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 - -0.14. Let m = 0.22 + 0.08. Are m and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1025.4 - -1.64\nAnswer: -1023.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 1861.\nAnswer: -5, 2, 1861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.2651 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*p = -14, 4*n + n - 4*p = 66. Suppose 2*q - 3*k = 762, 7*k + n = 2*k. Does 42 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250)\/sqrt(5))\/sqrt(5))\/(sqrt(5) - sqrt(25)\/sqrt(5)*-3) + ((sqrt(2) + (-1*sqrt(10))\/sqrt(5) - (sqrt(162) - (0 + sqrt(162) - sqrt(162))))*1)**2.\nAnswer: sqrt(2)\/4 + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -10*b**2 + 290*b + 6. What is d(29)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-574743)\/13)\/(48\/(-112) - 8\/14)?\nAnswer: 3, 14737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 11. Let u = 13 + -19. Let f be t(u). Suppose f*q - 4 = 6, x = -2*q + 26. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/(-4) - 1\/4 - (26 + -36)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5881954?\nAnswer: 2, 13, 29, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/2977372 and 119\/513340.\nAnswer: 14886860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17600998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6 = w + 13, -11 = 3*w - 5*q. Let z be 160\/12 + w\/6. Suppose -h = -0*f - 5*f - z, f + 17 = 5*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/1)\/((-2)\/(-24)*-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10259208 (base 10) to base 16\nAnswer: 9c8b08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*n = -20. Suppose 25 = n*f - 5*z, -2*z = -f + 2*f + 4. Factor -5*k - 1\/2 - 25\/2*k**f.\nAnswer: -(5*k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**3 - 69*w**2 + 21*w + 54. Is t(-24) a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 3*p + 38*z = -21 - 70, 0 = 4*p + 5*z - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.39 times 6?\nAnswer: 8.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/1060 and 3\/424.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + -44.996. Let u = -0.374 + z. Let a = u - 5.33. Round a to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s**3 - 522*s**2 - 3168*s + 299560. Calculate p(105).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 9. Suppose 98 = -2*o + y*w, 3*o + 67 = 2*o - 3*w. Let n = 557 - o. Round n to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 214.11817 to zero decimal places.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190536 by -6.\nAnswer: 31756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 17. Let x = s - 13. Solve 0 = -o + 4*o - x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 7*q**2 - 27*q - 18. Let l be v(12). Let p = 382 - l. Solve -9 = -p*c - 29 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 3. Let b be x(2). Let j be ((-8)\/b)\/((-4)\/(-10)). Solve 0 = -a - 3, -j*o + a = -3*a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0.2. Let w = -2\/7759 - 2180261\/69831. Let o = -31 - w. What is the biggest value in -0.3, m, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a microgram in nanograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68041 and 1960.\nAnswer: 133360360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (270\/(-21))\/(-6)*13\/65. Suppose -c - 4 = w - 3*c, -c = -2. Put p, w, 11\/2 in ascending order.\nAnswer: w, p, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 170251404 to the nearest integer?\nAnswer: 13048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + 32. Let n = a + 15.9999983. What is n rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.8 and -0.09?\nAnswer: -0.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -0.13. Round x to one decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20919 and 943464?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161826?\nAnswer: 2, 3, 7, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 2*k + 35 = 0, 17*x + 2*k - 55 = -86 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 3)*3\/(-2). Let x(y) = 3*y**2. Suppose 0 = -q + o - 11, 3*o + o - 37 = 3*q. Let t(i) = 61*i**2 - 122*i**2 + 60*i**2. Calculate q*t(n) + s*x(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 476816670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 27. What is the remainder when 44 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133900 is divided by 7876.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d**3 - d**3 - 4*d**3)*(0*d - 4*d + 11*d) - d**2 - d**2 + d**4 + d**2 to the form r + z*d**3 + c*d**4 + n*d**2 + m*d and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-6)\/4 - (-10)\/40. What is the closest to 1 in -8, -2\/21, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m**2 + 3*m - 5. Let l(h) = 3*h**2 + h - 3. Let r(i) = 5*l(i) - 2*w(i). Let c be r(3). What is the second biggest value in 0.2, 2.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 52*m + 1. Let j(p) be the first derivative of p**2 + 360. Calculate j(f(a)).\nAnswer: 104*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 47 = -5*m. Suppose -4*j - 4*o + 16 = 0, 15 - 3 = m*o. Suppose -58*y + 57*y = j. Solve -3*a - 3*z = 0, -a = 3*z - y*z - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/45)\/(-3 - -2) + (-47 - -48)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 61.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 3. Let w be a(2). Let j(m) = -5*m - 1. Let u be j(-1). Is 705\/20 + w\/u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -39 + 9\/2*z**2 - z - 1\/6*z**3. Calculate g(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.26 - 0.26. Let g be (-7)\/63*141 - -16. What is the closest to 36 in g, 2\/17, w, 4\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13 - 1)*(-2)\/4. Does 22 divide 87\/2 + k\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 1. Let y(g) = -18*g**2 + 48*g**2 + 2*g + 4 - 9*g**2 - g**3 - 27*g**2. Determine 4*a(u) - y(u).\nAnswer: u**3 + 6*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4814244580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 10225?\nAnswer: -10232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 52440699 to the nearest 100000.\nAnswer: 52400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -q - 62, -3*q + 6*p - p = 178. Let i = -34 - q. Suppose 102 = 5*w + i. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.9191 - 0.0409. Let d = p + 16. Let k = 0.04 - d. Is 2\/5 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 1:57 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2209 - 921. What is the common denominator of 3\/(-8)*z\/(-210) and (-5)\/((-550)\/5)*(1 - -12)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003616 rounded to 4 dps?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(6336))\/sqrt(4)*5 + sqrt(121)\/(sqrt(11) + ((sqrt(110)*1)\/sqrt(10) - sqrt(11))) + 0.\nAnswer: -239*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 5*f + 2 + 4 = 0, -14*f + 8 = -18*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6646\/339 or 20?\nAnswer: 6646\/339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 16 - 24 = 0. Suppose 0 = -0*y - m*y + 20. What is the nearest to 0 in 1\/3, y, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0 - (225 + -235).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)\/sqrt(4))\/sqrt(12))\/(sqrt(200) - (sqrt(200) + (sqrt(200) - (sqrt(200)*-2 + sqrt(200)) - sqrt(200)))).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 1096?\nAnswer: 17\/1096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l - 63 - 12*l + 3*l + 6*l to g + y*l and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhnlhhnllhlh. Give prob of sequence hl.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 - -0.96. What is the fourth smallest value in -2, 3, -0.5, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2. Let p be -2 + 1\/1 + 3. Let n(q) = -q**2 - 2*q + 2*q + 3*q**p. What is n(a(i))?\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 30498.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 96300?\nAnswer: 96300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 91 - 19 = 0. Let x(h) = -s + 12 - h - 2. Let k(w) = -w**3 - 6*w**2 + 2. Let q be k(-6). Determine x(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 39*i + 16 = 40*i, 1 = -c - 2*i. Let a be (-2)\/c - (-16)\/(-24). Suppose -4*z - 11 = -3*b, z - 10 = 3*z. Sort a, -4, 3, b in ascending order.\nAnswer: -4, b, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2157249*m**2 + 3264*m - 33 wrt m.\nAnswer: -4314498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11389 + 110.\nAnswer: 11499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 17 - 19)*(0*s**3 + s**3 - 2*s**3) + s**3 + 2*s - 2*s.\nAnswer: -21*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 + 11 + (-75 - -21) + 19?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4070613853?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/3840 and 9\/6080.\nAnswer: 72960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + 7 + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 3*a**2 - a + 4. Suppose -30 = -3*g + g. Suppose -6*p = -p + g. What are the prime factors of j(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2720 and 177440.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 324.5053.\nAnswer: -32.45053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 63.\nAnswer: -31.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 + 111*j**2 - 262*j - 156. Let t be s(53). Solve -8*p + 19 = -t*m - 12*p, 2*p + 12 = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6960*u - 55675. Give h(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -44*h + 47*h - 3*s, -3 = 3*s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.13 - 10.0995. Let w = -382.8305 + p. Round w to the nearest ten.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-63) + (-33)\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 70*h**2. Let d(o) = -3369527*o. Give g(d(x)).\nAnswer: 794759854261030*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/20522784 and -121\/66699048.\nAnswer: 266796192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**4 + 8*m**2 + m - 2. Let x(g) = -739*g**4 - 24*g**2 + 153*g + 6. Let b(t) = -3*r(t) - x(t). What is the second derivative of b(j) wrt j?\nAnswer: 8796*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 1883 = 3*l + 6*p, -l + 5*p = 617. Let r = -336 - l. Let t = -153 + r. What is the remainder when t is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 11, 81, -2 in descending order.\nAnswer: 81, 11, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -13 - (-24 - (32 - 12))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16065 (b) 3 (c) -2\/3 (d) 1 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -163 + 203. Calculate the lowest common multiple of 10 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*r - 2)*(1 + 0 + 1)*(-2 + 4 - 1).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024162877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 8*q - 10747 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + sqrt(19))**2 + (sqrt(1216)*1)**2.\nAnswer: -2*sqrt(19) + 1235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15909 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8213 + 7262 - 19686 = -3*d. List the prime factors of d.\nAnswer: 3, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -14*n - 170. Let i be v(-13). Solve i*x - 8*x = 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54290750777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 0*n**2 + 1\/4*n**4 - 25*n - 1\/2*n**3 + 0. Find the second derivative of f(o) wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 12*j = 25. Solve -j*m + 45 = -6*n + 2*n, 10 = n + 3*m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 9*a - 11. Let b be q(8). Let f = b + 5. Factor -25*j**3 - 2*j - f*j**5 - 12*j**4 + j**3 - 16*j**2 + 2*j.\nAnswer: -2*j**2*(j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -8. Find the common denominator of -37\/10 and ((-102)\/(-54))\/((-2)\/o).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4 + 17*(-1)\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1*14\/35*(-6)\/(-4)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - -0.03. Let i = n - 0.15. Let s = 118.6 - 119. What is the biggest value in -3, s, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 715\/136 + -43\/8. Let k = 9.5 + -5.5. Sort 0.04, k, m, -0.2 in decreasing order.\nAnswer: k, 0.04, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 + 17*h - 10. Let g(u) = u**2. Suppose -t + 7 = 8. Let m(f) = t*d(f) - g(f). List the prime factors of m(18).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v + 10. Determine r(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 262*l - 24476 + 36266 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 5. Let v = i - 3. Solve 4*r + v = -10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 1\/4, -2, -199230286 in increasing order.\nAnswer: -199230286, -2, -2\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 9, 2\/5, -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-10)\/125*1).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 13. Let r = i - -19. What is the greatest common factor of 2 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*n - 86*n - 11 = -180*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 20766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*v + 2 = 0. Let m be v\/(-4)*(-1 - 171). Suppose -6 = -2*i - m. What is i rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374141994 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -248789710 by -5.\nAnswer: 49757942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10100010111100100010010 (base 2) to base 11\nAnswer: 301763a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -81*d + 402. What is the thousands digit of o(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27588, 55171, 82744, 110301, 137836, 165343?\n\"Answer: -c**3 + c**2 + 27587*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + (sqrt(637) - (sqrt(637) + 1))*-3 + -5.\nAnswer: -2 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*98\/(-35).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 9*j**3 + 0*j**3 + 0*j + 1 + j**2 - 10*j**3. Let w(p) = -5*p**3 + 3*p**2 + 3*p + 6. Suppose -18 = -y + 7*y. Calculate y*a(c) + w(c).\nAnswer: -2*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 11:30 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313 = 277*v - 6 + 1427. Put -6, -1, 163, v in descending order.\nAnswer: 163, -1, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m**2. Let v(y) = -24*y**2 - 14*y. Let f(c) = -5*c**2 - 3*c. Let z(h) = 14*f(h) - 3*v(h). Give z(i(o)).\nAnswer: 128*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -45?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0401204 to 4 decimal places.\nAnswer: 0.0401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**2\/3 + 9904012*b\/3 - 39616016\/3 = 0.\nAnswer: 4, 4952002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from {g: 1, d: 1, r: 1, w: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -595 and -0.2.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**2\/5 - 36*g\/5 + 81\/5 = 0.\nAnswer: 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -181*o**2 + 2. Let h(t) = -t. What is p(h(f))?\nAnswer: -181*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 0*w = 45 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 0. Let d = 31107 + -31485.13. Let s = d - -378. Which is smaller: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 161206, 161432, 161658, 161884, 162110?\n\"Answer: 226*z + 160980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9322 - -9910. Calculate the smallest common multiple of n and 14.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**2 + 9134*d*p - 2*p - 1161667 wrt d?\nAnswer: 2*d + 9134*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-36) + 106\/9. Suppose b*o = 18*o + 2676. Calculate the remainder when 57 is divided by 4\/30 - (5 + o\/30).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m - 4. Let d(r) = -r + 1. Calculate 15*d(i) + 3*l(i).\nAnswer: 6*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 205369 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 96\/12 - 4 - (0 + 1). Let l(a) be the third derivative of 0*a**h + 0*a**4 + 1\/40*a**6 - 1\/10*a**5 + 0 + 0*a - a**2. Factor l(v).\nAnswer: 3*v**2*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 11*y - 2 = 8*y, -4 = 2*s - 4*y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = -3*f + 20, f = -2*d + 8. Suppose -d*t - 159 = -x, 5*t - 96 = -5*x + 729. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 27, 5, 4, -72 in decreasing order.\nAnswer: 27, 5, 4, 1, -4, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 2. Let t be g(-3). Find the third derivative of f**4 + 7*f**2 - 3*f**2 - f**4 - 2*f**t wrt f.\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2575225 - -65?\nAnswer: 2575312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 4*t - 3*r, 81 = 2*t + 5*r - 2*r. What is the tens digit of t\/4 + 4\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2709 and 1270584.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194, 642, -2 in descending order.\nAnswer: 642, -2, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 160*r + 157*r - 3, -10*o = -2*r - 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -539*o + 537*o - a + 46, 0 = 4*a - 152 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/11 + 4\/(-22). Let p = 3 - 24. Let y be 24\/14 + (-6)\/p. Solve -d - 14 = y*i, -3*d - 6 = l*i + 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 172 = -3*s - s, 2*s = 3*d + 92. Suppose -7*m + 3*m = -s. 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: 0.853344 times -0.05\nAnswer: -0.0426672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -20*z**2 - 17*z + 17. Let f(t) = 7*t**2 + 0 + 2*t + 4*t + 3 - 9. Let x = 24 + -7. Give x*f(c) + 6*m(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58821, 58718, 58625, 58548, 58493, 58466, 58473, 58520?\nAnswer: 58613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 38*b = 495. Calculate the highest common divisor of b and 140.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 7*w + 5. Let u(v) = -2*v**3 - 11*v - 8. Determine -8*c(o) - 5*u(o).\nAnswer: 2*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/7 + 0 + -2. What is the closest to j in -4, 6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*h - 2*h - 4, 2*g + 2 = -h. Solve h = -5*i - x + 28, 0*i + 4*i = -4*x + 32 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/125 and 22\/49.\nAnswer: 6125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 + 13*j**2 - 68*j - 437. Determine m(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3623, -3616, -3613, -3620, -3643, -3688, -3761?\nAnswer: -3868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*i = -5*i - 3, -p = -3*i + 5. Solve -8 - p = -2*r + 2*j, 4*r = -5*j + 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(2 - (-26)\/(-12)). Let m = -36.9 - -36.6. What is the fourth smallest value in m, 1\/8, s, -2\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 0*s**3 - 1\/10*s**5 + 0 + 0*s**2 + 19\/12*s**4 - 9*s. What is the third derivative of x(q) wrt q?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.056*31\nAnswer: 1.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(539))**2 + sqrt(33)\/(sqrt(3)*-2) + 0 + (sqrt(77)\/sqrt(28) + sqrt(11))**2 + -2 + sqrt(22)\/sqrt(2) + sqrt(11).\nAnswer: 3*sqrt(11)\/2 + 2247\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, 577, 2172, 5279, 10402, 18045, 28712?\nAnswer: 42907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 179219 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-25) + 2\/15 + (-6)\/18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 9 (c) 1\/2 (d) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6) + (-24)\/36\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7741 - -49495103?\nAnswer: 49487362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -909230 by -181846.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**2 - 1 + 94*b**3 - 73*b**3 - 22*b**3. Give g(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 4284418.\nAnswer: -4284417.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 207 and 115?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 685*z**2\/2 + 4385. Let j(r) = 14*r**2. Calculate x(j(u)).\nAnswer: 9590*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4)\/a**(2\/11)*(a**(2\/11)\/a)\/a*a*a**6)**25 assuming a is positive.\nAnswer: a**(525\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148*(10\/4 + -2) is divided by 24 - (-9 - (-6 - 17)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 3:46 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110230.\nAnswer: 2, 5, 73, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 226*v**2 + 575. Let z(r) = -76*r**2 - 191. Let f(b) = -8*m(b) - 26*z(b). What is the derivative of f(a) wrt a?\nAnswer: 336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/9)*c)\/c**(2\/27)*(c**0\/c*c)**43*((c\/(c\/(c\/c**(1\/19))*c)*c)\/(c**(-6)*c))**(-8) assuming c is positive.\nAnswer: c**(-23990\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 17*v**2\/2 - 6*v + 38. Let w be d(1). Let c be (2 - w) + 5 - (-4)\/1. Sort 5, 4, c in decreasing order.\nAnswer: 5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 190.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09 + 2.91. Suppose 8*r - 6*r + 10 = 0. Let w be 3\/r*5\/15. Put w, 0.3, i in decreasing order.\nAnswer: i, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*((-32)\/12 + 3)*(3626\/(-111) + 32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) -9 (b) 1.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -848683 rounded to the nearest 10000?\nAnswer: -850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 20. Let l(g) = g**2 + g. Let n(h) = -3*h**2 - 5*h. Let f(a) = d*l(a) + n(a). Let m(u) = -2*u**2. Give f(m(j)).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17237527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 82 and -10693?\nAnswer: 10775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 223 - 223 + 244*j + (1 + 1 + 2)*(j + 2*j - j) + 1 - 1 + j - 2*j + 0*j + 0*j to the form w + x*j and give x.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8043\/80 - 249551\/2480. What is the common denominator of s and 181\/30?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 15*m**3 - 3*m**2 - 35*m - 40. Let y(t) = -4*t**3 + t**2 + 12*t + 13. What is -7*y(g) - 2*z(g)?\nAnswer: -2*g**3 - g**2 - 14*g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1102 + 3.708\nAnswer: -1098.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 2:09 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 123480899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*x**4 + 20*x**2 - 832 wrt x.\nAnswer: 48*x**3 + 40*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(((b*b**(-3\/2))\/b*b)\/b))\/b*b*b*b)\/(b\/(b\/(b\/(b\/b**5)))))**(-34)\/((b\/(b\/(b**6\/b*b)))\/(b\/b**5)*(b*b\/b**(-2\/5))**(7\/10)) assuming b is positive.\nAnswer: b**(-717\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 3:34 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.013985 to 1 dp.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 4\/1381577 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -28. Let k = -276 + 240. Sort a, 1, k in descending order.\nAnswer: 1, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106 - -104. What is the third smallest value in -0.2, -1, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1064 and 608?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmgmmmmmmm. What is prob of picking 3 m?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 30, 65, 106, 159, 230?\n\"Answer: n**3 - 3*n**2 + 37*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-424)\/(-265) - (-4)\/10 - -5. Solve -t = 4*d - 15 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 16, 17, 18?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3017821.1*-4\nAnswer: -12071284.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -11101111101111?\nAnswer: -11101111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/6 and 38\/255179.\nAnswer: 1531074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15088272 and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a century in months?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 - 71 - 61)*(-b + 2*b - 2*b) + (-1 + 0 + 2)*(-2*b - 1 + 1).\nAnswer: 181*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 7, 1559, 0 in decreasing order.\nAnswer: 1559, 7, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**3 - 46*d**2 - 32*d + 12. Let x be f(16). What is the fourth biggest value in 0.1, -3\/7, 0.13, x, -1\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*n - 4*n. Suppose -8*x + n*x = -3505. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-three eighths of a litre in millilitres?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 358, 496, 718, 1024, 1414?\nAnswer: 1888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19604 = 155*g - 5964 for g.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*h**2 + 121*h**2 + 120*h**2 + 3*h**2 in the form o*h**2 + g*h + l and give o.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q = -13*q + 3, -4*g - 4*q = 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/7)\/k**(2\/23))**(-3)\/((k**0)**4*k**(3\/10)*k**(-1\/4)*k) assuming k is positive.\nAnswer: k**(-1161\/3220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36 - -663?\nAnswer: 663.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -27*p - 9\/10*p**5 + 0*p**3 + 0*p**2 + 3*p**4 + 0. Find the third derivative of k(f) wrt f.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/56*170)\/(2\/100). Let g = z + -23391\/11. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -10222202120?\nAnswer: 10222202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 4*d - 1, -39*d + 34*d + 20 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 13. Let o = a + -9. Let m = -15 - -30. Solve 5*z - o - m = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) -0.5 (c) 2\/7 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27, 250, 499, 786, 1123, 1522, 1995?\n\"Answer: 2*c**3 + c**2 + 206*c - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 7 - 6 - (2 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -11 (b) -2 (c) 0.05 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f + f + 5*f + (-1 - 1 + 3)*(f - 1 + 1) + 2*f - 5*f + 0*f + (-2*f + 3*f - 2*f)*(-2 + 0 + 0) + 1 - 1 + f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f + 5 = v, 13 = 5*f + 2*v. Let a(x) = 8*x**3 - x**2 + x. Is a(f) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3924 and 17256612?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(7\/3)*n)\/(n\/n**(-5)*n))\/(n**(2\/21))**(-3) assuming n is positive.\nAnswer: n**(-71\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + q = 6, 4*u - 371 + 395 = -4*q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (3 + (2 - 1) - (-124 + 121))) + 1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 6*g**2 + 2*g - 7. Let t be m(6). Suppose -1 + t = s. What is the second derivative of 6*l**2 + 3*l**3 - 2*l**2 - s*l**2 + 7*l wrt l?\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*w = 3*a - 68*w - 189, 4*a = -3*w + 252. Solve -a = -6*r - 87 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 1:47 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/3)\/(-3 - (-42)\/12). Let p be ((-1)\/(-2))\/((-14)\/12). Let q = 0 - -1. Which is the second smallest value? (a) p (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 3, l: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 7, 1 in decreasing order.\nAnswer: 7, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 3 - 27*r + 2 + (3 + 0 - 1)*(-3*r - 3*r + 4*r).\nAnswer: -31*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 33 = 2*w, -3*w - 4*j = -12 - 50. Suppose -c = w - 15. Solve -2*m + 9 - c = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1151.024ml?\nAnswer: 1.151024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 11 + (-9 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 9*y**2 + 124*y + 533. What is f(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -4*z + 6*z. Suppose 3*o = -4 - z. Let q be 38\/4 - (-9)\/o. Solve 4*h - 11 = q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 361959 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*n + 26*n - 344 - 334 + 676 - 32*n.\nAnswer: -111*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40725 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**2 - 2*f + 2. Let b be v(-1). Suppose 12*o = 7*o - 5*g + 20, b = -o - 2*g + 7. Solve 3*c - o + 7 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14017 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*b - 4, -3*b + 3 = 2*n - 4*b. Calculate the highest common divisor of n and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -361, 580, 2 in increasing order.\nAnswer: -361, -5, 2, 4, 580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -938 and -19.9262.\nAnswer: 18690.7756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 467788451 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2773171145 to the power of 1\/2, to the nearest integer?\nAnswer: 52661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from yydydddyddddddddddd?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 3 - (-102 + 5 + -7). Calculate the highest common divisor of v and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 14. Calculate the highest common divisor of h and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15179327 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 5*d - 2*d)*(7*d - 25*d + 22*d - 19 - 70).\nAnswer: 8*d**2 - 178*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 7:48 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, l: 1, z: 1, c: 1}. Give prob of sequence mml.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r - 8*r**2 + 11062 + 0*r - 11062.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**4\/7 - 2493*s**3\/7 + 39108*s**2\/7 - 17683*s\/7 - 18930\/7 = 0. Calculate s.\nAnswer: -1262, -1\/2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -161*s. Let u(t) = t - 16020. Calculate j(u(v)).\nAnswer: -161*v + 2579220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156343 is divided by 156332.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n - 25*n - 26 = 0. Let w be (8\/(-7))\/(n\/(-91)). Put 5, w, -5 in descending order.\nAnswer: 5, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 21. Suppose 5*s + z*k = 20, -3*k + 4 = -3*s - k. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8600*c**2 + 9336*c**2 - 17940*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/42*87\/29?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53 - -6?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4387, -4370, -4337, -4282, -4199?\n\"Answer: k**3 + 2*k**2 + 4*k - 4394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 146.\nAnswer: 29.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -0.4 (b) 4 (c) 3 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -88, -7, -8 in decreasing order.\nAnswer: -5, -7, -8, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*k**4*q - 12*k**4 + 2*k**3*q - 5163*q wrt k?\nAnswer: 44*k**3*q - 48*k**3 + 6*k**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133 - -95. Let j = 65 + f. Calculate the remainder when 51 is divided by ((-4)\/2)\/((-3)\/j).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 9*c**2 + 8*c - 8. Let d(m) = 3*m**2 + 3*m - 3. What is -8*d(r) + 3*n(r)?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -9*x + 60 + 10 - 30. Let z be y(4). Suppose -3704 = -4*n - z*d, -4*d - 2743 = n - 4*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 866 - 0.4.\nAnswer: 865.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2*n - 4*n)*(-127 + 599 + 229).\nAnswer: -701*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*t + 14 = -8, -16 = -2*s + 3*t. Suppose -s*q = 5*b - 34, 14 = 2*b + 2*q - q. Suppose b = 5*z - 129. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -36. Let m = z - 7. Suppose 5*n = m*a + 200, -167 = -5*n + n + a. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) 0.05 (c) 1\/5 (d) 0.1 (e) -90 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/(l\/(l**(-2\/7)*l)*l)*l)**(-31\/5)*(l*l**(-4\/5))\/((l**0*l)\/l))\/((l**0*l)**(-6))**(-1\/21) assuming l is positive.\nAnswer: l**(-592\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10264988917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*h**2 - 6*h**2 + 0*h**2)*(-2 - h**2 + 2) - h**4 + 0*h**4 + 2*h**4 + 5*h**4 - h**4 - 3*h**4)*(3*h - 6*h + h + (-5*h - 3*h + 5*h)*(-2 + 0 + 4)).\nAnswer: -32*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 2, 5\/2, -1, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1591 - -16?\nAnswer: -1576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -980 by -5.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*w - w - 2016 = 0, 2*i = 5*w - 1358. Let q = 676 + i. What is the remainder when q is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/3717168 and 9\/4186?\nAnswer: 3717168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5\/2))**(-7)*(w*w*w**(-1))**39 assuming w is positive.\nAnswer: w**(113\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, -40, -142, -336, -652, -1120?\n\"Answer: -5*q**3 - q**2 - 2*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 17*q + 11. Let b be (-2)\/(-5) + 24\/15. Let n(x) = -2 - 6*x + 0*x - b. Let h = 34 - 23. Determine h*n(y) + 4*l(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 20 - 15*k**2 - 372*k**3 + 194*k**3 + 24*k + 179*k**3. Give r(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -14044*h**2 - 14002*h + 15. What is j(-1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 1107 - 1107.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/96604 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-9\/4)\/(w*w**(-3\/5)) assuming w is positive.\nAnswer: w**(-53\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -33006?\nAnswer: 33010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59221657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 3081.3989?\nAnswer: 15406.9945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 33*d**2 - 43*d + 2. Let l(m) = 97*m**2 - 133*m + 7. Calculate -2*l(n) + 7*t(n).\nAnswer: 37*n**2 - 35*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2 + 47723*x - 47722 = 0. Calculate x.\nAnswer: 1, 47722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 262081 and 411?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*p**2\/3 - 69*p - 38\/3.\nAnswer: (p - 19)*(11*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-7)*(-1018)\/(-22). Let z = 45\/7 - n. Let o = -2.2 + 0.2. Which is the second biggest value? (a) z (b) o (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0810863314 times -0.1\nAnswer: -0.00810863314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -14. What is the nearest to n in -1\/7, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -14*c**2 + 10*c - 6. Let t(u) = 3*u**2 - 2*u + 1. Calculate 2*s(a) + 11*t(a).\nAnswer: 5*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -12, -5*d + 0*d = -4*o + 6. Suppose 4*p - 3*f = d*f + 1, 0 = -4*p + 4*f. Calculate the remainder when 42 - p - (-4 + 1) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -12, 4, 5 in decreasing order.\nAnswer: 5, 4, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -26*b**2 - 36*b - 12. Let m(j) = -j**2. Let g(l) = -m(l) - x(l). Solve g(p) = 0.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.42684 - -0.26684. Sort p, 0.5, -4, 35\/9.\nAnswer: -4, p, 0.5, 35\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5306, -5347, -5422, -5525, -5650, -5791, -5942, -6097?\nAnswer: -6250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.4 (b) -1 (c) -3 (d) -387.9 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 2 - 3) + 6. Let n = -12 + 12. Solve a = -c - n*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 375, 1022, 1933, 3108, 4547?\nAnswer: 6250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 2640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -390 - -573. Suppose 3*n = -4*x + 156, 3*n - 4*x - k = x. What is the greatest common factor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfmvtv. Give prob of picking 2 v, 1 m, and 1 t.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*n + 4, -5*n = -5 - 10. Suppose -7*v + 5*v + y = 0. Solve -3*b + v = -10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 12:16 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114242 - 3?\nAnswer: -114245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r + 2. Let m be u(0). Find the second derivative of 12*w**2 - 7*w**2 - 18*w - 12*w**m wrt w.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/10 and -67\/29250?\nAnswer: 29250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26508, -53550, -80592?\nAnswer: -107634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - -57 - (10 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -2*k**2 - 30 - 2\/9*k**3 + 0*k. Solve o(s) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/4)\/9 - (-13)\/2. What is the first derivative of a*k + 11 - 50*k - 6 + 6 wrt k?\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5347 + 0.0347. What is the closest to 0.4 in 0.4, s, -4\/5, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32291601, 64583197, 96874793, 129166389, 161457985, 193749581?\nAnswer: 226041177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59410.\nAnswer: 2, 5, 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6242701 (base 9) to base 12\nAnswer: -1149b9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/20)*m**(-4\/13) assuming m is positive.\nAnswer: m**(-119\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -366 - -782. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513581 a multiple of 509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 137080862*x**3 + 245519405 wrt x?\nAnswer: 411242586*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -43, -954, -2467, -4576, -7275, -10558, -14419, -18852?\n\"Answer: i**3 - 307*i**2 + 3*i + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 586\/65 - 112\/13. What is the nearest to -0.1 in q, -0.5, 1, -2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21956 = 4*p + 2*k + 3*k, -5*p + 27466 = k. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 23 - 5*p**2 + 2*p**2.\nAnswer: -3*p**2 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6841574 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2. Let d(k) = -4*k + 6. Give d(p(h)).\nAnswer: -8*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 20 = 5*z, 3*j - 4*z - 20 = -3*z. Calculate the greatest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from iaiiccaiaiccc.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26428965 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/142852 and 31?\nAnswer: 142852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1421076873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 100113 (base 4) in base 13?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s + 0*s - 3*s + (-262 + 262 + 4*s)*(-5 + 3 + 1) as q*s + x and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 23674, 1, -4, 0.125, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 11. Let h be q(-12). Let r = h - 10. Which is smaller: 5\/3 or r?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbmbssmg. Give prob of sequence gv.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 86\/3. Let b = -16 + 10. Let z = b - -5.8. What is the nearest to -1 in j, z, 1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 832827*d - 832799*d + 1036 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 + n**2 - n + 1. Let o(w) be the third derivative of 11*w**6\/120 - w**5\/60 + w**4\/24 - w**3\/6 + 69*w**2. Let d(p) = 6*h(p) + o(p). Give d(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*x, 3*z - 12 - 5 = -2*x. Which is the closest to 1? (a) z (b) 2\/5 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 15*u**2 + 5*u - 47. Is p(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 11874 = -3*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - f + 6*f**2. Let l(m) be the second derivative of -m**3\/2 - 590*m. Give n(l(y)).\nAnswer: 54*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10643\/20 + -532. Let c(p) be the third derivative of 0*p - 2*p**2 + 0*p**4 + d*p**6 - 11\/6*p**3 + 0*p**5 + 0. Differentiate c(o) wrt o.\nAnswer: 54*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11336 times 9\nAnswer: -102024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4454.3 and 86681.92.\nAnswer: 91136.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4024, -8049, -12064, -16063, -20040, -23989?\n\"Answer: d**3 - d**2 - 4029*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4693141 divided by -6.\nAnswer: 4693141\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 961.164987928 from -0.5.\nAnswer: -961.664987928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-2)\/(-18)*3\/1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0067623 to 4 dps.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4251 + -4251.29591. What is k rounded to 3 dps?\nAnswer: -0.296","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -t - 0*o + 23, -3*t - 1 = -5*o. Let a(r) be the first derivative of t*r + 2*r**2 - 7 + 0*r**2 + 6. Let z(k) = k + 2. Determine -2*a(b) + 9*z(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -16, 4, -3, 0.26?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + d - 1. Let z(o) = -2*o**2 + 4*o - 2. Let j(s) = -4*m(s) + z(s). Does 3 divide j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**3 - 13*b**2 + 29*b + 93. Let m be c(-3). Let p(z) = -19*z**2 - 4*z + 3. Let u(l) = -19*l**2 - 3*l + 2. Give m*u(f) + 2*p(f).\nAnswer: 19*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 117 + 127 - 363 + 118. Let w(a) = 5*a**3 + a - 6. Give 6*u(j) - w(j).\nAnswer: -5*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-102)*48\/32*((-3)\/(-1))\/3\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 108702 to the power of 1\/2, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-8)*(-1520)\/(-665).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, -1.122, -0.1, 2\/11, -18, -9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5419 (base 11) in base 4?\nAnswer: -1233313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2200 (base 3) to base 13.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*b**2 + 6*b**2 - 3*b**2 + 0 - 2 wrt b?\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23 + 5*g**2 + 0*g**2 + 22)*(-26*g - 9*g + 2*g)*(0 + 3 - 2)*(g - 4*g - 3*g) in the form v*g**2 + k*g + w*g**4 + q*g**3 + c and give w.\nAnswer: 990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111\/10 + -1281\/110. Let t be 3\/8*(11 - (-217)\/(-21)). Sort t, k, -0.4, -5 in descending order.\nAnswer: t, -0.4, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 3*p + 12, 4*c + 2*p - 4*p = -18 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -26. Suppose -3*g + 4*g = 3. Let x = z + g. Let b(n) = -3*n**2 - 2*n - 5. Let u(h) = 2*h**2 + h + 3. Calculate x*u(t) - 3*b(t).\nAnswer: -t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1448 and 9?\nAnswer: 13032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 330899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4432 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 - 3*q - 2. Let a be h(-1). Let u = 6 - a. Let o(y) = -y**3 + 3*y**2 - 2*y + 1. Calculate o(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 487210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + 3. Let b = 77 - 17. Calculate the highest common divisor of b and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2339378647.\nAnswer: 2339378647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2608607098.\nAnswer: 2, 1304303549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18280 is divided by 962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**5\/10 + 5*b**4\/3 + 29*b**3\/3 + 20*b**2 + 699*b. Suppose q(a) = 0. Calculate a.\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79.97 - 80. Sort -0.3, -4, 3, u in ascending order.\nAnswer: -4, -0.3, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.25986 + 12.10686. Let l = p - 12. Round l to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 155\/616 - -3\/88. Let z be 9\/(-15) + (-634)\/(-880)*7. Let k = z + -37\/8. Which is the closest to -0.1? (a) o (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.422 take away 157168248667?\nAnswer: -157168248663.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 233760 and 5040.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 18640\/20761?\nAnswer: 18640\/20761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2158, -17731, -60112, -142711, -278938, -482203, -765916, -1143487?\nAnswer: -1628326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22411311 (base 5) in base 9?\nAnswer: 335435","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**3 - 12*n**2 - 5. Let s be f(-5). Suppose -4*b = -2*t - t - s, -2*b + 138 = 4*t. Calculate the remainder when b is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/8, -41, -5 in decreasing order.\nAnswer: 1, -1\/8, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/2989171 and -89\/421010?\nAnswer: 29891710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*i + 30, u + 23 = -4*i - 2*u. Let f(z) = -z**2 + z + 1. Let m be f(i). Put 5, 1\/6, m in increasing order.\nAnswer: m, 1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25026 and 456.\nAnswer: 1901976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -271 + 253. Suppose -12*c - 22 = -82. Let m(y) = 23*y**3 + 5*y**2. Let o(s) = 81*s**3 + 18*s**2. Give c*o(d) + z*m(d).\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 45\/(-18))*(-113004)\/387?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4972 and -0.228?\nAnswer: 4971.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9181008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - h**2 + 2*h - 49. Let r(b) = -9964*b**3 + 141*b**2 - 282*b + 6909. What is -141*f(m) - r(m)?\nAnswer: 9823*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -38*(7\/(-2) + 3). Let a = y + -4. Let s = 21 - a. What is the remainder when 15 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220222 (base 3) in base 12?\nAnswer: -482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 374299.03 to the nearest one thousand.\nAnswer: 374000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + 21100?\nAnswer: 21000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-139)\/(-834))\/(10\/1380).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 5*u - 12. Let b be o(10). Suppose -2*c = -7*c + 555. Let x = b + c. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(30\/(-102)))\/(2\/5). Which is greater: 0.2 or p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5447 and 4.\nAnswer: 21788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1700*x + 4941. What is c(-3)?\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*c + 91*c - 1216 - 127*c + 112.\nAnswer: c - 1104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v + 10*v + 0 - 5*v - 4 - v**2 - 6*v. Give a(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(-2*sqrt(3)))**2 - ((-1 + sqrt(2))*5 + (sqrt(72) + sqrt(8))**2).\nAnswer: -237\/2 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -42*q - 24. Let w(l) = -l - 6. Let z(h) = s(h) - 30*w(h). Determine z(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10 + 403\/(-39))\/(3\/(-221553)*1)?\nAnswer: 103, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((10 - 13) + -9 + (-39 + -4 - -6))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - o - 30. Let n(j) = o*j**2 + 13*j**2 + 6*j**2. Let v(y) be the third derivative of y**5\/30 + 2*y**2 - 55*y - 5. What is n(v(q))?\nAnswer: 100*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13337 + 13335. Let q(f) = -2*f**2 - 7*f - 7. Give q(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 78716 or 2912442\/37?\nAnswer: 78716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1900 minus -0.4?\nAnswer: -1899.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -4*g + 8, -333*g + 328*g = -3*h - 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 147416?\nAnswer: 147412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**3 - 386*m**2 + 54*m?\nAnswer: 12*m - 772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*-135430.\nAnswer: -4875480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 171, 357, 545, 735, 927, 1121?\n\"Answer: b**2 + 183*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(-6)*(16 - 13). Let u(q) = q**3 + 11*q**2 - q + 4. Does 6 divide u(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 + 55 - -35*79 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 57 = 3*m + 4*o + 9, 2853 = 256*o - 956 + 1249 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**3 - 92*r**2*s**2 + r*s**2 + 13*r wrt r.\nAnswer: -6*r - 184*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 56420345 (base 7) to base 9\nAnswer: 10181718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*o = -2, -4*z - z - o + 22 = 0. Suppose -63*h - 42 = -66*h. Let n be (26 + -4 - h)*(-2)\/(-8). Solve -n*j + z = -4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 6*n + 12. Let f be w(-7). Suppose -f*z - 3*s + 87 = -88, 143 = 4*z + 3*s. What is the greatest common factor of z and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1297*z - 30084 = 16608 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 30 = -3*w + w, -39 = -t + 5*w. Suppose 4*r = -r - 45. Let s = r + t. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*v = 27, 12 = -2*i - 2*v - 0. Suppose -11 = -8*s - 24 - 11. Put -1, s, -2, i in decreasing order.\nAnswer: -1, -2, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 13*v + 32. Let r be d(-14). Let f = 28 - r. Let t be (-5)\/f*(-2 + 44\/7). Is t equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18075, 36309, 54555, 72819, 91107, 109425, 127779?\nAnswer: 146175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59056693 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (1 + -9 + 5 + 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26277, -4, -0.22, -5\/6 in ascending order.\nAnswer: -4, -5\/6, -0.22, 26277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/19 - 30*f - 568\/19.\nAnswer: -2*(f + 1)*(f + 284)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522*q = -505*q - 17 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 15 = -3*h. Let j = 28006\/9 - 3112. Which is the closest to -10? (a) 3\/4 (b) j (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 944\/19 != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/336 - (-875)\/147. Put -23, l, -2 in ascending order.\nAnswer: -23, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.8 * -2.4\nAnswer: 16.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4 + 7 = 2*r, -4*f - 4*r = 4. Let u be (51\/f)\/(-3) - 3. Factor u*t**3 + 0 + 2\/5*t**2 + 0*t.\nAnswer: 2*t**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nezenxneezeez. What is prob of sequence ne?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17 + 3*l**2 - 74 - 10*l - 71 wrt l?\nAnswer: 6*l - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160805113 is divided by 37?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 429 and 579067203?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/((-4)\/(-336)). What is the greatest common divisor of k and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -240?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 13. Let a(v) = -2*v + 27. Let y(t) = 2*a(t) - 5*z(t). Let r be y(5). Let c be (-7)\/7*(-4)\/r. Is c > 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.054629s in days?\nAnswer: 0.0005330396875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -9*g - 31*g. Solve g*t - 2*m + 8 - 2 = 0, 2*m = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180605 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56 or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 522*i**3 + 10*i**2 - 5*i - 1. Is o(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*x + 165*x - 491*x + 3*x**3 + 163*x.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**8\/960 + z**6\/360 - z**5\/30 + z**4\/12 + 2*z**2. Let w(m) be the second derivative of y(m). Is w(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 792 + -785. Solve -1 = 6*b - l*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 2)*(-11*z + 37 - 37)*(-z + 2*z**3 + z)*(4 - 5 + 2) to y*z + s + k*z**2 + l*z**4 + i*z**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-38))\/((-13107)\/4731627).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 77638104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2)*u)\/u)**(-41)\/(u**1\/u)**12 assuming u is positive.\nAnswer: u**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39002165693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -267 <= -266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -14. Let j(i) = i**2 - 12*i + 6. Let w be j(n). Let a = w - -38. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -32*y + 1. Let a(b) = -5*b**2 + 10*b. What is t(a(w))?\nAnswer: 160*w**2 - 320*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 12 = 3*y - 2*y, 4*x = 3*y + 20. Suppose -41 = -4*q - 9. Suppose q + 13 = 3*i. Calculate the remainder when i is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-2)\/20)\/(484\/(-440)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 l when four letters picked without replacement from lfflflffllll.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -0.0099?\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(108)\/sqrt(4).\nAnswer: 2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2233591293 divided by 3?\nAnswer: -744530431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 312\/143 - (-2)\/(-11). Solve l*u + 2 = -4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 8 + 3 = 0. Differentiate c - 2 + 2 - f**4 with respect to f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278214496.\nAnswer: 2, 7, 1242029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/80 and 117\/69220?\nAnswer: 276880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 2)*(3*j**4 - 2*j**4 + 0*j**4) + (j**2 + 2 - 2)*(3*j**2 + 4 - 4).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-27)*(u\/(u\/(u\/(u\/((u\/u**(2\/53))\/u)))))\/u)**36 assuming u is positive.\nAnswer: u**(-53496\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3045 = 89*q + 119*q - 63*q for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -6.2, 2, -2, -5?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -15. Let h = 26 - x. Suppose 2*w - h = w. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3 - 7 = 0. Let n = 1 + -5. Let h be 2\/4 + n\/8. Solve -j = -u - h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 391879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -441433100 + -131?\nAnswer: -441433231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-8) - 142\/88 and ((-12)\/(-14))\/(20\/(-259)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 20584 = 27490. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 23. What is the common denominator of -137\/12 and 183\/q*-5*(-16)\/120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32)\/(-10) - 1\/5. Suppose i = b + 2. Suppose 0 = -12*s + 42 - 6. Which is bigger: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7026 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*s**2 + 3 + (-4 - 3*s + 4)*(0 + s + 0) + 2 + 2*s**2 + 0 - 5 + s**2 + 0*s**2 - 4*s**2.\nAnswer: -6*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-16.44.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 130443.4 - 7159797\nAnswer: -7029353.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59201 and 119519.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (-22 - -48) + (17 - -2) + -2 + 0?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*s = 203*s - 390 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmxxxxxxxnnxnx. Give prob of picking 1 n and 3 x.\nAnswer: 48\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 68*l - 10. Suppose i = -2*d - 4, -d - 21 = -i - 28. Let m be k(i). Are m and -346 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -297524 divided by -148762.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26, -16, 10, 58, 134, 244, 394?\n\"Answer: x**3 + 2*x**2 - 3*x - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -40858938?\nAnswer: -40858940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-105408)\/17584 - -1*7. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.062 in 0.5, 2, 1, -2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4 - 3. Suppose 0 = -3*f - k + 16. Suppose 53 - 3 = f*d. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 7, 0.3, -18?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1488 and -11047.\nAnswer: -16437936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8.6+10444374773\nAnswer: 10444374781.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1564 - 120020.3.\nAnswer: -121584.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 35. What is m(-16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 159 and 2491?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(100) - sqrt(75)\/(sqrt(3)*1))\/(4*sqrt(1500)\/sqrt(12)).\nAnswer: sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234\/5*u + 3\/5 + 237\/5*u**4 + 234\/5*u**3 - 48*u**2 = 0 for u.\nAnswer: -1, 1\/79, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 397677 and 17023.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258868936 to the nearest integer?\nAnswer: 16089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**6 + 2355*b**5 + 30869*b**2 wrt b?\nAnswer: -120*b**3 + 141300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2452*k**2 - 5*k - 1. Is s(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 11*h**2 + 7*h + 13. What is l(10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 592.29758 rounded to 1 dp?\nAnswer: 592.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -11*x**2\/2 - 1262. Let n(c) = -10*c + 1. Give -2*n(u) + 3*z(u).\nAnswer: -13*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1395466 to four dps.\nAnswer: 0.1395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 80\/32 + 2\/4. Suppose 0 = 5*d + r*f - 745, -d = f - 0*f - 147. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i - 1. Let s be l(3). Suppose 0 = -s*d - 59 + 144. Calculate the remainder when (-987)\/14*2\/(-3) is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.9 - 8.3. What is the nearest to 0.3 in 4, t, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l - 24. Let v(o) = 10*o - 23. Let x(c) = 6*q(c) - 7*v(c). List the prime factors of x(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 7. Suppose -g + 3*n + 20 = -b*g, -30 = -3*g + 3*n. Solve 0*k = g*k + 15, 0 = 4*y + 2*k + 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -99410, -99409, -99408, -99407, -99406?\n\"Answer: k - 99411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - 6)\/(-2 - (-14)\/8). Let k be z*(-1)\/(-4)*-5. Let h(j) = -j**2 + 3*j - 4. Determine h(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30cb2 + -3?\nAnswer: 30cad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*x + 27921, -16759 = -3*x - 16*w + 12*w. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 41 = 5*y + 4*h, -h = -5*y + 21. Suppose y*n - 795 = -5*g, 0 = -4*n - 2*g - 0*g + 630. Is 17 a factor of n\/9 + 21\/(-9) + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/55)\/((-2)\/(-20)*4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-1 + 4*(sqrt(832)*2 - sqrt(832)) + -1)*-2)**2*4.\nAnswer: -2048*sqrt(13) + 213061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236116 is divided by 9437?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -5. Let r = -4 + c. Let v = 3 + r. Solve -5*o = v*l + 6 + 29, -2*o = 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21 + (-2)\/(-1 + 3). Let s = 55 + -91. Let f be s\/(-10) + (-4)\/(-10). Calculate the greatest common divisor of f and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1845, 3, 0, 4, -2, 6.\nAnswer: -1845, -2, 0, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012020 (base 3) to base 9.\nAnswer: -1166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 31. Suppose -4*u + 32 = o, -2*u + y*o + 16 = 3*o. Suppose -2*i + u*i - 168 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**7\/350 - 17*l**6\/200 - 53*l**5\/50 - 36*l**4\/5 - 144*l**3\/5 + 373*l**2. Determine s, given that i(s) = 0.\nAnswer: -6, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12545752 and 10024.\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57357689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011010011010 + -1111?\nAnswer: -1000011010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m - 5. Suppose 3*p + 2*p - 50 = -5*a, -3*a + 5*p = -38. What is the smallest common multiple of a and i(3)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5308482 and 2853?\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23245, -23288, -23359, -23458?\nAnswer: -23585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102 - 222112210?\nAnswer: -222122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/1 - 3\/(-2)*28. Suppose 0 = -4*q + 3*t + 61, 3*q - 7*t - f = -2*t. Solve 4*m = 2*n - q, 3*m - 2*n - 7 = -19 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2 + 9*c + 2. Let k be (4\/6*-6)\/1. Let j be x(k). Let p be (-8)\/6*12\/(-8). Solve -u = p*h - 1, -2*h - 3*h + 4*u = j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b + 20. Let j be f(-7). Suppose 0 = -v - 3*z + 34, -j*v + 4*v + 75 = -z. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22212110 (base 3) to base 12\nAnswer: 38a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8053 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1352997615?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5850360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-10\/11)\/l**(-40)*l**(-14)\/((l*l**2*l*l)\/(l**(-4)\/l)) assuming l is positive.\nAnswer: l**(166\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/10)\/((-18)\/20). Let b be (-12)\/(-16) + (-62)\/8. What is the third smallest value in b, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 8*b - 9. Let s be h(-6). Let o be 3 + (2\/1)\/2. Suppose -o*q + 17 - 5 = 0. Solve -2*c + 22 = -g - s*g, g - q*c + 18 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1215021391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from yvyyfyyyvfkkfn?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + y = -3, y = -5*n - 131 + 121 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -243 at least -237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -594*g + 400*g**2 + 69360 - 1780*g**3 + 10454*g + 1785*g**3.\nAnswer: 5*(g + 12)*(g + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (380\/855)\/(8\/30)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18, 147, 276?\n\"Answer: 129*o - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 5, 16224, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3917 (base 14) to base 12.\nAnswer: -5969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1353 - -2370. What is m rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -318, -23, -5, 13, -2, -3 in increasing order.\nAnswer: -318, -23, -5, -3, -2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**4\/6 + 7*i**3\/6 - 9*i**2\/2 + i - 15. Calculate n(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7, -10, -17, -28, -43, -62, -85?\n\"Answer: -2*r**2 + 3*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2. Let i(t) = -t + 88. Determine h(i(v)).\nAnswer: 2*v**2 - 352*v + 15488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 477 divided by 159.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c - 14. Determine q(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.9 - -4.1. Sort 0.1, f, 0.03.\nAnswer: 0.03, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63299.51um to kilometers.\nAnswer: 0.00006329951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5 + 2.7. Which is the second biggest value? (a) j (b) 2.6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/(-2) + (-2)\/4. Let c = b - 4. What is the common denominator of (-27)\/c - (-2)\/(-5) and -18\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 1161*b**2. Let j(n) = -930551*n**2. What is o(j(i))?\nAnswer: 1005339114940761*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**4\/2 + 3827*m**3 - 3*m**2\/2 - 11482*m - 7654 = 0?\nAnswer: -7654, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3468\/37 <= 93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -524, -1047, -1594, -2177, -2808, -3499, -4262?\nAnswer: -5109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1\/5, 5, -0.4, 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2011 = 143. Round d to the nearest 10.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 728352 and 60696.\nAnswer: 728352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfi when three letters picked without replacement from aaaikaawaafavkfvv.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38773 is divided by 296.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3224 - -4027. Calculate the highest common factor of x and 511.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 11*p - 149. Let u be b(9). Calculate the greatest common factor of u and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.8. Let f = -0.4 - z. Let j = f - -0.7. Which is the second smallest value? (a) -2 (b) -0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10288 + -7218. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28768 and 20357855?\nAnswer: 651451360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -3 (c) -4 (d) 0.0053 (e) -6 (f) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 279*q**4 + 147*q**4 + 245*q**4 + (q - 3*q + 0*q)*(q**3 - q**3 + 2*q**3).\nAnswer: 667*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*k + 2926 = 154*k - 18*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-192)\/104)\/2*52\/(-8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + z - 16. Let w be i(-7). Let s = w - 9. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6 + (-20)\/(-6). Let b be ((-1056)\/27)\/(-11) - (-6)\/(-27). Suppose 14\/3*s**o - b*s**2 - 4\/3 - 6*s + 6*s**3 = 0. What is s?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k**2 + 52*k + 12. Let z be i(13). What is the fourth biggest value in z, -0.2, 24, -1\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (sqrt(448) + 1)**2)*1 + -2*1*sqrt(448) + (2 + ((sqrt(448) - (sqrt(448) + 0)) + 3 - sqrt(448) - sqrt(448)))**2.\nAnswer: -184*sqrt(7) + 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 12*h - 87. Suppose 0 = -3*i + 2*d + 22, 0 = 2*d + 1 - 3. Let k be g(i). Which is the third smallest value? (a) k (b) 0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10000181?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - -2. Suppose 2*i + 2 + v = 0. List the prime factors of (-2)\/i + (-52)\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/4, -0.3, -3, 0.5, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eegojge. What is prob of sequence geej?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25718507, -25718503, -25718499, -25718495, -25718491, -25718487?\n\"Answer: 4*o - 25718511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**2 + 80*r + 76 = 0. Calculate r.\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 - -0.03. Let n = 54.1 + -54. Which is the third smallest value? (a) -1\/9 (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 30*d + 1. Let u(z) = 13*z. Give u(b(w)).\nAnswer: 390*w + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -648634 + 5?\nAnswer: -648628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2394 divided by 3?\nAnswer: -798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 286*r**2 + 172*r - 49. Is l(-32) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 1359 = 5*g + 3*a, -4*g + 1797 = -a. Round g to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1, -11, -23, -37, -53, -71?\n\"Answer: -m**2 - 7*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (25 + (-4 - (4 + -9) - -7))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -236, 2\/9, 540, -2 in decreasing order.\nAnswer: 540, 2\/9, -2, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/3990*14)\/(2*(-1)\/3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-130)\/(-35) + (-2)\/(-7). Let n(s) = 48*s**2 - 4. Let i be n(q). Suppose -3*l - l + i = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 140380544?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 2. Let f be d(-2). List the prime factors of (-86)\/f - (-4)\/(-12).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 21*i = 48. Suppose 492 = i*f + 4*o, -2*o - 107 = -f + o. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3119940, 3119934, 3119926, 3119916, 3119904, 3119890?\n\"Answer: -f**2 - 3*f + 3119944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*i**2 + 3*i - 3*i**2 - 20059*i**4 - 4*i**2 + 20091*i**4 + 0*i**3 + 3*i**3 wrt i?\nAnswer: 768*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(448) + sqrt(448) + 2*sqrt(448) + -2) - 6*((sqrt(448) + 1)*1 + sqrt(448)))**2.\nAnswer: -896*sqrt(7) + 351236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 2. Suppose -15 = 5*p - 0. Give t(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49395577 and 308.\nAnswer: 197582308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyqpqyflfpqqqyfqqq. What is prob of picking 1 q and 1 y?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1872 - -1874. Which is the nearest to 0.1? (a) -31 (b) r (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2099997*v - 15. Let c be d(5). Round c to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**3*p)**(-12\/13)*((p**(3\/10)*p)\/p*p)\/(p*p**(3\/2)*p) assuming p is positive.\nAnswer: p**(-443\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 10521120?\nAnswer: 10521120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -25*y. Let v(i) = -3*i**2 + 3 + 7*i - 3. Let h(s) = s**2 - 3*s. Let p(l) = 7*h(l) + 3*v(l). What is k(p(r))?\nAnswer: 50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141 - 63. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -35*s + 2485. Let d be l(71). Suppose 1 = -a + 3. What is j in 24 - 12*j + 3*j**2 - 8*j + d*j**2 + j**a = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + j + 27463 = 0, 3*s = -80*j + 77*j + 82395. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/199? (a) -2\/225 (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 64 = 5*o. What is the highest common divisor of o and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35, 118, 255, 446, 691, 990?\n\"Answer: 27*r**2 + 2*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1526248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 79\/(9717\/(-3649)) - (4 - 34)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*(2*sqrt(637) - sqrt(637)))**2 - (-4 + (0 + sqrt(52) + 4 + sqrt(117))**2).\nAnswer: -40*sqrt(13) + 9855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30956706 to the power of 1\/3, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y**3 - y**2 - y. Let n be i(-1). Let t(d) = 33*d - 37. Let g(h) = -11*h + 13. Let q(k) = -8*g(k) - 3*t(k). Is q(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2302, 9203, 20704, 36805, 57506, 82807?\n\"Answer: 2300*m**2 + m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-1) + -1 + -370. Let s = i + 503. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**3 - 26*h**2 - 1453*h - 13160. Give a(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + -2.7. Let u = m + 5.9. What is the second biggest value in u, -4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11785411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1784.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**4 + 4*l**4 - l**4 + (1 + l**3 - 1)*(-1 + 1 + l) + (3 - 3 - 2*l)*(10*l**2 - 10*l**2 - l**3).\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a**2 + 0*a**2 + 2*a**2)*(-533*a + 336*a - 460*a) to d*a + b*a**2 + y + n*a**3 and give n.\nAnswer: -1314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r. Let b(i) = 7*i - 21*i + i + 9*i. What is k(b(o))?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + (sqrt(684) + -1 + -4 + (sqrt(684) - (sqrt(684) - (3 + -2 + sqrt(684) + sqrt(684)))))*5))**2 + -3.\nAnswer: -103500*sqrt(19) + 3860722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34478363.\nAnswer: 17, 2028139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 0.30357, -2.\nAnswer: -4, -2, 0.30357, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 437442 (base 8) to base 4\nAnswer: 203330202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = b - 110, b - 4*t + t - 110 = 0. Let w(y) = 5*y - 3*y + 3 - 5. Let k be w(6). What is the greatest common divisor of k and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 5*g. Suppose g = 4*b - 3*u + 106, 0*b - 3*b + 3*u = 81. Is b greater than -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113387779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4574977 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62\/7 - -9. Suppose 2*u - 3*u = -r - 1, -3*r - 27 = 5*u. Put -0.1, w, r in decreasing order.\nAnswer: w, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f. Let s(a) = -22*a - 6. Let g(c) = 6*p(c) - s(c). Does 15 divide g(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*v + 11 = -3*i, -3*i = -5*v - 21. Let m be (-3)\/4 - (-188)\/16. Find the third derivative of 21*l**6 - 10*l**i - 38*l**6 + m*l**6 wrt l.\nAnswer: -720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 2*h**2 + 2*h + 22. Calculate w(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 1137*x**3 - 6*x**2 - 228*x + 1. Let d(f) = -2272*f**3 + 14*f**2 + 457*f - 2. Let a(i) = 3*d(i) + 7*k(i). What is the second derivative of a(z) wrt z?\nAnswer: 6858*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6855*g - 742*g + 676133 for g.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 13*t - 56. Let k(f) = -20*f + 84. Let r(m) = 5*k(m) + 8*u(m). Let x be r(8). Suppose 4*s + 13 = -3*o, 3*s = x*o - s + 8. Which is greater: o or -16?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.303 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1152))\/((sqrt(72)*1)\/sqrt(8))*-2.\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 2*i - 5*u + 12, 2*i - 12 = u. Suppose -9*d - i*d = -75. Which is the nearest to -0.2? (a) -1\/11 (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 3*s + 12 = -5*s, -3*s - 15 = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -7. Let v(t) = -t + 7. Let c be v(s). Let o(a) = -468*a**3 - a**2. Is o(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -18. Calculate the remainder when 11 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36110 and 2761610?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i**2 + 40*i. Let t(w) = 6*w**2 - 42*w. Determine -2*n(p) - 3*t(p).\nAnswer: -4*p**2 + 46*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 58635.3 times 224?\nAnswer: 13134307.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (9 - (24 - 11))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - (-42)\/12)*(-4)\/(-16). Let x = -71 - -70. What is the third smallest value in b, x, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdsyddmdy. Give prob of picking 1 d and 1 s.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddgyvyydggydygy. Give prob of picking 2 v and 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/787, -5, 0.249, -1, -12 in ascending order.\nAnswer: -12, -5, -1, 2\/787, 0.249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -0.2. Let k = -1.086 + -0.014. Let x = 1 + k. What is the closest to x in -1\/6, g, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-228)\/(-1064))\/((-12)\/(-14))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 5 = 4*b, 2*b = -4*k + 78. Suppose 42 = 7*x - k. Calculate the lowest common multiple of 3 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.268 + 0.032. Which is the nearest to 0.1? (a) -0.3 (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 2*(-271)\/2. Let r = -248 - o. What is the remainder when 106 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/4 (b) 244 (c) 95 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2236 and 253270.\nAnswer: 6585020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-51)*1)\/(22\/108*(-13644)\/(-37521)).\nAnswer: -9\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8999352 rounded to 4 dps?\nAnswer: 0.8999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n + 14. Let b be i(-6). What is the nearest to -1 in b, 0.3, 26?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -12. Suppose n = 5*a - 2. Let s(o) = -2*o + 32. Let f be s(17). Put f, a, 3 in descending order.\nAnswer: 3, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -138655 (b) -883 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162570749*w + 2*w**2 - 162570749*w + 3*w**3.\nAnswer: 3*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 u, and 1 o when four letters picked without replacement from gbobbbgggbugbbg.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 1 + 1)*(0*i**2 - 4*i**2 + 3*i**2 + 2*i**2 + 3*i**2 - 4*i**2 + (4*i + 0*i - 3*i)*(0 + 0 + i) + (-21*i**2 + 100*i**2 - 14*i**2)*(-1 - 3 - 2)).\nAnswer: -778*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -212125?\nAnswer: -212128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*h - 287 = 0, 0*h + 213 = 3*q - 3*h. Suppose 4*k - 34 = -q. What is the units digit of 9\/(-15) - 126\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + n + 0*n = 135, 0 = 2*x + 4*n - 54. Suppose -5*m + 25 = -10. Let o = m - -3. What is the remainder when x is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33957, 65425, 96889, 128349, 159805, 191257?\nAnswer: 222705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 1\/240*m**4 + 0*m + 1\/600*m**5 - 4*m**2 + 0 + 0*m**3. Factor d(n).\nAnswer: n*(n + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5022*s**2 + 2078*s?\nAnswer: -10044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 615 + -2459\/4. What is the nearest to b in -3\/4, 0.02, -0.4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 8*j = -15. Solve j*t - 20 = -3*n - n, t = -3*n + 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-2)\/(-8)*(-2)\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 0, j - 2*g + 3 = 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojij when four letters picked without replacement from {j: 2, i: 3, r: 4, o: 1, a: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 8324639*x + 8324640.\nAnswer: -(x - 8324640)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 2*y + 2. Calculate the greatest common factor of 8 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 186604578?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 1986*o. Let l(j) = -727*j. Determine f(l(w)).\nAnswer: -528529*w**2 + 1443822*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4512 times -3?\nAnswer: -13536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2384*a**3 + 32*a + 1332. Let u(k) = -217*k**3 - 3*k - 121. Let m(o) = 3*d(o) + 32*u(o). What is the derivative of m(y) wrt y?\nAnswer: 624*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/3964328 and -50\/38156657.\nAnswer: 305253256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s**3 + 46*s**3 - 11*s**3)*(1 + 1 - 1)*(2 + 0 - 3)*(-6 - 18 - 3).\nAnswer: 1161*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 719.038 kilograms to milligrams.\nAnswer: 719038000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 574 and 24798522.\nAnswer: 24798522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**6 - 3*q**4 + 13*q**2 - 3*q. Let z(j) = j**4 + j. Let f(y) = k(y) + 3*z(y). Find the third derivative of f(g) wrt g.\nAnswer: 480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-1))\/((-9438)\/(-858))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 1 - 6*m - 2\/9*m**3 + 2*m**2. Factor a(b).\nAnswer: -2*(b - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(153\/4182*(-10)\/(-3))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c - 2350 = 0. Let f be (-2)\/9 - c\/45. Suppose -2*n + 102 = -4*m, 3*m + f = n - 0*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eyyyeemememme?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1730*s + 92397 + 30940 = -9873 for s.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*r - 4. Let b(l) = -l + 29. Let s be b(13). Suppose o + s = 5*o. Solve -5*a + r*h - 2 = 0, -5*a = -h - 3*h + o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a. Let i(k) be the third derivative of -k**5\/60 - 5*k**4\/12 - 4*k**2. Let u(f) = 3*i(f) - 4*x(f). What is the second derivative of u(z) wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**4\/4 - q**3 - q**2\/2 - 2*q + 1. Suppose 3*p + 20 = 5*n, 0 = -8*n + 3*n + p + 30. Let j = n + -10. What is u(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**7\/210 - x**6\/60 - x**5\/5 + 5*x**4\/3 - 16*x**3\/3 + 687*x**2. Let r(q) = 0. What is q?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3*r = -11, 411*k - 407*k + 17 = r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8694 and 90607902?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*y - 11 = 0, -4*y = -4*x - 9*y + 40. Let j = -3 - -8. What is the tens digit of -58*(x\/(-2))\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*q**3 - q**2 - 2*q**3 + 3*q**3 + 2*q**3 wrt q.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*j = 19, 0 = -4*z + 4*j - 13 + 1. Let w(r) = r**2 - r + 2. Let t be w(-4). Let h be 128\/(-264) + z\/t. Put h, 2\/5, 4 in decreasing order.\nAnswer: 4, 2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 260928948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*j = 12035 + 13997 - 30387 for j.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347 = 3*p - 247. Calculate the highest common divisor of p and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5290 divided by 6\nAnswer: 2645\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -14, -16, -16, -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3619 a factor of 114411066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -9 - (25 + (-2 - -1) - (-15 - -11)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**6\/1260 + u**5\/210 - u**4\/28 + u**3\/6 + 2*u. Let j(g) be the second derivative of z(g). Factor j(c).\nAnswer: 2*(c - 1)*(c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 21 = -5*z - 3, -5*l = 4*z - 26. What is the second derivative of -c**4 - 8*c - c**z - c wrt c?\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*j**3 + j + 3)*(4*j - j + 15*j)*(-4 + 5 + 4) to f*j**3 + i*j + s*j**2 + x + v*j**4 and give s.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 11*s**5\/60 - s**4\/6 + 2*s**3\/3 - 1. Let w(f) be the third derivative of n(f). What is the units digit of w(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 333 = -631*n - 5358 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 153.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 48\/4 - -5. What is the third derivative of 10*k**4 + x*k - 10*k - 6*k + 36*k**2 wrt k?\nAnswer: 240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40539937.9999993 - 40539934. Let i = 4 - k. What is i rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -116, -299, -578, -965, -1472, -2111?\nAnswer: -2894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -118348933 - -5?\nAnswer: -118348928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**2*k**3*l + 2*b**2*k*l**2 - 9*b*k**3*l**3 + 97*k**3*l + 15*l**3 wrt l.\nAnswer: 4*b**2*k - 54*b*k**3*l + 90*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0 + 4 = 0. Suppose -47 + 3 = -4*j. Suppose -d*p + j = 4*m + m, 4*m = 4*p - 8. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -1bc0?\nAnswer: 1bc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.46 - 0.06. Let o = f - -19.6. Let b = o - 21.4. What is the closest to -0.2 in -2, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58202611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**4 + i**3 - i - 1. Let a(n) = 30*n**4 + 2*n**3 - 40*n**2 - 2*n - 3. Let x(o) = -a(o) + 3*p(o). What is the third derivative of x(q) wrt q?\nAnswer: -792*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -22*v + 3. Let s(z) = 3*z**2 + 11232*z + 11224*z - 22456*z. Determine s(r(q)).\nAnswer: 1452*q**2 - 396*q + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220221111202 + -11?\nAnswer: 220221111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1237 + -1?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -182421 and 3487.\nAnswer: -636102027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 3*y = -38, 2*y + 3463 = 3431 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 divided by -35?\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8*y - 5 = 0. Let f = 6 - y. Solve -f*w = -n - 22, 0 = -4*w - 0*n - n + 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from csyyudguc. Give prob of picking 2 u, 1 d, and 1 g.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33796403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0965438 and 5?\nAnswer: 0.482719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -148 + 230. Suppose 0 = -n*i + 75*i + 4452. Is i a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*m = -73, 2*r - m - 354 = -3*r. Let i = 47 - r. Let a = 4 - i. 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 266*b - 398737 = 2945149. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 2. Let s be 6 + -2*(-1)\/y. Suppose 0 = -2*u - 2*u - s. Sort -5, 4, u in descending order.\nAnswer: 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -3 - (5 - 2) - (-123 + 117).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1866 and 8?\nAnswer: 7464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 214.66 - 217. Let w = 2.340129 + f. Round w to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((1\/(-8))\/(29\/116)) + 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**2\/5 - 31071*k\/5 - 11488896\/5 = 0. What is k?\nAnswer: -9973, -384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7111490*n**5 - 74142732*n**2?\nAnswer: 426689400*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b - 12*b = 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1) - 19\/8. What is the third biggest value in 4, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -291 - -408. Suppose -7 = -2*r + 19. Calculate the highest common factor of j and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 42) + -1 + (-7867 - -7790).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z + 3. Let y(q) = 16*q - 4. Let x(k) = 3*k - 1. Let p(v) = -5*x(v) + y(v). Let r(b) = 5*b + 7. Let w(m) = 6*p(m) - r(m). What is -h(l) + 3*w(l)?\nAnswer: l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41 - 76056031?\nAnswer: -76055770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 1 = 8. Put -1, 2, d in ascending order.\nAnswer: d, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10858 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1179995 + 4 - (-1 - 0). Round w to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 22*m - 21*m + 13, 3*c = m - 27 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 3*z + 18, 0*r + 35 = -5*z + 5*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1052390131 and 1469?\nAnswer: 1469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2))**(-45) assuming j is positive.\nAnswer: j**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/10*(-104)\/3. Suppose -5*x + x = -y. Suppose 3 = c + 1. Solve -3*u + 5*t = -3 + x, -t + c = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/30 and (20\/63)\/(3 + (-312)\/112).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 117971864 to the nearest ten thousand.\nAnswer: 117970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*3\/(0 + 3). Let q be 1\/((-2)\/20*k). Suppose -5*a = z + 7, 3*z + 3*a + 12 = q*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 72717.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4108 divided by -1027?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11 + 13)\/((-5)\/7). Is -3 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -352*r**3 - 3525*r**2 - 48*r + 48. Determine l(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 5*i**2 + 4951*i + 29665. Determine q(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-5 - -4) + -5 + 5 - 20\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00086403 rounded to 6 decimal places?\nAnswer: -0.000864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 329880 and 989640.\nAnswer: 989640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rrrrrrrrrrrrrgrrrrgr.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 1\/151 (c) 2\/7 (d) -2\/9 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -37*d + 345. Give t(11).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 707206?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-832)\/6)\/(35\/21). Let k = a - -84. Let 2\/5*u**2 + 0*u + 2\/5*u**4 + 0 - k*u**3 = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -15 (c) 4 (d) 8\/125 (e) 1 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20721013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14590 - 14565. Solve 153 - 28 = -w*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 v, 1 m, and 1 q when four letters picked without replacement from kkqvkbkbkvbbkvmkbuvu?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0030613 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i + 9*i - 2 + 22*i + 20*i - 276*i**2 + 269*i**2 in the form w*i + p + m*i**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 3*h + 15 = 6*h, 4*h + 29 = 3*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 24*k**2 + 27*k - 25. Let b(t) = t - 1. Let y(s) = 3*b(s) - r(s). Let c be y(23). Sort 8, -4, c, 5 in decreasing order.\nAnswer: 8, 5, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**6\/10 + 39*d**5\/20 + 51*d**4\/4 + 35*d**3\/2 - 150*d**2 - 502*d. Solve k(w) = 0.\nAnswer: -5, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 158, 179, 214, 263, 326, 403?\n\"Answer: 7*y**2 + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8661, 17326, 26003, 34698, 43417?\nAnswer: 52166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 115466*c + 3333099289.\nAnswer: (c - 57733)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4598270425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**4 - p**2 + p**2 + 2*p**4 + 6*p - 1 to l*p + v*p**3 + t*p**2 + q*p**4 + j and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4603052.\nAnswer: 2, 1150763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-110)\/8)\/(2\/(-16)) is divided by ((-12)\/36)\/(-1 + (-220)\/(-222))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = g + 2, 3*g = -5*t - 2248 + 2228 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 40775, 40730, 40665, 40586, 40499, 40410?\n\"Answer: u**3 - 16*u**2 - 4*u + 40794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4\/8 - 3*n**3\/2 + 45*n**2\/2 + 108*n.\nAnswer: -3*n*(n - 8)*(n + 6)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d - 5*d + 3*d + 8. Let l(w) = -4*w - 7. Let k be 66\/(-24) + 6 - 1\/4. Let g(h) = h. Let p(j) = k*g(j) + l(j). Calculate 4*m(r) + 5*p(r).\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 5)*(0*g - 5*g + 4*g + 1).\nAnswer: -3*g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -90 - s**3 + 88 - s**3 - s. Calculate the remainder when b(-2) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*(2*(sqrt(1573) + sqrt(1573) + 1) + 5))**2.\nAnswer: 4928*sqrt(13) + 201736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 1965*s**2 - 59710*s - 111600.\nAnswer: -5*(s + 2)*(s + 31)*(s + 360)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-235)\/2350)\/((-12)\/(-8))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1. Let u(k) = k**3 + 8*k**2 + 4*k + 13. Let t(q) = -4*m(q) - u(q). Let x be t(-8). Suppose 4 = -y + l, -4*y - x + 39 = 4*l. Solve -z - y = 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -334488 - -334485. Let h = -1 - -0.9. Let b = -0.6 - h. Put z, 1\/2, b in descending order.\nAnswer: 1\/2, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 539, 886, 1233?\nAnswer: 1580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1203010 - -1024?\nAnswer: -1201431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000324 rounded to five dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 7*i**2 + 2*i + 12. Let p be m(-7). What is the tens digit of (70\/15)\/(p\/(-39))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 91 = 3*i, i + 2*a - 22 = 6. Find m, given that i*m**2 + 24 + 120*m**4 + 24*m**4 + 252*m**2 + 132*m + 291*m**3 + 27*m**5 = 0.\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 9*d - 1. Let s(k) = 10*k - 1. Suppose -2326 = 50*y - 2076. Calculate y*s(p) + 6*t(p).\nAnswer: 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5, 3, -15, -61, -147?\n\"Answer: -2*j**3 + 4*j**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 4\/9 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from eeueeeu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71 + 973*h + 238*h**4 + 71 - 2*h**2 + 2043*h - 792*h**4 wrt h.\nAnswer: -6648*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14104 and 2408?\nAnswer: 98728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28\/(3 - 1) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1651, 3254, 4855, 6454, 8051, 9646?\n\"Answer: -w**2 + 1606*w + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -1407?\nAnswer: -1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 585*x**2 - 165*x - 1302. What are the prime factors of c(-8)?\nAnswer: 2, 3, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -333*x - 11. Let w(q) = -222*q - 7. Let c(n) = 5*j(n) - 8*w(n). Is c(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 4*x + 25, 0 = 24*x - 20*x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/(-75))\/((-26)\/(-325))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64976*z**3 + 363540*z**2.\nAnswer: -389856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -763.8 - -759.8. Which is the fifth smallest value? (a) 0.4 (b) 2 (c) -5 (d) i (e) 0.421\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44\/5844019 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 - 2)*(-b**2 - b**5 + b**2 + (b**3 - 3*b**3 + 3*b**3)*(-3*b**2 + 4*b**2 + b**2) + 3*b**2 - 2*b**5 - 3*b**2 + 154*b - 155*b + 413*b**5 + 67*b**5).\nAnswer: -4311*b**5 + 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8627*f = 8259*f - 19872 for f.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4093?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 7077727\nAnswer: 3538863.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p - 77. What is q(-7)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1*24\/63)\/((-6)\/9)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -158.9 + 159. Which is the nearest to p? (a) 4 (b) 0.14 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 171711693\/245 - 3502917\/5. Let v = 309341\/294 + y. Let r = 1330 - v. Calculate the common denominator of r and 49\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207118300 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*r**2 + 11*r**2 - 8*r**2 in the form o*r**2 + c*r + p and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*g + 496, 2*g - 4*w = 70 + 258. What is the units digit of (2\/3)\/(16\/g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104 by -26.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-20))\/(6660\/(-9250))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7673.\nAnswer: 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000011110 (base 2) to base 10.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50483104 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s + 52. Give i(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1403 = 5*a, i + 4*a = 5*i - 1860. Calculate the remainder when i is divided by 35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 16 = 3*r, 2*u + u + 3*r = 0. Let x(f) be the first derivative of -14\/3*f**3 - 3*f**4 + 2*f + u + 0*f**2. What is n in x(n) = 0?\nAnswer: -1, -1\/2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18775301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(14)\/(sqrt(2) + (sqrt(2) - -2*sqrt(2)) - sqrt(2)) + 4*(sqrt(7) + sqrt(7)*2)))**2.\nAnswer: 38332\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**3 + 27*w**2 - 10*w + 5. Let l be a(7). Let p = -233 + l. Let i = 0.5 - -4.5. What is the closest to 2 in i, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 1. Let h(l) = -l - 2. Calculate -4*h(t) + 5*m(t).\nAnswer: -t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00100691401 rounded to six decimal places?\nAnswer: 0.001007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 - 129*(-56)\/24*3. Calculate the highest common divisor of m and 1170.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-1)*m))**(1\/39))**13 assuming m is positive.\nAnswer: m**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 9*a**2 + 8*a + 4. Let r be w(8). Let q be 2\/(-5) + (-15)\/(-25). Find y such that -q*y**r - 1\/5*y**2 + 0*y + 0 + 2\/5*y**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u - u + 0*u + (0*u + 0*u - 2*u)*(-1 + 3 - 1) + 4 - u - 4 + (7 + 3 - 2)*(-3*u - u + u).\nAnswer: -29*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 - 25 = -11*i - 31 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 14*i**3 - 12*i**2 - 12*i - 12. Let u(c) = -c**3 + c**2 + c + 1. Calculate 5*n(j) + 60*u(j).\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -38. Calculate the remainder when 2\/15 + 12166\/330 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2388 - 1144. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 1, 15\/4, -1\/12 in ascending order.\nAnswer: -1\/12, 2\/17, 1, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1472 + 1476. Put z, 1595, -3 in increasing order.\nAnswer: -3, z, 1595","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27926109131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 17*t**3 - 10*t**2 + 5*t - 336. Let p(l) = -9*l**3 + 6*l**2 - 3*l + 167. What is 5*p(k) + 3*v(k)?\nAnswer: 6*k**3 - 173","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -333.626\nAnswer: -20.01756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**3 + 5438*p**2 + 104084*p - 109520 = 0.\nAnswer: -20, 1, 2738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f**3 - 5*f**2 - 2*f + 11. Calculate y(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2106702?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 3\/4, 2716930, 2\/21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 - 123*g - 49*g.\nAnswer: -172*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u + 53. Let f be i(-27). Is 32 a factor of (-96)\/(f*(4\/8 + 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*g**3 + 79*g**3 + 54*g**3 - 7 - 27*g**2 + 7 to the form c*g + w*g**2 + r*g**3 + h and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*i + 4*f + 4, 49 = 4*i - 5*f. Suppose 180 - i = 4*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 + -18. Suppose -9 = 3*z, x - 6*x + 4*z + 162 = 0. What is the greatest common factor of r and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42552 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1261864 and 6309320?\nAnswer: 6309320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -6. What is the remainder when (6\/18)\/(t\/(-138)) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -317 - -333. Suppose 0 = f - 2*f. Suppose f = 2*j - 1 - 7. Solve 0 = -j*l + 3*q + 4, -l - 2*q = 3*l + i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/l**(2\/15))\/(l**(2\/35)\/l)*(l*l**(-10)*l)\/(l*(l**11\/l)\/l) assuming l is positive.\nAnswer: l**(-298\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 98743 divided by -5?\nAnswer: -98743\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1572483*o**2 - 3143919*o**2 + 1571966*o**2.\nAnswer: 530*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2974 is divided by 511?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, -1\/5, 0.176, -4\/9, -6.3 in decreasing order.\nAnswer: 0.176, -1\/11, -1\/5, -4\/9, -6.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 1316?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = o. Let k be (-2)\/(-39)*-3 + (-210)\/(-182). Let q be k - -3 - -1*o. Calculate the greatest common factor of 24 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one quarters of a litre in millilitres?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, u: 8}. Give prob of picking 4 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 6. Suppose 0 = -3*q - 4*j + 46, -j + 0*j = q - 14. Solve -3*o = -u + 3*u - q, 2*u = 2*o - c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -45, -0.5, -16\/7625, 0.\nAnswer: -45, -0.5, -16\/7625, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 381142008 divided by -9772872.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000031 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - sqrt(51)\/sqrt(3))*-1)**2 - (1 + sqrt(17) + -1).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*z + 86*z + 239*z)*(-5*z - 20*z - 6*z).\nAnswer: -11222*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.03 (b) -0.39 (c) 30 (d) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h**5 - 20304*h**4 + 26072*h**3 + 14508*h**2 - 26086*h + 5796 = 0 for h.\nAnswer: -1, 2\/7, 1, 1449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18736093 is divided by 105.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 1. Let v be ((-6)\/r)\/((-2)\/(-370)). Suppose -5*w - 4 + v = 0. Calculate the remainder when w is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1640\/57 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 1:24 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -40 + -40 + 23 + (16 - -6) + -2 + 1\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 42 = 2*o. Calculate the remainder when o is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/12)\/(0 - 1\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*u - 280*u = -95*u - 1889 - 529 for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*c + 430*c - 146*c - 148*c - 10*c**3.\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 29, -5, 5 in decreasing order.\nAnswer: 29, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-five sevenths of a week?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 43163, 43146, 43115, 43064, 42987?\n\"Answer: -f**3 - f**2 - 7*f + 43172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0*v**35)\/((v*v**(8\/5))\/v**(-24)))**(1\/25) assuming v is positive.\nAnswer: v**(42\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 215150 divided by 3310\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.4461 nanograms to milligrams.\nAnswer: 0.0000454461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttrstsrpr. What is prob of sequence rrtr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0531521g in nanograms?\nAnswer: 53152100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -13*c + 39. Let f be n(4). Let s(i) = 19*i**2 + 2. Let q(w) = -9*w**2 - 1. Determine f*q(a) - 6*s(a).\nAnswer: 3*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) - 2*(sqrt(288) + 1).\nAnswer: -12*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 11009152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + y**2 - y. Let p be i(1). Let t(j) = 2*j - 4 - j**2 - 3*j - 2*j**2. Let a(k) = -5*k**2 - 2*k - 9. Let l(x) = -4*a(x) + 9*t(x). What is l(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32818 - -71771. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -3*g. Let j be (-1 - 0) + 2*g. Solve 2*u = -2*d - 16, 0 = 2*d + j*u + 33 - 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f + 2*v = 21*f + 2014, -3*v = -9. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 5 = 5*f. Let d = 10 + 4. What is the remainder when d + 1 - (-9)\/f is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/6*2\/15*-3. Let p be -3 + (-3)\/((-3)\/95). Let a = p - 643\/7. What is the closest to y in 0, a, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1785 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -560 + 562. Solve -3*x - 7*m + 2*m - 25 = 0, -20 = v*x + 4*m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 5:08 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 88. Find z, given that z + 2*z**3 + 11*z - q*z**2 + 73*z**2 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, j: 2, u: 9, g: 1, r: 3, m: 2}. Give prob of sequence jgj.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -742?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3)*(-6)\/(-4). Which is smaller: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 14 = 5*k, 0 = -5*k + 2*k + 2*h - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 912 divided by 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 322297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1427, 1430, 1441, 1466, 1511?\nAnswer: 1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-9)*c)\/c**(-2\/11))\/((c*((c**(-1\/5)\/c)\/c)\/c)\/c*(c**0\/c)\/c))**(3\/10) assuming c is positive.\nAnswer: c**(-216\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**4 + q**4 + 5*q**4)*(5 + 1 - 3 + 136*q - 3).\nAnswer: 272*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 27*j**2 - 5*j - 538. Calculate s(26).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 10*w**2 + 3*w - 15. Let h(v) = -v + 2. Let k(j) = -c(j) - 6*h(j). Let x(g) = -g - 1. Give k(n) + 3*x(n).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -1\/2*i**2 + 1\/24*i**3 - 21 + 2*i. Factor u(y).\nAnswer: (y - 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2152 + -1383. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1598.4 + -1629.4. Which is smaller: q or -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470*j + 1361*j + 28816 = 30*j for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136 divided by 284?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 90.26016 centimeters?\nAnswer: 0.9026016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261088030?\nAnswer: 2, 5, 7, 101, 36929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 4 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 12 = v, 2*v = -5*y - 36 + 10. Let b(x) = -x**2 - 9*x + 10. Let u be b(v). Let z = -17 + u. Calculate the greatest common divisor of z and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 416 and 546.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-166)\/(-195))\/((-10)\/(-30)). Let l be 1 - 0 - 14\/(-10). Let y = l - g. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 e when three letters picked without replacement from {e: 16, k: 4}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8838.\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - a**2 - a + 1. Let j(y) = 2*y**2 + 182*y - 406*y + 226*y + y**3 + 3. What is -j(m) - 2*x(m)?\nAnswer: -3*m**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 1)*-3 + -5. Let y = -17.6 - -19.2. Which is smaller: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z + 7. Let v(w) = 5*w + 15. Let h be (-5)\/350*-21*30. What is h*l(s) - 4*v(s)?\nAnswer: 7*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -38*k - 943. Give x(-25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 3.8\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1aa9ba (base 13) to base 5\nAnswer: 133234142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13, 96, 293, 652, 1221, 2048, 3181, 4668?\n\"Answer: 8*r**3 + 9*r**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 23*x - 9. Let k be v(8). Suppose t = 3*w - 47, -3*t - k = t + w. Let a = -2 - t. What is the greatest common divisor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(1539) + 3 - sqrt(171)\/sqrt(729)) + -2 + ((sqrt(76) + 4 + sqrt(76) + sqrt(76))*1 + sqrt(76))**2.\nAnswer: 665*sqrt(19)\/9 + 1233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 8*u + 1. Let c(g) = 7*g + 1. Let r(t) = 6*c(t) - 5*l(t). Let n be ((-6)\/4)\/((-1)\/(-2)). What is r(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 1:40 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (16 + -8 - 25) - -22) + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 102*p - 126. Let r = -4 - -4. Suppose r = -3*w - 2*v - 1, 0 = -2*w + p*v - 4. What is the closest to 0.1 in 5, 0.03, w?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3445005877?\nAnswer: 103, 33446659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1651427837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 - 7*f**2 + 3*f + 8. Let s = -205 - -208. Let q be i(s). Put 1, -4, -5, q in decreasing order.\nAnswer: q, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13230935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s + 7*s + s - 9*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34038815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -223 + 218 - 13*y - 2*y - 5*y**2. Let a be z(-4). What is the remainder when (-3)\/(-9) - -26*a\/(-30) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127\/138 + 44\/23. Find the common denominator of 97\/32 and z.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -17. Suppose 0*o = 3*o - j. What is the second derivative of r**o + 5*r - 2*r**5 - 3*r wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 1:28 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/75 of a hour?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2 + 20*q + 12. Let a be i(7). Suppose 4*b = a*p + 846, -5*b + 0*p = 3*p - 1039. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -236.\nAnswer: 3\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 less than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38971 and 0.021?\nAnswer: -818.391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1291 + 1297. Solve 2*k + 2 = r*k + g, -2*k - 10 = -5*g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 + -728\/9. Let k = -137 - -139. What is the second smallest value in y, k, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*c - 5862, 4*c + 1009 = y - 1946. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 2428.\nAnswer: 3\/2428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005056345193 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36.12 - -18.12. Sort w, 5, -2\/3 in decreasing order.\nAnswer: 5, -2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 53*x**2 + 102*x + 37. What is the remainder when b(-55) is divided by 54?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: What is fourty-five halves of a century in months?\nAnswer: 27000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 1:07 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1624540 to the nearest integer?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) 1.1 (c) 1\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + -13 + -38 + 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26028 and 540.\nAnswer: 130140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -111, -2\/7, 0.24, 4, 8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.0987 and 0.1.\nAnswer: 3.1987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 318.2 - 318. Which is the second biggest value? (a) i (b) -0.2 (c) -3\/8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*9.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.12?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1012 + 2011?\nAnswer: 3023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3318 + -2617. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 10*x**2 - 8*x**2 - 9*x**2 + 5 in the form a*x**2 + b + k*x and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 469 + -466. Factor 60*t - 9 - 57*t - t**3 - 3*t**3 + t**a + 9*t**2.\nAnswer: -3*(t - 3)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 30, 5, -41, 7, 21 in ascending order.\nAnswer: -41, -3, 1, 5, 7, 21, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 + 0.06. Let l = q - -0.13. Which is the nearest to -2\/7? (a) l (b) -2\/13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08912 + 0.14912. Sort -1, r, -1\/6 in descending order.\nAnswer: r, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4566*f**2*u**3 - f**2*u + 8*f**2 - 148*f + u**2 wrt u.\nAnswer: 27396*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -627 - -627. Solve 7*o + 29 - 8 = t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 8 = -2*o. Let s = o - -6. Let v(w) be the first derivative of -w**2 + 2*w - 534. Calculate v(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**8*v**(-7\/4))**(-1\/11) assuming v is positive.\nAnswer: v**(-29\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56883, 455046, 1535771, 3640338, 7110027, 12286118, 19509891?\nAnswer: 29122626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**3\/3 + 19*z**2\/2 + 53*z - 249. Determine j(22).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 263368435*t**2 - 77945524*t wrt t?\nAnswer: 526736870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3208153460?\nAnswer: 2, 5, 43, 71, 52541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 49*r**2 - 13*r - 6. Let c be m(3). Let i be 1*(-3 + 0)*c\/(-54). Solve -2*u + 6*w = w + 5, -4*u = 2*w + i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3 = 2, 5*d + 5 = 2*t. Suppose -5*v - 13 = -2*s, 5*v + t = -5. Suppose s*r = 2*r + 18. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 6:04 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p - 52. Let u = p - -8. Let h(g) = g**3 + 4*g**2 - 4*g + 4. Give h(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 943209*p + 2829621. What is n(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39943 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -5*r + 1. Let w = r - -11. Is (1\/(-2))\/(w\/100) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*w - w. Let o(i) = 2*i + 5. Let a be o(w). Let l = -8984 + 9117. What is the highest common divisor of a and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13755, -55366, -124723, -221826, -346675, -499270?\nAnswer: -679611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 3:47 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 8 = -o. Let n be ((-3)\/2)\/(15\/o). What is the tens digit of (n - 3)\/(1\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/22)*u*u**(-9)*u*(u\/(u*u**(4\/9)\/u*u))\/u*u*u\/u**(-1))**6 assuming u is positive.\nAnswer: u**(-1087\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.0872502\nAnswer: 0.02617506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2864\/3 - 12408\/13. What is the second smallest value in 0, 3, -1, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153253758.\nAnswer: 2, 3, 7, 3648899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 29 - 67. Factor t**2 + 0*t - 24*t + 2*t**2 + a.\nAnswer: 3*(t - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 33. Calculate x(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 19198 * 547.7\nAnswer: 10514744.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**3 - 177474*i**2 - 532429*i - 354954 = 0.\nAnswer: -2, -1, 177477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(72\/(-10))*(-6)\/20\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 19. Let v(h) = h - 15. Let y be v(-6). Let a = -20 - y. Sort 0, a, q, -5 in increasing order.\nAnswer: -5, 0, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-80 + 80 + 16*s)*(-2 - 2 + 2) to r*s + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001010111 - -1000001110?\nAnswer: -11001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.153 - -75.847. Let k = -76.49 + s. Round k to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 17651*r - 988448. Determine b(56).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 3*i + 5. Let l be r(4). Let q(y) = -4*y**2 - 40*y + 39. Let g be q(1). Put 3, l, g in decreasing order.\nAnswer: 3, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*w + 40 = -w, 5*w + 120 = 5*r. Suppose 2*d - 4*a - r = 0, 3*a = -3*d + 14 + 16. Solve n - 5*h = -4*n + 10, -2*h - d = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3082*v + 0*v**4 + 2 - v**4 + 3082*v + 125*v**3 to the form f*v**4 + a*v + i*v**3 + k + j*v**2 and give i.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 842420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 106220036 to the power of 1\/3, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**5\/30 + h**4\/2 - 8*h**3\/3 - 20*h**2. What is i in q(i) = 0?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3578*b + 3580*b - 102*b**2 + 9*b**2.\nAnswer: -93*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1344 by 15.\nAnswer: 448\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 8 = s. Suppose s = 4*h - 2*h. Suppose n - 2*c - 43004 = 0, -h*n + 7*n - 215002 = c. Round n to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 41636357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11082420, 11082419, 11082418, 11082417, 11082416, 11082415?\nAnswer: 11082414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v + 10*v - v.\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 609 - 133)*(-4*t + 0*t + 3*t + (4 - 5 - 1)*(1 - 2*t - 1) - 3*t + 5*t - 3*t - t - 2*t + 5*t).\nAnswer: 1896*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 5 - (7 + -10 + -27)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 19740.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49.1833 - 52.38467. Let y = -3.2 - d. Round y to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + v = -6880. What are the prime factors of v?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**4 - 3 + 10*u + 1 + 3*u**3 - 4*u**3 as k*u + s*u**2 + f*u**3 + p*u**4 + t and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/2*(-6)\/9. Let j = -39 - -149\/4. Find the common denominator of 228\/64*x\/3 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70359.72 rounded to the nearest 100?\nAnswer: -70400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 + 3422*g**2 + 2587*g + 1432948. Give y(1712).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*h**3 + 184*h**3 + 195*h**3 - 510*h**3.\nAnswer: 63*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 - 98*s - 20 + 98*s + 30 in the form u*s + r*s**2 + f and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 61607 take away -406794?\nAnswer: 468401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.536?\nAnswer: 0.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, e: 1, t: 1, g: 1, u: 1, s: 1}. Give prob of sequence sb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 80*m - 42*m - 25*m - 2 in the form g + c*m and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (23\/69)\/((-2)\/(-36)). Let l be 42\/4*220\/s. Suppose 0*b - l = -5*b. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -6. What is the tens digit of o\/((-3)\/20) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - f - 21 = 0. Let g(y) = -5*y + 15*y**2 + f*y + 7*y. Let n(c) = -7*c**2 - 4*c. Suppose 5426*x + 2328*x = 69786. Give x*n(b) + 4*g(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-453)\/21)\/(-1 - (-4)\/3). Let y = -65 - n. What is the closest to 0 in y, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.08 + -0.08. Let j = 2.4 + -0.4. Let k = j - o. What is the smallest value in k, -5, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30*(-126)\/135*(-20)\/(-42)\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 0 = 4*i + x, 4*x + 6 = 5*i. Let a be (-2)\/i + 0 + 3. What is the third derivative of c - c - 4*c**4 + 0*c**4 + 3*c**a wrt c?\nAnswer: -96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -376*t**3 + 2. What is the tens digit of p(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(12)*-1))**2*-4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18949\/1872 - -7\/624. Suppose 0*m = 4*m - 40. Let j = m + a. Is j bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72061 and 5401?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Let y(c) = -c**2 - 25*c + 4. Let t be y(-25). Solve t*z = -g - 15, 3*z + 2 = 2*g - j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 0. Let i be 154\/d - (-1)\/3. Let t(k) = k**3 + 5*k - 2. Let z be t(2). Solve -4*m = 3*s + i, -m = 2*s - 5*m - z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/2208787?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11509 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**3 + 109*l**2\/4 + 79*l\/2 + 33\/4 = 0.\nAnswer: -3, -11\/5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 8*y + 3. What is the units digit of s(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4028 + 116733 = 2247*o - 139279 - 10915 for o.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**5 + 390*n**4 - 72*n**3 - 254387*n**2 + 2*n?\nAnswer: -60*n**2 + 9360*n - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2869\/(-20083))\/((-3)\/189).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from indtidivvndtidikd. What is prob of picking 2 n and 1 v?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.5 - 1.5. Let u = i - 0.2. Round u to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 111?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23952697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 - -66. Suppose 4*n - y*g - 1 = -0*n, -n = -2*g - 4. Let j be -2 + (4 - (-3)\/n*-2). Solve -j + 2 = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y + 3 - 3)*(43 - 8*y**2 + 55 + 6*y**2) to the form x*y**3 + t + q*y + k*y**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/5 - 3938*y + 434148\/5.\nAnswer: -2*(y - 22)*(y + 9867)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8))**(-3) assuming k is positive.\nAnswer: k**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000088305142 rounded to 7 dps?\nAnswer: -0.0000883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17357875 by -5.\nAnswer: 3471575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15519*n - 15519*n - 1 + 11*n**2 + (1 - n**2 - 1)*(4 - 2 - 3).\nAnswer: 12*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from {i: 1, t: 1, w: 6, k: 1, q: 2, x: 5}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 48\/5 + 2\/5*r**4 - 2*r**3 - 4*r**2 + 8*r = 0.\nAnswer: -2, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 11515?\nAnswer: 11494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1051 + 1017.7. What is h rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2. Let v(h) = -400 - h - 118 + 56 + 71 - 200. Determine i(v(c)).\nAnswer: 3*c**2 + 3546*c + 1047843","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*o = -2921 - 750, 3*o - 6097 = 5*c. Are c and -0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(2057) + 2 + 1 + sqrt(17) + 0 + (sqrt(34)*-2)\/sqrt(2)).\nAnswer: 4 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 797*i**2. Let d(q) = -2*q**2 - 4*q**2 - 3628*q + 3628*q + 5*q**2. What is u(d(m))?\nAnswer: 797*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 464 + -481. Let y be -1*(g\/(-6))\/17. Let h = -10 + 14. Which is the third biggest value? (a) y (b) h (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 764517.6 millilitres to litres.\nAnswer: 764.5176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q + q - 72*q**3 + q - 8*q as b*q**2 + g*q + c*q**3 + r and give c.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = z. Let s = 168 + -164. Suppose -r + 277 - 47 = 5*x, 952 = z*r + s*x. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**3 + 17*z**3 - 5*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j - 75. Let g be d(-26). Let m be (g + 8\/4*-3)\/(-7). Factor 3\/7*z**3 + m*z**2 - 3\/7*z - 3\/7.\nAnswer: 3*(z - 1)*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-10))\/(5\/(-25)). Suppose -x*i = -i. Let s(g) = 0*g + 0*g - 2 + 2*g + i. Give s(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -h - 2, -2 = -5*y + h - 0. Suppose y = -4*q + 6*q. Solve -2*v + 3 + 3 = q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s - 3. Let i be w(1). Suppose d - 59 = -4*f, -d - d + 5*f + 157 = i. What is the units digit of 8\/24 + d\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = p + 11*a - 9, -3*p = 5*a - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x + 4. Let k(c) = -c - 1. Let o(n) = -i(n) - 4*k(n). Let m = -4 + 4. Let l(f) = 2*f + 0 + m. Determine l(o(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*t + 29 = 5*j - 43*t, -3*j + 3*t + 21 = 0. Solve -x = j*w - 10, -3*w - 2*x - 3*x = -6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8988*i**3 + 17987*i**3 - 8993*i**3 - 68*i**2 + 68*i**2.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 13*f**2 - 28*f - 12. What are the prime factors of j(-11)?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16842?\nAnswer: 2, 3, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -552, -544, -536, -528, -520, -512?\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, b: 4, x: 2}. Give prob of sequence mb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 621864527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4815, 9905, 14995, 20085, 25175?\n\"Answer: 5090*k - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 v when two letters picked without replacement from vovw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 274, 0, -24, -34 in decreasing order.\nAnswer: 274, 0, -24, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 9. Let q be r(-7). Suppose -h + 48 = q*h. Let n(f) = -f**2 + 6*f. Let l be n(5). Solve j + h = -j + l*m, -2*j - 12 = -4*m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 65\/4*z**3 + 1\/4*z**4 - 2662 + 693\/2*z**2 + 2299*z = 0. What is z?\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 11, -4, 5 in increasing order.\nAnswer: -4, -2, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + o**2 - o - 3. Suppose -5*r - 2*t + 12 = 0, -4*t + 7 = 3*r - 3. Is 2 a factor of k(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14393192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 21*b. Determine y(16).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2993300 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 5. Let b(o) = 3*o - 8. Let h(u) = 5*b(u) - 8*q(u). Let s(r) = -5*r**2. Determine s(h(d)).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*i + 305*i + 13172 = 4514 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 14*h - 22. Let a be j(12). Suppose l - 3*v = a*v + 30, -3*v = 12. Let p = -4 + 10. Calculate the remainder when l is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -0.7. Let x = 942.5 + -942. Which is the closest to 0? (a) 6 (b) w (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(70) + (sqrt(70) - (3*sqrt(70) + sqrt(70))*2) + sqrt(70)))\/(sqrt(120)\/(sqrt(12)*-2) - (sqrt(120)\/sqrt(2))\/sqrt(6)).\nAnswer: -50*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (6 - (7 - 10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 480035, 480038, 480017, 479972, 479903?\nAnswer: 479810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1826*j**2 + 3*j. Suppose -4 = 4*x, -2*l - 5*x = -0*x + 3. Is v(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (10 + 26 - 26)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -5. Is d less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*i + 50 = -0*i, -2*u + 18 = 4*i. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -25. What is the remainder when (-894)\/(-14) + 24\/21 is divided by (-8)\/a*17\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 75*m + 10468. Give d(-132).\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 9*j**3 + 5*j**2 + 28*j - 101. Calculate the remainder when q(4) is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/((-28)\/944) + -4. Let m = g - 220. Solve 4*p = -m + 16 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2190 divided by 6\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322821?\nAnswer: 3, 35869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 10*k**2 + 10*k - 13. Let s be j(-11). Let d be ((-5 - s) + -1 - -2) + 5. Suppose d*m = 5*m - 14. Is m != 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22.95 and -1057.\nAnswer: -1034.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -12100?\nAnswer: 12021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-27)*z\/((z*z\/z**(-16))\/z))\/((z\/(z*z*z**14)*z)\/z)**(-4\/13) assuming z is positive.\nAnswer: z**(96\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + 4*(-3*(-1 + sqrt(931) - sqrt(931)))**2 + -5)*3.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 85 + -8*(-4)\/(-8). Suppose u = -5*d - 129. Let z = d + 61. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1805, 3609, 5407, 7205, 9009?\nAnswer: 10825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 9:46 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 754*q. Let f(s) = 4*s**2. Determine a(f(l)).\nAnswer: 3016*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*n - 12 = 0, n - 5*n - 4 = 0. Let b(a) = -a + 1. Let i be b(-3). Suppose 9*p = i*p + 85. Solve -3*d = -p + v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 10 = 0, -3*q + 0*q + 4*l - 14 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(38)*-2)\/sqrt(2) + sqrt(171) + -5 + (2*sqrt(1900))**2 + (2*sqrt(2299))**2).\nAnswer: -16791 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -12*t**3 - 50*t**2 - 186*t + 89. Let f(a) = -2*a**3 - 8*a**2 - 30*a + 15. Give 25*f(y) - 4*p(y).\nAnswer: -2*y**3 - 6*y + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 12*c**2 + 12*c + 11. Let y be l(-11). Suppose 5*x + 5*s = 75, -2*s + 5*s = 15. Let d = x + y. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 0)*(0*r - r + 2*r) - 2*r - 3*r + 2*r)*(0*r - 3*r + 4*r) - r**2 - 3 + 3.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 49.59. Let o = -0.638 - a. Let v = o + -0.752. What is the nearest to 1 in v, -1\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 33762.\nAnswer: -1\/11254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/238)\/(15\/8610)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 54*v**2 + 324*v + 648.\nAnswer: 3*(v + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + s - 5 = -49, -10310860*f - 5*s = -10310857*f - 32 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 264241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 569.6 to the nearest 10.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15589000 by -131000.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(15)\/(sqrt(35)\/sqrt(7))*-1)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 - 41 - 34 - (11 - -4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f. Let c be (-3)\/(-3 - f)*10. What is the derivative of -7*o + 19 + 2 - c wrt o?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -664273 divided by -6\nAnswer: 664273\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -2. Let v = 5 - p. Suppose 0 = -v*f + 2 + 10. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 11 = 3*p + 27, -p - 46 = -29*w - 2*p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -87 - t + 435 - 84 - 75 - 129. Let v(o) = -25*o**2. What is v(a(j))?\nAnswer: -25*j**2 + 3000*j - 90000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/14, -2, 2 in increasing order.\nAnswer: -2, 1\/14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, l: 1, e: 1, f: 1, q: 1}. What is prob of sequence lv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15664014 - -102?\nAnswer: -15663712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(16\/11)\/(x\/x**(2\/3)*x*(x\/(x\/(x**(-4)\/x)))\/x)*(x\/((((x*x**0\/x)\/x)\/x)\/x)*x**(-3)\/x)\/((x*x\/x**(2\/11))\/(x*x\/x**2*x)) assuming x is positive.\nAnswer: x**(127\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06099854 + -0.061. What is x rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*z**4 + z**2 + 1605522*z - 34160876?\nAnswer: 28*z**3 + 2*z + 1605522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 1 = -3, 0 = -2*f + 4*z + 940. Suppose -4*j + 8 = 0, s - f = -2*j - 0*j. Let d = s - 229. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 + 2*l**3 + l**4 - 2*l**4 - l**4 - 3*l**4 - 4 + 4 - 2*l**4 + l**2 + 2*l**4 - l**2 + (5 + 1 - 3)*(0*l**4 - 4*l**4 + 6*l**4) - 2*l**4 - l + l.\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.14688 days in hours?\nAnswer: 747.52512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiiiyyiiiiyiiyiiiy. Give prob of picking 3 y and 1 i.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/3 + 6*n**2 + 10*n - 50\/3.\nAnswer: 2*(n - 1)*(n + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12033 and 2815531.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 4*b = 24, -34*r + 2 = -33*r - 2*b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 10.095363 months?\nAnswer: 0.84128025","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2359373\/11 or 214488?\nAnswer: 214488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -361*r**5 - r**2 + 263*r?\nAnswer: -21660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419 = 18*l + 473 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1543339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 38 - (-7 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -9*r**2. Let i(l) = -41*l**2 + l - 190. Determine 5*b(u) - i(u).\nAnswer: -4*u**2 - u + 190","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = 3*v - 1191. Suppose -111*q + v = -107*q. What are the prime factors of q?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -118 in 1\/7, -5, 0.5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18596093 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*z = 40*z + 784 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x + 8. Let r be (53\/106)\/(2\/48) - 6. What is l(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 179080 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**5\/10 - r**4\/6 - r**3\/2 - 3*r**2\/2 - r. Let y(v) = -3*v**3 - 4*v**2 - 5*v - 5. What is -5*w(n) + 3*y(n)?\nAnswer: n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 35*z**4 + 95*z**3 - 240*z**2 - 220*z + 80 = 0.\nAnswer: -4, -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 5*c + 37, -5*z + 3*c + 29 = -6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 5*i + 4*c - 9, c - 4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*y**3 - y**3 + 3 - 3 - 3*y**3 + 3*y**3 - 3*y**3 + (y - 4 + 4)*(569*y - 67*y**2 - 569*y) + 2 - 3 + y**3 + 2.\nAnswer: -72*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-18\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -548 (c) -104 (d) -0.2 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -6*r**4 + 3524*r**3 - 328968*r**2 - 897680*r - 451200 = 0.\nAnswer: -2, -2\/3, 120, 470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b**(-9)\/b*b))*b**10*b*(b**6\/b)**(-35))**27 assuming b is positive.\nAnswer: b**(-4644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -5. Put y, 18, -1 in descending order.\nAnswer: 18, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5852*t - 1094306. Determine p(-187).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -0*q - 8. What is the second derivative of 4*s**5 - 5*s - s**5 + q*s wrt s?\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.69, -0.5, 17 in decreasing order.\nAnswer: 17, 0.69, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 8 = 20. Let v(b) be the first derivative of b**2\/2 + 9*b + 6. Let l be v(-9). Solve l = c - o + 4*o, -f*c = -3*o + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125582219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*i + 14806.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -88, -5, -11, -3, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 11*b**2 - 10*b + 9. Let z be y(-10). Let l be (-3)\/(4\/((-48)\/z)). Solve 2*t + t = 4*i + 25, -i - l = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 5*q = 0. Solve 0 = -w + 2*b + 3, -3*w - 3*b + 11 - 38 = q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6783\/(-304)*(-4)\/27 and 19\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - j + 10. Sort -3, j, -2 in descending order.\nAnswer: j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110793546.9 rounded to the nearest ten thousand?\nAnswer: 110790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 14 = 1. Solve p*d = -q + 16 - 5, 3*q + 2 = -2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/102 and 23\/216?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**4 + 2*i**4 + 3*i**4)*(16*i + 34*i - 79*i + (i + i + 0*i)*(1 + 3 - 2)).\nAnswer: -25*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 803635\/26 or 30908?\nAnswer: 803635\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 136*d + 24617. What is p(-181)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2654944*p**4 - 1009864*p.\nAnswer: 31859328*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 13) to base 4\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-8))\/(4 - (-81)\/(-24)). What is the second biggest value in o, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n**3 - 2 + 3*n**2 + n**2 + 2 in the form w + d*n**2 + m*n + u*n**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2847413*-49\nAnswer: 139523237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 9152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 6*k - 6. Suppose -q - 10 = -3*q. Let o(b) = b**2 + 7*b - 5. Let w(j) = q*u(j) - 6*o(j). Solve w(y) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 133*b**2 + 193*b - 9052. Calculate h(-131).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -984741.8 - 4?\nAnswer: -984745.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 64*v - 441. Let r be j(8). Which is the third smallest value? (a) -3 (b) r (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -389 + 417. Let x = -0.248 + 28.348. Let g = x - b. Sort g, 34\/3, -2\/9 in descending order.\nAnswer: 34\/3, g, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.08 and -4.72061420393?\nAnswer: 4.80061420393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-72)\/(-15))\/6*5. Let x(b) = -o*b + 5 + 2 - 5 - 3. Let k(p) = -5*p - 1. What is 3*k(v) - 4*x(v)?\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -21 (c) 3 (d) -0.8 (e) 4\/9 (f) -0.072\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {k: 3, i: 1, o: 2, p: 1, f: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -18*h. Let d(m) = -26888107*m**2. Determine w(d(o)).\nAnswer: 483985926*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 8158.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -166053 divided by 55351?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - -8. Let s be ((-45)\/(-18))\/((-2)\/p). Is s < -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 8957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 6*n + 9 + 5*n)*(0*n**2 + 4*n**2 - n**2) + 0*n**3 - 3*n**3 + 2*n**3 + (-2*n - n + 2*n)*(-4*n**2 - n**2 + 7*n**2).\nAnswer: -15*n**3 + 27*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p = 10*p + 2*p + 4*u - 160, -3*u = -55*p + 2628 for p.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/175 (b) 13\/5 (c) 33654\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-3 + 16)) + 11 - (-3 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 68*j**2 - 508?\nAnswer: 136*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l - 1. Let y(m) = -2*m. Let a(b) = -6*t(b) - 14*y(b). Differentiate a(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 - 21909*s\/4 - 21905.\nAnswer: -(s + 4)*(s + 21905)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -108839 = -108840?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2832073*p. Let m(k) = 31*k**2. Give m(a(y)).\nAnswer: 248639761797199*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.7 - -2.3. Let s = n + -17.1. Which is the second smallest value? (a) -5 (b) s (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -266762156 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, s: 3, d: 1, h: 4, t: 5, i: 3}. Give prob of sequence tshd.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -203411\/22 - -9251. Let o = -435\/16 + 119\/4. What is the common denominator of o and j?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -4. Let l = 1 - y. Let n(j) = -j**3 + 16*j**2 - 15*j - 2. Let f be n(15). What is the second biggest value in -5, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 49. What is the nearest to -1 in -4, 3\/7, q?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44.5 - 44. What is the second smallest value in p, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 116 in -1\/5, -0.6, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = v - 23*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2720284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267629 is divided by 89208.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(2\/5)\/l))**40*l*(l*l*(l\/(l*l**(-1\/3)\/l))\/l)\/l*l*l**(1\/15)*l*l assuming l is positive.\nAnswer: l**(347\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - v + 6*v - 9, -4*m + 2*v + 2 = 0. Let u(z) = z**3 - 3*z**3 + 3*z + 1 - z - 4*z**3 + z**m. Let f be u(-1). Do 6 and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q**(1\/2))\/q)*q)**(-3\/32)\/(q**(-3\/7)*q\/q**(-2\/15)))\/((q**7\/q)\/(q\/q**(-1\/4)))**(-27) assuming q is positive.\nAnswer: q**(856159\/6720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123705*s*w*y**4 + 2*s*w*y**2 + 2*s*w*y - 90*s*w - 3*s*y**5 - 2*s*y**2 + 2*s + 4*w*y wrt y?\nAnswer: -2968920*s*w*y - 180*s*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1622, 0, 2 in increasing order.\nAnswer: -1622, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3734163*w**3 - w**2 - 3393847*w wrt w.\nAnswer: 22404978*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2. Let a(t) = 729601651*t**2. What is c(a(k))?\nAnswer: 532318569141925801*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4716062 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92 + 222. Calculate the greatest common factor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -938 + 983. Solve -8*c + u = -23*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 351\/5, -0.4, 5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 43 = -232. Calculate the remainder when 137 is divided by (-3)\/(-5) - 1232\/u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/11119 or 0?\nAnswer: 2\/11119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 h when four letters picked without replacement from ghghgggggggggghhgggh.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by 7.\nAnswer: 47\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -2, 154, 446, 916, 1606?\nAnswer: 2558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-5 - 3) - -6) + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 5\/2*v**3 + 0*v + 6*v**2 + 1\/12*v**5 + 5\/6*v**4 + 0. Solve l(y) = 0 for y.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**4\/8 - 2*b**3\/3 - 5*b**2. Suppose -5*k = 27*r - 26*r - 20, -k + 5*r = 22. What is s(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2890, 5779, 8668, 11557?\nAnswer: 14446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 - 54. Suppose -27*g + 10*g - 646 = s. Let i = -1 + 0. What is the biggest value in i, g, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 40\/6 - 8\/12. Suppose 40*z + 3*r - 1 = 36*z, 2*z = 3*r + 5. Calculate the remainder when (9\/m)\/1*2 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 20*a**2 + 1034*a + 103. Determine f(-52).\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 + 71*c**2 - 19*c**2 + 1 + 2*c**2 to the form l*c**2 + k*c + m and give l.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.059 (b) 2 (c) -203023\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 16*w**2 - 14*w - 10. Let q be z(15). Suppose 112 = -0*b + 4*b - 2*p, -q*p - 10 = 0. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 3 - (-1 - -1 - (-46 - -47))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 926*g + 718*g + 1037*g + 165*g to o*g + x and give o.\nAnswer: 2846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6982127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 219 and 792?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/9 + 0 - 4\/(-9). Let -l*d**3 - 2\/3*d**2 + 0*d + 0 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23035, 23082, 23129, 23176, 23223?\nAnswer: 23270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 9. Let x(z) = -2*z**2 - 41*z + 8. Let u be x(-21). Let g be r(u). Suppose 6482 = -g*c + 16566. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41173 and -6.\nAnswer: -247038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -18, 1815, 3, -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -m - q, 0 = -2*m + 2*q - 0*q - 2. Suppose -5*n = -6 - m. Let r be ((-10)\/(-3))\/(n\/42). What is r rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.887 - -0.117. Let k = g + 0.47. What is the biggest value in 2\/9, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*m + 416 = -457. Let h(t) = 6*t + 40. Give h(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17\/2 + (-1)\/(-2). Let o = s + -35\/4. Let m = -2260 + 2258. Sort m, -3\/2, o.\nAnswer: m, -3\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - q**2 + 1. Let f(o) = -o**3 - o**2 + o - 8. What is -f(t) - 2*x(t)?\nAnswer: -t**3 + 3*t**2 - t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**3 + 10*b**2 - 2*b + 8. Let g be v(8). Let t = g - -1293. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 u when two letters picked without replacement from {u: 1, i: 1, y: 5, m: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22975 - -5699?\nAnswer: 28452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3256*a + 10987. What is d(-3)?\nAnswer: 1219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-6))\/((-9)\/540000). Round s to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4 = y - 3, 4*v = 2*y. Let c(f) = -f**y + 5 - 5*f + 4 - 3 + 2*f. Give c(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -1. Let f be (-2)\/9 + (-6)\/(-27). Suppose 0 = d - 2*y - 1, f*d - 3*y = -3*d. Which is smaller: d or g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87 - 1384*x + 86 + 79 - 252 to g + t*x and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(7) - sqrt(7))*-5 - (-1*(sqrt(7) + 1) - sqrt(7) - sqrt(7)))**2.\nAnswer: 36*sqrt(7) + 2269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 11:27 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-810)*40)\/(12\/10*(-35)\/(-189))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 - 90*z**2 - 89*z - 134. Determine s(46).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4 - 5 - 2*g**2 + 1 + g**3 + 3*g. Suppose -t = -0*t - 2. Give s(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 13.\nAnswer: -21\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15b4 (base 14) in base 7?\nAnswer: 14214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-957 + 1007)\/((3 - -1)*22\/(-132)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a factor of 689069056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4\/5, -1, 0 in ascending order.\nAnswer: -2, -1, -4\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9875 divided by 1?\nAnswer: -9875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8101220537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s**3*v - 67302*s**3 + s**2*v + 5*s**2 - 2*s*v - 273*s - 111*v wrt s.\nAnswer: 18*v - 403812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -43000\/2191?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n + 2*n - 9*n**3 + 0*n - 7*n wrt n.\nAnswer: -54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3422, -6844, -10264, -13682, -17098?\nAnswer: -20512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*h**3 - 284*h**3 + 2*h - 2*h.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**6\/180 + u**5\/60 + u**4\/6 - 8*u**3\/3 - 2*u**2 - 7. Let c(p) be the third derivative of a(p). Factor c(q).\nAnswer: -2*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 105, 366, 809, 1440, 2265, 3290, 4521, 5964?\n\"Answer: r**3 + 85*r**2 - r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 minus -0.088?\nAnswer: -279.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 2. Suppose -s*z = -12 - 12. Let f = 18 - z. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6056001*n**4 - 2*n**3 - 2*n**2 - 2949625*n wrt n?\nAnswer: -145344024*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 13*c = 14*w - 43084, -c - 129372 = -3*w. What are the prime factors of w?\nAnswer: 29, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1662 - 1380 = -90*r + 2088 for r.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1302, 5090, 11380, 20172, 31466, 45262, 61560?\n\"Answer: 1251*f**2 + 35*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: 9\/(-6)*32\/(-18)*(-1980)\/(-720)\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 6*g**2 + 5*g - 4. Suppose 20 = 4*x - 12. Let l(j) = 14*j - 5 - 5*j + 2 - j**2. Let w be l(x). Give h(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(304) + ((sqrt(304)*1)**2 - sqrt(304))) + 4*(2*sqrt(304))**2 - 5*(0 + (sqrt(304) + 0)**2).\nAnswer: 2432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o + 2*o - 5*o. Let y be n(-2). Let p = 105.38 - 105.68. What is the third smallest value in y, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 6 = -2*p, 0 = -3*u + u - 3*p + 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31420922*c + 101095348.\nAnswer: -31420922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2176409, -2176411, -2176413, -2176415?\n\"Answer: -2*m - 2176407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfy when three letters picked without replacement from {v: 1, f: 1, j: 4, y: 2, g: 2}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfhllyfhel. What is prob of picking 1 h and 1 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3864 - 3863.5. Let x = 0.012 + 0.398. Which is the biggest value? (a) -0.3 (b) w (c) -5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygyggeeygyxkeeg. What is prob of picking 2 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/19 + 7868*c\/19 - 414.\nAnswer: -2*(c - 3933)*(c - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10517542 by 86.\nAnswer: 122297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 13*w**3 - 13*w**2 - w + 9. Let n(j) = -4*j**3 + 4*j**2 - 3. Give -7*n(d) - 2*x(d).\nAnswer: 2*d**3 - 2*d**2 + 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4772393 is divided by 122?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 27. What is the closest to 0.1 in -2\/7, 1\/2, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2)*h**(-3\/11)\/h*h**(2\/9)\/(h*h**(-4)) assuming h is positive.\nAnswer: h**(-5\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6948505?\nAnswer: -6948505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 118071 to the power of 1\/2, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-210)\/(-56) - 1\/(-4). Put b, 2, 1 in descending order.\nAnswer: b, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -8. What is the second biggest value in -3, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -515774*g - 2187. Is p(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-32) + (-46)\/736.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39477 + 39477. Let x(a) be the second derivative of 6\/5*a**2 - 43 + m*a**3 - 1\/20*a**4 + 2*a. Factor x(c).\nAnswer: -3*(c - 2)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157 - 205. What is the hundreds digit of (-264)\/w*1\/(2\/640)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 - 3151582*o\/3 - 6303140.\nAnswer: -2*(o + 6)*(o + 1575785)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 208.5 and -0.3?\nAnswer: -62.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/50 + 1\/5. Let h be (-30)\/21 + a + 2 + -2. Put 2\/19, -3, -2\/11, h in descending order.\nAnswer: 2\/19, -2\/11, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 9:46 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 - 400 + 317*w**4 + 18*w**4 + 398 + 2*w - 2*w**2 to r + c*w**2 + g*w + t*w**4 + h*w**3 and give t.\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-29)\/87*-7311*1 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*a - 2*z + 7 = 165*a - 4*z, 2*a - 3*z = 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 480*w + 34984. What is y(-73)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2235750 and 1170?\nAnswer: 87194250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**3 + 28*a**2 - 11*a - 8. Give g(-8).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 - 0 - (59 + (-87 - -12)) - -18.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**6\/120 + 3*c**5\/20 - c**4\/4 + c**3\/6 + 12*c**2. Let n be o(8). Suppose 4*a = n + 31. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 3570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1776.5? (a) -1\/6 (b) -0.9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 45*d - 70.\nAnswer: -5*(d + 2)*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128406605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -15 + 21. Factor 0 + 0*a + 2\/3*a**m - 1\/3*a**3.\nAnswer: -a**2*(a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000898525 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -837 + 199*k - 87*k + 804 - 101*k.\nAnswer: 11*k - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 0.3 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 263.332 + -0.332. Let q = y + -263.3. Which is the nearest to -0.23? (a) -2\/13 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - -1 - (3 + -1). Let r be (16\/(-12))\/(g\/6). Find the common denominator of (-2)\/r - 340\/112 and -46\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2822*l**2 + 830*l - 4150. Let k(h) = 3*h**2 + h - 5. What is 3*d(g) - 2490*k(g)?\nAnswer: 996*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from orooooorrooorrorooo. What is prob of sequence oroo?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 712.\nAnswer: 7832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13482799 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*t + 492*t**2 - 46*t + 70*t + 91*t**2.\nAnswer: 583*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -868, -7354, -24968, -59278, -115852, -200258, -318064, -474838?\n\"Answer: -928*c**3 + 4*c**2 - 2*c + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1900) - (2*sqrt(1900))**2) + (sqrt(1900) + 0 + sqrt(1900))*-6.\nAnswer: -7595 - 110*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.5516 plus 117665?\nAnswer: 117673.5516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k + 2*k)*(1 + 1 + 0)*((3 - 4 + 0)*(-6*k + 3*k + 2*k) + (19 + 70 + 4)*(5*k + 3*k - 2*k)).\nAnswer: 1118*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2621 (base 7) to base 2\nAnswer: 1111100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 280 = -39*t - 3*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b*b**10*b)\/b)\/((b\/(b\/(b\/b**4)))\/b)*b\/(b\/(b\/(b\/b**(-17\/3))))*(b\/(b\/(b*b*b\/(b\/b**(-23)))))\/b*b)**(-15) assuming b is positive.\nAnswer: b**145","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*m**5 - 200*m**4 + 354*m**3 + 14*m**2 - 410*m + 3 wrt m.\nAnswer: -720*m**2 - 4800*m + 2124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 2:22 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 k when three letters picked without replacement from qvvkqkvkvkv?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t = 3. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 320 and 60.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k + 2. Suppose -11*i + 53 = -24. Let f(j) = 10*j + 7. Let m(n) = i*c(n) - 2*f(n). Let q(v) = -33*v. Calculate q(m(x)).\nAnswer: -33*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 10*j - 16. Let q be x(12). Let c(f) = 2*f**2 - 2*f + 13. Let i be c(q). Let t = i - 123. Solve -1 = -b + t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 31*i + 11. Is g(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 + -0.6. Let f = 1824\/11 - 166. Which is the closest to 0.2? (a) -1\/2 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1338*u**2 - 26*u + 29. Calculate the remainder when f(1) is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69095 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: Solve 4 = -2*b, -5*v + 6*v + 4 = -3*b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 39c151b + 1?\nAnswer: 39c151c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 0.2 (b) -37558 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 5*u**2 + 2*u - 2. Let h = -8 + 4. What are the prime factors of l(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**4\/8 - 7*w**3\/6 - 2*w**2. What are the prime factors of h(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 - (-590)\/(-104))\/(-18) and -19\/390.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7366372 divided by -283322?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 27120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 601 a factor of 17710869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.250942 - 43.447\nAnswer: -43.697942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -24 - 1\/12*t**3 + 1\/16*t**4 - t**2 + 3*t. Let r(s) = 0. Calculate s.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/((n\/n**(2\/21))\/n)))\/(n**17\/n) assuming n is positive.\nAnswer: n**(-338\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 56 = 4*f, 5*r + 0*f + 4*f = 69. What is the remainder when r is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4634\/(-10) + (-44)\/(-110). Let y = -236 - v. Is 62 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116762.\nAnswer: 2, 79, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 7 - 3 = 0. Put -5, n, 4, -1 in increasing order.\nAnswer: -5, n, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 224 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.5 + 0.5. Which is the third biggest value? (a) 2\/3 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/4*4\/((-16)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.8 - -11.7972. What is r rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, l: 2}. What is prob of sequence ss?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*b - 72. Suppose 0 = 4*r - b - 30. Suppose 54 = -11*o + r*o. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.42686 litres to millilitres.\nAnswer: 12426.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 2:38 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 63 - 97\/2*y**2 + 329\/3*y**3 + 7*y + 49\/4*y**4. Factor b(i).\nAnswer: (i + 7)*(7*i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -109063 - -2?\nAnswer: -109061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07 + 0.07. Let k = 5 + -3. Suppose -k*q - 3*q = 10. Sort s, q, 1 in increasing order.\nAnswer: q, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -182 - -196. Calculate the lowest common multiple of y and 184.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12902151 is divided by 1041?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaq when three letters picked without replacement from aaqqqaaa.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - 56. Suppose -5*v = 4*b - 107, 2*v - 29 = b + y*b. Suppose u + 5*z - 32 = 0, -u + 49 + v = -4*z. Solve -5*l + u = -5*g + 17, 2*l = -5*g - 21 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6897) + sqrt(6897) + (sqrt(6897)*-1*5 - sqrt(6897)))\/((-1*sqrt(9))\/sqrt(3)*-4).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*w + 9 - 1, i - w - 4 = 0. Let g = 0 - i. Let f = g - -10. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -580*j + 6965*j = -10881*j + 2949*j + 1360115 for j.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37278 = -1929*q + 1911*q. What is the remainder when q is divided by 83?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 3. Let p be q(-3). Let b be (1 + 2)*4\/p. Calculate the remainder when 34 is divided by (b - -2)\/(-3) - -12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -373 + 346. Let d be ((-36)\/b)\/((-6)\/(-9)). What is q in -16\/5*q**d + 2\/15*q**5 + 0 + 44\/15*q**3 - 16\/15*q**4 + 6\/5*q = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**5 - 9818*p**4 - 3*p**2 - 84449*p wrt p?\nAnswer: 20*p**3 - 117816*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 + 6*g**2 - 2*g**2 + 3*g**2 - 8*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -5. Let z = 0.4 - -5.6. Let d = f - z. Which is greater: 3 or d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 25376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2998 - 2948. What is the least common multiple of h and (8*(-4)\/20)\/(2\/(-50))?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*f**4 + 2*f**2 - 1 + 2 - 1813*f + 1815*f as b*f**2 + w*f**3 + r*f**4 + s + p*f and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -109387762.475.\nAnswer: -109387754.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 220480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79586233 - 2386684259\/30. Let r = -30088 + c. Calculate the common denominator of -123\/70 and r.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2811694 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 - 15*r + 15. Is c(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6*-27 - (15 + -11). Solve 5*r - 5 = -5*j, l*j = -3*r - 5 + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -7. Let f = 8 + r. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14490 and 69?\nAnswer: 14490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50702 is divided by 110?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15.3 (b) 5 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1172, -2, -1 in descending order.\nAnswer: 1172, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**4\/4 + 10*m**3\/3 + m**2 + 15*m - 10. What is the units digit of w(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3210 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8910 = -91*j + 25*j. What is the highest common factor of j and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + sqrt(13))*-2 + sqrt(208)*4.\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, t: 2, i: 2, p: 5, s: 4}. What is prob of sequence ts?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519438 is divided by 172?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**3\/2 - 5013*k**2\/2 + 2792241*k\/2 - 518426079\/2 = 0.\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -4. Let x = 5 + -4. Which is the closest to -0.1? (a) y (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 7*k = 4*k, 3*k + 24 = -3*w. Is 14 a factor of w - (45\/(-1) - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/7 + 91708*s\/7 - 2102589316\/7.\nAnswer: -(s - 45854)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, -6, -154, -334, -552, -814, -1126, -1494?\nAnswer: -1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*c**3 - 4571*c**3 - 3023*c**3.\nAnswer: -7483*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b. Let s(g) = 3 - 3 + 3 - 2*g. Let u(w) = -w + 2. Let o(q) = 2*s(q) - 3*u(q). Let i(x) = -3*x. Let v(d) = -3*i(d) + 6*o(d). Give v(m(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*r - 7, -2*r = -5*m - 0*m + 4. Suppose m*l + 4*u = 7*u + 614, 4*l - 1228 = -2*u. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 1)*(-y + 0*y - y) - 1 + 1 - y + 6*y + 21*y - 9*y)*(1 + 0 + 8)*(12*y**2 + 6*y**2 + 2*y**2).\nAnswer: 2700*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85533 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4141539*p*v**2*w**2 + 1168*p - 9*v**2*w + 15*v**2 + 1003*v wrt w.\nAnswer: 8283078*p*v**2*w - 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6869 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5244\/(-16))\/(22\/8). Let m = i - -119. What is the biggest value in m, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + j - 7 = 0, c = 3*j + j + 24. Solve -c*x - 5*y - 26 = 0, -4*x - y = 1 + 17 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 1\/3*w**3 + 1\/2*w**2 + w + 97. Let h(f) = -3*f**2 - 10*f - 5. Give -5*c(t) - h(t).\nAnswer: -2*t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.64 - -0.16. Let a = f + 5.2. Let k = a - 5. What is the second smallest value in k, 4, 2\/19?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93120 by -96.\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**3\/2 + 2119577*i**2\/10 + 339134*i - 847834\/5 = 0?\nAnswer: -2, 2\/5, 423917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5))**(2\/7)\/((m\/m**(1\/3))\/m**(3\/2)) assuming m is positive.\nAnswer: m**(199\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 3*u**2 - 2*u**2)*(-24*u**3 - 2*u**3 + 12*u**3) + u**5 + 2*u**5 - 4*u**5 + 4*u**5 - 2*u**5 - u**5 - 3*u**5 + 5*u**5 - u**5.\nAnswer: 29*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2003.5 + 2003. Which is the nearest to 1\/4? (a) 0.2 (b) m (c) -4 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8968556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103\/2 + -52. Which is the second biggest value? (a) 3 (b) -1 (c) n (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*f = -4. Let n be (6 + -1)\/(7 + 0 + -6). Let d = n - f. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**4 + x - 1. Let z(i) = -33*i**5 + 6*i**4 - 54*i + 6. Let u(o) = -6*h(o) - z(o). Find the second derivative of u(k) wrt k.\nAnswer: 660*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*b**2 + 152*b**2 + 24*b**2 - 34*b**2 - 12*b.\nAnswer: 309*b**2 - 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1030009 divided by -2357.\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 680789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from {p: 1, b: 8, r: 2, x: 1, t: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74.40959 + 0.06959. Let y = u + 75. Round y to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.92 - 3. Let w = 0.42 - k. Which is the nearest to 0? (a) w (b) 2\/9 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p*p**(4\/5)*p*p)\/p)\/p)\/p*p**4\/p)\/((p*p*p**(2\/3))\/p*p**1) assuming p is positive.\nAnswer: p**(32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 31*o + 811. Calculate x(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**6*v)\/v**(-9))\/((v*v**(-3\/4))\/(v\/(v**13\/v*v*v*v)*v)) assuming v is positive.\nAnswer: v**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170937 divided by -56979.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1429738, 1429753, 1429768, 1429777, 1429774, 1429753?\nAnswer: 1429708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 7) to base 6\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 104608\nAnswer: -31382.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660258490 is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 70465.44 months in decades?\nAnswer: 587.212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -7*p + 411. Let y = p - -157. Calculate the highest common divisor of 60 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -33138*d + 34. Let q be l(-7). Round q to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -7*h + 10. Calculate the smallest common multiple of h and 130.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86462 is divided by 371.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -533.83 - -537. Let o = a - 3.16999537. What is o rounded to seven decimal places?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007268?\nAnswer: 2, 3, 83939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551742 is divided by 1336?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13850 (base 9) to base 11\nAnswer: -7103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 15. Let u be (4\/(-36)*-6)\/(100\/(-36) - -3). Solve 10 = -t - 3*c, b*t - 10 = c - u*c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5365*t**2*u + 8998785*t**2 - 1115*u**3 wrt u?\nAnswer: 5365*t**2 - 3345*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 15096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-295 - 30*p**5 + 295)*(2 - 6 - 1).\nAnswer: 150*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 8*g + 7. Let m be d(9). Is m\/(-4)*-1*-114 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by (0 - 16\/3)*(-1 - 2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -50\/813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-406)\/(-35)*(-3)\/4*(-520)\/(-624).\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*n**6 - 420*n**2 wrt n.\nAnswer: -6720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 13*g + 6 - 9*g + 10*g - 21 - g**2. Suppose 14*x - 49 - 167 + 34 = 0. Calculate the remainder when m(10) is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**3\/3 - 4*o**2 + 104*o + 104. Let u be w(7). Which is the nearest to -1\/2? (a) -56 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven eighths of a week?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221 + 12?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 501 divided by -501\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 29 + 2)*(0 - 1 + 2)*(1 - 2*j - 1) in the form m + n*j and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 50b - -2?\nAnswer: 50d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*x - 87*x - 71*x - 6441 + 1680 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 2. Calculate the remainder when 138 is divided by o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/192, 33, 24?\nAnswer: -1\/192","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -0.1 (c) -1 (d) 1 (e) -0.4 (f) -13870\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*o - 17, -2*o + 1 = -i - o. Let t(q) = -5*q - 1. Let d be t(0). Calculate the smallest common multiple of d + (16 - 0 - i) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**4\/4 - h**3\/2 - 6*h**2. What are the prime factors of k(-18)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (284\/6)\/(58\/18 + -3). Suppose t = 7*r - 291. What is the greatest common divisor of r and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 6*p + 5. Let r be b(-8). Suppose -r = -5*g + i, -2*g + 5*g = 2*i + 7. What is the remainder when 13 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q + 2*q + (2 + 1 - 1)*(2 - 2*q - 2) - q - q + 0*q - 3*q - q + 2*q + 5*q + 3*q - 6*q)*(22*q**3 - 5*q**3 + 14*q**3).\nAnswer: -155*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -4, 1, -0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + w - 2*w = 8, 2*w = 5*l - 28. Suppose x - 4*y = -0*y - 18, 2*x = 2*y - 6. Find the second derivative of -2*q**5 + l*q**2 - 4*q - 4*q**x wrt q.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125918\/43 - 2928. What is the common denominator of z and -46\/9?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1892, -3734, -5628, -7598, -9668, -11862?\n\"Answer: -4*i**3 - 2*i**2 - 1808*i - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29190840 and 341.\nAnswer: 321099240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6345*f - 12073*f + 7990*f)*(3*f + 3*f - 2*f).\nAnswer: 9048*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 5:34 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v. Let r(l) = 60*l. Suppose 3*q = -3*f + 327, 2*f + 2*f - 3*q = 457. Let d(w) = f*x(w) + 4*r(w). Let y(k) = 12*k**2. Calculate y(d(t)).\nAnswer: 3072*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103 + 43?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003328 rounded to 4 decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3452 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 20, 4*y + 0*y + f = -156. Let k = 88 + y. Calculate the greatest common divisor of 112 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 5*c + 44. Let l be 110\/(-33)*(-9)\/(-6). Let h be f(l). Calculate the greatest common divisor of h and 572.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62398662 and 174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -31. Let v = 2.66 + 0.34. What is the smallest value in n, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1631*d + 3*d**4 - 1 + d**3 + 3*d**4 - 3*d**4 + d**2 + 1640*d to h + s*d**2 + u*d**4 + q*d**3 + m*d and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 + 3*u - 9. Let x(q) = 1. Let i(h) = k(h) + 5*x(h). Let l(w) = -12*w**2 - 13*w + 16. Let v(o) = 9*i(o) + 2*l(o). Is 13 a factor of v(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5295747 to the nearest integer?\nAnswer: 2301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -127896.491 rounded to the nearest 100?\nAnswer: -127900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-664352)\/(-20) + ((-3)\/15 - (-24)\/40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**3 + 17*z**2 + z - 1. Let j(a) = 2*a**3 + 2*a**2. Let t(f) = -3*j(f) + y(f). Let q(g) = -5*g - 2. Let c be q(-2). Does 11 divide t(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 5*y + 35 = 0, -t + 10 = 5*y - 25 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-6))\/((-2)\/(-6)). Suppose 30*q = 32*q. Solve 11 = -u - s*r, -u + q*u - 5*r = 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by 65267.\nAnswer: 46\/65267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25864 and 366.\nAnswer: 77592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3286343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*p - 24212 = 0, 10196 + 1902 = 2*q - p. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.033 + -0.033. Which is the closest to -12? (a) -3 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (9 + 9 - 22) + (-2 - (-10 - -1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 38\/(-133) - ((-24)\/(-112) - (-2)\/8). Which is the second smallest value? (a) -127\/5 (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence elfe when four letters picked without replacement from {l: 6, f: 5, e: 7, x: 1}.\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 129020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i = -8*i. What is the second smallest value in i, -18, 3\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*q - 7*q = 8*q - 324 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, t: 5, y: 4, x: 1}. Give prob of picking 1 y and 1 t.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38154.2 * 300.\nAnswer: -11446260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1950*b**6*x**2 - 8124*b**3*x**3 + 22*b**2*x**3 - 9*b**2 - 4667*x**3 + 2*x**2 + 4*x wrt b?\nAnswer: -234000*b**3*x**2 - 48744*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/(-21))\/(4\/6). Solve -i*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-3)\/(-2))*(-32)\/48.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-35910)\/350)\/(3\/(-30)). Do l and 1025 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 606*g**2*z**2 + 2*g**2*z - 2*g**2 - 2*g + 49*z**2 - 2*z + 12 wrt g?\nAnswer: 1212*g*z**2 + 4*g*z - 4*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6849758?\nAnswer: 2, 3424879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -6918400 to the nearest one hundred thousand.\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -2, 0, -42, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 137820864931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -26478?\nAnswer: 7943.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - 5 + 5)*((-6*h + 0 + 0)*(6 - 6 - 2*h**2) - h**3 + 2*h**3 + 0*h**3) as b + j*h + i*h**4 + f*h**2 + g*h**3 and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 2*x**2 + x. Let i be o(-1). Suppose 4*b = 3*v + 29, i = 4*b - 2*v - 19 - 7. Let s = 11 - 10. Solve -26 + s = b*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15 + -12 - (32356\/(-8052) - -7) and 25\/66.\nAnswer: 4026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3 - 2*f**2 + 13*f - 10 = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -3, -5*r - 35 + 11 = 4*o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-12) - (-20)\/(-6). Let a(y) = y**2 + 3*y + 2. List the prime factors of a(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**3 + o**2\/2 + o - 2. Let w be s(-4). Suppose 4*z + w = 9*z. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4*i = -36, 8*i = 5*g + 5*i - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001477741 rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irlr when four letters picked without replacement from {w: 2, r: 3, i: 1, l: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 122.21860112 to 3 dps.\nAnswer: 122.219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xml when three letters picked without replacement from {l: 5, m: 1, n: 1, x: 3}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1597.908 - -0.00269.\nAnswer: 1597.91069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*-1*(-30)\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 12. Let c(j) = -1625*j + 1200. Calculate 5*c(y) - 500*t(y).\nAnswer: -7625*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-174)\/37758*27063\/(-194).\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528*x = -516*x - 60 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/8 and 2\/8 + 1848\/160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.883 times -37.65?\nAnswer: 33.24495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1067 + -1067.3. Let r = 220.4 + -220. Let o = -0.5 - -0.8. Sort 2, r, o, t in increasing order.\nAnswer: t, o, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/y**(-7\/6)*y*y*y**(-3\/2)*y**6\/(y\/(y*y**9*y))*(y*y\/(y\/(y\/(y\/(y*y\/(y\/y**(-1\/4)))))*y))**16*(y**(-1\/3))**(-3\/17) assuming y is positive.\nAnswer: y**(1618\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 + 127*d - 3864. Let q be u(23). Solve -5*p = -2*w + 10, -95 = 4*w - q for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260074100 rounded to the nearest 1000000?\nAnswer: 260000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n + 2. Let d(f) = -6*f + 5. Determine -5*b(s) + 2*d(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -9, -36, -5 in descending order.\nAnswer: 5, -2, -5, -9, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -123, 0.2, 5.\nAnswer: -123, -2, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -605 by -13566.\nAnswer: 605\/13566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1247825, 1247828, 1247831?\nAnswer: 1247834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence as when two letters picked without replacement from {h: 6, a: 1, l: 1, n: 1, s: 1, i: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 3*q + 28, 2 + 10 = 4*d - q. Suppose -a + 7 + d = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 243 - 33. What is the remainder when 26 is divided by (-7)\/j - (-170)\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -18, 1, 5\/18, -0.1, 3, -3.\nAnswer: -18, -3, -1, -0.1, 5\/18, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-3 - 61))\/(1\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 5*z - 2 = 0, 0*m - 4*m - 5*z - 6 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -4, 4, 2.\nAnswer: -15, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/9)\/((-4)\/(-798)). What is the highest common factor of c and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76*m**6 - m**4 + 177*m**3 - 24877972*m**2 wrt m?\nAnswer: 9120*m**3 - 24*m + 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 242\/264*10\/(-110)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.4 (b) 0.2 (c) -0.1 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/8 - (-449307)\/52974?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeee. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**4\/12 + 2*h - 1. Let l(w) be the first derivative of q(w). Let n(o) = o**2. Determine n(l(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/5 - 36338*g**2\/5 - 161755968*g\/5 + 30130094808\/5.\nAnswer: -2*(g - 179)*(g + 9174)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 4*r + 8, 11 = -0*b - 2*b + r. Let s be (-1)\/(-1 - 6\/b). Let w be (1 + 2)\/s - -1. Is -2 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1408*b**3 + 1 - 1416*b**3 + 5*b**2.\nAnswer: -8*b**3 + 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -9*r - 6. Let j(b) be the second derivative of -17*b**3\/6 - 11*b**2\/2 + 13*b. Calculate -11*c(x) + 6*j(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58876.\nAnswer: 2, 41, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-45)\/10 + 5 + (-3)\/6. Which is the closest to 2\/7? (a) 0.2 (b) s (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 902446856*d**2*s**2 - 123*d**2*s - 1200030*d*s wrt s.\nAnswer: 1804893712*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(3*s - 8*s - s) + 0*s + 4 - 2*s + 4*s.\nAnswer: 8*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/4 (b) 1733264 (c) 0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/21))**(-3\/5)*h**15*h*h\/(h*(h*h*h**23*h)\/h) assuming h is positive.\nAnswer: h**(-334\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 57*r**2 - 381*r + 83. Let z be f(68). Calculate the highest common factor of 73 and z.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -138741174*d - 173106783 wrt d?\nAnswer: -138741174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.43 times -52?\nAnswer: -74.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 191 = 383. What is the greatest common divisor of 60 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b - 3*b - 2*b + b**3 + 18*b.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 9*f**2 + 9*f + 1. Let a be y(-8). Let m(i) = -i - 7. Let z be m(a). Solve 0*n + n = z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 13*w - 23. Let y(j) = -j**2 - 14*j + 36. Let f be y(-16). Solve -36 = f*u - 5*v, v = w*v - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*k**5 - k**4 + 2*k**3 + 612*k wrt k.\nAnswer: -780*k**3 - 12*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 - x**2 + 4*x**2 + (4*x + 17*x + 3*x)*(-2 + 0 - 2 + (-2 - 1 + 1)*(2 - 2 + 8))*(-2*x - x + x) to the form u + l*x + y*x**2 and give y.\nAnswer: 964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(340)\/sqrt(250))\/(4*sqrt(6)\/sqrt(3)) + (sqrt(68) - ((-3*(sqrt(68) + (sqrt(68) - -1*sqrt(68)) - sqrt(68)) + sqrt(68))**2 - sqrt(68))) + -4.\nAnswer: -1704 + 81*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550355 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcxpt. Give prob of picking 1 x and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*-1*(-1)\/1. Suppose -5*i + 10 = -v*r, -3*r + 0*r = -12. Suppose 6*m - m = 80. What is the remainder when m is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 (base 14) in base 5?\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 137*97\/93023*224\/76?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/(-24) - (-21)\/6. Suppose 15*p + 5*o - 551 = 14*p, -2*p - i*o = -1127. Is 48 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (7 + -23 - -18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2274211 divided by -14?\nAnswer: 2274211\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238111, 238100, 238067, 238000, 237887, 237716, 237475?\nAnswer: 237152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 26 = -0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-955*g + 403 - 957*g + 1913*g)*(-2 + 1 - 1).\nAnswer: -2*g - 806","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 equal to 4.41357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from oottoob.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/((sqrt(308)\/sqrt(7))\/sqrt(4))*5)\/((-1*-1*sqrt(15))\/(sqrt(12)\/sqrt(36))).\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (907*l**2 + 4023*l**2 - 1920*l**2 - 369*l**2)*(l**3 + 0*l**3 - 5*l**3).\nAnswer: -10564*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2249107 take away -19282?\nAnswer: 19283.2249107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 42\/47?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 2:52 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95329 or -95326?\nAnswer: -95329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4972*n**2 - 3*n + 251684?\nAnswer: 9944*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*t**3 + 246*t**3 - 571*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570 = -7*l + 4*l. What is the highest common factor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -245*r**4 - 313*r.\nAnswer: -2940*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**3 - 2664*x**2 - 7206*x wrt x?\nAnswer: -12*x - 5328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -59, -0.66, -2\/3, 2465?\nAnswer: 2465","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**3 + m**2 - 4*m + 2. Let v(t) = 21*t**3 + 5*t**2 - 19*t + 10. What is 2*v(r) - 11*w(r)?\nAnswer: -2*r**3 - r**2 + 6*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 254*s - 257*s + 18, s + 22 = -3*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(3\/21*-1). Suppose f = -b, -2*b + r*b = -2*f + 6. Let x = -38 + 56. Calculate the greatest common factor of x and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)\/a**(-8))\/((a**(1\/5)\/a)\/(((a\/a**(4\/9))\/a)\/a)) assuming a is positive.\nAnswer: a**(16\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*h - 12 = 0, k + 4 = 2*k + 2*h. Let b = 503 + -1694\/3. Let j = b + 61. What is the smallest value in k, j, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 612?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - (-1 - -1))\/1. Suppose b*r + 61 = 5*a, 0*a + 2*r = -4*a + 40. Solve 3*c - 19 = -2*h, 5*c - 3*c + h = a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 38 = d, -2*d - 4*m + 103 = -3*m. Let t = -65 + 68. Suppose -b - t*o + d = 0, 2*b + 8*o - 96 = 4*o. What is the remainder when b is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 644, 1123, 1602, 2081, 2560, 3039?\nAnswer: 3518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhtt when four letters picked without replacement from {h: 5, t: 2, j: 1, x: 1}.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -30, -42, -58, -78?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-42)*l**(-3\/5))\/(l**29)**(2\/83) assuming l is positive.\nAnswer: l**(-17969\/415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**2*x**3 + 273717*g**2 + 9827*g*x**2 + 18*g - 4*x**3 wrt g?\nAnswer: 8*x**3 + 547434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b - 243174 - 132560 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406 a factor of 7658482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -5) + -1 + -5 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -323, -1335, -3025, -5393, -8439, -12163?\n\"Answer: -339*w**2 + 5*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.2, -2, -608?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 67*i = -3*i - 350. Sort 4, i, 32, -4 in decreasing order.\nAnswer: 32, i, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9\/53, 0.3, 5?\nAnswer: -9\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**5\/120 - 2*v**4 - 14*v**2 + 15*v. Factor r(x).\nAnswer: -x*(x + 96)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-7 + 7 - 2) + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -98 and -0.469130412?\nAnswer: 97.530869588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = j - 2*r - 8, 0 = -5*j - 3*r. Solve -j*b = 8 - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p + 5*f = -19, 4*p + f = 13. Let b be ((-10)\/6)\/(p\/(-12)). Suppose 137 = -b*r - 188. Is -65 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvkvvkvvkv. What is prob of picking 4 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 9:43 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 10. Let g(l) = -4. Let c(j) = 4*g(j) - 4*q(j). Let y be c(17). Suppose 0 = -4*f - 0*f + y. Solve -f*m + 14 = -5*o, -13 = o + 2*m - 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a57bc - -1b7?\nAnswer: a59a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-140))\/((-345)\/414)\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 9*n - 60. Give b(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*c - 12*c + 9*c - c + 0*c - c + (0 + 5 - 3)*(2*c + 1 - 1) + 20*c + 30*c - 13*c.\nAnswer: 42*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -0.1417?\nAnswer: -0.3583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2488106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37698873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -8, -3*o + 145 - 597 = -5*w. Calculate the greatest common factor of 792 and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 58*f + 1. Let q be t(1). Suppose -5*r = -3*z - 31 - 21, 4*z - q = -5*r. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {k: 1, g: 2, f: 8, o: 5, z: 3, c: 1}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*v**2 - 57*v**2 + 69*v**2)*(-24*v - 14*v + 18*v).\nAnswer: -1640*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 58361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 396 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + (-9 - 0 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1526*l - 1566 = -38183 - 1533 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**2 + 5*a - 3. Let n be 2250\/46 + (-4)\/(-46). Suppose -5*s = 34 - n. Determine g(s).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 2*m**2 - 862 + 869 - 15*m)*(3*m**3 - 2*m**3 - 2*m**3 + (m + 0*m + m)*(-2*m**2 + 0 + 0) - 4 - m**3 + 4).\nAnswer: 6*m**5 + 90*m**4 - 42*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 + -80. Let w(i) = g - 5 + 0*i - i. Let k(u) = 7*u. Calculate k(w(v)).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1461269?\nAnswer: 17, 43, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1*4)\/12)\/((-22908)\/2988)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138 and 69?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 45?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -58382.7*-79\nAnswer: 4612233.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 971 = -5*t + 31*v, 0 = -5*v + 15. Solve 30*b = -19*b + t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 10*t**2 + 3*t + 1. What is the units digit of p(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/(-70))\/(1\/(-5)). Suppose d - 139 = -3*c. What is the highest common divisor of 69 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749879951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, s: 1, g: 5, w: 5, k: 3}. Give prob of picking 1 k, 1 w, and 1 q.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -2*k**5\/45 + 5*k**4\/36 - k**3\/9 + k**2. Factor x(j).\nAnswer: -2*(j - 1)*(4*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562190635.\nAnswer: 5, 67, 1678181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 28. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - -0.8. Let j = -1.1 + k. Let n = -28 + 111\/4. Which is the nearest to n? (a) 1 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6369 and 20724.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4863580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4\/7 - 110*y**3 - 812482*y**2\/7 - 124519446*y\/7 - 123707736\/7 = 0. Calculate y.\nAnswer: -261, -1, 908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 9*w**2 - 11*w + 11. Give p(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z - 199. What is g(-39)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111 - 116. Calculate the lowest common multiple of (0 - 0) + 10 + 5\/n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -512*w**5\/3 + 1984*w**4\/15 - 158*w**3\/5 + 12*w**2\/5 = 0.\nAnswer: 0, 3\/16, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 89*y**6\/30 + 20*y**4 - 138*y + 2. Find the third derivative of k(c) wrt c.\nAnswer: 2136*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 7) in base 16?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -738*c - 1087*c = -31769 - 68606 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.241*0.4\nAnswer: -0.0964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1693.\nAnswer: 5\/1693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 5*y + 3*y)*(-6 + 0 + 11).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.022 - 6.1. Let r = i - -0.08. What is r rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d**3 + 4*d**2 - 13*d - 58. Let i(t) = -8*t**3 + 6*t**2 - 16*t - 60. Calculate -3*i(j) + 4*n(j).\nAnswer: -4*j**3 - 2*j**2 - 4*j - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 12*k + 3*k + 468*k**2 + 9 + 98*k**2.\nAnswer: 566*k**2 + 15*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 1.3, 2651, -0.04, -2\/19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 2723*f**4\/12 + 7417*f**3\/6 + 273*f + 3. What is the second derivative of k(c) wrt c?\nAnswer: 5446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1188)\/(-189))\/(2\/7). Solve -66 = -c*l - 0*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -24*o**3 + 11*o**3 + 14*o**3. Let p(u) = -2*u**3 + 2*u**2. Let j = -3 + 4. Suppose -j = 2*x + 1. Calculate x*p(v) - 4*d(v).\nAnswer: -2*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3085\/138 < -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/79 (b) -6\/151 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134632.\nAnswer: 2, 16829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39465, 39206, 38947, 38688?\nAnswer: 38429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -16 - 61. What are the prime factors of (k\/33 - (-16)\/6) + 508?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.41 and 52.37719.\nAnswer: 51.96719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10014067 - -45431144. Let b = u + -35417079.1000007. Let p = b - -2.1. What is p rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27)\/(-24)*2*32. Suppose 3*m = 4*j + 54, 4*j = 5*m - m - g. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 50*d - 14. Let r be q(49). Suppose -2*w + 110 + 82 = 0. Let v = w + r. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -10717.\nAnswer: -16\/10717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -41, 18, -5\/3, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7*o**3 - 2*o**2 + 3*o - 8. Let t be w(2). Suppose 0 = 3*h + 5*n - 56, 5*h - 30 = -4*n + t. Calculate the highest common factor of 87 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73075 is divided by 3479.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**3 - 2*s - 2. Let t(g) = 11*g**3 + 4*g + 5. Determine 5*b(k) + 2*t(k).\nAnswer: -3*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*g - 23*g + 14*g**2 - 301.\nAnswer: 14*g**2 - 301","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 105252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 + (-141)\/(-9). Suppose -550 = -5*u + 2*o, 0 = 6*o - o - 25. What is the highest common divisor of q and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/2512 and 39\/428.\nAnswer: 268784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -36*r + 4. Let v(u) = -55*u + 6. Determine -8*b(q) + 5*v(q).\nAnswer: 13*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 1026330*z - 513383675.\nAnswer: 5*(z - 205765)*(z + 499)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -1\/15 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8.74 (b) -1066.53 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2. Let b(i) = 371*i. Give b(s(y)).\nAnswer: -742*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33747193 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 - 3*o**3 + 2*o**3 + (o**2 + 4 - 4)*(0*o - 7*o + 4*o) + 959*o**3 + 2890*o**3 + 90*o**3 to w*o**2 + c + q*o + j*o**3 and give j.\nAnswer: 3934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -0.1158\nAnswer: -0.8842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 15660553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -902*w - 811*w - 222*w - 137*w + 376*w + 1 as u*w + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 6*m**2 + 4*m - 4. Let r = 2 - 9. What is the remainder when i(r) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.15252 times 1\nAnswer: 13.15252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*o - 3639, -w = -2*o - 5*w + 3648. Let d = o - 1139. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/56)\/(15\/216) + 159\/(-265)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/5250 and 191\/2331000?\nAnswer: 2331000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 213067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2100200122 (base 3) to base 11\nAnswer: -3197a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13609655.29100262 - 13609952.291. Let t = o + 297. Round t to seven dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(5) + (sqrt(55)\/(sqrt(33)\/sqrt(3) + sqrt(11)))**2 + sqrt(10)\/sqrt(2) + 4 + sqrt(5) + 5*sqrt(45) + 1.\nAnswer: 25\/4 + 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/8)\/((-46)\/184).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.5220995 millennia?\nAnswer: 5.220995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 - 3*w**2 - 4*w - 2. Suppose -2*s - 7 = -3*s. Suppose 0 = 3*c - s*c - 8. What is the tens digit of u(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4aa8 (base 11) in base 9?\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 3*u**2 + 0 + 1\/60*u**5 + 0*u - u**3 - 7\/24*u**4. Let q(j) = j**2 - 6*j - 5. Let v(f) = -6*q(f) + 5*t(f). Solve v(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0.9. Let l(o) = o**3 - 10*o**2 - 10*o - 7. Let y be l(11). Which is the third biggest value? (a) -3 (b) y (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20896495 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 33593661, 67187319, 100780977, 134374635, 167968293?\n\"Answer: 33593658*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*w - 12, -5*y = -w - 4*w - 45. Calculate the highest common factor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (3 + -3)\/2. Let h = -365 + 428. Let t(d) = -4 + h*d - 33*d - 34*d + 2*d**2. Calculate t(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00074044219 rounded to six decimal places?\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -299*n + 125269. Calculate m(419).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30255982 divided by -466?\nAnswer: 64927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 622912524.42 less than 36?\nAnswer: -622912488.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 0.832.\nAnswer: 4.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 7 - 4)*(-3*k + 0*k + 4*k) + (2*k - 2*k - k + (1 - 1 + 2)*(3*k - 4*k + 2*k))*(4 - 2 + 0) in the form h*k + j and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (1 - -1 - (16 - 2 - (-59 + 71)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 967 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3195 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*o = 7*o + 1406 + 519 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uttl when four letters picked without replacement from {l: 2, j: 7, w: 1, u: 2, t: 8}?\nAnswer: 28\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 16*d + 10. Let o be a(7). Let l(y) = 3*y - 27*y**3 + 6 + 4*y**2 + 49*y**3 - 21*y**3. Let q be l(o). Let m(j) = -2*j - 7. Determine m(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-165)\/6)\/(52\/24752*170).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 2:26 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -492*s + 1549. Is i(-50) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 20*m**2 + 25 + 159 + 22.\nAnswer: -20*m**2 + 166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-421675)\/(-12) + 11\/(-44) + (-190)\/570 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**5\/4 - 5*s**4\/6 + 5*s**3\/6 + 49*s. What is j in n(j) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 15*u + 13. Give b(15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 4*j - 4*j)*(1 + 0 - 4)*(-35*j - 336*j - 14*j).\nAnswer: -1155*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1393034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*a + 0)*(-22*a - 82 + 299 - 92 - 29).\nAnswer: 44*a**2 - 192*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**3 + 28704*s**2 + 2*s - 28704 = 0.\nAnswer: -1, 1, 14352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/5 - (-396)\/(-60)) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 5*i**2 + 8*i - 2. Let h(x) = -x**3 + 5*x**2 - 7*x + 1. Let k(s) = -5*a(s) - 6*h(s). Let f be k(4). Let j(o) = o + 1. Calculate j(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 19*k**5\/30 - k**4\/12 - 21*k**2\/2 + 15*k. Let g(h) be the first derivative of a(h). List the prime factors of g(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1675 and 33\/40.\nAnswer: 13400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -25*t + 180. Calculate the remainder when 294 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 696 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: Suppose -2*l - 165 = 3*l. Let y be (-1545)\/l + 2\/11. Suppose y = 5*a - 8. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.6 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - u**2 + 0*u**2)*((2*u - 5 + 5)*(-2*u**2 + 3*u**2 + u**2) + 4*u**3 - 2*u**3 + 2*u**3 - 63*u**3 + 496*u**2 - 496*u**2).\nAnswer: -165*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1259, 10217, 34599, 82115, 160475, 277389, 440567?\n\"Answer: 1285*r**3 + 2*r**2 - 43*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of -5 - (91\/21)\/((-3)\/909)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 5*f = -91. Let r(k) = 19*k - 32. Let n(y) = y + 1. Let g(t) = 3*n(t) - r(t). Let q be g(f). What is the highest common divisor of q and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/3*(-30)\/(1 + -6). What is the greatest common divisor of u and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20aa937a - -3?\nAnswer: 20aa9382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22101 + -10110112?\nAnswer: -10202220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(2\/17)*x)*x\/((x\/x**(-31\/2))\/x))\/(x**(-12\/7))**(-11) assuming x is positive.\nAnswer: x**(-7967\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(120)\/(sqrt(50)\/sqrt(5))) - (-5*sqrt(57)*-4)\/sqrt(3))**2.\nAnswer: 6859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2969 is divided by 2451.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*f - 194, 2*f + 4*d = -0*d - 106. Let m = -33 - f. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1072, -1070, -1068, -1066, -1064?\n\"Answer: 2*n - 1074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -2 - -3799 - (55 + -51)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.365202 rounded to 3 decimal places?\nAnswer: 0.365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*k = -7*k + 936, 5*y - 2*k - 1152 = 0. Let p = 453\/2 - y. Which is bigger: 2\/3 or p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 23*v + 220. Calculate the remainder when 63 is divided by (-186)\/(-14) + 3*v\/231.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 8*w - 16 = 0. Let k(y) be the first derivative of 0*y**2 - 2\/5*y - 1 + 2\/5*y**3 - 1\/5*y**w. Factor k(u).\nAnswer: -2*(u - 1)**2*(2*u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 32727474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2400\/7 + 80\/7*q + 2\/21*q**2.\nAnswer: 2*(q + 60)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 46495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 10:19 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmlji. Give prob of picking 3 j and 1 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 - 24*b - 7. Determine n(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -14*y**2 + 139*y - 57. What is the remainder when a(9) is divided by 27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71706 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 96 = -o. What is the first derivative of -23*d + 10 + o*d - 7*d wrt d?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34165 and 160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*l = 2*k - 25, -8 = -k + l. Suppose -16 = -4*o - 4*h, 0 = -8*o + 4*o - h + 28. Let d = o - -1. What is the lowest common multiple of k and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*p**2 + 15*p**2 + 15*p**2)*(220*p + 14*p - 102*p + (3*p + 3*p - 4*p)*(-3 + 3 + 2)) as m*p + b + l*p**3 + d*p**2 and give l.\nAnswer: 2992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 50347, 50335, 50321, 50305, 50287, 50267?\n\"Answer: -w**2 - 9*w + 50357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v - 15. Let a be o(-5). Which is smaller: a or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, 0, -2, 0.27, 0.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29169 + 2*k - 1541 - 13534 - 2629 - 30730)*(-2*k + 4*k + k) as d*k + h + f*k**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17897\/5508 - 1\/1377. Which is the closest to -1? (a) 2\/7 (b) 3\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(5\/7))\/c**(-5\/8))\/((c**2*c)\/(c\/(c\/c**(2\/13)*c))))**(2\/57) assuming c is positive.\nAnswer: c**(-2137\/20748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8227114, 16454231, 24681352, 32908477, 41135606, 49362739, 57589876?\nAnswer: 65817017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**3 - 153*c**2 + 4*c + 174. Determine g(-51).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or -63315?\nAnswer: -63315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598*s - 2828*s - 895*s + 335040 = 2459*s for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 5*o**2 - 8*o - 14. Let w be y(-4). Suppose -2*k + 4*k + 12 = 0. Let t = k - -7. Solve -3*h - t = -w*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3029 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -0.334, -5, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -2. Suppose 5*t = -4*o + 15, -5*o + 0*t = 4*t - 21. Suppose -r*h = o*n - 51, h = -n - n + 20. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11401.2 (b) 1\/3 (c) -0.2 (d) -0.07 (e) 0.1 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkq when three letters picked without replacement from rqsfoqoqqskk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -315*m**5 - 1887*m**4 + 11364*m**3 - 12672*m**2 - 96*m + 240 = 0.\nAnswer: -10, -2\/15, 1\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -370082026054 minus 0.773?\nAnswer: -370082026054.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/15*1\/(-6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.4 and -0.1?\nAnswer: 1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 21 = 2106*u - 2108*u, 0 = -u + f + 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**3 - 33*d**2 + 30*d - 147. Is o(22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -204, 221 in increasing order.\nAnswer: -204, -4, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -18*q - 31. Suppose -4*d = -133 - 15. Calculate the remainder when d is divided by w(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 s, and 1 t when three letters picked without replacement from {l: 2, q: 2, o: 1, t: 1, s: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by -1.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 540 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = c - 14, -4*c + 83 = s - 0*s. Let l be ((-14)\/21)\/(4\/(-42)). Suppose l = 2*k + 3. Solve -2*f = 2*f - 4*j, -k*f = 3*j - c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25693 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3\/2 - 265*j**2\/2 - 115*j + 780.\nAnswer: -5*(j - 2)*(j + 3)*(j + 52)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-585)\/(-65)*2*2\/(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*j - 5*j. List the prime factors of 376\/20 + j\/(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101000000111010011000 + 0?\nAnswer: -101101000000111010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*w + 12*w + 3*w - 182 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 240?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (17 - 17) - 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -5*r**4\/12 - 5*r**2. Let i(m) = -11*m**2. Determine i(v(q)).\nAnswer: -1100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 2 - -1 - (-8 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 0, -0.03, -1\/3, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44 and 60?\nAnswer: -2640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 4*q**2 + 2*q - 7. Calculate d(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1890.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 8768\nAnswer: 78912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 12:02 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5771\/3 - 1889. Let w = 563\/21 - a. What is the common denominator of w and -10\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12045.1087 plus 523859?\nAnswer: 511813.8913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + k**2 - k - 1. Give q(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51100772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2300\/(-600) - 1\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 822298008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 10*a = 15. Suppose -2*m = q - 24, 5*m = a*m - 8. Calculate the remainder when 125 is divided by q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1031927.\nAnswer: 13, 79379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 - -52. Let u(s) = 50*s**2 - s - 4. Let k be u(w). Let a = k + -113. What are the prime factors of a?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1267*p**3 - 8*p**2 - 4*p - 12. Let u(f) = 1267*f**3 + 6*f**2 + 3*f + 9. Calculate 3*n(x) + 4*u(x).\nAnswer: 1267*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 12. Suppose 3*h = f*h - 185. Is h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j - 4*s + 15, -5*s + 30 = 2*j. Solve 5*g + 40 = -4*v, -2*g = 3*g - v + j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -647 * 0.5\nAnswer: -323.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/74 - -55\/444. Let o(j) be the second derivative of 0*j**2 - 2*j + 0 + c*j**4 + 1\/20*j**5 + 0*j**3. Factor o(i).\nAnswer: i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 3*z + 19. Let k = 24 + -30. Let d be s(k). Let x be d + 1 + 1 + 1. Solve x*p = 3*a + 15, 3*p - 4*p = a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2091 and 23939859.\nAnswer: 2091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*h - 3, -1 - 2 = -5*h - 3*x. Suppose 0 = -h*o + 3*o - 174. Suppose 0 = -5*c + o + 47. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143 + -142.972. Sort y, 2, 0.4, -0.3.\nAnswer: -0.3, y, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 3*a + 0*a + (-2*a + 5 - 5)*(-3 + 3 - 8))*(19*a + 31*a - 7*a).\nAnswer: 602*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -27, 2, 55, 138?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -5 (c) 95 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 123342841 to the power of 1\/2, to the nearest integer?\nAnswer: 11106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 884 = 5*x + 2*d, -3*d + 184 = -x. Let b = x - -255. What is the greatest common factor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 take away 31?\nAnswer: -30.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**8\/60480 + x**7\/7560 - x**5\/20 + 3*x**2. Let k(l) be the third derivative of t(l). Let k(n) = 0. What is n?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -0.1176.\nAnswer: 0.04704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*f - 14, -4*f - 2 - 9 = -5*m. Let x = -0.07 - -1.17. Sort x, 0.5, f, -3 in descending order.\nAnswer: x, 0.5, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j - 250 = -79*j + 212 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 12118.\nAnswer: -25\/12118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-54)\/(-8) - (-5)\/20. Let j = -8 - f. Let t(o) = o**2 - 9*o - 1. Let m be t(7). Do m and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2628066 - 3?\nAnswer: -2628069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 200210222113?\nAnswer: 200210222123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 629 - 624. Let z(q) be the third derivative of -q**2 + q**3 + 0*q - 1\/60*q**5 + 1\/12*q**4 + 0. What is z(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pappppacpppppp. Give prob of sequence pca.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3137.36 centuries in millennia?\nAnswer: 313.736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8255?\nAnswer: 5, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*y - 5*k - 6, k + 8 = 5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r + 0*r)*(0 - 1 + 0) - 13 - 5*r + 13 - r + 5*r - 5*r + (2*r - 3*r + 0*r)*(2 + 0 - 5)*(-4 + 1 + 5).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/13 - 16*w**4\/13 - 270*w**3\/13 + 124*w**2\/13 + 1696*w\/13 - 1536\/13 = 0. What is w?\nAnswer: -8, -3, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27, -443, -1951, -5043, -10265, -18163, -29283?\n\"Answer: -91*x**3 + 27*x**2 + 86*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/1050*((-9 - -3) + 5). Sort w, 2\/7, -3\/5, 1.6, -2\/5 in increasing order.\nAnswer: -3\/5, -2\/5, w, 2\/7, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y**4\/7 - 69*y**3 + 786*y**2\/7 - 312*y\/7 = 0. What is y?\nAnswer: 0, 2\/3, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 14. Let v be j(3). Which is smaller: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.34 - -0.06. Let x = -1.6 - m. Let n = -2.1 - x. Is n >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 47. Let m = -31 - d. Let b(o) = -6*o - 1. Is b(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/(24\/4))\/(210\/(-168))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -33. Suppose -8 = -w + 2*w - c, 3*w = -y*c - 54. Let b = w - -36. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 5 = -l. Let f(n) = n**2 + 2*n + 2. Let j be f(-2). Find the third derivative of 4*w**j + l*w**2 - 4*w**2 - 2*w**3 wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 3 (c) -6 (d) 7.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-3)\/((-2)\/2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -33756979\nAnswer: 2\/33756979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19556, 39119, 58682, 78245, 97808?\nAnswer: 117371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -3*j**5\/5 - 591*j**4\/2 - 38413*j**3 + 117018*j**2 - 117612*j - 6103. Factor m(r).\nAnswer: -3*(r - 1)**2*(r + 198)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304)*3 - sqrt(304) - sqrt(19))*1 + 5)**2 + (sqrt(304) + sqrt(304)*4*-5)*5.\nAnswer: -310*sqrt(19) + 956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 20 = 4*n, -3*w + 4*w - 4*n = -4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97060545 is divided by 407.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b1d643 (base 14) to base 9.\nAnswer: -12241566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9517 less than or equal to -390172\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-41))\/((-21)\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4 (b) -0.09 (c) -12\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {a: 4, v: 5, s: 7}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5\/11 + 42*p**4\/11 + 32*p**3\/11 - 168*p**2\/11 - 160*p\/11 = 0. What is p?\nAnswer: -20, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7798*d**3 + 125435 wrt d?\nAnswer: -23394*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (444\/18)\/((-4)\/(-6))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2. Let g(q) be the second derivative of 0*q**2 + 0 - 1\/3*q**3 + 2*q. What is g(k(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (1 - (-2 - -8)) - -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 41*z + 164542 = 46*z, -3*z = -4*y + 164558. What are the prime factors of y?\nAnswer: 2, 67, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/34780 and 46?\nAnswer: 34780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -961773\nAnswer: -4808865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-10))\/(8\/(-60)*3))\/3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53567*q**3*w - 3090*q**2*w + 3*q + w wrt q.\nAnswer: 321402*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10d (base 15) in base 9?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -5 + (-11 - -18) + -2 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3550 (b) 3 (c) -0.2 (d) -7 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - ((-50 - 12) + -9). Which is smaller: l or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123 + 10?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*n + 3*w = -25, -4 = 3*n + 2*w. Let o(r) = -2*r + 8*r**2 - 7*r - n*r**2 - 4*r**2. Give o(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (53 - 22*28\/(-154))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vijj when four letters picked without replacement from vsuijijuujjjujiv?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8793\/10283 - -3\/1469. Let q(d) be the first derivative of v*d**2 - 4 + 9\/7*d + 1\/7*d**3. Solve q(m) = 0 for m.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6905804 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -559096, -559095, -559094, -559093?\nAnswer: -559092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6918954 - -0.125?\nAnswer: 6918954.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 + 0 = 0. Let h = 607 + -227. Let q = -373 + h. What is the least common multiple of q and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 6. Let f be k(-8). Suppose -5*b + 27 = f. Let y(z) be the third derivative of z**6\/120 - z**5\/15 - z**4\/6 - 5*z**3\/6 + 17*z**2. Determine y(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 977 - 8?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 3*h + 2. Let n(m) = -m + 3. Let k be 3\/3*-2 - -2. Let f be n(k). What is the units digit of t(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -1 - (-15 - -9 - (-12 + -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15869, -15874, -15879, -15884, -15889?\n\"Answer: -5*v - 15864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 5*f**4 + 5*f**3 - 130*f**2 + 120*f = 0.\nAnswer: -6, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + -31*16\/(-4). Let x = -37 + 42. Suppose x*v + 3*d - 569 = 0, -v + 2*d = -2*d - w. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20261037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/5 of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**3\/3 + 4*m**2 - 6*m + 96. Determine n(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565.90343945 - 2907?\nAnswer: -2341.09656055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/170 and 62\/51?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5337 is divided by 1681?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2483820 rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -915, -1054, -869, -198, 1121, 3250, 6351, 10586?\n\"Answer: 27*p**3 - 328*p - 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7))**26*p**10*p\/(p*p*p**(-25)))**(-1\/30) assuming p is positive.\nAnswer: p**(-29\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 + 4 - 7*a**2 - 4 - 2*a**3. Let i(w) = -3*w**3 - 5*w**2. Let q(t) = 4*i(t) - 5*x(t). Factor q(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39968001?\nAnswer: 3, 19, 47, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4*m - 42*m**3 + 3*m + 5*m + 0*m + 7*m + m**2 to t*m**3 + y*m**2 + d + h*m and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 4*b + 8. Let x be l(-6). Let v = -40 - -56. Let s = 13 - v. Sort s, 1, x.\nAnswer: x, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -1. Let q(a) = v + 25*a + 19 - 3 - a**2. Let z be q(27). Solve -3*j + z = -r - 0, 0 = 4*r - 4*j + 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -866*z + 870*z - 5*j - 30, 13 = 2*z - j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 259 = -11. What is the common denominator of 19\/2 and 10\/84 - (-20)\/h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45 - 19) + (-3 + 7 - 4) - -10?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 3*v - v + 0*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 12:12 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 11. Let a = -25.25 + 26. Let t = 0.65 - a. What is the closest to t in c, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -11*n + 1. Let i be p(-4). Let a be (-4)\/18 - (-54000010)\/i. What is a rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011296 to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 787 is divided by 87.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373918067.\nAnswer: 43, 8695769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 173061880 and 24.\nAnswer: 519185640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.26 - -2236090646.96.\nAnswer: 2236090646.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 106 in increasing order.\nAnswer: -2, 4, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1256188388.\nAnswer: 2, 7, 13, 359, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16425149 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4058 less than 4?\nAnswer: 6.4058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -410, -409, -408, -407, -406?\n\"Answer: s - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10547263 (base 8) to base 4.\nAnswer: 20230322303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**6\/120 + z**5\/10 + z**4\/12 - 2*z**3\/3 - z**2. List the prime factors of x(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*(sqrt(768) + 2 + 1*sqrt(768))*6 + 2)**2 + 3.\nAnswer: 170496*sqrt(3) + 3986795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 679167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13783 - 27566 + 13783 + 731*h.\nAnswer: 731*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) 0.9 (c) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + z - 5, -2*v + 31 - 6 = 5*z. Suppose 3*n = v, n = -2*i - 2*n + 2. Let m be 3*((-3)\/(-3))\/i. What is m rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67.4 + -67. Let j = -62 + 249\/4. What is the closest to j in -1\/3, -0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.95 - -0.05. Let t = -3.5 + 4. Let k = -0.4 + t. Which is the second smallest value? (a) q (b) 4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10001101101010 (base 2) to base 7\nAnswer: -35301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20833878 divided by 6944626.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c = 2*y - 4, 3*y - 6 = 4*c. Solve -4*t + 12 = 2*x - 0*x, y*x + t = 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -470.1, -5\/4, 2?\nAnswer: -470.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*y - 7 = 0, -4*o + 25 - 2 = -5*y. Let v(w) be the first derivative of 0*w - 1\/2*w**o - 9. Let c(k) = 4*k. What is v(c(t))?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 5, 1, 20, -1, -5 in decreasing order.\nAnswer: 20, 5, 1, -1, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -19)*6\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 2*t - 2*s, -3*t - 2*t = 5*s - 170. Suppose 0*h = -3*h + t. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2 = -11*h + 6*h, -f + 2 = h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 12*n**2 - 24*n - 15. Determine g(-10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spskakss. What is prob of picking 1 k and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15903351 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 2331 - 2306. What is the third smallest value in -6.1, v, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9718457 and 777.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 23*a - 19. Give n(-15).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-175*(2 + 0 - 1))\/1. Let r be 6\/4 - 2 - y\/50. Suppose -n = -5*q, 44 = -n + r*n + q. Calculate the remainder when 32 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 8:44 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*s = -67*s - 5309 - 675 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 6*x**2 + 10. Suppose 18 + 30 = 12*a. What is the remainder when m(a) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 5*f**2 + f - 7. Let s be q(-6). Let d(u) = -u + 50. Calculate the lowest common multiple of d(s) and 12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*s - 13 = 0, 4*u = -2*s + 11 + 7. Solve 4*x - 5*n + 8 = 0, -2*x - u*x - 5*n = -32 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 7:58 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.14 - 0.14. Which is the smallest value? (a) 1 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, i: 7}. What is prob of picking 2 g and 1 i?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 0 - (86 + -68)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12861 + 12864. Let j(v) = -3*v**2 + 14*v - 14. Calculate j(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5760.5 and 0.2.\nAnswer: 1152.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + r - 435. What is m(-19)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10336 divided by 646?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 1. Let z be x(0). Let w = -0.99 + 4.99. Let d = 7 + -3. What is the nearest to d in 0, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71675 is divided by 17918.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) -1\/8 (c) -5 (d) 1765\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppfdpwrbffbw. Give prob of sequence dwp.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 48 = -6*h. Let s be (-25)\/1*((h - 3) + -3). What is s rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -34*s**2 + 12. Let m(k) = 34*k**2 - 10. Let r(j) = -5*g(j) - 6*m(j). Let a(n) = -4*n. Give a(r(q)).\nAnswer: 136*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -7*y + 212. Suppose 4 = -10*b + y. Suppose -2*g + 324 = b*z + 3*g, -g = -5*z + 512. Is 20 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i - 5*i - i + (10*i + 205 - 205)*(-3 + 0 + 2 + (1 + 1 + 0)*(3 + 3 - 4)) as b*i + d and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (107 - 0) + -10159 + 10128?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7978892.\nAnswer: 2, 1033, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -268*c*r*t**2 - c*r*t + 17*c*t**2 - 2*r*t + 5*t**2 - 4*t - 341 with respect to c.\nAnswer: -268*r*t**2 - r*t + 17*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102 by 48.\nAnswer: -17\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**3 + 71*p - 992 wrt p.\nAnswer: -6*p**2 + 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 27 = 0, -u - 4*k = 4*u + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -11 - -2) + (-62 - -70).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2.46 (b) -1\/5 (c) 3\/4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -829 - -823. Let c(g) = -3*g - 16. Calculate c(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 264 - 236. Suppose 80*w - x = 73*w. Solve -w*z = -5*t + 25, -3*z - 23 + 9 = t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 5181.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 12:53 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 6. Let h be a(4). Solve h*f = -2*f - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t - 2*t + 5*t)*(0*t - t + 2*t)*(-1 + 8 + 3) to the form l*t**2 + v*t + n and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 + 751\/8. Let p be (2\/27)\/((-3)\/9). Let q = 216 + -216. What is the nearest to q in g, p, -4\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7325.4 + -7325. What is the third biggest value in -19, -2\/9, x?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 1\/3 (c) -0.023 (d) -4\/5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176446955 divided by 35289391?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 320 - 3472 = 0. Find the common denominator of ((40\/45)\/8)\/((-4)\/n) and -44\/39.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3)*u*u*u**(-37) assuming u is positive.\nAnswer: u**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38894 not equal to 38896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 35*w + 2. Let y be u(9). Suppose 5*a - y = 123. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 12 - 7 - 9*n in the form g + u*n and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 - 23*y**4 - 4*y + 44*y**4 - 19*y**4 to l*y**3 + u*y**2 + z*y + w*y**4 + q and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1629248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -79*s**2 + 2*s + 4*s**5 - 76*s**2 - 5*s**2 - 3*s**5 + 0*s**5 + 2*s**5 + (-2*s**5 - 4 + 4)*(2 - 1 + 0) + 5*s**5 - 5*s**5 + s**5 + 3*s**4 - 3*s**4 - s**5.\nAnswer: s**5 - 160*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -8*c - 3. Let u be 3*(25\/15 + 3\/(-1)). Let n(b) = 7*b + 2. Give u*n(d) - 3*o(d).\nAnswer: -4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.45 rounded to 0 decimal places?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119785 - 128349 = -6495*x + 5171 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddzolldnddnd. What is prob of sequence nzl?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2201210211110 (base 3) to base 14\nAnswer: 29b618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.31837 millilitres in litres?\nAnswer: 0.02931837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 11*i - 6. Let b = 30 + -20. Let v be q(b). Suppose o + 4*y - 23 = 0, v*o - 53 = -7*y + 4*y. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -13*b - 6*y - 0*y + 4*y + 4*y, 5*b - 4*y = -39 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(8) - sqrt(128)*2) + -2)*4)**2.\nAnswer: 448*sqrt(2) + 6288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1385)\/554)\/(2*15\/(-36)). Let v(l) be the third derivative of -1\/21*l**4 + 0*l - 1\/7*l**a - 1\/210*l**5 + 0 - 24*l**2. Find u, given that v(u) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38860?\nAnswer: 2, 5, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 814 - 482 - 730.\nAnswer: -2*l**2 - 2026","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + y = -3*i - 5, -5*y + i = -15. Let d be (6 - 4)*2\/y. Let z(w) = 54*w**2 - 2*w + 1. Is z(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2222 (base 3) to base 16.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 - 45.99. Let p = d - -46.3. Suppose -q - 4 = 5*l, -2*l - q - 3 = -2*q. Sort -25, l, p in decreasing order.\nAnswer: p, l, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 1324 = -4*u. Suppose -2*f = 3*f - g - 730, -2*f = -5*g - u. Does 30 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7683)\/(-33293)*(-26)\/34.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -39. Solve -4*t = t + u*c - 22, t - 3*c + 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5147.\nAnswer: 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 12045, -1\/2, 9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 5\/4 - (-3)\/((-240)\/(-460)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2. Suppose 14*z - 9*z + 23 = -3*r, -3*z = -3*r - 15. Let j be 306*5 + (r - -4). Let q(f) = -6*f - 1530 + j - 5*f. Give w(q(n)).\nAnswer: -121*n**2 - 44*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 46*b + 17*b - 272. Solve b*z - 7*z - 4 = r, r = -4*z - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 3*b = -1, -10*q + 11*q - 3*b - 7 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*((s\/(s*s**(-5)))\/s)\/s)\/s**3)\/(s**(2\/7))**(-3))\/((s**(2\/7))**24*s**0*s**(-3)) assuming s is positive.\nAnswer: s**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 3:33 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3*c**3 + 2*c**3 + 107*c**2 + 63*c**2 + (6*c - 5*c - 3*c)*(-4*c**2 + c - c).\nAnswer: 7*c**3 + 170*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11858221723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 150947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -277 - -273. Let j(k) = k - 3. What is j(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16375*w**4 + 3*w**2 + 104130.\nAnswer: 65500*w**3 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 33. What are the prime factors of (38\/(-3))\/((-10)\/r)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + w. Let t(c) = 2*c**2 - 4*c. Let n(j) = -4*r(j) - t(j). Let l(s) = 3*s. Give l(n(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 3. Let i = -9 + 13. Let h be i - 2 - 3\/3. Suppose -7 = -4*c + h. Determine s(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2436, 4 in decreasing order.\nAnswer: 4, 3, -2436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47 and 1222.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2739395297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnrw when four letters picked without replacement from {b: 1, n: 1, r: 2, a: 1, g: 1, w: 3}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220782?\nAnswer: 2, 3, 31, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-2 + -1)*2. Which is smaller: c or -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-10)*2\/(-3). Let t = 6 - 5.6. Let f = 0.47 - 0.17. Sort f, d, t in decreasing order.\nAnswer: t, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23761369 + -3?\nAnswer: -23761372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of y**3*z**3 - 2*y**3*z + 69*y**2*z**3 + 102*y**2*z**2 wrt z.\nAnswer: 6*y**3 + 414*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 7*x + 6. Let j be l(-6). Solve j = -2*n + 10 - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*u - 1450 = -89*u - 126*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uduuxvdubuxduvd.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/10 + -3\/5. Let y = 2 + -4. What is the closest to j in y, -0.3, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g - 17*g - g + 13 - 45 + g**2 - g. Let j be y(15). Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3499163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 - 0.04. Let k = 0.05 + t. Let f = k - -0.44. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**2 + 4 + 7*s**2 + 11*s + 7*s**2 - 9*s**2 - s**2. Give k(13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74800 and 23800?\nAnswer: 523600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -5407854.\nAnswer: -2\/901309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 0*b**2 - b**2 + 3108637*b**3 - 3108641*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 10*w = -13800. Is (1*w)\/1 - (-2 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/3 + 2*r**3\/3.\nAnswer: -r**3*(r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 7:20 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 14*c - 11. Let h be v(1). Let j = 6 + -2. Suppose -j*i = -4*m - 0*i + 8, 2*m = i. Sort -4, m, h.\nAnswer: -4, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -84, -123, -162, -201, -240?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 1705*i**8\/168 + 829*i**5\/30 - 53*i**2 + 4. What is the third derivative of k(z) wrt z?\nAnswer: 204600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 18, -1, -58, 1, -2, -9 in descending order.\nAnswer: 18, 1, -1, -2, -5, -9, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, 733 in descending order.\nAnswer: 733, 7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*0.02\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14758282.35 milliseconds to weeks.\nAnswer: 0.024401921875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 112*a - 22 - 379*a - 141*a + 12 as n*a + v and give n.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75*p**4 - p**2 - 114.\nAnswer: -300*p**3 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2406926 take away -7.7?\nAnswer: -2406918.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-28) + 18\/63 + (-1 - -3). Solve -i*q - 2*v + 2 = 0, -3*q = -0*q - 4*v - 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -25 + 1*(-1)\/1. Suppose -r = -2*r + 44. Let a = n + r. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**4\/42 - 2*i**3\/7 - 9*i**2\/7 + 4*i. Determine j so that k(j) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*l**4 + (7*l**3 + 13*l**3 - 3*l**3 + (-7*l + 14 - 14)*(3 - 3 + 2*l**2))*(-85*l + 38*l + 34*l).\nAnswer: -41*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 24223.81 millennia?\nAnswer: 24223810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 2\/9, -2\/7, 6\/133?\nAnswer: 6\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 3:13 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 9*t**2 - 6*t + 65. Calculate i(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-6))\/((-90)\/(-90))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 2. Let r be c(1). Let x(z) be the second derivative of 2*z - 1\/10*z**5 + 0*z**2 + 0*z**3 + 0 + 1\/12*z**4. Calculate x(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2851356 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 186 and 16158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x + 51 + 59 - 167 + 58. Let y(d) = -24*d - 4. What is 14*n(t) + 3*y(t)?\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (255765\/4543 - 57) + 6\/22.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**0)\/(a*a*a**(-4)*a)*((a\/(a**(2\/9)\/a*a*a)*a)\/a)**(-32) assuming a is positive.\nAnswer: a**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 203*d**3 + 12151*d**2 - 3*d - 240336 wrt d.\nAnswer: 1218*d + 24302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 + 26*b + 32. Let v be n(14). Solve 0 = -4*c + 5*l, -15*c + 20*c - v*l = 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d = -1. Suppose 5*z + 5*w - 60 = 0, -4*w - d = -5. Let s = z - -6. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -1\/24*z**4 + 3*z**2 + 0 + z**3 + 0*z. Suppose -u - 5 = -2*c, -u + 4*u - 5*c = -11. Calculate k(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2. Let s(c) be the third derivative of -79*c**4\/12 - 227*c**2 - 2. What is n(s(k))?\nAnswer: -24964*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0386 + 2.9686. Let a = -1.76 + l. What is a rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/5)\/3 + 0. Let o = 6 + -5. What is the third biggest value in a, o, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 9 = -7. Suppose -4*d - 12 = -4*o - 4, 4*o - 32 = -h*d. Let t(p) be the third derivative of p**5\/60 - p**4\/6 + p**3\/2 + p**2. Calculate t(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -152656 or 2937?\nAnswer: 2937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2*(-2)\/(136\/2)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 7*o - 8. Suppose 0 = -4*n + 3*u + 34, -2*n - 4*u = 2*n - 20. Let p be m(n). Let x = 14 + p. Which is smaller: 4 or x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-32)\/10)\/((-24)\/60). Let m(p) = w*p**2 - 16*p**2 - 3*p + 3*p. Let i(s) = s. What is i(m(l))?\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -422078 and 457562.33?\nAnswer: 879640.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5765492.\nAnswer: 2, 1441373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24371, -24641, -25087, -25709?\nAnswer: -26507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 13*i + 15. What is b(-13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14960611.\nAnswer: 619, 24169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11936288 divided by -131168.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*s = -6*a + 23, 4*a - 3*s - 19 = 0. Let z(k) = -37*k + 4. Let i be z(-3). Suppose 5*p - i = 2*l, -5*l = -p - a*l + 26. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-24) + (-26)\/(-4). Let s(y) = -y**2 - y - 1. Let d(g) = -7*g**2 - g - 1. Let r(f) = -d(f) + 6*s(f). Determine r(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 683538 and 4?\nAnswer: 1367076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**5\/160 - 23*m**4\/16 + 93*m**3\/16 - 2622*m**2. Factor k(g).\nAnswer: -3*(g - 1)*(g + 93)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83485735153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (24 - (-38 - -31)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8685 = -8*y + 23*y. Let k = -572 + y. What is the highest common divisor of k and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 433590.\nAnswer: 1\/433590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10535232 and 664384?\nAnswer: 73746624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 2:14 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1. Let p(n) = n - 4. Let y(v) = -p(v) - 4*t(v). Suppose 0 = b + 2*k, -4*b + 3*k - 2 - 9 = 0. Let i be y(b). Solve i = -0*x - x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0 = -9. Let i(r) be the first derivative of r**2\/2 + 4*r - 1281. Calculate i(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1377492 divided by 459164?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 52*j**2 + 166*j - 1189. Let w be m(-48). Solve 65 = -3*q + w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/10 + -1 - 17\/(-2). Suppose -f*c = -10*c + 720. Calculate the greatest common divisor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53103060 divided by 10?\nAnswer: 5310306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + 0.41. Let c(n) = 156*n + 31507. Let u be c(-202). What is the nearest to 25 in g, u, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c + c + (0 + 3 - 4)*(c - 5*c + 2*c) + c - c - 2*c)*((-2 + 0 - 1)*(3 + 1 - 5) - 1 + 5 - 2).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdbd when four letters picked without replacement from bbddbbddbdddd?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26 and 33517.89.\nAnswer: 33543.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**6\/5 + 5*j**4\/12 - 5*j. Find the third derivative of i(c) wrt c.\nAnswer: -144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/5, -35 in decreasing order.\nAnswer: 0.5, -2\/5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 195*a - 8987. Give r(46).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(684) - (2 + sqrt(684))) - (-2*(sqrt(1900) + sqrt(1900) + 0))**2.\nAnswer: -30408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 167 - 85 - 82 - 8*y**2 + (-47*y + 68 - 40*y + 88*y)*(-y - 4 + 4) to the form j*y**2 + p*y + a and give p.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from ttpfeefteatpeeee?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + -2 - (2 + -6). Suppose 2*z + 4*a - 50 = -p*z, -2*a = -z + 5. Solve z = 4*r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/5 + 11*d\/5.\nAnswer: d*(d + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -6, 10, 2\/9, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9a9 + -4?\nAnswer: 9a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 12 = 0, -2*a + 2*r + 22 = -3*r. Let d be ((-4)\/(-3))\/(a\/12). Solve 2*i - 3*f + 0 = 7, 4*i = 4*f + d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**5\/5 - 25*y**2\/2 + 49*y + 37. Let m(a) be the first derivative of n(a). What is the first derivative of m(s) wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t - 68*t + 22*t + 28*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3 + 10 = g, v = -4*g + 8. Let k = 107 + -105. Solve v = -p + k for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyy. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.364597 rounded to 3 dps?\nAnswer: 0.365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 198 + -2176\/11. Let q = -23304 + 23305. What is the fourth smallest value in q, b, 2\/21, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u + 103 = 2*z, 0 = 5*z + 5*u - 250. Suppose -2*y + z = 81. Let p = y - -47. Calculate the remainder when 116 is divided by p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 32330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004822 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, c: 3, r: 3, u: 1, m: 3}. What is prob of sequence mu?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b3232b5 + 5?\nAnswer: 1b3232ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*c - 745 = -8*p - 161, 2*p = -4 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59285878933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -80, 168, 582, 1162, 1908, 2820, 3898?\n\"Answer: 83*y**2 - y - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h - 3585 = -3263 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 5:41 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -30\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-2))\/n*n)**(-8))**(-28\/5)\/((n*n*n**2*n*n*n*n)**(2\/29)\/(n\/((n\/(n\/(n*n*n**(-4)*n)))\/n)*(n\/n**1)\/n)) assuming n is positive.\nAnswer: n**(-6286\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3521 a factor of 104559616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -10\/7, -15, -4\/83, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 30*p**2 + 10*p + 1200. Let s(v) = 2*v**2. Calculate s(l(q)).\nAnswer: 7200*q**2 + 2400*q + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528*o - 594 + 37 = -29*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1104531618 is divided by 5260.\nAnswer: 5258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + -1 + 3835 + -7 + 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*p + 1384, 0 = -4*b + p + 4293 - 1503. What are the prime factors of b?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/50*100\/15*(-105)\/(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1723666 = 2*x, -5*x - 75470 = 2*q + 1073615. What is q rounded to the nearest one thousand?\nAnswer: -575000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(8\/11))**(-27\/2))**(-2\/83) assuming t is positive.\nAnswer: t**(216\/913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -16642*r. Let c(l) = -4*l**2. What is c(o(g))?\nAnswer: -1107824656*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3852*k - 3850*k + 31 + 161 to the form q*k + i and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 929799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75242?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -26*g**3 + 3*g**2 - 4*g + 4. Let o(r) = 26*r**3 - 2*r**2 + 3*r - 3. What is -4*o(h) - 3*q(h)?\nAnswer: -26*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-2) + 0)\/1. Suppose -4*h + 120 + 63 = 5*r, o = -4*r + h + 138. Suppose 9*j = 14*j - r. What is the greatest common factor of 49 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5 - 3 = 0. Suppose -26 = 4*v - 66. What is the smallest common multiple of h and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - 14\/(266\/513)*-2?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a millennium in months?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*c = -84*c + 124 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-18))\/((-61)\/(-122)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*r - 75 - 84 = 141 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d - 54. Let v be b(-14). Let q(r) = -3 + 104*r + 102*r - 206*r - v*r**2. Let l(p) = -2*p**2 - 2. What is -3*l(n) + 2*q(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 - 22. What is the remainder when z is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 4074329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12896060 rounded to the nearest one hundred thousand?\nAnswer: 12900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 890160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 6*i - i - 11, -3*i = 5*l + 1. Let d be (12\/(-9))\/(l\/3). Put d, 2\/9, 2\/5 in ascending order.\nAnswer: 2\/9, 2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3241 - -3236. Let n = 9 + -9.04. Let l = -0.84 - n. Is q > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*z - j, -z + 5*j + 50 = z. Factor -14\/3*l**2 - 2\/3*l**3 + z - 14\/3*l.\nAnswer: -2*(l - 1)*(l + 3)*(l + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -20201?\nAnswer: 20210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 0 (c) -2 (d) 7 (e) -24416\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 0*h + 1 + 0*h + 10*h**2 - 4*h**2. Is k(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 21*d**5 - 2568*d**4 + 103800*d**3 - 1361142*d**2 - 1056861*d + 410670 = 0?\nAnswer: -1, 2\/7, 39, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 200 = 4*a + d, 3*a = -d + 150. Let f = 174\/5 + -1496\/45. What is the common denominator of f and ((-206)\/a)\/((-8)\/(-20))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 118723.49 rounded to the nearest 1000?\nAnswer: 119000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -140 greater than -2098\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 0)\/(1 + 0). Suppose -4*r = 4*h - 64, 5*h = 2*r - 0*r - 60. Suppose 0 = -2*k - l*k + r. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, n: 5, a: 10, w: 1}. Give prob of sequence ng.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*81.\nAnswer: 64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 v, and 1 u when three letters picked without replacement from {v: 2, a: 2, m: 6, j: 4, u: 1, i: 3}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-34)\/(-17) - (-30)\/3 - 4. Solve h*s - 14*s - 18 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + (-10 - -25) + 23644 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 9*f**2 - 10*f - 4. What is k(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 299 + -255. Let x = 2 - -2. Suppose -x*b = -3*b - n. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/72 - 1292\/(-18). Let n be (-16)\/g - (-58)\/18. Suppose 4*c - 4 = n*c. Calculate the smallest common multiple of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 7\/49064?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2 - 1 + 2*c**2 + 0 + c**2. Let u be q(1). What is the derivative of u*n - 5 + 4 + 4 wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - 69 - 67 + 145)*(-2 + 0 - 2).\nAnswer: 16*n - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b - 205 - 467. Let f be (-4 - b\/18)\/(2\/21). Suppose -21 = -f*m - 0*m. Let r(i) = i**3 - 5*i + 2. Give r(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319 = 2*k + 943. Let q = k + 602. What are the prime factors of q?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 k, 1 s, and 1 m when four letters picked without replacement from {m: 7, s: 2, k: 1, e: 4}?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22428 - a6a2?\nAnswer: -30b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*p**2 + 166*p**2 - 679*p**2 + 171*p**2 + 95*p**3 + 160*p**2 + 2.\nAnswer: 95*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1315, -2632, -3949, -5266, -6583?\n\"Answer: -1317*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 0*k - 2 + 6*k - 1 - 1. Let q be ((-48)\/(-30) - 1)*(6 - 1). Let x(d) = -d**3 - q*d + 7 + d - 9*d. Calculate 7*p(n) + 4*x(n).\nAnswer: -4*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 29*x - 11. Let g be b(15). What are the prime factors of g\/32 + 2428\/32?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o + 1101 = 0. Suppose j - 4 = 2*k + 4, -4*j = -k - 11. Is j + o - 20\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95960443?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -19. Suppose 0 = -3*g + h - 5. Let n(i) = -4*i + 5. Let t(s) = -21*s + 26. Let x(u) = -11*n(u) + 2*t(u). Give x(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 330 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*z**5 + 3*z**2 - 164*z**5 + 4*z - 322*z**5 wrt z.\nAnswer: -26880*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**2 - 20*c + 28. Let k(o) = -4*o**2 - 19*o + 28. Let g(m) = -6*d(m) + 5*k(m). Is g(-30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/((-7)\/14) + 2. Suppose o*f - 29 = -4*t, -3*t + f + 3 = -3*f. Suppose 756 = t*j - p, -452 = -3*j - 3*p + 2*p. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.4 - 6. Suppose 16 = 2*h + 2*m, 4*h + 5*m - 23 = 4*m. What is the third smallest value in w, 0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 + -148. Suppose 4*k = -5*i + 304, -9*k + 13*k - 276 = 2*i. Let f = d + k. Calculate the highest common divisor of 84 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7681713*w**3 + w**2 + 5*w + 139382?\nAnswer: 46090278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 - -1 - (16 + -16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -18.5 (b) -2\/35 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96111 and 21.\nAnswer: 672777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -231.63631 + -14819.\nAnswer: -15050.63631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 17 + -9 - (-21 - (-5 + 2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 d when three letters picked without replacement from pzhzhd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 7:43 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - 25.7. Is 0 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - s - 1. Let x(o) = -o**3 + o**2 - o. Let q be x(1). Let p be c(q). Factor -1 + 7\/2*z**p + 7\/2*z - 6*z**3.\nAnswer: -(z - 1)*(3*z + 2)*(4*z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.6 (b) 4.5 (c) 1 (d) -0.1 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a + 11920?\nAnswer: 119aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times 415.9\nAnswer: -29.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 9*l - 5 = 0. Sort 4, 2, l in decreasing order.\nAnswer: 4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45\/208 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-82)\/(-21) - (-12)\/126. Solve 0 = t*n - 1 - 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002604 to 5 dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*u + 18, -4*l = 4*u - 5*u - 9. Suppose l*d + 18 + 3 = 0. Let r(f) = -f**2 - 6*f + 10. Calculate the lowest common multiple of r(d) and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 282\/(-16) + (1085\/(-2232) - 4\/(-36))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4646824.\nAnswer: 2, 7, 13, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 2. Let v be h(6). Suppose -v*z = -4*b + 1792, 0*b - 1816 = -4*b - 4*z. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -632*g + 12014. Determine a(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 329 = -248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/8 and (-1)\/6 + (-275)\/240?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23072, -22497, -21540, -20201?\nAnswer: -18480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 260*z = -265*z - 2375, -3530 = -3*w + 14*z. What is the greatest common factor of w and 1140?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 10:59 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - 0.3. Let r = -7.8 + 8. Let j = 1.27 + -0.27. What is the second smallest value in j, h, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 3. Let g be (-2)\/(-7) - (-18)\/(-63). Calculate t(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*k**2 - 155*k**2 + 607*k**2 - 153*k**2 - 129*k**2.\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/5)\/((-10)\/475))\/(81\/((-13608)\/420))?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 10. Let s = 3 + b. Solve s = l - 5*v - 16, 5*l - 2*v = -0*l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*2*(-4)\/28?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 386*f**2 - 396*f**2 - 755*f + 23 + 766*f to g + z*f**2 + a*f and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37165139?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1361413 or -0.3?\nAnswer: -1361413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**3 - 2*o. Let w(s) = -s + 1. Let y be w(2). Let d(n) = n**4 - n**3. Let b(r) = y*a(r) - 3*d(r). What is the second derivative of b(z) wrt z?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -14 (c) 1 (d) 0 (e) 2327\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**3 + 7*j**2 - 5*j + 10. Let y be r(3). Find the common denominator of y\/(-16)*112\/42 and (2\/6)\/((-26)\/102).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128440 and 544856?\nAnswer: 51761320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*sqrt(5)*1*-6 - (2*(0 + sqrt(15)\/sqrt(3)*2))**2.\nAnswer: -80 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + (32\/4)\/(-4). Suppose g - g = y*g. Suppose -5*a - 5*n - 615 = g, 360 + 157 = -4*a + n. Round a to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/281 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/128*6\/15*-6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12679, -12640, -12575, -12484, -12367?\n\"Answer: 13*m**2 - 12692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - -1 - (-5 - ((-45 - -25) + 22)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 25163835*s - 33.\nAnswer: -25163835*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**11*g**(-15) assuming g is positive.\nAnswer: g**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-5)\/(-5) + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**2 + 51*f**4 - 10*f**2 - f**3 - 1 - 55*f**4 to v*f**3 + z*f + c*f**4 + d*f**2 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 - 31.5. Let b = q + -33. What is the second smallest value in -0.4, 9, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2. Let i = 148 - 147. What is the remainder when c is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -5 (c) -0.1 (d) 8 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 558*w - 14 = 560*w, 4*r - 94 = 2*w. Solve -3 = 17*i - r*i + 3*f, -3*f = -i + 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.4 + 0.6. Let r = n + -3.26. Let j = r + 0.2600004. What is j rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 - 10*n**2 - 13*n + 60. Let s be b(6). Suppose 36 = 4*w - 108. What is the highest common divisor of w and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (5 - 3 - 1). Suppose c*u - 31 = -u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423 - 17 = 88*y. Let m = -68 - -336\/5. Which is the closest to 3\/2? (a) 5 (b) y (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2028\/(-286))\/(-13)*11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 11:19 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 688\/13072*2204\/(-16)?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 211409193*x**6 - 2592610*x**2 - 40.\nAnswer: 25369103160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 - 6*a**2 - 14*a**2)*(0 + a + 0) + 17 - 2*a**3 + 3*a**3 - 4.\nAnswer: -22*a**3 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1751 (base 10) to base 5.\nAnswer: -24001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1415 - 2*b**3 - 437 - 433 - 545.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 2*w - 5. Calculate s(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -235*k**3 - 25*k**2 - 25*k - 25. Let u(m) = -39*m**3 - 4*m**2 - 4*m - 4. Let q = 8647 - 8672. Give q*u(p) + 4*w(p).\nAnswer: 35*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-28)\/6*1 - -3)*-3. Let i be 8\/(-76) + 4\/38. Solve i = m*v - 8 - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1332?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w = 436. Suppose b = 4*n - 0*b - w, -4*b = 4*n - 124. Suppose -z = -n - 8. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 200*d**4*u + 4*d**2*u - 8921*u wrt d.\nAnswer: 800*d**3*u + 8*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**8\/84 + 11*t**5\/60 - 12*t**2. What is the third derivative of w(i) wrt i?\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28866\/53 + 411481\/265. Suppose l + 1304 = -787. Let q = l + t. Find the common denominator of q and -8\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3274 is divided by 272.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6139.2631 times 4\nAnswer: -24557.0524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1119 and 829384896.\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26029, 52178, 78513, 105118, 132077?\nAnswer: 159474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006542154 to 7 decimal places.\nAnswer: 0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 30 = -28. Suppose 6*d - d + h*a - 14 = 0, -5*d + 4*a + 2 = 0. Find the third derivative of 15*i**d - 39*i**2 + 14*i**3 + 14*i**2 + 8*i**2 wrt i.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.7, 3\/2, -2, 1\/5, -31 in descending order.\nAnswer: 3\/2, 1\/5, -1.7, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 - 100 = -3*k. Suppose 4*y - 1989 = -k. List the prime factors of y.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125 and 225.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -12. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-75\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*p + 10. Suppose -5*g = p*n - 30, 2*g - n + 1 = 19. Calculate the least common multiple of g and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173429187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*p + 433 - 521 + 2053 = 43*p for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = p - 0*p. Solve -j = -0*j - p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 10\/5437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 + h**2 - 2*h**3 + 24*h + 152*h.\nAnswer: -2*h**3 + 4*h**2 + 176*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 661. Let k = -4086 - -4160. Calculate the highest common divisor of k and d.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -f + 2*t, 0 = -338*f + 343*f - 5*t + 55 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p - 17. Let z be x(18). Let m = 293 - z. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 866 + 580.\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134 - 131. Factor 15\/2*q + 3\/2*q**4 - 9\/2*q**2 - 3\/2*q**3 - u.\nAnswer: 3*(q - 1)**3*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3.2. Let g = s - 0.1. What is the nearest to g in 2\/7, 41, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491695*y + 2*o = 491692*y + 68, -3*y + 3*o + 116 = -2*y + 6*o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 817.6 less than 100?\nAnswer: -717.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -135746*j - 5701326. Give o(-42).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 31.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*t + 27, h - 31*t = -28*t - 2. Suppose 74 = 4*v - 2*v. What is the remainder when v is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeoz. Give prob of sequence ozz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 0 + 3 + (-26038)\/9010. Let q = z - -2\/265. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 3024.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 47438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + (15 - 21) + 12 + 7 + -13.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (9 - 22) - 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 65*p**2 - 8*p + 6. What are the prime factors of g(3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehx when three letters picked without replacement from {s: 1, x: 3, p: 5, e: 1, h: 5}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 116\/(-112) - (-15)\/20. What is the nearest to 0 in o, 12, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2. Let x = -37 - -58. Let d(r) = -x*r + 7 - 11 - 11. Let w(p) = -3*p - 2. Let l(h) = -2*d(h) + 15*w(h). Give b(l(o)).\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4833?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.04, 6, -12?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 5*p + 4. Let j(g) = 3*g**2 - 15*g + 13. Give -2*j(u) + 7*r(u).\nAnswer: u**2 - 5*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 q when three letters picked without replacement from {o: 2, a: 4, g: 3, q: 3, n: 1, j: 2}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440830 is divided by 33.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1224 and 24814908.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1852 + 4933. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.033 from -0.1866.\nAnswer: -0.1536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t - 5*u = -28*t + 50, 5*t + u - 19 = 0. Which is the second biggest value? (a) t (b) 4 (c) 11 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 73 = 133. Let q be (10\/(-25) + 1)*o. Let t be 2 - (-5)\/((-10)\/q). Let u(z) = -z + 3. Give u(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18994*p**5 + p**2 + 46*p + 2 wrt p?\nAnswer: 1139640*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -87806 and 3.\nAnswer: -263418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 462 - (-49)\/(-14)*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -139520518*s**5 + 378440582*s wrt s?\nAnswer: -2790410360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 - 2*(1 + -2). Let m be (-3*f\/9)\/2. Does 19 divide m\/7 + (-135)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 13 = y + 5*j, 0 = -3*y + 5*j + 34 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -37*u**4\/4 - 97*u**2\/2 - 59. What is the second derivative of m(k) wrt k?\nAnswer: -222*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q + 136. Let j(y) = -3*y + 204. Determine 5*j(v) - 8*x(v).\nAnswer: v - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {u: 15, g: 4}.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 205*d**2.\nAnswer: -5*d**2*(d + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1105 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640406203.\nAnswer: 640406203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**20\/z)\/z**(-1\/32))\/(z**2\/z*(z\/(z\/(z\/z**20)))\/z))**(-31) assuming z is positive.\nAnswer: z**(-37727\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 3 + -4)*(-2 - -28). Suppose -5*k = a - 76. What is the smallest common multiple of k and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 53563706.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 167.1 - 167. Let w = -1 - -2. Let g be w\/(-3) + 20\/6. Sort u, g, 5.\nAnswer: u, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*z = 18, z + 16 = 2*w - 2*z. Calculate the remainder when w is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4266 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 21*k**3 + k**2 - 4*k + 2. Calculate the remainder when 158 is divided by w(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*n - 10, 0 = -4*u + 5*u + 3*n - 6. Suppose 45 = u*t - 8*t. Which is smaller: -8 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n + 94. What is x(16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21595, 43599, 65603, 87607?\n\"Answer: 22004*t - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 38. Suppose 4*n = 2*n + q. Suppose 0 = -n*p + 1874 - 409. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (4 - 2\/1). Let c(t) = -t**2 + 6*t - 3. Let g be c(5). Suppose g = -q, 2*p - 2*q = -4*q + 2. Solve 3*s - 3*m - 12 = 0, p*m - 2*m - 5 = -i*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*b - 511, 0 = -4*b + 4*x + 103 - 659. Let o = b + 192. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3515?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 13) to base 5\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5 = -4*i, -204*i + 205*i + 80 = -9*c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -f**4\/6 - f. Let a(y) = 4*y - 6. Let i(t) = -t + 1. Let d(v) = -a(v) - 6*i(v). Calculate g(d(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u + 315. Let v be w(-40). Which is the smallest value? (a) -2\/9 (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1845 - -293. Suppose 2*f - 2*k + 3*k = b, 3*k = -2*f + 2138. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 14*g**2 + 43*g - 11. Let o be j(-5). Let f(w) = w**3 - w**2 - 1. Let h(v) = 10*v**3 - 6*v**2 - 6. Give o*h(z) + 6*f(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -734826 + -2?\nAnswer: -734828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 6:03 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h**6*u + 82*h**4*u**2 - 2*h**2 - 2*h*u**2 - 54*h wrt h?\nAnswer: -480*h**3*u + 1968*h*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -12*a + 139. Let v be y(12). Sort -1, 18, v in increasing order.\nAnswer: v, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -18*w - 13. Let n(d) = -18*d + 10. Let m(h) = -4*h + 1. Let k(g) = 6*m(g) - n(g). Let y = 45 - 38. What is y*k(q) - 2*u(q)?\nAnswer: -6*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/13*10\/((-5)\/(-1)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1500\/(-20) - -69 - (-38)\/(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*((y*y**(-12))\/y*y)\/y*y\/(y\/y**(-6\/29)) assuming y is positive.\nAnswer: y**(-325\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4196287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by 145.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 10 = r - 1, -3 = -j + 4*r. Which is the second biggest value? (a) 162 (b) 3\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g - 18. What is s(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1610451853.\nAnswer: 9013, 178681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 + 144*f. Let u(d) = -2*d + 20. Let b(z) = -z + 12. Let i(t) = -5*b(t) + 3*u(t). Determine s(i(l)).\nAnswer: -2*l**2 - 144*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 36*m**2 - 10382*m + 487222 = 0.\nAnswer: 59, 4129\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*g - 9, 5*g = 3*j + 3*g - 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -13*m + 1. Let d be n(-1). Suppose 0*s - 2*s + d = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 + -60. Let y = 11 + -5. What is the remainder when y is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -709 - -2?\nAnswer: -707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 8. Solve -5*s + 4*s - 5 = a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.56496 + -3.06458. Let m = l - -2.5. What is m rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*z, -z - 2*z = 0. Suppose -2 - 5 = 2*l + 3*d, -l - 5*d - 7 = s. Let w = l - -6. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y + 9. Determine r(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 9*r**2. Let k(i) = 18*i**2. Give 5*a(n) - 3*k(n).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -2) + 43 + -39 - (-1 + 1536). Sort n, 0, 4 in increasing order.\nAnswer: n, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 196 and 357876.\nAnswer: 17535924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1180150 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 13*g - 73. Calculate h(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a3782a (base 12) in base 9?\nAnswer: 4736787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.39572 to 2 dps.\nAnswer: -10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 468 and 6981.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87864869063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**5\/60 + 7*d**4\/24 - 3*d**3 - 14*d. Let t(w) be the second derivative of u(w). Let j be 7\/(4 + -7 + 2). What is t(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1364099*n**2 + 812461.\nAnswer: 2728198*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 620822057 to the power of 1\/2, to the nearest integer?\nAnswer: 24916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t + 391 + 54*t - 4*t.\nAnswer: 59*t + 391","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/9)\/((-2)\/(-18)). Let f be (s\/(-2) + 293)*40. What is f rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5658, 4.1, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26\/71 or 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 4*f + 20, -1 = x - f - 0*f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -132 divided by -14\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -5, -0.8, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30108 is divided by 112?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/2)\/((-5)\/(-5 + 10)). Let q be (9810\/(-20))\/(s\/(-48)). Suppose -4*o + 2*f - 6*f = -q, 4*o - 2*f = 11748. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -11*r - 7. Let u(g) = 33 - 73 + 42 + 4*g. Give -3*q(i) - 8*u(i).\nAnswer: i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -4. Let a = r + 3. Suppose -3*j + 37 - 25 = 0. Sort j, -3, a in decreasing order.\nAnswer: j, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - 3. Let i = 33 - x. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 8*z + 14. Let j be y(8). What is the second derivative of 6*r - 23*r**3 - 2*r**3 + j*r wrt r?\nAnswer: -150*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 525, 458, 389, 318?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11119721, 44478875, 100077465, 177915491, 277992953, 400309851, 544866185?\n\"Answer: 11119718*j**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3313 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w**2 + 3*w**2 - 3*w**2 + 0*w**2 - 31*w**2 + 22*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-15))\/(8\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 + 13*c + 1.\nAnswer: 13*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -2.2. Suppose 5*f = 2*p - 23, -4 = -4*p - 4*f - 0*f. Let w = 6\/13 - 56\/65. What is the third smallest value in j, p, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4188436 - 9988436. What is x rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 365*q**5 + 453*q.\nAnswer: 7300*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 6*k**2 + 390*k + 12. Let v be q(-23). Solve -v = 13*h - 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/5))**14*r\/(r**(-3\/10)\/r)*r\/r**(-3\/8) assuming r is positive.\nAnswer: r**(-189\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -181, -3, -107 in descending order.\nAnswer: 7, -3, -107, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4117 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 491*l**2 + 403*l**2 - 1 + 304*l**2.\nAnswer: 216*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2399743, -16, 3 in descending order.\nAnswer: 3, -16, -2399743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -14, 0, -1\/2, 2\/17, -49?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57977\/4 + 14480. Find the common denominator of n and 2\/(-15)*38\/12.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -3. Let i be s + 1 - (1 + 2). Let h be ((-8)\/(-18))\/(i\/6). What is the third biggest value in -2\/17, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26\/5 of a century?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 12:58 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 12 = -14*v. Solve -4*o + o + 2*d = 17, -5*o + v*d - 27 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**4\/24 - 2*r**3 - 11*r**2. Calculate a(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2434107 is divided by 202822.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 21 + -41 - 20.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1351104 (base 6) to base 10.\nAnswer: -76720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.149 * -1690.7.\nAnswer: -3633.3143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -236250.\nAnswer: -1\/11250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 - 3)*(-2 + 0 + 1)*(-3*i + 12*i + 6*i + (1 + 1 - 1)*(i - 2 + 2) + i + i - 4*i) + (-4*i + i + i)*(-1 - 3 + 5) to g*i + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -7. Suppose -4 = -3*i + r - m*r, -5*r + 5 = 0. Let s(h) = 7*h**3 + h**2 - h + 1. Determine s(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*z + 509162 = 83*z. What are the prime factors of z?\nAnswer: 13399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 1\/12*p**4 + 0*p**3 + 0*p + 0 + 1\/60*p**5 - 2*p**2. Suppose g(w) = 0. What is w?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42.7 + 42.7. Which is the third smallest value? (a) -0.5 (b) 46\/7 (c) -5 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 2. Let l = 5 + q. Sort 9, l, 2\/9 in decreasing order.\nAnswer: 9, 2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -28*g**2. Let v(h) = -11*h**2 + 35*h. Let y(t) = -22*t**2 + 77*t. Let o(m) = -11*v(m) + 5*y(m). Calculate o(q(l)).\nAnswer: 8624*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10630.027344 - -10630. What is d rounded to three decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*o)*(-2*o + 2 - 2) - 73720900*o + 73720900*o + 15133*o**2.\nAnswer: 15137*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -4, 14, -1\/9, 746?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*y - 21*y - 3*y)*(0 + 0 - 1) to w*y + t and give w.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 2:44 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100651 is divided by 527?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*h - k + 1199999, 6000003 = -5*h - 3*k. Round h to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -1645 + 15235. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 + 1.1. Suppose -v - r = 58, -3*v + 0*r - 168 = r. Let z be (-22)\/v*(-2)\/4. Which is the smallest value? (a) -0.3 (b) 1\/2 (c) m (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 + (2376\/30)\/1)*5. What is the highest common factor of z and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 2:56 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 170 * -1426\nAnswer: -242420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-27)*-6 - (-224)\/(-36). Let k be z + 2 - (-24)\/3. Suppose -k*a - 183 = -1819. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (1 + -2 + 0). Find the common denominator of -17\/7 and -62*(-1*(-1)\/(-20) + y).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2655735 - 1469*p**2 + 2655735.\nAnswer: -1469*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 345024 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 9*t - 14. Let l = 8 - 21. Let i(b) = 4*b - 7. Let s(x) = l*i(x) + 6*j(x). Let a(d) = -2*d - 8. Let k(r) = 3*a(r) + 4*s(r). Give k(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 196 - 196. Suppose -q + 10*q - 9 = v. Is 272 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-1.029658.\nAnswer: 2.059316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103904*w**2 - 1336905*w**2 + 279124*w**2.\nAnswer: -1161685*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Does 815 divide 491695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 190145\/111 + -1713. Which is the smallest value? (a) -1\/2 (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44557810 is divided by 600.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 209\/33)*(-5 + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16865 by 23.\nAnswer: -16865\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 763 + 997 = -4*q. Let u = -178 - q. Let z = 377 - u. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 2*n**2 + 2*n - 5. Let f(b) = -3*b**3 - 5*b**2 - 5*b + 11. Calculate 2*f(k) + 5*z(k).\nAnswer: -k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**4 - 552*y**3 + 13*y**2 + 7188*y + 6624 = 0?\nAnswer: -552, -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 5*f)*(-2 + 1 + 3)*(-3*f + 4*f + 0*f)*(0 - 4 + 3 + (-1 - 4 + 1)*(-9 - 18 - 11)).\nAnswer: -1510*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z + 4. Let b(a) = 17*a - 7. Give -4*b(m) - 7*x(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jamjjmfafmjbjm. Give prob of picking 1 f and 1 a.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*c**2*q**3 + 9*c**2 - 611*q**3 wrt c?\nAnswer: 52*c*q**3 + 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 15, h + o - 1368 = 6*h. Let k be (-36)\/h - (-4)\/(-14). Which is the second biggest value? (a) 2\/3 (b) 0.04 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*f - 159*f + 60 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4507*y - 4810*y + 1 + 8970*y. Let c(w) = -w**2. What is z(c(u))?\nAnswer: 347*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -134, 2\/17, 3\/7, 5\/3, -9?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**2\/2 + 2. Let n(f) = 2*f**2. What is n(a(c))?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/12240 and -1\/119?\nAnswer: 85680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 6*o + 10. Let n be r(6). Let j be (3 - n\/3)*-12. Solve 0*i - j = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -185335, -183982, -182629, -181276, -179923, -178570?\n\"Answer: 1353*a - 186688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f - 2. Let z be c(4). Suppose -z - 5 = -5*g. Suppose g*p + 15 = 0, 4*h - 54 = -2*p + 28. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/38 + 13\/76. Let a = 2767.1 - 2770. Which is bigger: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3927 - -3800. Is o < -122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111070, -222197, -333338, -444499, -555686, -666905, -778162, -889463?\nAnswer: -1000814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (15 + 0)*(1 + 1\/(-3))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*h - 85*h - 89*h + h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 320101311 + -100112?\nAnswer: 320001133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 4113\nAnswer: 7\/1371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -133, -2, 4, -1, 1, 608, -5 in decreasing order.\nAnswer: 608, 4, 1, -1, -2, -5, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011909 to 5 dps.\nAnswer: -0.01191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1582927763 to the power of 1\/3, to the nearest integer?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 2*l - 340. Suppose -x - 3*d - 35 = -5*x, -3*x - 5 = 4*d. Suppose y - 23 - 81 = -x*s, 0 = 5*s - 20. Are y and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2616157765 to the power of 1\/2, to the nearest integer?\nAnswer: 51148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-3 + 4 - -2)) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 35469, -0.44, 0.5?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201001012010220 (base 3) to base 8.\nAnswer: 46467154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -72 and -51227.\nAnswer: 3688344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 94\/(-10) - (-2)\/5. Suppose u - 150 = 6*u. What is the remainder when u\/(5\/(60\/s)) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5 = 10. Let r be (2\/(-6))\/(x\/6). Which is the second biggest value? (a) 2 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 274*i - 155*i - 27*i as u + q*i and give q.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-35)*(29 + -36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v - 28. Calculate s(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 10)\/(2\/(-18)). Let u = l + -50. Solve 5*b + u = 4*t, -6*b = -2*b + t + 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-10))\/(610\/1525)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000073590603 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62*i + 9*i - 215*i**2 - 114*i**2 + 93*i**2 wrt i?\nAnswer: -472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 5*m**2 + 2*m + 3. Calculate l(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1313203303 (base 5) in base 14?\nAnswer: 60abb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f + 3. Let p(z) = -7*z + 5. Let o(w) = 10*i(w) - 6*p(w). Let s(u) be the third derivative of u**4\/8 - 4*u**2. Determine s(o(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - sqrt(231)\/(sqrt(22)\/sqrt(2)))\/(sqrt(9)\/(sqrt(48) + sqrt(3)))*-6 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmiiimmiddi. Give prob of sequence iimi.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 > -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -k + 4*y, 3*k + 3*y = k + 52. Let b = -32 + k. Which is smaller: -4\/15 or b?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.5 (b) -0.2 (c) -2 (d) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3802 - -2008. Let f = t - -2959. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.612779 minutes in milliseconds?\nAnswer: 276766.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a6 - -2a6a?\nAnswer: 2b54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 336726 (base 8) to base 7.\nAnswer: 653516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-22) - 2898\/(-5313).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*k + 82 + 10 = z, 2 = 4*k + z. Let j = 0 - 3. Put 25, k, j in descending order.\nAnswer: 25, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -x - 3, -92 = -3*a + 4*x. Suppose w + 6 - a = 0. What is the third derivative of -w*i**4 - 5*i**6 + 26*i**4 - 6*i**2 wrt i?\nAnswer: -600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26220121 - -1?\nAnswer: 26220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y + 1 - 1)*(2 - 2 - 3*y) - 2*y**2 + 2 - 2.\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 3. Let h be u(5). Solve -5*a + 7*a = h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 42.1 (c) -1\/6 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -0.06609.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.208 - -5.208. Which is the nearest to -1? (a) -0.4 (b) m (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -209*y**2 + 37*y + 5. Let w(c) = -70*c**2 + 13*c + 2. Determine 6*f(a) - 17*w(a).\nAnswer: -64*a**2 + a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, z: 5, r: 3, t: 8, l: 1, q: 1}. Give prob of picking 1 t and 1 z.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.15789 times 359?\nAnswer: 415.68251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + c + 17*c**3 - 6*c**3 - 9*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44*y**3 - 305*y**2 + 17*y - 6811037 wrt y.\nAnswer: 132*y**2 - 610*y + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 15198*s + 10121859. Give k(-666).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 492047205?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008372414 to seven decimal places.\nAnswer: -0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(504)*4*-1)\/sqrt(12))\/(-4*sqrt(96)*-6) + -4)**2.\nAnswer: sqrt(7)\/3 + 9223\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 - 2.96. Suppose 41 = -4*z - 95. Let r = z - -169\/5. What is the biggest value in a, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1726\/7 + 246. What is the nearest to 0 in 3, -10, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 864\/(-160) + (-1881)\/(-665).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 - -142?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-56)\/567)*1400\/(-21). What is the greatest common divisor of r and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 1724*h - 1633*h + 8 + 3.\nAnswer: -3357*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - -61)\/((-6)\/(-9)). Let d = 355 + -360. What is the common denominator of -71\/6 and -1 - d\/((-210)\/v)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**5 + 2*q**4 - 496*q**3 - 58*q**2 + 29*q.\nAnswer: -60*q**2 + 48*q - 2976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 4) + 35 - (-26 + 36).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14134033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) - 1*sqrt(1872)) + 4)**2 - (-3 + (-1 + sqrt(1872))**2).\nAnswer: -1854 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5674028 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 13 = -4*x + 5*w, -4*x - 5*w = -3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 11:40 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, a: 8}. Give prob of picking 2 a and 2 p.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 642138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9*f = 50. Let o be (168\/(-60))\/((-4)\/f). Let i(j) = -11*j**3 + 7*j**2 - 9*j - 3. Let y(t) = 5*t**3 - 3*t**2 + 4*t + 1. What is o*y(c) + 3*i(c)?\nAnswer: 2*c**3 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -161*c**3\/2 + 96*c. Let a(w) = 3*w**2 + w**2 - 3*w**2. Determine b(a(y)).\nAnswer: -483*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*w + 5*w - 90 = 0, 2*i + 5*w + 50 = 0. Let o = 23 + i. Solve -2*s = o*c + 7, s - c + 3 = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 544 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 12.7. Let c = -4 + 1. Let k = 465\/8 - 58. What is the closest to 1 in c, h, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 + 0*r**2 + 496*r**4 - 494*r**4 - 85*r - 7 + 9 - r**2 to w*r**4 + g*r**2 + a + i*r**3 + s*r and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*x + 2*g = -165*x + 22, 3*g = x - 18. Let y = 0 + 5. Solve 5 = -2*f + 3*w, -3*f = -y*w + x*w - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*(20\/12)\/(-5)*972\/297.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9803484 + 9803484 + 3538*h**3)*(h - 5*h + 3*h).\nAnswer: -3538*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 308 + -304. Which is the smallest value? (a) 3\/7 (b) n (c) 5 (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b. Suppose 4*f + f + 10 = 0. Let t = f + 4. Let o(j) = t*j**2 - 3*j**2 - 2*j**2. Calculate k(o(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmmajamanmnan. Give prob of picking 1 a and 1 k.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4205*f + 58320 = -2045*f for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9 - 10 - 10 + 31 - 135*x + 148*x. Calculate b(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**3 - 8*v**3 + 2*v + 1 - v**2 - v**3 - 3*v**3 - v**3 in the form b + a*v**3 + f*v**2 + m*v and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48\/13*m + 46\/13*m**2 + 0 + 2\/13*m**3.\nAnswer: 2*m*(m - 1)*(m + 24)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.23883 and 425?\nAnswer: -101.50275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131345 and 7085.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - -2*sqrt(132)*-1 - sqrt(132) - -5*sqrt(132)*-2)\/(sqrt(48)*-3 + 1*sqrt(192)) + -1.\nAnswer: -1 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -0.3, -5, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7597.066cm?\nAnswer: 75970.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + (-5 - 1) + 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -4*g + 3*g. Suppose 0 = i - 133 + g. Suppose -3*w = -i*w - 4*w. Solve w*m + 2*m + 3*j - 7 = 0, -j = -3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2711*m - 1169*m + 215707 = -40373 for m.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1890, 20, 0.4, -1\/9, -0.2, 4?\nAnswer: 1890","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -15283.0525 to the nearest ten.\nAnswer: -15280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(1 - 2) - -1. Suppose o*z + 4*z = 32. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1183\/(-98) - -15 - (-28)\/392.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (340\/120)\/(-17)*42\/(-8). Let m(c) be the first derivative of -1\/3*c**3 - 7\/4*c**2 - 8 + c + d*c**4. Suppose m(k) = 0. What is k?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1875 and 321375?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 6*t**2 + 3. What is b(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 75*j + 316 = 0. Let u be 6\/4 + (-345)\/(-10). What is the highest common divisor of u and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 2372871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/13 - (-30)\/(-26). Let r = g + 4. Suppose -r*q - q + 28 = 0. Solve 4*a + 5 = -q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(150\/1212) + -7 + 15?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 34*r + 26*r - 95*r + 13*r.\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*t - 100*t + 79 + 116 = 0 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.1 (c) -0.046\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from gggjggggj.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1*-1)\/(((-9849)\/(-490))\/(-201))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2067 + 2066. Let j = -0.03 - 0.37. Sort -14, j, c in increasing order.\nAnswer: -14, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-4)\/8*(-2 + 8)) + -228 + 213?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Suppose -4*u = 2*g - 54, -2*u = -3*u - 1. Let b be ((-116)\/(-6))\/((-4)\/(-54)). What is the highest common divisor of g and b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 1:36 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -11. Suppose 55 = -w*y - 73. Let t = y + 160. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, a: 6, v: 3, s: 1, x: 1, w: 3}. Give prob of sequence yv.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5380 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 4*g**2 + 4. Let h(q) = -q**3 - 7*q**2 - 4*q + 8. Let m be h(-6). Let w be l(m). Suppose 5*t - 29 = -o - w, 4*o = 4*t + 4. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + sqrt(550)\/(sqrt(40)\/sqrt(4)))\/(1*sqrt(275)) + ((-2*(sqrt(720) + -4) - sqrt(720)) + -1)**2.\nAnswer: -2518*sqrt(5)\/5 + 6529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6078*a - 8663?\nAnswer: 6078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j - 7. Let x(r) = r + 1. Determine -v(g) - 6*x(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 118 = -4*c, 110719*c - 3*d - 207 = 110707*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 3. Let u be r(6). Suppose 0 = -u*w + 4 + 20. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9092386, 18184771, 27277156?\nAnswer: 36369541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 617100 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4334\/3249 + -2\/3249. Let x(w) be the third derivative of -13*w**2 + 0*w - 1\/24*w**4 + 0 - b*w**3. What is x(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 3*c**2 + 3*c - 3. Let b be w(3). Suppose -b*y = -y - 415. List the prime factors of y.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**6\/660 - 7*r**5\/165 + 71*r**4\/4 + 1716*r**3 - 4485*r**2. Factor t(f).\nAnswer: -2*(f - 52)*(f + 33)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 = -0. Suppose -5*s + 75 = 65. Is s >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 11*r**2 + 18*r - 15. What is the units digit of w(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**4 - m**3 + 1021*m + 21740.\nAnswer: 4*m**3 - 3*m**2 + 1021","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2093*o + 22885 = 525*o - 8475 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 60. Let v = h - -91. Let j = 50 - v. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*z + 3414 + 2090. Let w(j) = 3*j**2 + j - 11. Let d be w(-7). Calculate the highest common factor of d and z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**5\/15 + 29*s**2. Let w(t) be the second derivative of 35*t**4\/12 - 79*t. Calculate w(o(l)).\nAnswer: 560*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -230 - 1021?\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b - 4*b + 4*b - 3 + 3 + 3*b + (-2*b - 2*b + 5*b)*(39 + 15 - 9) to m*b + n and give m.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 2*y - 1. Suppose 0 = 2*h - 0*h - 8, 5*h - 26 = 2*b. Let l be q(b). Suppose 4*d = 13 + l. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1, -13, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/728)\/(-9)*-4*2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + y**2 + 3*y + 3. Let j(b) = -b**3 - 2*b**2 + 4*b - 5. Let v be j(-4). Suppose 16*z - 15 = v*z. Give t(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545349.\nAnswer: 3, 7, 25969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 49. Let g = p - -37. Suppose 3*c = -0*w - 2*w + 6, 0 = -5*w. Solve c*a - 3*a + 2 = g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34.78 - -3879087.\nAnswer: 3879121.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -965 - -964.9587. What is r rounded to three dps?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4705?\nAnswer: 5, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from heehe. What is prob of sequence hee?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/((f*f**1)\/f)*f*f))**(-24\/13)\/(f**(-2))**(1\/2))**(1\/7) assuming f is positive.\nAnswer: f**(61\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - ((sqrt(68) - sqrt(17))**2 + -3)) + 1.\nAnswer: -13 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -82.6 and -7630.\nAnswer: -7712.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.1, 8.5, 5, 4 in descending order.\nAnswer: 8.5, 5, 4, 0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9527*m - 1676 + 8377 + 2826 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 520 and 5200.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-17)*119\/28.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from {f: 5, l: 6, b: 1, o: 6, r: 1}.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4445 - -4444. Is o not equal to -1\/8328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 14 = -4*z, 0 = 5*z + 2*t - t + 7. Let b be -36 + 0\/(-1) + z. Let c = b - -72. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.1365\nAnswer: -0.6825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175 - 56. Let j = p - 119.5. What is the second biggest value in 0.4, 2\/3, 1.7, j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 138 + -126. Calculate the lowest common multiple of l and (18\/8)\/(6\/16).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29100 divided by -4\nAnswer: 7275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from {x: 1, b: 2, d: 14}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10110111110011?\nAnswer: 10110111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 + 0*m**4 + 3*m**3 + 3*m**2 + 2*m**4 - 2*m - 2*m**2 in the form t*m + h*m**3 + j*m**2 + w + u*m**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 275035 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**4\/4 - 6*w**3 + 45*w - 27. Let c(v) be the first derivative of o(v). Solve c(u) = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 409 = -4*u + 590, -1241 = -5*u - 4*f. What is the second derivative of -9*o**4 + 2*o + u*o**2 - 4*o**4 - 249*o**2 wrt o?\nAnswer: -156*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 3:28 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3147980203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.334 + -3.234. What is the fourth smallest value in 4, i, -7, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1.77, -1, 4, 6\/5, 24 in decreasing order.\nAnswer: 24, 4, 6\/5, 1, -1, -1.77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -8*g + 1. List the prime factors of m(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54 - -1143?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/69 and 65\/27?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n*r*y**2 - 45*n*r + 2*n*y**2 + 4*r*y**2 + r*y + r wrt y?\nAnswer: 4*n*r*y + 4*n*y + 8*r*y + r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 6*r + 8, 164 = 2*t + r. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.3, -2, -5, -3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**4 + 119*b**3 - 5*b**3 - 126*b**3 + 2*b - 3 + 2*b**4 + 5*b**2 + 2*b**4 as r*b**2 + v*b**3 + y*b**4 + d*b + k and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -363 - -356.1. Let b = l + 6.92232. Round b to 3 decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 23758293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*b**5 - 12*b**5 + 30*b**5 + (5*b**4 - 2*b**4 - 2*b**4)*(-2 - b + 2))*((0 + 0 - 1)*(2 - 6 + 3) - 4 - 3 + 5).\nAnswer: -42*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67331.\nAnswer: 11, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5181918 by 2.\nAnswer: 2590959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2\/((d\/((d**(-8)*d*d)\/d))\/d))\/(d\/d**1)**(-2\/27) assuming d is positive.\nAnswer: d**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -40998, -41878, -42742, -43584, -44398, -45178, -45918, -46612?\n\"Answer: r**3 + 2*r**2 - 893*r - 40108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d + 7 - 79. Solve 5*p + d = 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*(5 + -6 + 5). Let o be u\/(-4) + -1 - (-99)\/(-36). What is the fourth biggest value in -7, 1, 1\/4, o?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 66?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*g + 1622, 4869 = 3*b + 50*g - 47*g. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j - 5. What is g(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, -11, -59, -147, -287, -491, -771, -1139?\n\"Answer: -2*m**3 - 2*m**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12277877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/12)\/((-8)\/(-16))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -465 - -459. Let h(l) = -2*l**3 - 12*l**2 - 13*l - 65. Let w be h(o). Which is the nearest to w? (a) 3\/7 (b) -0.4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-1 - 1*-3). Suppose -16 = -j + f*s + 3, 2*j = 5*s + 41. Suppose 4*n = j + 61. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59019.5 - -59020. Let x = 6 - 5.7. Let d = x - -0.7. Which is the closest to -4\/5? (a) d (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-20)*10\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 7*p**2 - 5*p + 2. What is the remainder when a(5) is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -634374 (base 9) to base 7\nAnswer: -3130501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 2 - 12. Which is the biggest value? (a) -2\/15 (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -849 in 3, -1\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (5 - 7 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-6*sqrt(12) - (sqrt(24) + sqrt(24) + sqrt(48)\/(sqrt(18) + sqrt(2)))\/sqrt(8).\nAnswer: 279*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-32) + (-10)\/40.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**3 - 960864*h**2 - 12490556*h = 0. Calculate h.\nAnswer: -240203, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -4. Let p = -0.2 - -1. Let q = p + 0.2. What is the closest to x in 4, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-150273*a**2 + 150273*a**2 - 2*a + 897*a**3)*(6*a + 33*a - 5*a) in the form y*a + q*a**2 + i + p*a**3 + n*a**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**3\/6 + 485*g**2\/3 + 423881*g\/6 - 648795 = 0.\nAnswer: -334, 9, 1295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 98*o - 654*o + 230*o + 2804*o + 1722*o in the form v + d*o and give d.\nAnswer: 4200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/5 - 2352*q**2\/5 + 921984*q\/5 - 120472576\/5.\nAnswer: 2*(q - 392)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -641 + 671. Let l be (-3)\/(3\/(-6)*3). Suppose -l*x - i + 10 = -9, i + a = 5*x. Solve x = 3*c - 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2 + 2 + (-2 - 1 - 5)*(1 - 2 + 3))*(13*u + 21*u - 56*u)*(-2*u + 2*u - 2*u) to g*u**2 + c*u + f and give g.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -155 - -154.9. What is the closest to -0.1 in 4, k, -11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipp when three letters picked without replacement from apippiaippip?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*d + 1918*v - 1922*v, -4*v = 4*d - 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 34498858 to the nearest 10000.\nAnswer: 34500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89185192.\nAnswer: 2, 11148149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5 (b) 24 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -8*w + 11. Let a be m(9). Let j = a + 145. Suppose 0 = -2*c - 34 + j. Solve 0 = -4*h - 5*u - 20, 4*u - u + c = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a35966 (base 14) in base 5?\nAnswer: -2402242222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*(-12)\/(-9)*(-2615)\/332105?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22879\/11676 - -2\/417. Find the common denominator of f and 107\/140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 19*c + 2*c + 8*c - 16.\nAnswer: -9*c - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -29*l**2 - 2*l + 3. Let p = -19465 - -19467. What is o(p)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 506 + -505.99763. Round n to 4 dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n + 9. Let b(c) = -2*c + 4. Let s(v) = -14*b(v) + 6*i(v). What is s(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**2*o**(-6)\/o*(o*o*o**(-1\/8)*o*o)\/(o*o\/(o*(o*o**3)\/o)) assuming o is positive.\nAnswer: o**(7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -4*r + 0 + 0*r**7 + 1\/3*r**4 + 0*r**3 + 0*r**6 + 0*r**2 + 3\/56*r**8 + 0*r**5. What is the third derivative of k(w) wrt w?\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 44*s**2 + 329*s - 3752. Let p(h) = -h**3 - 44*h**2 - 331*h + 3753. Let m(n) = -3*a(n) - 2*p(n). Let m(u) = 0. What is u?\nAnswer: -25, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2\/y**1)**(-2\/5) assuming y is positive.\nAnswer: y**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64542152 to the nearest integer?\nAnswer: 8034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-13)\/7 - 63\/98)*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27048 is divided by 8948.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-27) - (80\/(-45) - 3). Solve -3*k + 8 = -v*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55981081801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 325 = -12*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 48. Suppose 4*l - 4 = u. Suppose -3 = -l*t + 3*t. Solve 4*a = 5 - t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -64*g + 654. Give z(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d*g - 136*d*o**2 + 122*d - 670*g*o**2 + 296*g + 1 wrt o.\nAnswer: -272*d*o - 1340*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*t - 5*t. Suppose h + 4*a = 26, 6*a - 3*a + 3 = t*h. Suppose -4*z - h*q + 2*q = 0, -5*z - 6 = -q. Sort -3, 0, z.\nAnswer: -3, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-678)\/(-9)*(-2670)\/(-22880). Let n = j + 12\/143. Calculate the common denominator of -29\/48 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1189, -1230, -1271?\n\"Answer: -41*m - 1148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -45*-122*((-11)\/(-5) - 2). Let y(g) = -1098*g + 3*g**2 + b*g. Let i(j) be the second derivative of -j**4\/12 - j. What is i(y(m))?\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 443 - 232. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - b + 14. Suppose -5*w + b = -v, -v + 0*w = 2*w - 7. Let g(y) = -y**2 + y. Let a(p) = -3*p**2 + 0*p**2 + 2 + 0 + 2*p**2. What is v*a(s) + g(s)?\nAnswer: -2*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 371.508 + -371.208. Let j = -2 - -3. What is the smallest value in j, -2\/23, -3\/8, g?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4, 74, 192, 358, 572, 834, 1144?\n\"Answer: 24*v**2 - 2*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 325983 and 4032?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 7*j**2 - 47*j + 31. What are the prime factors of u(13)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67.24 + -69. Let s = a - -1. Let w = s + 0.6. What is w rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000799 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 797.8 and -0.278?\nAnswer: -221.7884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 9 = 0, -4 = 2*k + t + t. What is the nearest to 2\/3 in -3, k, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -36, 73, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -495.59 - -463.537. Let k = 32 + v. Round k to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(360) + 3*sqrt(360)*-2)\/(sqrt(80)\/sqrt(32)))\/(3*sqrt(48)\/(sqrt(16)\/sqrt(4)*-6)))**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32023.711 - 32050. Round c to 0 dps.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-1 + -17 - (274 - 276)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*r**2 + 5*r**2 + 29*r**2 to n*r + w + x*r**2 and give x.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-330)*(-18)\/12)\/((-3)\/(-18))?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 13*f**2 + 14*f + 24. Let m be o(-12). Suppose m*x = -x. What is the nearest to x in 0.5, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 149*z - 5714. What is n(78)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 5*z - 1. Let p be v(-5). Which is the biggest value? (a) p (b) 5 (c) 1\/5 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12.8, -3, 0.3 in increasing order.\nAnswer: -3, 0.3, 12.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 + 5*v**4 + v**4)*(v + v - 3*v) - 694*v**5 + 264*v**5 - 252*v**5.\nAnswer: -687*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.087 - -3.987. Let f = m - -1.1. What is the smallest value in -5, f, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/2092 and 87\/1184662?\nAnswer: 1239156452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -555*y**3 - 7*y**2 + 9*y - 14. Let k(z) = 278*z**3 + 3*z**2 - 4*z + 6. Determine -7*k(c) - 3*t(c).\nAnswer: -281*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 1. Suppose -3*l = -0 - 6. Calculate the remainder when w(l) is divided by (-1)\/(-1) + 6\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 5*w**2 + 5*w + 8. Let n be t(6). Suppose -24*r = -7*r + 68. Let h be 1\/(-2) - (1 + r). What is the nearest to -0.1 in n, 21, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*c + 3 = 4*c, 0 = 4*c - 12. Suppose -10*f = -2*f - f. Solve f = -d*n + 4 - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*n**2 + 0*n + 0*n - 240*n**2 + 467*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**2 + 120*w - 260 = 0. Calculate w.\nAnswer: -26, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.7 + -5. Let t = -3.2 + 0.2. Suppose -5*a - 4*f - 24 = 0, -2*a + 329*f - 47 = 334*f. What is the closest to t in d, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1994846*o - 996498*o - 998216*o.\nAnswer: 132*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -270*j - 794. Let f be p(-3). Calculate the highest common factor of 9104 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 4, n: 2, q: 4, j: 5}. What is prob of picking 1 a and 1 j?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.28 - 2.36. Let j = 8.82 - m. Which is the third biggest value? (a) -2\/3 (b) 1 (c) 11\/4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owwowwtwttwowtwotww. What is prob of picking 2 t?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/62 and 18\/17.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**2 - 3 + 3 + 3*v**2 + v - 4*v**4 - 2*v**3 as s*v**3 + t*v**4 + x*v + z + k*v**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -1, -1\/9, -3, -4\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**4\/6 + 3*f + 5. Let g(k) be the first derivative of d(k). Let x(r) = 2*r. What is g(x(h))?\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2) + (-23 - (-69 + -31))\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7374*z + 28987. Determine i(-4).\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/166617 or -1?\nAnswer: -14\/166617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**2*c))\/c)**(-1\/15)\/(c**9*c\/c**(-5\/7)) assuming c is positive.\nAnswer: c**(-368\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 10 = -4*f + 2, 0 = -3*f + 2*w + 29. Solve 2*i - 2 = 0, c + 0 = 3*i - f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123102 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111352 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15041040 equal to 15041043?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 66?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 759 + -536. Let y = -0.259009 + -222.579991. Let d = y + w. Round d to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41495360 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 108 + 843 = 31*g. Calculate the greatest common divisor of g and 4809.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) -4 (c) 134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**5\/30 + d**4\/8 - d**3\/6 + 3*d. Let n(r) be the second derivative of t(r). Let h(i) = -7*i + 5. Give 3*h(l) - 5*n(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11189440 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swc when three letters picked without replacement from rrtssrrttsstswcss?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 43*r + 392. Let w be k(-9). Put -1, w, -8 in increasing order.\nAnswer: -8, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 17. Solve -3*o - 3 = -8*o - 3*l, 2*o = 3*l + g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 158 + -149. What is the units digit of (j - 6424\/16)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i + 6*i - 1726 = 128. Solve -465 = -71*t + i for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -825*l - 36348. Determine g(-44).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/636766151 or 1?\nAnswer: 1\/636766151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 9*y**2 - 11*y + 24. Let k be u(8). Solve -5*j - 2*a - 4 + 15 = k, -5*a + 5 = 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 b when three letters picked without replacement from {j: 1, b: 3, y: 2, m: 11, l: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 6:15 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*k = -41, -a + 4*k = -62 + 15. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113664 by 6.\nAnswer: -18944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.2 and -3298907440073.\nAnswer: -3298907440071.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 23*k**2 + 10*k + 5. Let a be y(-3). Let r = a - 122. Calculate the common denominator of 19\/162 and ((-39)\/(-182))\/(r\/14).\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(g - 2*g - g) + 1 + g - 1 + (1 + 2 - 1)*(2 - 2 + 2*g) + (-34 - 9 + 16)*(0*g + 2*g - 4*g).\nAnswer: 63*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 3. Let y be r(4). Let d(v) = 8 + y - 1 + 82*v. Let f be d(6). Round f to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 24. Solve x*m = 12 - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1311*b + 4. Is t(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -137, -226, -345, -506, -721, -1002?\nAnswer: -1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 1:17 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383977383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 14*j = w + 37, -2*j = -4*w + 28. What is the common denominator of j\/6 + 639\/(-54) and (-15)\/(-25) + (-77)\/(-80)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b - 754875. Let u(r) = r - 3. Determine p(u(y)).\nAnswer: -2*y - 754869","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from vkvhvxx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31091154, -62182298, -93273442, -124364586, -155455730, -186546874?\nAnswer: -217638018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/133 (b) -1\/53 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 5*r**2 + 4*r + 4. Let k be z(-4). What is the common denominator of -49\/24 and (-167)\/(-18) - 6\/k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, l: 2, d: 1, r: 10, e: 1}. What is prob of picking 1 l and 1 e?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-72)\/(-42) + 2\/7. Let p(s) = s**3 - 3*s**2 - 2*s. Let g(y) = -y**2 - y - 1. Let d be 14\/(-10) + (-2)\/(-5). Determine d*p(q) + u*g(q).\nAnswer: -q**3 + q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzjzjj. What is prob of sequence zz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.36 + 0.17. Let o = g + 0.23. Is 1\/2 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x + 7. Let p(w) = -6*w + 7. Let g(q) = -5*o(q) + 4*p(q). Calculate g(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593373055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 4*y + 10, -908*y + 916*y = 5*b - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**6\/15 - 49*w**5\/5 - 95*w**4\/2 + 4*w**3\/3 + 380*w**2 + 808*w. Factor d(k).\nAnswer: -2*(k - 1)*(k + 2)**2*(k + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4598016541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 135201?\nAnswer: 676005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 62896 to the power of 1\/2, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8624, 8618, 8612?\n\"Answer: -6*z + 8630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*a + 267*a - 87 = 541*a + g, 0 = 5*a + 4*g - 51 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/54*6696\/(-78120).\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 15 - -21) + -16?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 1588490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2\/9 + 32*p\/9 - 34\/9 = 0.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*y + 10, 3*t = -4*y - y + 16. Let q = 4.023 + -0.023. Let l = q + -1. What is the second smallest value in l, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24745*k*t + 1604420091*k - 4454*t wrt t.\nAnswer: -24745*k - 4454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-2)*-9*8\/30. Calculate the highest common factor of 100 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wwswwwwwwssw.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79\/1419 - 5\/43. Let u = -25 + 24. Is u greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492127 is divided by 338?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, 1, -222, 1\/6, 1\/4?\nAnswer: -222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39836 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**5\/20 - 7*j**4\/12 - j**3\/6 - 2*j**2 - 2*j. Let m be z(-7). Suppose 0 = f - m*f + 6. Solve 4*q = -17 - f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 34940, 139805, 314574, 559241, 873800, 1258245, 1712570, 2236769?\n\"Answer: -g**3 + 34958*g**2 - 2*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 474 = 3*u, -830 = u - 6*u + 5*d. What is the second derivative of 3*x**2 + u - 6*x - 163 wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b - 7. Let q be c(8). Let z = q - 6. Solve -5*t - 45 = -5*i, t + 6*i - z*i - 7 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/8)\/3*0. Solve b = -2*w - 0 + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3. Let s be 72\/(-39) + (-52)\/338. Let b(n) = -2*n + 66. Let v(c) = s*b(c) + 44*f(c). Let a(i) = -11*i**2. Determine a(v(r)).\nAnswer: -176*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 11*r + 3. Let i(y) = -y**2 - 8*y + 7. Suppose 0*p - 30 = 5*t - 2*p, -50 = 5*t + 2*p. Let n be i(t). Does 8 divide v(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-23)\/42 + (-4)\/14. Let f = k + -2\/3. Let q be (3 - -12)\/(-15) - 0. Which is greater: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -638 = 3*n + 3421. Let y = -751 - n. List the prime factors of y.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427671621 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 46432265 - 1?\nAnswer: 46432264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x + 173 + 47. Let t = -9 + 13. What is the greatest common factor of x and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9 - (1 + 4) - 4. Let t be 26\/7 - (-2)\/7. Suppose -t*v + v = o. Solve v*f = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l**5\/5 + 189*l**4\/5 + 1349*l**3\/5 - 1041*l**2\/5 - 1399*l\/5 + 156 = 0. Calculate l.\nAnswer: -5, -1, 1\/2, 12\/11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3\/j)\/((j*j*j\/(j**3*j))\/j)*(j*j*((j\/j**(2\/7))\/j)\/j*j)**2*((j*j**(-8)\/j*j)\/j*j\/(j\/((j\/j**2)\/j)*j))**(-30) assuming j is positive.\nAnswer: j**(2362\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 8*h**3 + h**2 + h. Let d(y) = y**3 + 7*y**2 + 2*y + 13. Let r be d(-7). Determine f(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 727.\nAnswer: -8\/727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -1. Let f(u) = 7 + u + 6 - 7. Let w(i) = -6*a(i) - f(i). Let o(c) = 2*c**2 + 0 + 0 + c**2. What is o(w(h))?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8410?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**4 - 2*p**4 - p**4 + (-p**2 + 0*p**2 + 4*p**2)*(5*p - 3*p + 599*p**2 + 118*p**2).\nAnswer: 2153*p**4 + 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9867 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 10*x**2 + 7. Let s be l(10). Let y(t) = 9 + 8 + 26*t - 1 - 4. Is y(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 32, -96*x + 91*x - 4*h = 12. Factor -4\/7*i**2 + 0*i + 2\/7 + 0*i**3 + 2\/7*i**x.\nAnswer: 2*(i - 1)**2*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 10*g = -8. Suppose -4 = -3*y + 2*h, -g*y + 3*h - 6 = 6*h. Solve 0 = -2*v - y - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13470, 26938, 40404, 53868?\nAnswer: 67330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 - 91*b**4 - b**2 + 86*b**4 - b**3 + 3*b**2 - 3 to v*b + y*b**3 + i*b**4 + s*b**2 + j and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 12a337a0?\nAnswer: 12a337a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 970897 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-2\/7))\/z*z*z*z)**(-4)*z**(4\/3)*z*z**(-5))**(-5\/6) assuming z is positive.\nAnswer: z**(710\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*y + 18, 2*h - 3*y + 2*y - 10 = 0. Suppose -h*d + 1099 + 5305 = 0. Suppose -2*n + d = 415. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 6*k + k - 4 = -k, -5*b + 9 = -4*k - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 2*q**7\/21 - 5*q**3\/6 - 6*q. What is the second derivative of z(l) wrt l?\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00336103 rounded to five dps?\nAnswer: -0.00336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-4))\/(((-14025)\/(-1500))\/(-187)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.2480557 milliseconds?\nAnswer: 248.0557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 190 + -178. Let o(i) = i**3 + 6*i**2 - 9*i + 4. What is the smallest common multiple of w and o(-7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 48, 2, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*d + 26. Suppose -y + d = y. Suppose -a + y*a = 20. What is the lowest common multiple of a and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -2*sqrt(80) + 3 + sqrt(80) + -1 + sqrt(80) + 3)**2.\nAnswer: 40*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 6*w**2 + 7*w. Let s be h(-1). What is the fourth biggest value in s, 6, 0.2, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171454 is divided by 228.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -12*s**2 - 3. Let r(h) be the second derivative of -h**4\/3 - h**2\/2 + 1091*h. What is 8*r(o) - 3*t(o)?\nAnswer: 4*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123 or 0?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11212011 + 110?\nAnswer: -11211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 60441 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - ((-4)\/(-14) - 3333\/77). Calculate the highest common divisor of 19 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 45 = -5*l, -228 = 2*l - 5*c - 199 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sz when two letters picked without replacement from {j: 1, v: 4, s: 2, z: 2, u: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h - 8. Let b be q(4). Let o = 17 - b. Let k be (-4 - 0 - o)*1. Which is greater: k or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7872.13 micrograms to milligrams.\nAnswer: 7.87213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -23. Suppose j - q + 10 = 0. Suppose -x + 5*w - j - 11 = 0, -2*x = 5*w + 16. Are x and -14 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**6\/360 + 7*k**5\/120 - k**4\/8 + 2*k**3\/3 + 5*k**2 - 7. Let j(m) be the first derivative of d(m). Give j(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1 - 13 + 3 - d. Let i be h(-5). Let y be 0\/(i + (-4 - -6)). Which is the biggest value? (a) y (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -3a099b6?\nAnswer: 3a099b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-1*sqrt(190) + sqrt(190) + sqrt(190))*3)\/(-3*(sqrt(10) - (sqrt(10) + (sqrt(100)*-2)\/sqrt(10) + sqrt(10)))))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - 981 - 6*m + 928 + 10*m.\nAnswer: m - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**4\/4 - 7*z**3\/3 + z + 21. What is the hundreds digit of i(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from pozpapnnap.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -1\/4, 0.184, -1, -4, -775\/6?\nAnswer: 0.184","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117750071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 23*r - 17. Let l(x) = x**3 + 7*x**2. Let k be l(-7). Suppose 0 = -z - 4*z - 2*s - 166, -s + 2 = k. Let g(m) = -4*m + 3. Determine z*g(y) - 6*o(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1, -122 in ascending order.\nAnswer: -122, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100111000101010110 (base 2) in base 14?\nAnswer: -adc34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 8, 28741 in descending order.\nAnswer: 28741, 33, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -54*g - 25. Give p(2).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*m**2 - 121*m + 4085?\nAnswer: 12*m - 121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660) - (sqrt(660) - sqrt(660)*2))\/sqrt(12) + sqrt(165)\/(sqrt(9)\/sqrt(3)))\/(sqrt(1584) - -3*(-2*sqrt(1584) + sqrt(1584))) + 5.\nAnswer: -sqrt(5)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-715)\/(-2574) + 3\/(-18). What is the nearest to 0.1 in m, 3, -4\/5, 117?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 165 = -10*l. Let s be ((-22)\/l)\/((-2)\/10). Which is the third smallest value? (a) -0.3 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3182581077?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**2 - 760*h + 373368 = 0.\nAnswer: -662, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.063901263\nAnswer: 0.0063901263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.9 - 1.8. What is the second smallest value in 1, c, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -6*f**2 - 8*f - 16. Let h(y) = -y**2 - y - 2. Let n(r) = 8*h(r) - u(r). Let b(l) = -31*l. Determine n(b(c)).\nAnswer: -1922*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*h = -6, -3*d = -6*d + 2*h + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*u + 39*u - 3*c + 217, u = 3*c + 29. Let b = u + 52. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000056378 to 7 decimal places.\nAnswer: 0.0000564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 10*c - 2. Let a = 55 - 51. Let s(w) = 20030 - 20030 - a*w. Determine p(s(h)).\nAnswer: -40*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 186250212?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.21 + 0.21. Let g = 12 + d. Let o = -24 - -20. Put 0, g, o in descending order.\nAnswer: 0, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110 - 101. Let f(g) = g**2 - 7*g - 13. Determine f(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4 + 261*f**4 + 45 - 5*f**2 + 1494*f**4 + 1515*f**4 - 817*f**4 wrt f?\nAnswer: 58872*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5327847884.\nAnswer: 2, 1331961971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 60839 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. What are the prime factors of ((-1)\/i)\/(6\/(-84))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3110901164 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6407.\nAnswer: 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/5124 and -157\/5124.\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times -62?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 + 2 = 24*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (5 - 2) - (38 + -24)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20176992 and 5502816?\nAnswer: 60530976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -7 (c) 0 (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13868 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 22*w + 2*w + 55. Which is the smallest value? (a) -3\/7 (b) -5\/6 (c) 1\/3 (d) 8 (e) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_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: Let z = 4727\/8 + -591. Let k = -0.1 + 3.1. Which is the second smallest value? (a) k (b) z (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s. Let v(r) = 9*r - 33. Let l be v(2). Let k(q) = 7*q. What is l*j(b) - 6*k(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5706 less than -3.8?\nAnswer: -3.2294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5) - (-29)\/35. Sort k, 0.02, -0.3 in descending order.\nAnswer: k, 0.02, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -154*v*w**2 + 30*v*w*x + v*w - w**2*x + 3*w wrt w?\nAnswer: -308*v - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((19\/((-798)\/21))\/(7\/1))\/((-8)\/(-7)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*x**4 + 525*x**2 - 187443*x.\nAnswer: 864*x**2 + 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 2:32 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.58 + -0.5. What is the third smallest value in 5, -1\/5, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 555 - 395. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 77*w**3 + 6*w**2 - 2*w. Let g(p) = 74*p**3 + 5*p**2 - 2*p. Calculate -6*g(v) + 5*l(v).\nAnswer: -59*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -193 - -208. Suppose 3*n = 7*l - 8*l + 610, c = -3*n. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1359481425?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 277797 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k**3 - 3*k**2 - k - 2. Let g be b(-2). Suppose 3*p = 2*p + g. Let d = p + 9. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, b: 1, p: 1}. What is prob of picking 1 b and 1 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 5 = 3*j + 8, -5*g - 7*j + 101*j + 94 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2093209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Suppose 4*n - 6 = -v*i, -5*n - 1 + 11 = 2*i. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 0.1, -5, 3\/8, 125.1, -0.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**3 + 837*y**2 - 1686*y = 0 for y.\nAnswer: -281, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*3*-4*3)**2 - (sqrt(637) + 5 + 2 + sqrt(637) + 1)**2.\nAnswer: -224*sqrt(13) + 1362076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4277189 + 8653*h**2 + 4277189.\nAnswer: 8653*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 14*q**2 + 24*q + 10. Let n be u(12). Let h(r) = 7*r**3 + 4*r**2 + 22*r - 13. Is h(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 8a2e?\nAnswer: 8a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-4) + 1*6. Suppose -3*q + f - 4 = -4*q, -q + s*f + 4 = 0. Let w = -145 - -147. Solve -w*u - q = -0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Suppose w + k*w = 8. Suppose 0 = 3*b - l - w, -3*b - 4*l + l = 12. Is -1\/6 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000235 rounded to seven dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 190\/(-76)*19596\/(-10) - 1. Calculate the highest common divisor of 62 and x.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8 = 0, -2*k + 8 = 2*i - 6. Suppose -4*x + 3 = -i. Suppose x*m + 130 = 4*m. 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 doowwdoqod. Give prob of picking 1 w and 3 o.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.00001548 - -12. Round k to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1727 + 142 = 7*p. Suppose -4*n = -3*b - p, -22*b = 2*n - 20*b - 144. Is 23 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -4*b**5\/5 - 9*b**3 - 19. What is the third derivative of h(j) wrt j?\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/24 and 65\/29748.\nAnswer: 59496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b = -212 + 169 + 214 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4065, -16197, -36397, -64659, -100977, -145345, -197757, -258207?\nAnswer: -326689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 2*k - 7. Suppose -4*w = 8, -4*w + 2*w = 2*i - 76. Suppose 0 = 6*d + 2*d + i. Give h(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o + 19. Let v(s) = 8*s - 56. Let p(x) = 14*l(x) + 5*v(x). Let m(q) = q + 9. Let w(u) = -8*m(u) - 5*p(u). What is the units digit of w(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, -14, -3 in decreasing order.\nAnswer: 8, 0, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/3, -2475\/2, 30, 1, 2\/9, 5\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 times 6004.15?\nAnswer: -198136.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/1099 in -5, 1\/6, -97, -2\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -307289*r**2 - 178694*r wrt r.\nAnswer: -614578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s. Let m(q) = -7*q**2. Determine m(y(t)).\nAnswer: -343*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*k - 43*k + 2*l - 11 = 0, 4*l = 3*k + 9. Are 15\/224 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, c: 1, q: 4, n: 3, v: 2, i: 4}. Give prob of picking 1 n, 1 y, and 1 q.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1176531890 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*h + 982 = 2*i, 0 = 2*i + 3*h - 397. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (39 - (56 - 23)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100100 + 111001001011110001110?\nAnswer: 111001001011100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42841 divided by -25445.\nAnswer: 42841\/25445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 6 - 1 + 6*s.\nAnswer: 6*s - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -544 - -1?\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)*m**15*m*m**(-3)*m**(6\/5))**32 assuming m is positive.\nAnswer: m**(1952\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*z - 23. Let c = z + 1. Calculate the highest common divisor of c and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/19922 and 79\/19922.\nAnswer: 19922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80.926 - -81. Let l = -0.044 + g. Let q = -0.28 - 3.72. What is the second smallest value in -5, l, -0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 559886.3 litres to millilitres.\nAnswer: 559886300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p - 5*p - 312*p**3 + p.\nAnswer: -312*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-180)\/(-15) + 1 + (-2)\/2. Which is the nearest to -1? (a) 2\/9 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120699750?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - 6*x + x)*(9 - 10 - 21 + (-1 + 1 - 2)*(-3 + 1 + 4))*(3 - 2 + 1) as v + o*x and give o.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2. Let s be (1 - -5 - 1) + -1. Let l(y) = -y**2 + 4*y + 5. Let o be l(s). Let h(u) = -3*u**2 - o*u + 5*u. Give h(q(p)).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/2 + 5\/6. Let u(j) be the first derivative of -2*j - 2 - j**2 + v*j**3. Calculate u(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 + 33. Let f = t + 28. Find the third derivative of 7*j**4 + 4*j**4 - 12*j**4 + 7*j**2 - f*j**2 wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16405 - 6026. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 - (-48)\/(-7)) + 17*(-2)\/(-7). Let s(d) = 8*d + 1. Let n(v) = -v + 2. Let u be n(-5). Let k(i) = -9*i - 1. Determine c*k(a) + u*s(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65678 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*n - 88*n - 91*n = -80 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/(-20))\/(3\/(-12)). Suppose 2*j + 1 = -3, -x*i + 5*j = -1093. Suppose 4*d - i = 163. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-6))\/(50\/30). Solve 0 = 4*i + i + 3*q - 8, 2*i - 3*q + t = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + -101552?\nAnswer: -101534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.99 - 12.99. Sort -0.1, -2\/3, q, -1 in ascending order.\nAnswer: q, -1, -2\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6832? (a) -375 (b) 0.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 10:31 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 35. Suppose -u*k - 486 = 4*v, 0 = 2*k - 3*v + 142 + 34. Is k at least as big as -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -5. Let a be 4\/t + 19\/(-3). Let x be -3*7\/14*4. Is x >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -3. Suppose -2*y = g*y. Solve 0 = -3*r + 3 - y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 26. Solve 2*m + 7 + v = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 818932 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -188 by 1.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*p - 671247 = -9*p. What are the prime factors of p?\nAnswer: 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.483415 + -0.451. Round v to three decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (12 + 10 + -16)*6722\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -1. Let i be 4 + -4 + u + 4 - -5. Suppose -3*b - 3*n + 21 = 0, 0 = -5*b + n + 4 + i. Solve 2*s + b*s + 10 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 - 2*n - 6. Let s = 19 - 23. Let h(y) = 7*y**2 + 3*y + 13. Let f(j) = s*h(j) - 9*p(j). Calculate f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 38*d - 61. What is the tens digit of z(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -191 + 2481\/13. Which is the second biggest value? (a) 0.3 (b) v (c) 0.1 (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*x**2 + 25*x**2 - 3607*x + 106*x**2 + 52*x**2 + 1803*x + 1803*x.\nAnswer: 139*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21533?\nAnswer: 61, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.12 or 485919?\nAnswer: -3.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3695985 - 9962252. Let g = b - -8806267. Round g to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 - (1 + 11))*(-4 - -2). Suppose 5*a - 23 + j = 0. Let u(i) = i**3 + i**2 + 2*i + 2. Calculate u(a).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.668399 rounded to four decimal places?\nAnswer: -0.6684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 192 - 180. Solve -25 = 4*d + 5*x, 2*d + 5*x + b = -13 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b - 40. Suppose -34291*y - 42 = -34284*y. Give q(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 2. Let m = 18 + -38. Let i = -15 - m. Suppose -i*g = 2*g. Give d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1482)\/120)\/19 + 1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 l when three letters picked without replacement from {a: 2, b: 1, m: 7, l: 8, s: 2}.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 63.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 24 = -3. Let f(c) = -2*c + 3. Let u be f(-3). Let y(i) = -u + k*i - 12*i + 2*i. What is y(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 397591*l**3*x**3 - l**3*x - 3392*l*x**3 + 3*l*x - 5*l wrt l?\nAnswer: 2385546*l*x**3 - 6*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 50818*m + 203267. What is k(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -36821156.67?\nAnswer: 36821157.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (141\/(-940))\/(9\/(-10)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t + 1. Let d be p(-1). Let k(o) = o + 8. Let l be k(-5). Suppose -n - 22 = -3*n + 2*m, n - d = l*m. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43504*y + 5 + 0 + 21746*y + 21745*y - 5.\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 17*n - 36. Let x be m(-13). Suppose -x*k + 0*k = -64. Solve -5*s - 4 = 2*z, -5*s - k*z + 2 = -0*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*v**3 - 1113 + v**2 + 1114 - 86*v**3 in the form d + b*v**2 + m*v + q*v**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(3\/7)*o)\/o)**34\/(o**(2\/29)*o\/(o\/((o\/(o\/(o**(-2\/21)\/o)))\/o))))**(-24) assuming o is positive.\nAnswer: o**(-11552\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-100)*(-30)\/2*335\/603.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 j when two letters picked without replacement from qyyxlmj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 2. Suppose 2*h - 60373 = -a*p + 13627, 0 = 5*p. What is h rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*u - 324*u + 652*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395173156.\nAnswer: 2, 7, 14113327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7039624284 by 4.\nAnswer: -1759906071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 - 4*u + 3. Let l be (-190)\/(-152) + 26\/(-8). Let c(k) = 21*k**2 - 21*k + 15. Give l*c(t) + 11*b(t).\nAnswer: 2*t**2 - 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p + 1. Let o be f(-1). Suppose -2*c + 12 = d, -2*d + 46 - 12 = -c. Let t = d - o. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*r*x*y - 531*r + 1034468*x*y - 1907*x wrt y?\nAnswer: -2*r*x + 1034468*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/20*1)\/(3\/45*(-17)\/(-34)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d - 1. Let u(k) = -4*k - 1. Let x(p) = -5*m(p) - u(p). Let o be (4\/(-3))\/((-3)\/(-27)). List the prime factors of x(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.24 and -32.6?\nAnswer: -7.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2 + 2*o + 0*o + 0*o - 3*o. Let i be t(-2). Suppose -3*v = 5*j - 2470, j + 5*v - 514 + 42 = i. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2 - 1\/2*d**2 + d.\nAnswer: -(d - 3)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43281?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 25, -367 in descending order.\nAnswer: 25, 2, -367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -28*f**2 - 3*f + 11. Let g(b) = 10*b**2 - 1. Let j(h) = -4*g(h) - y(h). Let v(i) = -18*i**2 + 4*i - 10. Determine -7*j(r) + 5*v(r).\nAnswer: -6*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*l - 4. Let d(v) = -v**2 + 5*v + 1. Let h be d(4). Suppose 5*b - 40 = -3*t, h*b - t - 10 = l*t. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 152 - 78 - 79 - 8*l**3 - 4*l**2 wrt l.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*j - 25 = -49*j + 5*f, 2*f = -10. Solve 0*w - 4*w = -5*x + 15, j = 3*w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 950021.4 millennia in centuries?\nAnswer: 9500214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + n + 5. Let f = -560 - -560. Solve -2*k + 3*k - n = f for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*t - 7, 17 = 4*r + 2*t + 3. Suppose d + 10 = -4*b, r = 3*b + 11. Let u(c) = -4*c - d*c + 2*c. Let q(x) = 2*x. Calculate q(u(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*i**2 + 11*i**2 + 5*i**4 + 11*i**2)*(2 + 0 + 0) - 2*i + 2*i**4 + 2*i as r*i**2 + l*i**4 + m*i + z + d*i**3 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -3, 984, 2, 0.1 in increasing order.\nAnswer: -3, 0.08, 0.1, 2, 984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -4)*(-22)\/605. Which is smaller: k or 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m. Let c(b) = 35*b - 1. Let k(x) = c(x) + 6*u(x). What is the units digit of k(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1407 + -4*(-18)\/(-12) - 0.\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2093\/9 + -2090\/9. Factor 2\/3*r**2 - 1\/3*r**3 + z*r - 2\/3.\nAnswer: -(r - 2)*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 0 - (132 - 110).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -28 (c) 69909\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1792)\/6)\/(-7)*(-13 - -10). Let b be c\/(-8) - (5 - 5). Solve -h = 3*h + b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*q = -3*s + 33, -4*s - q = -37. Suppose -2*y - s = -3*y. Suppose 2*i = 3*x + y, -3*i + 5*x + 17 = 4*x. Solve 4*p - i*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - d**2 + 25*d**3 - 34*d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 8. Suppose -3*c - 15 - 19 = q, 3 = -3*q. Let p be b(c). Suppose -g + 29 = 3*z - 0*z, -p*z = 3*g - 57. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.91 - -0.09. Let l = -7344 + 7344. Which is the closest to l? (a) d (b) 1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 844499*m**2 - 1688991*m - 2533491.\nAnswer: -(m - 844497)*(m - 3)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 91*k - 56. Let i(f) = 3*f - 2. Let y(n) = g(n) - 28*i(n). Let o(d) = -32*d. Calculate o(y(s)).\nAnswer: -224*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*p - 25, -5*r - 2*p - 9 = 1. Suppose 3*k - 8*k + 175 = r. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4\/1123?\nAnswer: 4\/1123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b - 1. Let l be h(-1). Let m be (2*-1)\/(-7*3). Which is greater: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1, -3, 1705, 0.5, 18 in ascending order.\nAnswer: -3, -1, 0.2, 0.5, 18, 1705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 85927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1933 + 1321.5. Let r = t - -611. Which is the third smallest value? (a) r (b) -2 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24 + -14)\/(1\/(-30000) - 0). Round w to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56 + 58)\/((-5)\/5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52909 = 39*w - 1184. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Let r = -6 - w. Let c = 1 - r. Solve -2*n + c + 1 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 225*t**3 - 10*t + 209*t**3 + 2*t**2 - 636*t**3 - 72 + 204*t**3 in the form b + h*t**3 + z*t**2 + m*t and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -25c16 (base 16) to base 13\nAnswer: -5550b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00598 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (28\/(-6))\/(2\/15). Let u be (-55)\/k - (-18)\/42. Solve 7*i - u*i = -3*p, 4*i = 3*p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, -1255, 2\/7, -0.3, -3 in increasing order.\nAnswer: -1255, -5, -3, -0.3, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/2310)\/(2\/(-11))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 + 0*k**3 - k**4 + (-2 - k**3 + 2)*(-2*k - k + 4*k) + (-k - k - k)*(-6 + 6 - 4*k**3).\nAnswer: 10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r + 865 - 760 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.195+-12.39\nAnswer: -12.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - c - 1. Let v(z) = -z**2 - 109*z - 2939. Let h be v(-60). Let u(k) = -54*k**3 - 3*k - 3. Give h*u(o) - 3*g(o).\nAnswer: -51*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6263536*j**2 + 4145903 with respect to j.\nAnswer: -12527072*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 398 - 122. Let v = 284 - j. Let o = -3.03 - -0.03. Which is the biggest value? (a) 1\/4 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*v = -5*o - 471, 2*v - 516 = -4*o. Differentiate 50*l**3 - v - 94*l**3 - 2*l + 21*l**2 - 21*l**2 wrt l.\nAnswer: -132*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2129 - 55*c**3 - 2129 - 2 + 2*c**3 - 1 - 2 + (-4*c + 4*c + 4*c)*(0*c**2 - c**2 + 0*c**2) - 2 - c**3 + 2 as z*c**3 + k*c**2 + w + s*c and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 387.654 times 0.2\nAnswer: 77.5308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 4, -9\/4, 17?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Let k = -0.02 + -0.28. Let q = k - i. Is q bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 224\/(-105000)*1805\/(-722).\nAnswer: 2\/375","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*c = -16, 0*k = 3*k + c - 15. Suppose k*o - 167 + 55 = 0. Solve o = b + 6*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1369, 1374, 1377, 1378, 1377, 1374?\n\"Answer: -u**2 + 8*u + 1362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**2\/2 + 4*b - 1. Let z be i(-3). Factor 2*n - 4*n**2 + 2 + 2*n**5 - 1 + 2*n**4 - 4*n**3 + z.\nAnswer: 2*(n - 1)**2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95.6 + 4.6. Let y = 91 + t. What is the closest to 1 in 5, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 93105138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**1)*j)**(-7\/5)\/(j**7*j**7\/j*j))**(-38) assuming j is positive.\nAnswer: j**532","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*u**2 + 2*u + u**2 + 0*u + 26*u**2.\nAnswer: 50*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176566, 353140, 529718, 706300?\nAnswer: 882886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6 - -259 - -8*(-1)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 6 = -16. Find the third derivative of -18*w**6 + 257*w**2 - 130*w**y - 97*w**2 wrt w.\nAnswer: -2160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) + -1 + sqrt(1584) + -4.\nAnswer: -5 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209607, -209608, -209617, -209640, -209683, -209752, -209853, -209992?\nAnswer: -210175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1835 is divided by 39?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2069835521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 8 (b) 0.3 (c) 1\/4 (d) 0.337\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 56190.3 meters?\nAnswer: 5619030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 + 35. Let o = 72 + q. Let b = o - 29.4. Round b to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -497 - -530 - (-1 - -25) - 17\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 928*t**2 - 11660*t + 636400.\nAnswer: -4*(t - 20)*(t + 37)*(t + 215)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-4))\/(-7)*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101 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: Suppose 20*h - 18*h - 8 = 0. Let q(x) = x**3 + 4*x**2 + 4*x + 3. Let n be q(-3). Suppose n = -c + u + 5 + 5, 3*u = -3*c + 60. Solve -l = h*l - c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 13*u**2. Suppose 0*f - 19*f = -57. Let p(t) = 6*t**2. What is f*s(o) - 7*p(o)?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*i**2 + 398*i**2 - 197*i**2.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 9. Suppose -4*i = 3*w - 177, 5*i - d*i - 169 = 5*w. Let j = i - -17. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11335863907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*f = 38, -4*z - f + 31 = -0*z. Calculate the remainder when 32 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + 3 - 2 + 0*g + 0*g - 2*g + 5*g + 2*g + 1 - 1 + (-2 + 4 + 4)*(1 + 2*g - 1).\nAnswer: 18*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 4 = 3*t, 0*t - 13 = -5*m - 4*t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2264391 divided by -311\nAnswer: -7281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/4 + 5449401*m + 21797601\/4.\nAnswer: 3*(m + 1)*(m + 7265867)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k. Let x be l(-2). Suppose -x*v + 4*c = 0, 9*v + 5*c = 4*v + 15. Suppose 0 = -0*w - 5*w + 10. What is the highest common factor of v and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**5\/2 + 3705*d**4\/2 + 763845*d**3 + 105661935*d**2 + 418079475*d\/2 + 208279593\/2.\nAnswer: 3*(d + 1)**2*(d + 411)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7904 = 104735*z - 104319*z for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-88)*(-8)\/(-25)*(-15)\/6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 78 = -6. List the prime factors of q\/2 - (-10 + 4\/(-2)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 3799440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2 = -2*m. Let i(g) = g - 8. Let b(u) = -1. Determine m*i(y) + 5*b(y).\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggnnggggggggnn. Give prob of picking 3 g.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times -1.5\nAnswer: 1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h = -2*z + 1072, -3*z + 6 = 0. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -845 and -44130.\nAnswer: 37289850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1100) + 2 + -2 - sqrt(1100)*1*5) + 5 + 0)**2.\nAnswer: -400*sqrt(11) + 17625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0.5. Suppose 3*k + 8 = k. Let f = 1.0736 + -1.0236. What is the closest to 0 in k, f, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 36 + i + 33. Suppose 2 = 5*g + u, 5*g + 2*u = -3 + 2. Let p be (-1 - 4) + 0\/g. What is k(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -6*a + 25. Suppose -5*b - 230 = -3*k - 65, -b - 55 = -a*k. Let q = 86 + b. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/8)\/v**(-2))**(2\/7) assuming v is positive.\nAnswer: v**(17\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, j: 7}. Give prob of picking 3 j and 1 v.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -13227.\nAnswer: -13232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o + 6*o**4)*(o + o - 3*o) + 16*o**3 - 29*o**3 - 23*o**5 + 10*o**3.\nAnswer: -29*o**5 - 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 5 + 25*g - 4 + (1 + 3 - 3)*(-5*g + 2*g + 5*g).\nAnswer: 27*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -20. Suppose -12 = -d*i + 3*i. Suppose 6*p - p + 20 = 0, i*o + 2*p + 5 = 0. Which is the closest to 0.1? (a) o (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1483 = 5237. Suppose 0 = k + 3*k + z. Round k to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 3, 7, -3 in increasing order.\nAnswer: -4, -3, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5\/7, -2, -1\/4 in increasing order.\nAnswer: -2, -5\/7, -1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 2*y**3 + 57. Let a(b) = 4*b - 6*b + 2*b - b**2. Give c(a(r)).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527189?\nAnswer: 13, 107, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -981*v - 223 - 1598 - 126 = 996 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -59 and -1317.\nAnswer: 77703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 11:34 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -39. Let t be (u\/4 + -5)*-11. Let k(s) = -5*s**3 - 2*s. Let z(w) be the first derivative of -7*w**4\/2 - 5*w**2\/2 - 1. Give t*k(c) - 4*z(c).\nAnswer: c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4*(sqrt(17) - (sqrt(17)*2 + 4)) + 3) - ((-3*sqrt(51) - sqrt(51))*-3 - sqrt(51))\/(-1*(2*sqrt(3) - sqrt(3))))**2 + -3.\nAnswer: 5460*sqrt(17) + 26906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.3, 7, -2 in decreasing order.\nAnswer: 7, -0.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 194.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1123268762*t**4 - 2702936*t**2 + 69*t.\nAnswer: -26958450288*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 15450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgybyybhhy. What is prob of sequence ygcb?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**7\/560 - a**5\/160 - 155*a**2. Factor o(b).\nAnswer: 3*b**2*(b - 1)*(b + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 11, s: 5}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -533, -2650, -6179, -11120?\n\"Answer: -706*r**2 + r + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67818 and 275336?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u - 78. Give r(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8883 and 2679159.\nAnswer: 1133284257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 b when three letters picked without replacement from {b: 2, l: 9, r: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4 + 100481*v**3 - 4724640*v**2 + 17692756*v - 17290816 = 0. What is v?\nAnswer: -100528, 2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14029424 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 4*i**2 - 10*i + 8. Let h be x(-6). Let d(v) = -v**2 - 1. Let n(z) = -3 + 3*z**2 + 9*z - 9*z - 2*z**3 - 7*z**2. Give h*d(l) + n(l).\nAnswer: -2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10615*d + 637104 - 637104)*(-5 + 5 + d**2) as u + v*d**2 + o*d**3 + t*d and give o.\nAnswer: -10615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -100 (b) -53728 (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*o - 6*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -11\/24*o**4 + 67\/6*o**3 - 7*o**2 + 0 + 0*o. What is the derivative of q(c) wrt c?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 103?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -46*w**2. Let k(r) = 224*r**2 - 66. Calculate k(p(c)).\nAnswer: 473984*c**4 - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36.9 + 11.1. Let f = 65.47417 + -17.47575. Let t = y - f. Round t to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + b - 313723, -5*j + 251441 = -b - 62286. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/9456 and -17\/224.\nAnswer: 132384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -75*a + 2. Let p(f) = -f**3 - 74*f + 3. Calculate -3*o(x) + 2*p(x).\nAnswer: -2*x**3 + 77*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 80.6 - 30\nAnswer: 50.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2696 = -2*h + 3*h, -4*c = -4. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 7:05 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 1. Let t be q(-1). Suppose 11*k - 4*k = 14. Sort k, t, 3.\nAnswer: t, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-8)\/(16\/(-4)). Let l be (-4)\/((-1 + f)*1). Is 2\/l - (-249 - 7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -62573 + 2?\nAnswer: -62571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6*n = -5*n. Let m be (-34)\/(-3)*-1*(n - 6). Which is smaller: m or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2803 - 1907. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 660?\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*x - 22594 = -0*b, 3*b + 13556 = -2*x. Let t = b + 1206304\/267. Let c = -3455\/2136 + t. What is the common denominator of 65\/9 and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13722 - 9204. What are the prime factors of j?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/3 + 7\/(-3). Let m(y) = -1. Let q(j) = 32*j - 7. Let z(i) = 4*m(i) - q(i). Is z(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*(sqrt(112) + -6*(sqrt(112) + 1) + -3)**2.\nAnswer: 2880*sqrt(7) + 23048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 3:01 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o - 9. Let i be -18*((-8)\/(-3) + -3). Let l be p(i). Suppose 8*j = l*j - 84. Calculate the highest common factor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s + 67. Let o be y(-14). Let h be ((-38)\/(-19))\/(1*o\/(-3)). Solve -11 = -h*m - 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-8 - 256\/(-12)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 9. Let s be r\/(-22) - (-36959992)\/44. Round s to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 8*i - 5. Let x be w(5). Let p = -8 - x. What is the highest common factor of p and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*q = -41 + 5441 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhyphmpggphu. What is prob of picking 2 p, 1 h, and 1 u?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 10*l = 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 136 - 128. Suppose -3*w - 4*d + 554 = 0, 13*w - 4*d = a*w + 966. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**5\/110 + u**4\/33 + u**3\/33 + u + 6. Factor n(k).\nAnswer: 2*k*(k + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416*a + 324 = 419*a. Calculate the highest common factor of a and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.28 + -0.18. Let s = 1 - 1. What is the biggest value in -1\/5, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**4\/12 - 2*k**3 + 5*k**2\/2 + k. Let p be -5 - (5 - (-8 - -6)). What is the lowest common multiple of 10 and f(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**8\/168 + i**4\/12 + i**2 - 4. Let m(j) be the second derivative of s(j). What is the second derivative of m(g) wrt g?\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 19756086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -765 divided by 928\nAnswer: -765\/928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -20709 divided by -6218?\nAnswer: 20709\/6218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.506 - 246.506. Let p = h - -246.0000055. What is p rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1350828 and 300184.\nAnswer: 2701656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/385 and -73\/14300.\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1476709064?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1439331985?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2 + 0*l + 4*l - 10*l. Let t(o) = o - 1. Suppose 2*f - 2 = 2. Suppose -f*b = -7*b - p + 23, -3*b = 5*p - 27. Give b*t(w) + z(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 0*a**2 + 0*a**2)*(1 - 3 + 3)*(-36 - 11 + 6)*(-2*a + 0 + 0)*(4*a - 3*a + 0*a).\nAnswer: 82*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -38*b**2 + 13*b + 13. Calculate v(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20446 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.50033006 take away 0.0644?\nAnswer: -5.56473006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 142 and 151?\nAnswer: 21442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -22. Calculate the least common multiple of 2 and (0 + -3 - -2)\/x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 356, 339, 324, 323, 348, 411, 524, 699?\nAnswer: 948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478 = -56*o + 295*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 8*(0 + (-36)\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*((1 + y - 1)*(0 + 3 - 1) - y + y - 5*y - 2*y + 4*y + 2*y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34102?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 93 = 21. Calculate the least common multiple of b and -2 - (-5 + 4) - -25.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -421? (a) 0.2 (b) -1.6 (c) -3\/8 (d) 2\/941 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(18)*-3)\/sqrt(9))**2 - (-3 + sqrt(10)\/sqrt(5) - (-5 + sqrt(32)))**2) + -2.\nAnswer: 12*sqrt(2) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11581 - -23943. What are the prime factors of g?\nAnswer: 2, 7, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000609148416 to six dps.\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 r when four letters picked without replacement from {q: 2, f: 1, n: 3, r: 6}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 331705421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x**2 - 69786. Let d(i) = i. What is z(d(n))?\nAnswer: -6*n**2 - 69786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1170 and -113\/90?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.56 * 0.0519.\nAnswer: -0.496164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3\/(f\/(((f\/(f\/(f**(2\/5)\/f)))\/f)\/f)))\/(f**11*f**(-3)))**(4\/21) assuming f is positive.\nAnswer: f**(-172\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -336*i**4 + i - 235 wrt i.\nAnswer: -4032*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 2*o - 1 - 4025*o**2 - 4305*o**2 - 3*o + 8320*o**2.\nAnswer: -10*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 45\/4 of a microsecond?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/2996 and (-837 - -810) + (-2267)\/(-88).\nAnswer: 65912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**3 - 5*m**3 - m**3)*(-3*m + 3*m + 3*m**2 + (2*m + 0*m - 4*m)*(1 - 1 - m)).\nAnswer: -10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 15*z**2 - 15*z - 23. Let h be c(-14). Let s(g) = 2*g**2 - 4. Let q(b) = b**2 - 2. Determine h*q(j) + 4*s(j).\nAnswer: -j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 2*t - 133 = 0. Let v(o) = o**3 + 4*o**2 - 3*o - 5. Let y be v(-4). Suppose t + y = 7*h. Solve 22 = -2*p + 4*q, 2*p = -0*q - h*q + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b**2 + 37*b - 374. Give g(8).\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 46*v**2 - 15*v - 46. List the prime factors of j(-7).\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(-4*v + v + 2*v) + v - 5*v + 3*v + (-2 - 4 + 4)*(5*v - 7*v - 8*v).\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9656448 divided by 201176?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-477)\/212*(-2)\/(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p - 1. Suppose -5*q - 22 = -4*j, 2*q = 4*q + 4. Suppose 0*b - 4*o - 15 = -5*b, 0 = 4*b - o - 23. Let s(t) = -5*t + 2. Give b*u(w) + j*s(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -101 (b) 4\/9 (c) -35\/11 (d) 2 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22746?\nAnswer: 2, 3, 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 313747703 a multiple of 1663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 4:54 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102112 + -211022022?\nAnswer: -211201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -5. Let v be (-3)\/g + (-2)\/(-4). Which is smaller: v or 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 310828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t = 2099 - 1963 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 31 = 2*k + 2*f, 2*k + 5*f = 19. Let u(l) = l + 6. Let t be u(k). Let z(v) = -v. Let r(w) = 0 + 0 + 58*w - 60*w. Give t*z(j) - 2*r(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + -1 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**5\/30 - x**4\/24 + x**3\/3 - x**2\/2 + 4*x. Let l(g) be the first derivative of u(g). Give l(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1390 - 1388. Is l at least 228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22*j - j**2 - 100*j**4 - 3197 - 22*j + 43*j - 64*j**4 wrt j?\nAnswer: -656*j**3 - 2*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 17*w**2 - 15*w + 23. Let y be q(18). What is the greatest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3 + 4778*n**2 + 23852*n + 28608 = 0.\nAnswer: -2384, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 4*o**2 - 5*o - 2. Let q be w(-3). Suppose m + x = -q, 0*m + 18 = -5*m - 4*x. Is (m + (-1 - -5))*6 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/67200 and 73\/16640?\nAnswer: 1747200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/19 equal to -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*s + 95*s - 2409 = 84*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3735\/525 + -7)\/((-2)\/(-5)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/138*-1)\/(6\/(-9)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 51*j + 49*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6*((-4)\/8 - -4) + -12\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2190*f. Let c(x) = 11*x. What is v(c(h))?\nAnswer: 24090*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-33)*(-30)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**4*u**2 + 9*i**4 + 27*i**2 + 2*i*u**2 + 19*i*u - 325 wrt i.\nAnswer: -12*i**2*u**2 + 108*i**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1026018016662+-0.8\nAnswer: -1026018016662.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 1. Let f be (-125)\/((-625)\/30)*(-1)\/(-3). Let 0 - 2\/11*m**k - 6\/11*m**f - 4\/11*m = 0. Calculate m.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 22*v - 1 + 1 - 18*v. Let x(w) = -19*w**2. Give k(x(l)).\nAnswer: -76*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 10*d**2 - 16*d + 5. Let j be ((-4)\/(8\/6))\/(6\/16). What is the remainder when 173 is divided by z(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3369.975 - 3409. Let s = 0.025 + l. Let p = s - -38.99999812. What is p rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7814*s + 7810*s + s**3 - 7 + 7863*s - 23636*s + 25*s**2. Determine y(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 368 divide 219893984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-30) + 3 - 18\/9\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 187107120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 3060028956.\nAnswer: -3060028956.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 - 135*n + 380. Determine d(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2067403*t**3 - 2274614*t wrt t?\nAnswer: 12404418*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 132.99873 months?\nAnswer: 0.110832275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 267 + -263. What is the common denominator of 131\/90 and (a\/((-100)\/(-15)) - 0) + 1?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 284007 and 861.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 20894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 3) + (13 + -20 - -13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 13*y**3 - 3*y**2 + 2*y. Suppose 13*r + 12 = 25. What is d(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-270)\/27)\/(-3*(-1)\/(-6)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 976 and 11104?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 3 + 0 + 1)*(-17*l**3 - 202*l**3 + 20*l**3) + (l**2 - 5*l**2 - 4*l**2)*(4*l + 2*l**2 - 4*l).\nAnswer: 183*l**4 + 398*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38540818 or 1\/2?\nAnswer: -38540818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -688617, -1377230, -2065843, -2754456?\nAnswer: -3443069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 1. Suppose -2*w = -7*w + h*i + 83, 2 = 2*i. Suppose -m - w = -2*m. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184413490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/2926 and -59\/322.\nAnswer: 67298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326023?\nAnswer: 326023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnerqbsr. Give prob of sequence nbeb.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.5 + -2.23. Let d = o + -0.26806. What is d rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*s - 7*s - 14*s)*(2 + 1 + 1)*(s + s - 4*s).\nAnswer: 88*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/126)\/((-73)\/219).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**5 - g**5 + 5*g**5 + ((2 - 2 - 2*g**4)*(-2*g - 1 + 1) + 209*g**5 - 17 + 17)*(2 - 3 - 1).\nAnswer: -425*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.94 - -7. Let l = 0.7 - -0.5. Let u = l - 1.3. Are q and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17804 - -5?\nAnswer: -17799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -655 + 12413. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-36)*4)\/(3\/((-108)\/4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 8. Let c be 7\/14 + 5\/o. Is 0 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 + 90*r + 532. Let f be x(-8). Let j be (0 - (-12)\/7) + -2. Which is the closest to 1\/5? (a) j (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 229*t**4 - 107*t**2 - 1.\nAnswer: 5496*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40\/17 or -0.1?\nAnswer: 40\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/7992 and 109\/1480?\nAnswer: 39960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Let v = t + 3. Suppose -51*c - 11 = 40. Sort v, c, 0 in descending order.\nAnswer: v, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3501 divided by 4\nAnswer: 3501\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 + 4*s**2 + 0*s**2 + (0*s + 15*s - 2*s)*(-3*s + 6*s - 4*s) + 6387 + 270*s**2 - 6387.\nAnswer: 258*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19899528741 rounded to three decimal places?\nAnswer: -0.199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*d - 59, -5*u + 0*d + 84 = -4*d. Suppose 19*q - u*q = 0. Suppose q = 8*r - 3*r - 225. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -664017, -664029, -664041?\nAnswer: -664053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*g + 11*g - 495 - 237 = 0. Solve g*i - 9 = -b, 5*b + 13 = 4*i + 20 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.79287684 to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 7. Let t be (b + -7)*3337500\/(-1). Round t to the nearest one million.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.44 and -12296205.\nAnswer: -12296205.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 3591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3569 - -5.1205. What is w rounded to 1 decimal place?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 73 = -2*k, -4*k - 12 = 2*d + 14. Let l be (0 + -1 + 0)*d. Suppose 7*a - 5*a = 330. Calculate the greatest common factor of l and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 73544, 147072, 220600, 294128, 367656, 441184?\n\"Answer: 73528*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -335*t**5 - 1891*t**4 + 3735*t**3 + 3655*t**2 - 1720*t - 84 = 0.\nAnswer: -7, -1, -3\/67, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/43 (b) 0.2 (c) 5 (d) 4 (e) -121066\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {a: 7, g: 1, f: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/(-663))\/(1\/(-26))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + 115*m + 336. Determine i(-55).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q - 33. Let u be (-375)\/(-21) + 3\/21. Let z be v(u). Find the second derivative of 12*p**z - 4*p**3 + 18*p - 5*p wrt p.\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -2 (c) 6 (d) -5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhquiqkkhquqqqf. Give prob of picking 1 i, 1 k, and 1 h.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220775.67 months to decades.\nAnswer: 1839.79725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -21*r + 13. Let z(v) = -2*v - 15. Let l be z(-10). Let m(n) = -32*n + 19. Let o(j) = l*m(j) - 8*c(j). What is the tens digit of o(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 15*j**2 - 96*j + 853. Let x be p(9). Round x to the nearest 10.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + (-11 + 16 + -6)*-1. Solve -2*l - t*p + 5*p = -11, -15 = -3*p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = r, -5*r - 88 = -2*b - 3. Suppose d = -j + 4*d + b, -d = -3*j + 58. Let m = j - 3. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 18\/7 (b) -0.6 (c) -1 (d) 5.5 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 118*r - 11. Let p be s(2). Suppose 733 - p = 2*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 24 = -7*a. Is (-2)\/a*2*(-740 - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - 125037*c + 1250589. Determine n(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 13*p**2 - 10*p - 28. What is z(14)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2564, -2570, -2576?\nAnswer: -2582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3215 (b) 3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -190.4 + 188.318. Let z = m - -1.8974. Round z to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1677 and -476.\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24519858 to the power of 1\/2, to the nearest integer?\nAnswer: 4952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 15 - (-7 + -59 + -1 + 10)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157849.\nAnswer: 23, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 8*t = 18. List the prime factors of t*((-53)\/(-3) - 4).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 52187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -219144.247326 + 219145. Let s = y - -0.497417. Let f = s - 1.25. What is f rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143591 > 143720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 5*q**2 - 8*q - 10. Let d be h(-4). Solve d = -r - r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 65, 114, 163?\n\"Answer: 49*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40274119 and 6374.\nAnswer: 3187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -112.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10103 - 779 = 18*w. What is the smallest common multiple of 9 and w?\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(140)*2)\/sqrt(7) - sqrt(20))\/(sqrt(28)\/(sqrt(14)\/sqrt(2))) + -6*(sqrt(300)\/(sqrt(80)\/sqrt(8)) - sqrt(30))\/sqrt(6))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1506 - -1506.13. What is the third biggest value in 7, 0.5, n, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from {l: 1, f: 3, a: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 620528 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104 + 104. Solve 3*k + p - 14 = -h*k, -20 = -4*p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 12:49 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 14 = -t - y, 4*y - 28 = -2*t. Solve t*c = 8*c + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0 (b) -2 (c) -0.3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/540 and -58\/16623.\nAnswer: 997380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - f - 26 = -3*m, 0 = f + 1. Suppose -5*y = m*o - 40, 4*o - y - 4 - 8 = 0. Solve -4*g + 8 = 0, h + o*g + 4 = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-17 - -12) + 5 - -13).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 64119 + 15?\nAnswer: 64134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8866 and 16?\nAnswer: 70928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32788290 is divided by 72?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -3 (b) -0.3 (c) -0.1 (d) -6014 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from tcaeeeeeeazecetaeczo.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 261 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxppxxxppxxp. What is prob of sequence pppx?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 7 = 19. Suppose -2*k = -k - h. Suppose a - k - 15 = 0. What is the greatest common factor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (200*w - 2*w**3 - 200*w)*(-3*w - w**2 + 3*w).\nAnswer: 2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-9) - (-28)\/(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6062894216?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1505266 in 0.4, -0.054, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 1d?\nAnswer: -1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 0 + sqrt(176) + sqrt(176))**2 - sqrt(176) - 1*sqrt(176)*-1) + -2.\nAnswer: 16*sqrt(11) + 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 5:07 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 266 - 75. Suppose -5*v - 5*o + 155 = 0, v = -4*v + 4*o + m. Suppose 0 = 3*k + 4*b - v, 4*k - 48 = -5*b - 3. Solve 0 = -0*u + k*u + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r - 54 - 47 - 2*r - 46 + 190 - 37 + 5*r.\nAnswer: 16*r + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 5. Let x(c) = -1 - 28*c + 0*c**2 - c**3 + 26*c + 3*c**2. Let d be x(r). Is -2\/7 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 1:20 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 186642 divided by -31107\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029632557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/14*58\/(-1). What is the derivative of 95 + d*l**4 - 24 - 5*l**2 - 39*l**4 wrt l?\nAnswer: -40*l**3 - 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 6. Let f(b) = b**2 + 18*b + 20. Let w be f(-17). Suppose -2*n + 3*y = 6*y - z, 3*n = -w*y + 9. Calculate the remainder when 17 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*z - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -16*a - 103. Let c be o(-7). Suppose 2*b + c = 19. Solve 12*k - b*k + 7 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*d - 4*k + 2*k, -14 = -3*d + 2*k. Let w(l) = l**2 + 3. Let v be w(d). Solve f = 3, 5*f = -2*c + 4*c + v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 * -11717.67\nAnswer: 187482.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4\/13 + 315448*i**3\/13 - 2208070*i**2\/13 + 5046968*i\/13 - 3785208\/13 = 0. What is i?\nAnswer: 2, 3, 157717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d. Suppose 0*r - 3*x - 9 = 3*r, 0 = -r - 3*x - 13. Let g(c) = -3 + 4 - 4*c**2 + 7*c**r. Give g(u(j)).\nAnswer: 12*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -27. Suppose f = 3*x - b, 12*x - 42 = 8*x + f. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (264*z**3 + 210225*z - 210225*z + (-3*z + 3*z + 2*z**2)*(2*z - 2*z - 2*z))*(-2 - 3 + 7).\nAnswer: 520*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*b**2 + 0 + 1 + 25*b**2 + 1.\nAnswer: 209*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 14 + ((-25)\/(-20) - 2).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49 or 1916?\nAnswer: 1916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 7:07 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3205028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (26\/(-2015))\/((-1)\/5). What is the third biggest value in 4, 5, i, -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -57 (c) 3\/5 (d) -3 (e) 1908\/7 (f) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3\/5 + 14*l**2\/5 - 24*l\/5 = 0 for l.\nAnswer: 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/7 and 4\/(-3) + (56272\/5808 - 8).\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Suppose y*p + 2*p + 10 = 0, 1064 = 4*k + 2*p. Suppose -2*v = v - k. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 357 divide 1143536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 2. Let z be u(6). Suppose -4*o + z*h + 4 = -8, 5*h = -5. Suppose -120 = -o*i + 16. What is the remainder when i is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxx when three letters picked without replacement from xrxrdrxx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -754123 (base 9) to base 13\nAnswer: -1295a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2533, 2719, 3029, 3463, 4021, 4703?\n\"Answer: 62*w**2 + 2471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**4\/12 + x**3\/3 + 5*x**2\/2 + 29*x. Let h be n(-5). Solve 2*s = -3*s + 3*j + 22, -5*j - h = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 20 = 5*v - v, -5*v - 20 = 0. Let j = 12 - n. Suppose -3*z + p = 8, -5*p - 4 = -3*z - j. Which is smaller: z or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbbbbbbbbbbbb. Give prob of picking 1 n and 1 b.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1 + (sqrt(180) - (-1*sqrt(180)*-2 - sqrt(180))))*-2 + 2)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a9 - -49a?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17.67674 and 51.409.\nAnswer: 69.08574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 251981.6ml?\nAnswer: 251.9816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -161.27 - -29.17. Round w to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlddjsudjd. What is prob of picking 1 d and 1 j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 35708755?\nAnswer: 35708762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 5:44 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 12) to base 10\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41362602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 13, b: 6}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24985 (base 13) in base 7?\nAnswer: 400624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 49 + 3503*u + 15 + 52*u - 64 as g*u + o and give g.\nAnswer: 3555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -102855366*g**2 + 102761656 wrt g.\nAnswer: -205710732*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1289414 is divided by 214900.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 2)*(0 + 0 - m)*(6*m - m - 4*m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*r - 408 + 360 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-192)\/288*-4*9.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 771 + 2814. What are the prime factors of y?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2113, -17185, -58103, -137791, -269173, -465173, -738715?\nAnswer: -1102723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 14780.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 60 - 402*d + 814*d + 596*d + 161. Is c(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/8)*c**(8\/5))**(-29)*((c**1)**5)**(4\/5) assuming c is positive.\nAnswer: c**(-1261\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 56955, 55063, 51903, 47469, 41755, 34755, 26463, 16873?\n\"Answer: -r**3 - 628*r**2 - r + 57585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-14) - (-11814)\/7. Suppose i = -w - 3*w. Let a = -1252\/3 - w. Calculate the common denominator of -65\/8 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262317186 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x + 30*x = -2*u + 14, 5*x + 65 = -10*u + 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5304)\/99008)\/((-9)\/(-8))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 100 = 2*l. What is the remainder when l is divided by (2 + 144\/(-30))\/(-4 - 57\/(-15))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.1, -934, 5, -8, 2\/11 in descending order.\nAnswer: 5, 2\/11, 0.1, -0.1, -8, -934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652103*r**3 - 652106*r**3 + r - r.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - i = i + 30, m + 4*i - 10 = 0. Find the third derivative of 40*g**3 - 22*g**3 - 33*g**3 - m*g**2 wrt g.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Let p = -1517653\/265 + 5727. Let l = 283\/2385 - p. Which is the biggest value? (a) l (b) -0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14152 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 0*k - 5\/3*k**3 + 0 - 16\/105*k**7 + 23\/6*k**4 - 15*k**2 - 43\/10*k**5 + 26\/15*k**6. Determine v so that a(v) = 0.\nAnswer: 1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, g: 5, u: 8}. Give prob of picking 2 u and 2 n.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 28*z + 2*z**2 + 2*z**2 + 14 - 5*z**2 - 24*z. Let p be h(6). Suppose -d - 188 = 3*d - 4*i, -3*d = -p*i + 140. Which is smaller: d or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**3 - 20. Let b(y) be the third derivative of -y**6\/60 + 5*y**3\/3 - 1278*y**2. What is -13*b(u) - 6*h(u)?\nAnswer: 2*u**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -256 - -255.99999762. Round i to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -153*o + 78*o - 256*o in the form w + l*o and give l.\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1314 + -2?\nAnswer: -1316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1327109 to the nearest integer?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1020)\/80*10\/30*-4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 3:56 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.957226 rounded to 1 decimal place?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 7*j - 5*j. Let h be ((-48)\/j)\/((-12)\/(-1500000)). What is h rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -280 or -176?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 7*c**2 + 0*c - 3*c**2 + 3*c**2 + 3*c**2 + (-5*c + 2*c + 2*c)*(5*c - 5*c - 24*c).\nAnswer: 34*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 6*w + 10. Suppose -5*m - 15 = -8*m. Let b be i(m). Solve b*l + 14 = -4*a, -3 = -4*l - 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.46595082 from -0.109123.\nAnswer: -1.57507382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/12 and 37\/196?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-28)*32\/120*30\/12\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 5 + (5 + 4 - -2) - 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72.863337 - -0.037663. Let t = 73 - k. What is t rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -a78?\nAnswer: -a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/2 - (-210)\/(-40). Which is the nearest to 1? (a) k (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbkbhkhbkbkb.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-2)\/7*57204\/16344\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 28565, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 8*f - 1. Let s be q(-9). Suppose 15 = -3*u + s*u. What is the highest common factor of u and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*l = 36. Solve 0*u - l = -4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, s: 2}. Give prob of picking 3 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, p: 1, d: 2}. What is prob of sequence qqpd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.4 - -2. Suppose 4*f + 4*t = 9 + 3, 2*t = 5*f - 15. Suppose 2*o - f = -4*z - 9, 12 = z - 4*o. Which is the biggest value? (a) l (b) z (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3 + 0 - 10*a to u*a + h and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1, -88, -201, -350, -547, -804, -1133, -1546?\n\"Answer: -2*g**3 - 75*g + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39292 and 197494?\nAnswer: 7504772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 9 = -5*x + 38, 3*x = 2*o + 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -7. Let k be -1 - (30\/3 + 3). Let y(w) = w + 24. Let a be y(k). Solve a*j - 10 = p*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 108353.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-30)\/96*8\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 707*i + 24 = 713*i. Let g be 5\/((-15)\/(-6)) - 3. Put g, i, -30 in ascending order.\nAnswer: -30, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqqqqoyyyoyoyyyoy. Give prob of sequence qy.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1076 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -41445531401?\nAnswer: 41445531413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408652068 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1\/15*-9*1)\/((-1)\/(-45))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*d = -0*p - 880, -2*p - 3*d + 343 = 0. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114744 by -2.\nAnswer: 57372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (15 - 21) + 145*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z**2 + 5*z - 11*z + 6*z.\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 210000221212101 (base 3) in base 5?\nAnswer: 10330212432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6104562.\nAnswer: 2, 3, 461, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 6*c - 7. Let m be b(-6). Let z = m - -7. Suppose z*x = x - 11000. Round x to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) -28 (c) 3 (d) -25 (e) 2\/5 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6571*y - 14 + 1331*y + 3 + 9 + 1 to the form c*y + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 323423094 rounded to the nearest 10000?\nAnswer: 323420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*h + 57, 2*m - 3*h = -22 - 5. What is m rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 0.22532471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -228.\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 400567 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: Let b(j) = -2*j - 5. Let p be b(-5). Suppose r - p*r = -180. Let n(h) = -15*h**3 - h**2 - 2*h. What is the remainder when r is divided by n(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337353061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m - 5*m - 5*m + 4*m. Let l(b) = 2*b. Determine l(g(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 51, 363, 1211, 2865, 5595, 9671, 15363?\n\"Answer: 45*s**3 - 2*s**2 + 3*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/7)\/((-520)\/364).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 474*a**3 + 374*a**3 + 2 - 1925*a**3 - 1829*a**3 - 3691*a**3 in the form q*a**2 + v + i*a + z*a**3 and give z.\nAnswer: -6597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.296932 centimeters to nanometers.\nAnswer: 32969320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1732596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -5. Let z = h - -25. Let l = z - 17. Solve 0 = -c - l*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**5\/60 + o**4\/24 + 7*o**3\/6 + 3*o**2. Suppose 0 = -4*z + 4*p + 123 - 103, 5 = z - 2*p. What is m(z)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 3*s**2 - 1. Let h be v(-3). Let x be 1\/(-10) - 6801\/(-210). Let z = 32 - x. Which is greater: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15256?\nAnswer: 2, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + l. Let p(k) = 7*k**2 + 7*k - 8. Let s(a) = 6*g(a) - p(a). Suppose 6 = 3*r + y + 3, 4*y = 4*r + 12. Give s(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*(1 + sqrt(192) + sqrt(48)) - -5*(sqrt(1200) + 2*sqrt(1200))).\nAnswer: -1368*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from siee. What is prob of sequence ies?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -5. Let f be 5*3*z\/(-5). What are the prime factors of 20\/6 + (-4)\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20030 - 11?\nAnswer: 20013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24108974 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 49 - 24 - 8*m)*(3*m**2 + 2*m**2 - 3*m**2).\nAnswer: -16*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3043430 - 4012?\nAnswer: 3034413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 - 25. Let g = -31 + i. Suppose -10*u + 190 = -g*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 4*s + 163. Calculate f(13).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3, -4, -2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1032, 5, 12, 14, 1 in decreasing order.\nAnswer: 1032, 14, 12, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4900 less than or equal to 4900?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a5700 (base 12) to base 10.\nAnswer: -217008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-17)*x*x\/(x**(-16)\/x)*x**(1\/13)*x**(-14) assuming x is positive.\nAnswer: x**(-155\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - -421?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 3489635*y - 55832880.\nAnswer: -5*(y + 16)*(y + 697911)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 62 (c) 5\/4 (d) 3 (e) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -658668.3 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1406 or 263?\nAnswer: -0.1406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43783226?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 - 5*i**2 + 3*i - 3. Let v(j) = -j**3 + 1. Let u(f) = -m(f) - v(f). Let a(t) = t**2 + 3*t + 4. Let l be a(-3). Give u(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -4*v**2 - 15*v - 11. Calculate the remainder when 65 is divided by u(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*1*sqrt(405) + -2*sqrt(405)*5 + (sqrt(405)*-1 + 0 + (0 + sqrt(405))*2)**2).\nAnswer: -432*sqrt(5) + 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 (base 16) in base 7?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 0 + 7\/24*m**4 + 37\/6*m**3 + 0*m - 67*m**2. Differentiate i(v) wrt v.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -370 - -372. List the prime factors of (-8 + 7)\/(d\/(-732)).\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 221.9 + -244. Let h = -0.8 + 22.8. Let v = n + h. What is the third smallest value in 1.1, -1\/5, v?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48579 divided by 48579\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/(-3) + -6 + 273 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5*v + 9. Let d = v + -8. Let c be (164 + -163)\/(0 - (-1)\/(-3)). What is the third smallest value in d, 3\/7, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 521 + -521. Solve -3*d + 22 - 6 = a, l = -d + 2*a + 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -134 - -133.6. Suppose 2*p = t - 4, 4*t = 2*t - 2*p - 16. What is the fourth biggest value in v, -1\/2, t, -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 8:54 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 + 240 + 3*a**2 - 3*a**2 - 34*a**3 + 30*a**3 + 2*a to r*a**4 + h + y*a + q*a**3 + c*a**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*t + 1432*t**2 - 382*t**2 - 12*t - 3*t + 7*t to q*t + j + d*t**2 and give d.\nAnswer: 1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 676 + 238. Suppose 0 = 15*r - d - 3241. Is 26 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 40. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djsd when four letters picked without replacement from {s: 1, d: 3, j: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/4, 53, 25266.\nAnswer: 0, 3\/4, 53, 25266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/(35\/(-10)))\/((-2)\/(-4)). Let s(b) = b**3 + 9*b**2 - 10*b + 1. Let h be s(-10). Let r be 3 + -2*2\/(-4). Put v, r, h in decreasing order.\nAnswer: r, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 53.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7550 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 7 + 0)*(-2*y**5 + y**5 + 0*y**5).\nAnswer: -5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 12. Let r(d) = -28*d - 3. Give r(v(k)).\nAnswer: -56*k + 333","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -682 + -4?\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 16*y - 657 = 0. Let p = -129 + y. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.284\nAnswer: -0.0284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233023 - -2100302?\nAnswer: 2333331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.95965 centimeters in micrometers?\nAnswer: 679596.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = i + 33. Let k = 4 + -2. Suppose v - f = -0*f - k, -5*v = -2*f + 1. What is the smallest value in -1, v, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6448012?\nAnswer: 2, 509, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221895 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297*w + 289181 = -52*w + 83136. What is the remainder when w is divided by 71?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -125449\nAnswer: -12\/125449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n - 7. Let s be w(-6). Let x(q) = -11*q - s*q + 13*q. Let b(u) = -u**2. What is b(x(t))?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 10:00 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4295 a factor of 991182669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0*-141\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/12 + 3\/(-18). Let v be (3\/2)\/(6\/56). Suppose 4*h = -m + 18, x = -3*h - h + m + v. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1565, -3012, -4339, -5552, -6657?\n\"Answer: -d**3 + 66*d**2 - 1638*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.5 + -2.5. Let n = 0.38 + -0.4. Let p = -0.32 - n. What is the nearest to a in -0.5, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + -1 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 18 = -3*a. Let u be a\/(-4 - 4)*0. List the prime factors of 16\/56 + 530\/7 + u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*0*(-6)\/24.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h - 2. Let o be 5\/(-2)*36\/30. Calculate p(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10352 less than -2?\nAnswer: 10350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a - j - 11, -a - j = -4. Let m(c) = 8*c + 6*c - 17*c + a. Let i be 68\/(-18) + (-6)\/27. Give m(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 894900 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 1302?\nAnswer: 26040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 87*k**2 + 1. Let o(n) be the first derivative of 2*n**3\/3 + 728. Give o(i(j)).\nAnswer: 15138*j**4 + 348*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1302 = -8*x - 1246 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13832.\nAnswer: 2, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1075324, -1075327, -1075332, -1075339, -1075348, -1075359?\nAnswer: -1075372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/17 at most as big as 464919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 5*a + 8, -5*z + 3 = -a - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krpppzzpprrzzzr. Give prob of picking 1 r and 1 z.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 6\/5 (c) -1\/2 (d) 11500 (e) -5 (f) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7*o - 5. Let n(q) = 10*q - 7. Let j(r) = 5*n(r) - 7*v(r). Let c(m) = m - 1. Give c(i) - 4*j(i).\nAnswer: -3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - -3 - 6) + -25?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -294 and -43335756803.\nAnswer: -43335757097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r. Let w be (3 + -3)*1 - 2. Let v be 3 - (-1)\/2*w. Let k(h) = -v - 12*h**2 + 2 + 11*h**2. Calculate b(k(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from rfjcqjfvcfrqjqjfffff.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2437.\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from iiiiipiiiiiii.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggnnng. What is prob of sequence ng?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*z + 5 + 5*z**2 - 13*z**2 - 3*z**3 - 75*z - 3 - 3*z**3 to w*z**3 + q*z + p*z**2 + r and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + -22. Let o = 62.00131 + r. What is o rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -978509 + 3914037\/4. Determine k, given that 6*k + 0 + n*k**3 - 5\/2*k**2 = 0.\nAnswer: 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 5:31 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/99377 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 9*u**2 + 6*u + 31. Calculate o(-10).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -7*k**2\/2 - 156*k + 236. Let b be g(-23). Solve -3*t - 5 = 2*w, -b*w + 7 = -2*t - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*0.15\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2749 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*v = 105*v - 36 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -537, -1641, -3261, -5391, -8025?\n\"Answer: b**3 - 264*b**2 - 319*b + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -252*z**3 - 3*z**2 - 25*z + 33. Is r(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 x when three letters picked without replacement from {x: 2, c: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 269 + -79. Let x(j) = -q*j**3 + 189*j**3 - 2*j + 1 + 1 - 5*j**2 + 0. Determine x(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 2:17 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1711*b = -7838 + 101943 for b.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 + 63.4. Let s = -4.7 + x. Let b = -44 + 219\/5. Sort 5, b, s.\nAnswer: b, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 + -38. What is the remainder when m is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, y: 1, q: 1}. Give prob of sequence oq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3 - 26 - 35 + 21*d - 12*d**2 - 23 - 11 - d**3. Let x be v(-14). Solve 7 = -x*b - 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400815?\nAnswer: 3, 5, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 6*s - 87 + 5\/2*s**2 - 1\/3*s**3. Determine g(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.09 and 42.3.\nAnswer: 42.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -55*i - 1316. Calculate m(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -0*c - 200. Suppose -9 = -2*o + 25. Calculate the remainder when c is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u**2 - u + 2. Let a be v(2). Suppose -4*o + 6 = o - 3*w, 5*o + 3*w - a = 0. Solve 3*p = 2*p - o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 231055468?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 5122?\nAnswer: 5123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3750957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 4:49 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2285, 8708, 18815, 32120, 48137, 66380, 86363, 107600?\nAnswer: 129605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6688907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + (sqrt(162) - (sqrt(162) + sqrt(162) + sqrt(162)*3 + sqrt(162))) + sqrt(162) + 2 + 2*sqrt(162))**2.\nAnswer: -180*sqrt(2) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 4*f = f - 134, 432*g - 680 = -4*f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12158, -12165, -12172?\n\"Answer: -7*w - 12151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 5098.\nAnswer: 30588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(28\/6)*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -58, 1\/104673?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 + p**2 + 0*p**2 + ((2 + 4 - 4)*(2*p + 2 - 2) - 2*p - 7*p - 2*p + 0*p + 0*p - p)*(18*p + 14*p + 18*p) in the form y + r*p**2 + i*p and give r.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*h**3 + 9*h**2 + 27*h**3 - 12*h**2 - 38*h + (-2*h - 2 + 2)*(-h**2 - 1 + 1) + 9 - 9 + 5*h**3 in the form r + c*h + d*h**2 + o*h**3 and give c.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (13 - 2) - (-22 + 22 + -14).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179895?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 181 (b) -4\/3 (c) 1 (d) -1\/5 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 8*j + 38. Let u(b) = 50*b**3 + 15*b**2 + 15. Let y(c) = 7*c**3 + 2*c**2 + 2. What is j*u(i) + 15*y(i)?\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 2 - 4*j**2 - 2 - j - 4*j. Let o(w) = -4*w**2 - 5*w - 4. Let v(m) = -5*c(m) + 4*o(m). Let f be (-2 - 1)\/(-9)*15. Calculate v(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3031270 and 374.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/18471232 and -133\/3576.\nAnswer: 55413696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from {b: 1, u: 9, v: 1, d: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -191*q**3 - 4*q**2 + 3*q - 35. Let x(b) = -383*b**3 - 7*b**2 + 5*b - 70. Let j(f) = -3*x(f) + 5*y(f). What is the third derivative of j(s) wrt s?\nAnswer: 1164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0437014 + 0.0439. Round f to five decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -215065273 greater than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 412 - -176. Let a be (4 - k\/153)*(-9)\/12. Sort -1\/30, -2, a.\nAnswer: -2, a, -1\/30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 - 38*a + 11. Give d(-17).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -55*r. Let t be (0 + 1)\/(45\/90). Let h(d) = t*d**2 - 274 + 274. Calculate v(h(p)).\nAnswer: -110*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 = z + 12*r - 13*r, -2*r - 8 = 0. Suppose z*w = 267*w + 19794. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -12*j + 6*j. Let n(x) = -x**2 + 6*x - 4. Let a be n(4). Is j bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -792\/120121 + -38860196869\/4204235. Let n = -9245 - o. What is the common denominator of n and -63\/55?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360*x + 363*x - 3210 = 0. Let h be ((-204)\/x - 11\/(-55))*1. Let z be 2\/(-4) - 3\/(-6). Which is greater: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 1. Let g be n(4). Suppose -h + 48 = 4*y + 12, -h = -y + 4. Suppose -g*m = -y*m + 4050. Round m to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 66 (b) -0.14 (c) 10 (d) 2 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p - 4075. Is (-2)\/(-6)*(p - -8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -131 + 123. Let j(k) = 11*k**3 - 8*k**2 + 8*k. Let a(l) = -7*l**3 + 5*l**2 - 5*l. Calculate b*a(x) - 5*j(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2296\/10413 + -2\/1157. Which is the second biggest value? (a) f (b) -4 (c) -1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 3*c + 33. Let k be (16\/(-10))\/((-2)\/5). Suppose 48 = k*i - 20. Calculate the remainder when c is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 867, 1740, 2613, 3486, 4359, 5232?\nAnswer: 6105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + -1)*4 + sqrt(704) - sqrt(704)*2*-4)**2.\nAnswer: -832*sqrt(11) + 118992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 10:49 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9693\/5 or -1939?\nAnswer: -1939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 5*c)*(-3 + 2 - 5)*(0*c + 3*c - c).\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9304?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 56*b - 259. What is c(-51)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4712*t = 4708*t - g - 21, -4*t + 3*g = 17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -668355 greater than or equal to -668354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443 is divided by 90.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011 less than -7013936?\nAnswer: -7013935.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/9 - 3472*s\/9 - 47432\/3 = 0.\nAnswer: -1694, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7386 (base 9) to base 3.\nAnswer: -21102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 157490.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5 = 0, -t + 3*o - 42 = 4*o. Is 0 - 2*t\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 2*n**2 + 0*n**2)*(-n**2 + 0*n**2 - n**2) + 0*n**4 + 2*n**4 - n**4 + 3*n**4 - 2*n**4 + n**4 - 3 + 3 + n**4.\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2572 + -2122. Calculate the smallest common multiple of y and 550.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 3:27 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -1686*x**2 + 48944 - 48944. Let n(p) = -6*p. What is d(n(l))?\nAnswer: -60696*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 1:14 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30812*r**2*v**3 - 5*r**2 - 2*r*v**3 - 2134*v**2 wrt v?\nAnswer: -184872*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 572*s - 393*s**4 + 144 + 264*s**4 + 480*s**2 - 300*s**3 + 196*s + 27*s**5 = 0. Calculate s.\nAnswer: -2, -1, -2\/9, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 356048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9295, 9294, 9293, 9292, 9291, 9290?\n\"Answer: -z + 9296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 35*g**3\/3 + 1432491*g**2 + 12646540*g\/3 - 245564 = 0.\nAnswer: -122782, -3, 2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(4)*5)\/(2*sqrt(588))*6.\nAnswer: 15*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**29*n**(-14) assuming n is positive.\nAnswer: n**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 2, 52, -3, 278, 4 in decreasing order.\nAnswer: 278, 52, 4, 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -47*k**4\/24 - 26*k**2. Let s(t) = -2*t**2. Give s(l(y)).\nAnswer: -4418*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 136630.\nAnswer: 1\/136630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 22*j - 229. Let b(t) = -2*t**2 + 14*t - 229. Give 3*b(y) - 2*u(y).\nAnswer: -6*y**2 - 2*y - 229","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 5:04 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(4\/(-2))*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + -24 + 26 + (-12 - 8)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 - 2*c**2 + c - 4. Let r(j) = 29*j - 235. Let v be r(8). Determine s(v).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 8. Let z be v(10). Solve z*j - 4 = 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + -4 + 1 + sqrt(1300) - sqrt(1300)) + sqrt(1300) + sqrt(1300)*-3 + -1)**2 + -5.\nAnswer: 80*sqrt(13) + 1311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**9\/63 - 2*n**5\/15 - 11*n**2. What is the third derivative of x(l) wrt l?\nAnswer: -960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 7*o + 19)*(4*o - 2*o + 0*o)*(0*o**2 + 0*o**2 - 2*o**2).\nAnswer: 28*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from rxxuxxrxuuxrxxxxxx?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8218306, -8218301, -8218296, -8218291?\n\"Answer: 5*n - 8218311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43443, 43496, 43583, 43710, 43883, 44108, 44391?\n\"Answer: w**3 + 11*w**2 + 13*w + 43418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + 81. Let w be ((-9)\/(-21))\/((2\/v)\/1). Solve -8 + 4 = 5*x + 3*k, -w*x - 16 = -5*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (64*h - 10*h + 27*h)*(8 + 1 + 22)*(3*h + 2 - 2) to k*h + p + z*h**2 and give z.\nAnswer: 7533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43252.\nAnswer: 2, 11, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 53971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*k - 25, 2*o + 2*k - 16 = 4. Let r(j) = 4*j - 7. Let m be r(6). Solve 4*l - m = -o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 35 = -3*y. Suppose -y = 3*d - 30. Suppose -d*z + 18 = -7*z - 4*j, 5*z + 5*j + 25 = 0. What is the third biggest value in z, 0.4, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-5)*70\/21. Let z(a) = -3*a**2 - 4*a**2 + i*a**2. Let p(u) = 66*u**2 + 27. Let m(g) = 5*g**2 + 2. Let l(d) = 27*m(d) - 2*p(d). What is z(l(f))?\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -18. Let a be p\/16 + (-3599)\/4. What is a rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34340674 by 1.\nAnswer: 34340674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3833 - 3832.92217. Round v to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 615 divide 2838134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7806706 or 7806704?\nAnswer: 7806704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -820 and 122.\nAnswer: -100040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -140, 5, -3 in decreasing order.\nAnswer: 5, -3, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006235 rounded to 4 dps?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(70\/(-50)) + 21)*1*-1.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 9456*p**2 - 4730*p**2 + 32 - 16*p - 4729*p**2. Calculate f(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37011881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -57097, -57077, -57057, -57037?\n\"Answer: 20*g - 57117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**4\/24 + 29*m**3\/6 - 3*m**2. Let i be g(-12). Which is smaller: 40 or i?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -55 (b) -0.1 (c) 5 (d) 3\/1337 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-44)\/11 - -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 7. Let f be g(-7). Let b(w) = -w - 420000. Let k be b(f). Round k to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -67*i**2 + 2*i + 20. Let l be m(4). Let t = l - -1933. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + h + 67*h**2 - 249*h**2.\nAnswer: -182*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3))**(-28))**13 assuming h is positive.\nAnswer: h**(-364\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 60281773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + (sqrt(1872) + sqrt(1872) + 0 + sqrt(1872))*-2 + 1 + sqrt(1872) + 3 + sqrt(1872) + 1 + 1))**2.\nAnswer: -960*sqrt(13) + 30052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -512 - 19*a**2 + 512 + 52*a to the form u*a**2 + s + p*a and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 6308\/5 - -4*(-14)\/(-140)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + 4. Let n = 1345 - 1254. What is the highest common divisor of l and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106367227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = v + 166. Suppose 5*y + 3*w = -v*w - 2530, 0 = -4*y + 2*w - 1994. Let i = 810 + y. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72208689?\nAnswer: 3, 7, 61, 56369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 14. Let z = 166 - 196. Let v be 40\/(-7) + z\/105. What is g(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 3490344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 1999997\/(-1)) + 1. Round x to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-13)*n)\/((n**(5\/6)*n*n)\/n)*(n*n*n*n*(((n\/n**(-4))\/n)\/n)\/n*n*n)**35)**(2\/27) assuming n is positive.\nAnswer: n**(1597\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2203052 to the power of 1\/2, to the nearest integer?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9833\/5 or 1966?\nAnswer: 9833\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-4) + -2)\/(8\/568). Let y = 477 + h. Calculate the common denominator of y and 143\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2753, -2957, -3507, -4577, -6341, -8973, -12647?\n\"Answer: -29*h**3 + h**2 - 4*h - 2721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 26 = 35. Suppose 0 = 5*l - 5*h + 4*h + 14, 5*l = -h - 6. Put g, 2, l in increasing order.\nAnswer: l, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -1 - 0) + -53. Suppose 0 = 2*y + 4*g, 4*g + 16 = -5*y - 8. What is the units digit of d\/(-12) - 6\/y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 - -3.09. Let o = -16792 - -16792. What is the smallest value in z, -0.027, o, 0.2?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/52568 and 7\/824.\nAnswer: 5414504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 4*j + 6, 5*l - 3*l + j = -7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/13, 38947\/3, 3, 1\/2?\nAnswer: 38947\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -c + 15, 3*s = -5*c + 3*c + 25. Suppose -s*p + 144 = -0*p - 2*t, 3*t = 3*p - 81. What is the highest common factor of 165 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/480 and 131\/13570890.\nAnswer: 217134240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1385, -1358, -1335, -1316, -1301, -1290, -1283?\n\"Answer: -2*n**2 + 33*n - 1416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 2 - 5 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, z: 3}. Give prob of picking 3 z and 1 q.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -345, -774, -1375?\nAnswer: -2148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7852.047 - -7739. Let a = x + 113. What is a rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 8*y + 0 - 1\/2*y**2 - 1\/20*y**5 - 1\/12*y**4 + 0*y**3. Determine p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 + -0.28. Suppose 0 = -43*t + 81*t + 1520. Let y be 8 + 5 + 510\/t. What is the second biggest value in 2\/11, w, y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s + 434 = w, -5*w + 856 = 2*s. Suppose 4*r - 256 = -3*y, -y + 6*y + r = s. Calculate the highest common divisor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -30\/7. Sort -1\/5, g, -1 in decreasing order.\nAnswer: g, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7817, -15651, -23485, -31319?\n\"Answer: -7834*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 512 - 946 = 0. 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 the derivative of -49312*k - 54415 wrt k?\nAnswer: -49312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-4 + (8 - 3)). Suppose y = -3*k + 2*k + 2. Suppose 145 = k*g - 11. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r + 263 = -5*n, -5*n + 710 = 5*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4\/9, 30, 107, 0.2.\nAnswer: -3, 0.2, 4\/9, 30, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11134873?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 31094904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 19*f**3 - 3*f**2 + 4*f - 9. Let g be k(-3). Let j = 1157 + g. List the prime factors of j.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.9 - -3.9. What is the second smallest value in -4\/3, d, 0.4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -3. Let s be l\/8 + (-180)\/(-8). Suppose 0 = 4*n + 12, q - n = -3*n + s. What is the remainder when 115 is divided by q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.013656 and -2.09?\nAnswer: -0.02854104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/4)*j**(-4))\/(j**1\/(j**(-4)*j*j*j*j)) assuming j is positive.\nAnswer: j**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1480? (a) 1.76 (b) 4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90197041.\nAnswer: 11, 107, 197, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -16901679.\nAnswer: 5\/16901679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**2 - 941*l + 15. Let y(j) = 2*j**2 + 471*j - 6. Give 2*r(z) + 5*y(z).\nAnswer: 2*z**2 + 473*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.31 (b) 2 (c) 6 (d) 0.3 (e) 125 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 0*q**6 - 1\/7*q**7 - 14*q**2 + 0*q**3 + 0*q + 0*q**5 + 0 + 7\/12*q**4. What is the second derivative of j(a) wrt a?\nAnswer: -360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.062 - -0.045. Which is the closest to 0? (a) r (b) 0.4 (c) -1\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -985 by 197.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 - 5*o**2 + 4*o**2)*(-14*o**2 + 4*o**2 + 12*o**2 - 10*o**3).\nAnswer: 50*o**5 - 10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3939 and 663.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85246*k**2*s**2 + 2*k**2 - 2*k*s**2 + 4*k*s + 768*k - 2 wrt k?\nAnswer: 170492*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, z: 3, w: 3}. What is prob of picking 2 e and 1 w?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**4\/2 + 590*v**3\/3 - 3281*v**2\/2 - 2*v - 4034. Find the second derivative of z(k) wrt k.\nAnswer: -12*k + 1180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j - 562 + 522 = 0. Which is greater: -15\/259 or j?\nAnswer: -15\/259","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17765 and 969?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1104 = 3*t - 946, 4*t - 5*r - 2710 = 0. Let k = t + -107. What are the prime factors of k?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -2) + -2 + -3 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + -1)*(4\/(-3))\/1. Suppose f - h*y + 16 = 5*f, 4*y = -5*f + 24. Suppose 0 = 11*x - f*x. Solve 4*p - 3*p - 3 = x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313322 (base 4) in base 10?\nAnswer: 3578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99 - 97. Which is the second smallest value? (a) x (b) 3 (c) -0.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-3))\/(2\/(-6)). Suppose 0*n + n - 5*b - 14 = 0, 2*n - 1 = b. Let v be 1*(k + -1 - n). Let y(a) = 4*a**2 - 1. Give y(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h. Suppose -98*k = -94*k. Let a(y) be the third derivative of -1\/24*y**4 + k + 0*y**3 - 7*y**2 + 0*y. What is r(a(j))?\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*x = 507*x + 6813 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4 - 8. Let m = 0.0426 - -2.9574. Let w = -9.7 - -9.2. Put w, 0.1, i, m in ascending order.\nAnswer: i, w, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*n + 37*n - 11*q - 10 = -33*n, q = 9*q - 6*q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**7\/280 - y**4\/8 - y**3\/3 - 2*y. Let h(u) be the second derivative of l(u). Differentiate h(s) wrt s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) 2812 (c) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**4 + g**4 + 2*g**4 + (-7*g**2 + 2*g**2 + 3*g**2)*(-2*g**2 + 0*g**2 + 0*g**2) + (-431 - 75*g + 431)*(0*g**3 - g**3 + 4*g**3).\nAnswer: -222*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 71 + 649. Which is smaller: 76 or n?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/5 - 3059526*b\/5 - 6119044\/5 = 0. What is b?\nAnswer: -1529761, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**2 + 88542*u + 885720 = 0?\nAnswer: -10, 29524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -13\/500417?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 543510956*c**6 - c**4 + 20556*c**2 - 821?\nAnswer: 65221314720*c**3 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3729191579.\nAnswer: 19, 196273241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 268 - 137. Let g = y - 129. Let q(h) = h**2 - 3*h - 1. Let t be q(2). What is the second biggest value in t, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3206, -4789, -6372, -7955, -9538?\nAnswer: -11121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 1*sqrt(72) + -5)*-5)**2 + -5.\nAnswer: -300*sqrt(2) + 1820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n**3 - 8*n**3 + 7*n**3.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5\/16)*z**(-25) assuming z is positive.\nAnswer: z**(-405\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 less than or equal to -173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5*v - 2)*(-2 - 2 - 1 + 2 - 5 + 1 + (2 + 3 - 3)*(3 - 3 + 1) - 2 + 1 + 3 + 1 - 3 + 0) to the form s + t*v and give t.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 4:31 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 z, and 1 p when four letters picked without replacement from {o: 3, l: 2, p: 1, z: 1, q: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Let t be 6\/(-11) - (69998461\/3422133 - 21). Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61136156 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 10*b - 5. Let c = 32 + -25. Let d(h) = 0*h + 2 - c*h + 2*h. Let a(m) = -7*d(m) - 4*w(m). Find the first derivative of a(n) wrt n.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4515.\nAnswer: 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*1*4 - sqrt(100)\/sqrt(20))\/((sqrt(10) - sqrt(270)\/sqrt(3)) + sqrt(40)\/(sqrt(4)*1)).\nAnswer: -7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140379885*y**3 - 21786738*y wrt y.\nAnswer: -842279310*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-45) + 164\/369?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20272669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (46\/(-92))\/((-1)\/8). Solve -g = -4*t - 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/7, 188, -0.3, -63.84, 9 in decreasing order.\nAnswer: 188, 9, 3\/7, -0.3, -2, -63.84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*t, -2*f - 23*t = -20*t + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1)*y)**(2\/91)\/(y**1)**(-5\/8)*(y\/(y*y**(1\/2)*y)*y)\/y**(2\/3)*(y**(-1\/4))**(-1\/90) assuming y is positive.\nAnswer: y**(-7747\/16380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/6 + (-13)\/(-39) - 6. What is the closest to -3 in -1.1, -2\/7, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1608\/603*(356\/88 + -4).\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 439296 divided by -156.\nAnswer: -2816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005812 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*((-40)\/(-60) - 1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34001 + -14880. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -124795 or -124872?\nAnswer: -124795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12758199, 25516404, 38274625, 51032868, 63791139, 76549444?\n\"Answer: h**3 + 2*h**2 + 12758192*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 - 1.7. Let s = -1.34 + 1.24. Which is the closest to -0.1? (a) s (b) -1\/6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s**3 - 2*s + 13*s**3 + 2*s - 6*s**3.\nAnswer: 22*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a5348 + -1a6?\nAnswer: -5a5532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 75\/156 + -2*7\/28. Do b and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jegch. Give prob of sequence he.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015232548 rounded to five decimal places?\nAnswer: -0.01523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 9*z + 10. Let h be u(-10). Suppose -n - 3*n + 336 = h. What is the greatest common divisor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 705 * -2\nAnswer: -1410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 14*z**2 + 14*z + 51. Is 13 a factor of n(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -105, -169, -259, -375, -517?\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s - 92. Let z(w) = 4*w + 8. Calculate 10*k(g) + z(g).\nAnswer: 4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69332.6675 - 69137. Let r = k + -0.3675. Let t = r - 209. What is t rounded to 0 decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 19*m + 86*m - 616 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 g, and 1 w when four letters picked without replacement from {q: 2, w: 3, a: 2, g: 1, x: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2708679, 5417352, 8126027, 10834704, 13543383, 16252064?\n\"Answer: y**2 + 2708670*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggddgusgwud. What is prob of sequence wu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 - 10100110000001101011010?\nAnswer: -10100110000001101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x + 4*y + 28, -3*x + 20 = -2*y. Let b be 1\/(-2) - 5\/(-2). Differentiate 2 + x*v**3 - 6*v**b + 6*v**2 wrt v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202222 + -1001?\nAnswer: 2201221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2239751 is divided by 301?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -518, -274, -30, 214?\n\"Answer: 244*l - 762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 1. Suppose -9 = 3*q - t + 6*t, 2*t = 0. Is z greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 55*m**3 - 5*m + 64. Let s(h) = h + 1. Let z(y) = -5*s(y) - t(y). Differentiate z(q) wrt q.\nAnswer: -165*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, -555868, 0, 2.\nAnswer: -555868, -126, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169, 334, 501, 670, 841?\nAnswer: 1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-7 + (-12 - -3) + 58 + 13).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*l - 12, n = 3*l + 5*n - 29. Let d(g) = -2*g - 10. Let s(w) = -4*w - 21. Let v(q) = l*d(q) - 3*s(q). List the prime factors of v(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3326318*t - 6*t**2 + 3326318*t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55.37 + 55. Let w = r - 0.43. Which is bigger: w or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.499 + 0.49900536. Round r to seven dps.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2691, 2410, 2129, 1848?\n\"Answer: -281*o + 2972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 16) to base 11\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -339 + 342. Suppose 0 = -7*g + 2*g + 5. Let y be (f + -1 - 3) + g. Solve 3*v = -y*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3348 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/24 + 417\/36. Let d = h + -61\/6. What is the common denominator of 57\/7 and d?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n - 29 + 6 = d, -n + 0*n - 24 = d - 1 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 + 98.00101. Round m to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -374 - -386. Calculate the remainder when 34 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19b + 9?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -9. Let g be (10\/240*8)\/((24\/117)\/2). Sort -2, 1, a, g.\nAnswer: a, -2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266151776 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*z**2 + 49*z**2 - 46 + 50.\nAnswer: 19*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 - 15*v**2 - 6*v + 10. Let c be n(-7). Let u = 35 - 24. Let t = u - c. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/5 and 5*3\/45 + (-9)\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/2*(-8)\/(-6). Let u = b - -15. Let k = 2.2 - 2. Which is bigger: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615387707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*o - 68*o - 68*o + 664196*o**2.\nAnswer: 664196*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11105601, 11105599, 11105597, 11105595?\nAnswer: 11105593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 3:18 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*g = o - 8, -4*g = -16. Let k(p) = p**3 + 17*p**2 + o*p - 17*p**2. Suppose 0 = -24*d + 22*d - 4. Let l(b) = 4*b**3 + 7*b. Give d*l(t) + 7*k(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350 = 12*r + 23*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84\/29 or 0.025?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 12*c - 39. Suppose 5*i = 81 - 16. Let z be d(i). Is 6\/(120\/z)*-365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 365130525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 937442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 5*v - 7*v + 21.\nAnswer: -2*v + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 12*g**2 - 11*g + 24. Let f be a(-13). Sort -14, 1, f in ascending order.\nAnswer: -14, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + (-3 - -2))*-1. Calculate the remainder when ((-3)\/(-6))\/((-2)\/(-164)) is divided by (-214)\/(-14) + t\/(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 7*w + 15. Let a(g) = 1 + 721*g**w + 719*g**3 - 1441*g**3 + g + 4*g**2. Determine a(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 17.06501cm?\nAnswer: 0.0001706501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzd when three letters picked without replacement from {z: 3, d: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*k**2 + 14 - 13 - 1 to b*k**2 + y + m*k and give b.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -153 - -153.0000129. What is s rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/(-22)*2\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*v - 6 = 0, 0 = 4*s + 5*v + 4 - 16. What is the tens digit of (-4)\/5*(s + -18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -5*r**7\/42 + 4*r**6\/3 - 6*r**5 + 85*r**4\/6 - 115*r**3\/6 + 15*r**2 - 1468*r. What is u in i(u) = 0?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 640 = -2*s - 67*s, 5 = 4*z + s + 2*s - 13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*x - 1 + 57*x + 2*x**2 + 3 to c*x**2 + h*x + v and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.13 (b) -1\/9 (c) -5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) -1.82 (c) -18 (d) -0.7 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = -8*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43457*((-143)\/13 + 12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 42 - (-29 - -106 - 23)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**4\/6 + 8*b**3\/9 + b**2 - 1039. Factor s(v).\nAnswer: 2*v*(v + 1)*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-32))\/v*v**(4\/19)*v assuming v is positive.\nAnswer: v**(631\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -29.961. Let s = -0.0427 + y. Round s to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 4:03 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000611 rounded to seven decimal places?\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88153533 and 10179?\nAnswer: 3393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57.1 - -59.1. Let d = 0.1 - 0.6. Which is the biggest value? (a) w (b) 5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.809 and 0.2.\nAnswer: 0.1618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 47*l**3 - 77*l**2 + 32*l - 4. Let a(t) = t**3. Let d(b) = 2*a(b) + f(b). Find z such that d(z) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z - 8. Let b be d(6). Let k(l) = -l**2 + 6*l - 4. What is the units digit of k(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562616267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*(sqrt(125) - (-4 + sqrt(125) + sqrt(125) + sqrt(125)))*-3.\nAnswer: -24 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4.11855 * -2\nAnswer: -8.2371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -1) + 0 + 3 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -10. Let g = v - -13. Let w be (0 + 2)\/(0 + -9). Which is the biggest value? (a) 4 (b) g (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*a*o**3*v - 33*a*o**3 + 2*a*o + 111*o**2 - 982069*o*v + 2*v wrt o.\nAnswer: 144*a*o*v - 198*a*o + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**2 - k**2 + 0*k**2)*(0*k**2 + 5*k**2 - 4*k**2) + (k**3 - 3*k**3 + k**3)*(-4*k + k - k) in the form o*k + w*k**3 + c + h*k**4 + b*k**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -240 - -65. Does 15 divide 4672\/14 + (-50)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, 5, -513?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m**2 + 9*m + 8. Let f(a) = a**2 - 2*a - 2. Calculate -9*f(h) - 2*j(h).\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4))**13)**(-2\/7)\/((x*x**(-1\/6))\/(((x*(x*x**(-5\/6)\/x*x*x)\/x)\/x)\/x*x)*x*x**0*x*x*x\/(x*x**5\/x)*x) assuming x is positive.\nAnswer: x**(-67\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*c + 19, -4*c + 10 = -6*c. Suppose -m = -d + 56. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 + 4*n**2 + 4*n + 2. Let m be p(-2). Let k(u) = 2*u**2 - 7*u + 20. Let d(b) = 5*b**2 - 21*b + 53. Let r(v) = 3*d(v) - 8*k(v). Give r(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/627 and 73\/792.\nAnswer: 15048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (54 + -74 + (8 - 1) + 60)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*w + 21. Suppose 0 = -w*t + 2*t + 35. Solve 4 = 3*f + t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 - 22*r + 3*r**3 + 282*r.\nAnswer: 6*r**3 + 260*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-15)\/10*1\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjhhhhhhjjhhhjhjjhh?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 + -68. Suppose 3*v - 2 - 10 = 0. Let m be q\/(v\/(-16))*1. Solve 0 = -m*j + 7 + 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -2*j - 2*u, -5*j + 4*u + 14 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -5, 22, 1.\nAnswer: -5, 1, 21, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-7)\/(-4)) + 104\/((-58656)\/(-2679))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -551*z - 22133 + 24324 + 56766 for z.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31.4 + 8.4. Let n = 664.9 - 687.945. Let m = f - n. Round m to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -67 - -3?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -92842110.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnqqqnrrprqqp. What is prob of picking 1 n, 2 r, and 1 p?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence syyn when four letters picked without replacement from {y: 2, n: 5, s: 6}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*p + 69*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**2 + 69*x + 3220. Let d be o(-41). Is -4652 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(468)*-2 + 5 + 1*-2*(sqrt(468) - sqrt(468)*2) + -3)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 21*c**2 + 15. Let f(b) = -b**2. Let s(x) = -5*f(x) - j(x). Differentiate s(i) with respect to i.\nAnswer: -32*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -365352792 by 690648.\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/36043, 21035, 2\/3 in increasing order.\nAnswer: -2\/36043, 2\/3, 21035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 5*t - 15 = 0. Suppose 4*n - 28400005 = -5*b, -t*n + 4*n + 5*b + 7099995 = 0. What is n rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.07685419 to 2 dps.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23145 + -1346604?\nAnswer: -1403052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2 - -5 - 2). Let j(a) be the second derivative of -a + 5\/12*a**4 + 0*a**2 + 0*a**x + 0. Factor j(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-40)*15\/18*3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49558 by 71.\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 23*p**2 - 22*p - 45. Determine k(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u + 34. Let j(n) = -18*n - 98. Let w be j(-6). Let i be q(w). Let c(s) = -s**2 + 7*s - 14. Determine c(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*l + 6*l + 2109 = -44*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -13*a**5 - 119*a**4 - 278*a**3 - 196*a**2 - 24*a = 0?\nAnswer: -6, -2, -1, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (sqrt(65)*-4 + sqrt(65) + sqrt(65))*4)\/((sqrt(125) + sqrt(5))*-3).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*t + 6, -3*n - 6 = -2*t - 9. Let d(l) be the second derivative of 1\/90*l**4 + 0 + 0*l**2 - 4\/45*l**t - 10*l. Suppose d(f) = 0. What is f?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 22024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1163 divided by -6\nAnswer: -1163\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-58)\/(330\/(-36) - -9) is divided by 89.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 171 = -182. Let h = 2\/65 + 24\/65. Sort h, 0, d in descending order.\nAnswer: d, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a - 6. Suppose -5*u = -4*l + l + 34, 2*l = a*u + 20. Calculate the remainder when 14 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, w: 7}. What is prob of picking 3 z?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -22, -27.\nAnswer: -27, -22, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 2:30 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j - 66. Determine d(-23).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 13033.\nAnswer: 15\/13033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**5 + 145*b**4 + 1535*b**3 + 7335*b**2 + 16200*b + 13500.\nAnswer: 5*(b + 3)**3*(b + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 + 4.1. Which is the third biggest value? (a) -0.07 (b) 1\/6 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from hsssphohjho?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3 - 14350*t**2 + 28703*t - 14352 = 0. What is t?\nAnswer: -14352, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 2*h**2 - 2*h + 2. Let v be 5\/(-25) - 21\/(-5). Let n be (12\/(-15))\/(v\/(-10)). What is g(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 30 = -15. Suppose 0*n - 2*n - 23 = 5*l, -23 = 5*n + l. Put f, n, -3 in increasing order.\nAnswer: f, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22004.524 rounded to the nearest 100?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/150 and -49\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 74, 0, 1\/2?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - -1217. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2717, -5 in descending order.\nAnswer: -1, -5, -2717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1, -3, 0, -4.8, -68 in descending order.\nAnswer: 1, 0, -0.2, -3, -4.8, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**41\/(((j*j**(1\/12)*j)\/j)\/((j\/j**5)\/j)) assuming j is positive.\nAnswer: j**(-565\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -26, 3, -0.33, -0.1, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08685 take away -2?\nAnswer: 2.08685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, y: 6, q: 1, t: 4, j: 2}. What is prob of sequence jyv?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 92454337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*h - 42 - 23, -5*h = u - 97. What is the greatest common factor of 130 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (6 - (15 + -13 + 6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -8*f + 6. Let u(o) = 12*o. Let r(a) = -1. Let k(h) = r(h) + u(h). Let i be k(f). What is the greatest common factor of 55 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 2*w**2 + w. Let i be a(-1). Suppose -3*y + 4*l - 90 = i, -49 = y + y + l. Is 4\/y - 148380\/(-156) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30652800 and 67456?\nAnswer: 3968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - u + 24 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 9, 14, 23, 36?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**3 + 6*d**2 + d - 2. Let o be m(-2). Let i(u) = u**3 + 5*u**2 + 6*u + 9. What is the remainder when 7 is divided by i(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4339822 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25538*g**3 - g**2 + 9274222.\nAnswer: -76614*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 18. Let p(x) = -x**2 + 3*x + 5. Let l be p(5). Put -3, l, h in increasing order.\nAnswer: l, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*s**4 - 39 - 34*s + 39 + 38*s wrt s?\nAnswer: 192*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -348*h - 2. Let i(m) = -2*m. Determine g(i(d)).\nAnswer: 696*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/192 and -109\/96.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2446)\/(-14) - 30\/735*-7. What is the highest common factor of s and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692639309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 129*v**2. Let q(b) = 2*b**2. What is q(t(i))?\nAnswer: 33282*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -35, -74, -151, -278, -467, -730, -1079?\nAnswer: -1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + d - 4*k = -36, -5*d + k = -45. What is the highest common divisor of d and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -26. Let z(i) be the third derivative of i**4\/12 - 21*i**2. Let d(f) = 4*f. Calculate x*z(t) - 4*d(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3924 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*(-15)\/(-12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -5*u - 33, o + 52 = 5*u + 89 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952203 is divided by 2289?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -670 in -2\/5, 0.191, -2, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/((a\/a**(2\/7))\/a)*a*a)*a*a**(-5)*a)**(-8\/5) assuming a is positive.\nAnswer: a**(352\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*9 - (8 - 10). Let c = d + -6. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8\/15 (b) 5\/3 (c) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -161005, -322012, -483019, -644026?\n\"Answer: -161007*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 5*h**2 - 2*h - 4. Determine p(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 268, 4, -1, 3, 21, 90 in increasing order.\nAnswer: -17, -1, 3, 4, 21, 90, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-2 - 465\/(-180)*-3).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 5, -448, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.91829 rounded to two dps?\nAnswer: -27.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**21*v**(-21))\/(v**(2\/43))**(-47) assuming v is positive.\nAnswer: v**(94\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*n**5*y - 88*n**5 + 2*n*y - 3258*n - y + 2 wrt n?\nAnswer: 860*n**3*y - 1760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 11:09 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 66 = w. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 10*k - 19. Let a be n(4). Suppose 6*z = 11*z - 20. Suppose 0*m - 4*q + 3 = -3*m, -z*q + a = 3*m. Solve -s - 1 = m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwbq when four letters picked without replacement from bbqw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 16, -5 in increasing order.\nAnswer: -5, -4, -3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 298.6998803 + -298.7. What is r rounded to 6 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**6\/3 + 676*x**5\/5 + 465*x**2 - 735. Find the second derivative of f(t) wrt t.\nAnswer: -40*t**3 + 8112*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-104 - -29) + (-10 + -21 - -16) - (7 + 1)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-7035)\/(-504))\/(-67)*(-2)\/5)\/(90\/(-54))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -21 - (-8 - (12 - 22 - -8)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 - -723. Suppose 2*w - 503 = c, -w = 12*c - 8*c - 229. Let h = j + w. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 4. Let b be h(-3). Suppose -5*z - z + 12 = 0. Differentiate -6*i**2 + 0*i**b + 3*i**z + 1 wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1512002 and 0.09?\nAnswer: 1512001.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -14 + 9 + (-14 - (14 - 28)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -9*t**3 + 1. Let x(h) = h**3 - 10*h**2 - 76*h + 16. Let g be x(15). Calculate c(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (472\/12)\/(2\/3). Let d = 95 + m. What is the greatest common factor of 14 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1.1. Let y(r) = r**3 - 8*r**2 + 4*r + 18. Let p be y(7). Which is the nearest to h? (a) p (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 129*n + 81 = -132*n, 3*w - 2*n = 77. Calculate the remainder when 1102 is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -9 - 2*s - 2*s + 2*s + 14*s**2 + 28 - s**3. Let a be n(14). Let p = 24 + a. What is the remainder when 28 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 4*o - 3. Let l be i(5). Let q(w) = w**3 + 4*w**2 + 3*w + 2. Let m be q(-2). What is the first derivative of -5 - 5*z**l + m + 2*z**2 wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -62*h**2 + 7*h + 11. Let r(u) = 31*u**2 - 4*u - 6. Calculate 7*r(x) + 4*v(x).\nAnswer: -31*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-78)\/4)\/((231\/(-1562))\/7) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxr when three letters picked without replacement from {d: 1, x: 1, k: 2, q: 1, r: 1, s: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4435 + 4542 = -6478*b + 6552*b - 421 for b.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.08 + 14. Let q = h - -0.08. Which is the closest to q? (a) -2 (b) 1\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-98875025)\/125 + (-2)\/(-10)*1. What is g rounded to the nearest 10000?\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-180)\/28 - 3. Let u = 0 + 1. Which is bigger: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*l**3 + 53*b**2*l**2 - 3*b**2 + 1185*b*l**3 wrt b?\nAnswer: -4*l**3 + 106*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 2\/18897, 0.08, 4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1206\/(-335))\/((-1)\/95)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -164\/1211 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a meter in millimeters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -7*m**2 - m - 2. Let v(p) be the second derivative of 5*p**4\/3 + p**3\/2 + 3*p**2 - 17*p - 14. Calculate 11*c(q) + 4*v(q).\nAnswer: 3*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25*(-45)\/2250)\/((-16)\/(-112))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1198128, -1198119, -1198098, -1198059, -1197996?\n\"Answer: z**3 + 2*z - 1198131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 2*b**3 - b**2)*(-330 + 658 + 14*b - 272).\nAnswer: 28*b**4 + 112*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) -0.5 (c) 0.6 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0\/3)*5. Suppose -5*m = -2*y - 96, -128 = -g*m + 5*y - 38. Let b be m*(9\/5 - 1). Calculate the greatest common divisor of b and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u + 5. Let n(d) = 4*d - 7. Let g = -85 + 157. Let i = 77 - g. Suppose 20 = -h + 5*c, h = 3*h + i*c - 5. Determine h*n(z) - 7*l(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -202 + 363. Does 23 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197102, -197067, -196972, -196787, -196482, -196027, -195392, -194547?\nAnswer: -193462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-39468)\/6699 - 15\/(-435).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -21*n**5\/10 - 7*n**3\/6 - 32*n. Find the second derivative of w(j) wrt j.\nAnswer: -252*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*l + 4*l - 96. Let u be ((-4)\/l)\/((-58)\/87). Solve 0 = b - 5*b + 4*h + 32, 0 = -b + u*h + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - w + 0*w + (-5 - 1 + 5)*(-2*w - 2*w + 3*w) + 2*w - 4 - 2 + 0 + 7*w - 44 + 44 in the form o*w + z and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 32.59308 milligrams?\nAnswer: 0.00000003259308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgh when three letters picked without replacement from hhhgghhhhh.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g**(-2)\/g)*g))\/g**6*(g**(-1))**22 assuming g is positive.\nAnswer: g**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**3\/6 + 45*d**2 + 3*d. Let y be h(0). Suppose 0*l + y = 3*l. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 959736?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d*u**3*x**2 + d*u**3 + 40*d*x**2 + 4*d*x - 2*u**3*x**2 + 17*u**3*x - u*x wrt x.\nAnswer: 6*d*u**3 + 80*d - 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/((-26)\/4) + 3849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2*j + 0*j)*(385 - 92*j - 385).\nAnswer: 276*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - 13*z - 2. Let m(t) = 3*t**2 - 25*t - 4. Let c(r) = 7*r**2 - 48*r - 10. Let n be c(7). Calculate n*m(k) + 5*j(k).\nAnswer: k**2 + 10*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q - 1. Let x(s) = -5 - 33894*s + 2 + 33905*s. What is -5*u(h) + x(h)?\nAnswer: 6*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {t: 1, j: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -1581*t**6\/40 + 43*t**4\/6 + 5*t**3\/6 + 4*t**2 - 2*t + 24. Find the second derivative of b(i) wrt i.\nAnswer: -28458*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence boo when three letters picked without replacement from {m: 3, b: 1, p: 1, o: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59\/2 - 1109\/38. Let d = 55\/114 - v. Is d >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/40*26 - 1242\/138. Let b = 2 - 1. What is the closest to b in o, 0.3, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29*(-44)\/638*15?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-29)\/(-3))\/(7\/63). Let f(q) = -87 + q + z. Let y(d) = d. Calculate y(f(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 330934482 to the power of 1\/3, to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2. Let d(q) = -q**3 - 34*q**2 - 63*q + 56. Let c be d(-32). Let z(s) be the first derivative of -1\/2*s**2 + c + 0*s. What is z(i(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56028*m - 28030*m + 1050 = 28019*m for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2. Let f(t) = 33*t - 2*t - 175*t - 36*t - 131*t. Calculate f(b(y)).\nAnswer: -311*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(117) + sqrt(117) + 0 + sqrt(117) + sqrt(39)\/sqrt(3) + 5)*6)**2.\nAnswer: 3600*sqrt(13) + 47704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)\/(c**(-7)*c)*(c**(-2\/7))**(-10))\/(c**5\/c**(2\/21)*c\/(c**1\/c)*c*(c\/(c*c*c**(-4)))\/c) assuming c is positive.\nAnswer: c**(-85\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2434 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15106213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10985354 to the power of 1\/3, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 15 = 0, -z + 70 = -5*d - 0*z. Let x(p) = -3*p**2 - 25*p - 46. Let r be x(-4). Is 3 a factor of (-520)\/d - r\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(68) + 0 + 0 + sqrt(68)).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqrqqqqqqqq. What is prob of picking 4 q?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4*f + 41, -1 = -3*y - 3*f + 2. Let u = -23.53 + -0.47. Let g = 24.4 + u. What is the closest to 1\/3 in -1, y, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2 - 1 - 2 - 4*w. Let h be (1 - 5) + -16 + 17. What is u(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 o when three letters picked without replacement from {t: 4, z: 5, o: 2, g: 2, n: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/13)*q*q**6*q*(q*q\/((q\/(q\/((q*q**(-2\/5))\/q)))\/q)*q)**33 assuming q is positive.\nAnswer: q**(9948\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 6*o**2 - 3*o - 5. Let h be u(5). Let r = 3.7 + -3. Let p = 0.7 - r. Which is the third smallest value? (a) p (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 22890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1005 (base 7) to base 5\nAnswer: -2343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/5)\/((-380)\/1558).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -13 + 8\/(-2) - 7. Let u be (-6)\/d*-2 + 25\/10. Put u, -18, 3 in descending order.\nAnswer: 3, u, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 458 - 159. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -3, -20054, -4, -5 in decreasing order.\nAnswer: 11, -3, -4, -5, -20054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1006764752 and 272?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6 - -23.6. Let k = 13 - y. Let m = k + 7.9. Is m less than -5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/51, 0.1, -1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5\/3 - 151*p**4\/3 + 3295*p**3\/3 - 5620*p**2 + 10644*p - 6768 = 0. What is p?\nAnswer: -94, 3\/2, 2, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - 2*l - 2. Let x be j(2). Differentiate -16*v**x + 0*v**2 - 6*v**2 + 7*v**2 + 18 with respect to v.\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2\/4 + 538*j + 4288 = 0 for j.\nAnswer: -2144, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -119903325 divided by -75\nAnswer: 1598711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/8 + -6 - (2800\/128)\/(-35). Factor 0 - 1\/2*v + 1\/2*v**3 + y*v**2 - 1\/4*v**4.\nAnswer: -v*(v - 2)*(v - 1)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - a. Let q(m) = -5*m**3 + 5*m - 2. Let s(o) = 2*g(o) + q(o). Let t be s(1). Let r be (-28)\/(-14)*7\/t. Is r < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r + 205 - 7. Calculate the smallest common multiple of r and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -15*r + 2. Let o(w) = -8*w + 1. Calculate 10*o(l) - 6*v(l).\nAnswer: 10*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**2 + 2*n - 2. Let l(o) be the second derivative of -o**4\/12 + o**3\/6 - o**2\/2 + 24*o. What is -6*l(r) + 3*z(r)?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 10:43 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -611*z + 17 = -615*z - w, 5*w = 5*z - 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-157 + 22)) + -53?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0\/(l**(-3)\/l))\/(l*l\/(l\/(l**0*l)))**(2\/9))\/((l*l**(5\/6))\/(l\/(l\/l**3)))**43 assuming l is positive.\nAnswer: l**(967\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002012853409 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1364 - -1363.8. Sort -0.1, -16, s, -1 in ascending order.\nAnswer: -16, -1, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**6\/40 - u**5\/20 + u**4\/8 + u**3\/2 + 22*u**2. Let m(f) = -f**2 + f + 1. Determine 3*m(z) - x(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 2*i**2 + 0*i**2. Let n(z) = 10*z**2. Calculate d(n(w)).\nAnswer: 100*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000275934 to 6 decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q**3 + q + 1. Suppose 0 = -5*l - 15, -2*l - 14 = 4*s - 4. Calculate o(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -212710 + -277?\nAnswer: -213207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83*a**3 - 40439*a**2*h + 7*a*h + 4*a - 1435*h + 123 wrt a.\nAnswer: 498*a - 80878*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (36\/198)\/(4\/11)*10. Suppose 16*x - 18*x + 11157 = b, -u*b - 22321 = -4*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(3500) + sqrt(3500)*-1*-4))\/(((sqrt(252) + sqrt(252)*-3)*3)\/sqrt(4)))**2.\nAnswer: 78125\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in milliseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -856314, -1712547, -2568700, -3424773, -4280766?\nAnswer: -5136679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9810 + 1167387\/119. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -1\/3, -5 in descending order.\nAnswer: 0.8, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1035.63403 rounded to one dp?\nAnswer: -1035.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.16, -6, -7, -0.2, 77 in descending order.\nAnswer: 77, -0.16, -0.2, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 3*p + 3*p)*(-2 + 2 - 2*p**2) + 3*p**3 - 2*p**3 + 0*p**3 + (-2 - 2*p**2 + 2)*(4 - 4 - p) + 21*p**3 - 9*p**3 + 12*p**3 - 4*p**3 - 4*p + 4*p.\nAnswer: 21*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3763.01 to the nearest 100.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00520894626 to 4 decimal places.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 - q**3 + q**2 + (4*q**2 - 4*q**2 + q**2)*(1 - q - 5 + 3) in the form w + x*q**3 + u*q**2 + d*q and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/24 - 2\/3. Let y be -2 + (3 + i - 4). Put -1, y, -5 in increasing order.\nAnswer: -5, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85514 and 8602.\nAnswer: 1453738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -7 (c) 4 (d) -2\/13 (e) 2171\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3918858 centimeters to kilometers.\nAnswer: 0.000003918858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473502 is divided by 307?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -23. Let i = 2 + -1.9. Which is the biggest value? (a) i (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6294, 6269, 6246, 6225?\n\"Answer: i**2 - 28*i + 6321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.4 - 1.4. Which is the third biggest value? (a) -18 (b) 0 (c) -0.2 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 78*s - 112. Give z(1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 - -1. Let k = -373.97 + 466. Let n = k + -92. What is the second biggest value in i, -0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -47*l**5\/60 + 53*l**2\/2 + 15*l. Let x(a) be the first derivative of m(a). Let c(f) = 2*f. Determine x(c(s)).\nAnswer: -188*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.246 - -0.146. Let n be 5 + -2 + 6\/(-1). Which is the closest to 0.1? (a) n (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 174 - 169. What is the second derivative of -18*z**2 - 12*z - n*z - 15*z - 15*z**2 wrt z?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 851 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221 - -430200310?\nAnswer: 430201031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + 31. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 1, l: 9, k: 4}. What is prob of sequence jl?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 3:20 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 2*h**2 + 2*h - 3. Suppose 2506 = -10*q - 514. Let p = q + 305. Calculate r(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 2*t + 5*t)*(-2 - 4 - 6)*(-304*t + 705 - 705).\nAnswer: 3648*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.8 + 5.8. Let j = c - 6. What is the biggest value in -4, j, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22302 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -129 - -129. Suppose -25*z - 19*z - 220 = v. Which is the second biggest value? (a) -1\/8 (b) 4 (c) z (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2700 and 250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -792 = 4*g - 4*p, 168*p - 408 = 2*g + 165*p. Suppose n = -9*a + 4*a - 926, 0 = 3*a + 3*n + 546. Is g equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**5\/20 + m**4\/6 - m**3\/2 - m**2 - m. Let w(v) = v - 3. Let r be w(4). Let a = -3 + r. Give z(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*(-2)\/(-5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85018899751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*p + 41. Let w(m) = m**3 + m**2 + m - 1. Calculate the remainder when p is divided by w(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-75)\/(-50)*188\/6. Suppose -8*b + l = -33. Let h(j) = -2*j - 4. Determine h(b).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-13)\/r*r\/(r*r**(-17)*r*r) assuming r is positive.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3c8ba9 (base 13) to base 12\nAnswer: 5b2335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7925 divided by 1.\nAnswer: -7925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-3)\/6 - 0). Suppose 5*a - a = q*j + 36, 0 = 4*j + 2*a + 22. Let p be (-1)\/2 - (9 + j). Is p less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106575 and 21?\nAnswer: 106575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 7) in base 3?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j. Let d(o) = -8*o. Let t(b) = 5*d(b) + 6*n(b). Let p(m) be the third derivative of m**5\/60 - 9*m**2. What is t(p(i))?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1452, -1473, -1500, -1533, -1572, -1617, -1668?\nAnswer: -1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11 - -4.11. Which is the closest to 1? (a) 2\/7 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -737, -1492, -2247?\n\"Answer: -755*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 20*h**2 + 60*h + 77. What is x(16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4468\/8936)\/(1 - 22\/24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 2:49 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -440410?\nAnswer: 440404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 12*g**2 + 19*g - 10. Let a be r(-10). Suppose 2*h - 5*h - 5*y + 105 = a, h - 27 = y. What is the greatest common factor of 110 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -82 (b) 2\/9 (c) -1\/5 (d) 98 (e) 5\/2 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z**2 - 3*z**2 + 2*z**2)*(-3*z + 12 - 12) + z**3 + 5*z**3 - 3*z**3 as y + n*z**2 + l*z + t*z**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d362 (base 15) in base 5?\nAnswer: 30402032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50966 + -45583.8. Round k to the nearest 10.\nAnswer: 5380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33496)\/(-87690) - (-2)\/111?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 27644 (b) -3 (c) -2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 + -38. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -1772*h**5\/5 + 7210*h**3\/3 + 2*h + 12384. Find the third derivative of u(o) wrt o.\nAnswer: -42528*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -565 and -4872355.\nAnswer: -4872920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 7*n = 4*w + 5, -2*n = -5*w - 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 200852242, 401704482, 602556720, 803408956, 1004261190, 1205113422, 1405965652?\n\"Answer: -r**2 + 200852243*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from {e: 6, b: 2, v: 5, o: 1, a: 1, l: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -19 (b) 13\/5 (c) -11 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.443 rounded to 1 decimal place?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixty-nine halves of a day?\nAnswer: 828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/9 - 1385*i\/9 + 154 = 0. What is i?\nAnswer: -1386, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748664.\nAnswer: 2, 7, 29, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g*n*u**4 + g*n*u + 264838*g*u**2 + 5*g + 11941*n + 8*u wrt u.\nAnswer: -36*g*n*u**2 + 529676*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -17) + 0 + 1 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -377, -702, -1011, -1298, -1557, -1782?\n\"Answer: d**3 + 2*d**2 - 338*d - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(88)\/sqrt(8)*-5 + (2*sqrt(55))\/sqrt(5) - (sqrt(55) - 3*(sqrt(220) + sqrt(55) + sqrt(55)))\/(2*sqrt(5)*-5))*-6)**2.\nAnswer: 166419\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 137021 and 210897.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k - 4. Let p be m(-3). Suppose 3*l = 4*l + 6. Let f = l + p. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*y**2 - 60*y - 9.\nAnswer: 3*(y - 3)*(7*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1025, -2, -30, 11 in increasing order.\nAnswer: -30, -2, 11, 1025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/3 + 132\/9. Calculate the greatest common factor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 12 + 0 = 0. Suppose 74 = 6*c - d*c. Suppose -7*w = -2*w + 3*z - c, 3*w + 4*z = 20. Solve 2*m = -2*m - w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 13 = -2. Suppose 7*j = 4*j - 3*s + 42, r*j - 3*s = 60. Let b = j - 6. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/9 + (-10600)\/9540.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 3*v + v. Suppose 5*h + 3*m + 2*m - 65 = 0, 2*m = -5*h + 77. Let p = h + v. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/3, -3, -3198, 99, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535264 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.8 minus 1.16572?\nAnswer: 121.63428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*t + 82*t - 26*t + 71*t.\nAnswer: 237*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + 118. Suppose -17*k = k - o. Calculate the remainder when 23 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 3*h - 4. Let k = 8 + -7. Calculate the least common multiple of k and d(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 106*f**2 + 104*f + 112. What is r(-3)?\nAnswer: 754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -1. Suppose 215 = 5*h - 4*d, -4*h + 2*d + 168 = -10. Let t = 9 + h. Calculate the highest common divisor of t and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40502 divided by -22.\nAnswer: 1841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*n*u**2 - 270*n*u - 1317*u**2 + 122*u wrt u.\nAnswer: -16*n - 2634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 145*h**3 - 5 + 7*h**2 + 143*h**3 - 6*h**2. Suppose a - 4 + 12 = 0. Let t(g) = 3*g**3 - 2*g**2 + 2*g + 8. Determine a*b(r) - 5*t(r).\nAnswer: r**3 + 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 h when three letters picked without replacement from {h: 4, s: 1, a: 1, w: 1, j: 4, m: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/63473514 and 113\/29295468.\nAnswer: 380841084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1323) - (sqrt(1323) - (sqrt(1323) - (sqrt(1323) + -2*sqrt(1323)*-5))))\/(sqrt(81)\/((sqrt(108)*1)\/sqrt(12))).\nAnswer: -70*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -4, -12.5, 11, -2.47, -0.5, -5?\nAnswer: -12.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041151 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18294?\nAnswer: 2, 3, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5256908409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**8\/6720 + a**7\/504 + a**5\/24 + a**4\/4 - 5*a. Let g(t) be the third derivative of o(t). Give g(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**2 - 13*f**2 - 2719*f**3 + 2*f**2 + 2*f**2.\nAnswer: -2719*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from {h: 1, z: 1, e: 2, v: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0054287 to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*v - 4*d + 2, -1 = -d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 37*i**2 - 234*i + 9. Calculate g(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 9*k**2 + 1. Let r = 8 + -9. List the prime factors of w(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t = -17 - 61 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 103*y**2 + 281*y + 7. Let t(u) = 29*u**2 + 94*u + 2. Let c(j) = 7*t(j) - 2*x(j). Factor c(w).\nAnswer: -3*w*(w - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59674747?\nAnswer: 11, 37, 151, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 12 = 6*x. Suppose 10*h = x*h. Let a = h - -6. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 314a (base 13) to base 8.\nAnswer: 15246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 139048?\nAnswer: -1390.48","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Collect the terms in -6641*l**2 + 8*l**3 + 46 - 128 + 6643*l**2 + 54.\nAnswer: 8*l**3 + 2*l**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/304 and 47\/589.\nAnswer: 9424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -8*m - 7. Let d(c) = 4*c + 4. Let v(j) = 7*d(j) + 4*u(j). Let z(k) = 2*k. Determine z(v(x)).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 4. Let h be l(0). Let a(b) = -h + 0 + 4 + 2*b. Let o(p) = -p**2. Give o(a(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*j - 214 + 28*j - 121*j)*(1 + 5 - 4)*(-3 + 0 + 1).\nAnswer: 60*j + 856","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4 - 18. Suppose c*n - 10*n - 192 = 0. Calculate the greatest common factor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + ((sqrt(102)*-1 - sqrt(102))*-6 - sqrt(102) - sqrt(102)))\/sqrt(6).\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 3 + 1 - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 10 + 430. Let g(x) = h + 2*x - 221 + 111. Let r(k) = -2*k - 3. Give r(g(i)).\nAnswer: -4*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1050 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o*o*o**(-6\/13))*o)*o**(-12)*o**(7\/3)\/(o\/((o\/(o**(2\/11)*o))\/o*o)*o*o) assuming o is positive.\nAnswer: o**(-5281\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -212, 3959, -11 in descending order.\nAnswer: 3959, -11, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 + -0.4. Let g = -11 - -16. Let m = -5 - -4.7. Which is the nearest to h? (a) -3 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -3*b + 6*p + 15, 2*b - 14 = 4*p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {r: 1, o: 1, h: 1, m: 1, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100012222 - 11?\nAnswer: -100020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -11*m - 6. Let w be d(-4). Let p = -24 + w. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -52*g + 1829. Calculate n(38).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/(88\/(-16)) - (-32)\/18. Which is the nearest to 1? (a) s (b) -0.3 (c) -21\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 + 5*x**2 - 14*x - 4. Determine q(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4315 is divided by 169.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -8, 9, 30 in increasing order.\nAnswer: -8, -4, 2, 9, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2316 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 792 divide 651047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -9*x + 36. Let p(v) = v**3 + v**2 - 3*v - 1. Let w(o) = 3*o**2 + o**2 - 5*o**2 + o. Calculate x*p(u) + 3*w(u).\nAnswer: u**3 - 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*w - 82 = 173. Let d = 57 + -28. Let j = -18 + d. Put 1, w, -1, j in increasing order.\nAnswer: w, -1, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470831?\nAnswer: 470831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*g**3*w**2 - 3099*g**3 - 154*g**2*w**3 wrt w.\nAnswer: 20*g**3*w - 462*g**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 + 84. Let w(q) = -q**2 - 8*q + 18. Let y be w(o). What is the third smallest value in -1.1, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9747 is divided by 130.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**2*s**4 - 95*d**2*s**2 + d**2*s - 2*d*s**2 - 7*s**5 + s**4 wrt s?\nAnswer: -72*d**2*s - 420*s**2 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44671212 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4889 (base 13) to base 9.\nAnswer: 15052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/4))**(2\/19)\/((b*b**(1\/4)*b)\/b*b**(-3\/7)) assuming b is positive.\nAnswer: b**(-451\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**8\/112 + v**4\/6 + 3*v**2. What is the second derivative of z(j) wrt j?\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 278, -38, 5, -27 in descending order.\nAnswer: 278, 5, -27, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 4*s**2 + 4*s**2 + (-3 + 3 + s)*(0*s - 2*s + 5*s))*(-4*s + 2*s - s).\nAnswer: -18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j - 7. What is u(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112402.7 nanometers to micrometers.\nAnswer: 112.4027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.845024km in meters?\nAnswer: 4845.024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7974362?\nAnswer: 2, 11, 29, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Let n = 0 - -3. Let s = -2020 + 2019.7. Which is the nearest to o? (a) s (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -132\/5, -318?\nAnswer: -132\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n + 4*d + 11, -2*n - 2*d + 2 = 0. Let i(r) = 6*r + 4. Let p be i(-1). What is the common denominator of 51\/8 and p*(-2 - n\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1882 is divided by 100?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110111100111101001 - -1100?\nAnswer: 10110111100111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 7*n**2\/2 - n - 1. Let r(s) = -s**2 - 5*s + 1. Let p be r(-5). Suppose 6*g = -p - 5. Calculate y(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(1 - 2 + 3)*(3 - 7*g - 4 - 2)*(-4 + 1 - 2).\nAnswer: 210*g + 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 5*h + 10291 = 10178, h - 7 = 6*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275*k = 318*k - 26144. What is the lowest common multiple of k and 56?\nAnswer: 4256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {l: 4, a: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2)\/(r*r*r**(2\/7))*r\/(r\/r**(3\/13))*(r*r\/(r*r**7))\/r*r*r assuming r is positive.\nAnswer: r**(-824\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = h + 9, -3*t + 5 = 2*t + h. Let s be 11 + t + (-2 - -3). Solve -5*d + s = o, 2*o - 2 = 3*d - 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 32 = 4*v, -x - 2*v + v = -1. Let m be 78\/21 - 4\/(-14). Suppose 2*p + m = -0. Sort p, 5, x.\nAnswer: x, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1136 and 36.\nAnswer: 10224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 122*g**2 + 1086*g - 255. What is the thousands digit of s(-111)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = 4*u, 5*q = -3*u - 4 + 21. Solve -2 - q = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 12*u + 16. Suppose 3*h - 37 = -4. Let c be o(h). What is the units digit of (23\/(-2))\/(c\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from wxwxjiiwxwjixjsi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (382\/1)\/2 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 4. Let o(v) = v**3 - 6*v**2 + v + 2. Let j be o(6). Let n(g) = 8 - g - g + 8 - 5. Calculate j*t(z) + 3*n(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, s: 11, j: 1}. Give prob of picking 3 u and 1 s.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 0*l**2 - 2*l**2 + l**2. Let r(n) be the second derivative of n**5\/20 + 31*n**2\/2 - 13*n. Let h(c) be the first derivative of r(c). Give v(h(p)).\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*w = 10. Suppose 6 = 2*o, 0 = -4*a - 3*o - 1 + w. Let t(c) = 6*c**2 - 2*c - 2. Let b be t(-1). Solve a = s - 4*s - b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91091460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -545949 + -1383034.\nAnswer: -1928983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 + x + 2. What is n(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3352980?\nAnswer: 2, 3, 5, 29, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11730.\nAnswer: 2, 3, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 50 = 5*j - 41, 0 = 14*n + 8*j - 9*j + 5*j + 452 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 638424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/((sqrt(88) - (sqrt(88)*-3 + sqrt(88)))\/sqrt(11)))\/(sqrt(21)\/(sqrt(7) - sqrt(847)*2)).\nAnswer: -14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*l + 92 + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 14, m: 1}. Give prob of sequence jj.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 10:40 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*a - 8. Let p(o) = o**3 - o**2 - 4*o - 1. Let k be p(3). Calculate the greatest common factor of a and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125865 divided by -1?\nAnswer: 125865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21033331 - 2?\nAnswer: -21033333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 993783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 6376*s**2 - 109268*s - 451080.\nAnswer: 4*(s - 1611)*(s + 7)*(s + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -22983?\nAnswer: 22978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -22*m - 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 58, -4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 84344.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 899.8678 litres to millilitres.\nAnswer: 899867.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2427 is divided by 803.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -5. Let k(h) = 0*h + 0*h + d*h. Let i(b) = b + 6. Let y be i(-4). Give k(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 26*a - 25*a - 1 - 1. Let f be h(5). Let c = 1659 - 1656. Solve -f*i = -2*g - 4, 5*i + g - c*g = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22 + -1 + 0\/7)*3. Let b = p + 72. Solve -n + 5*j - 10 = 0, 4*n + 4 - 15 = b*j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 447.66 * 0.09.\nAnswer: 40.2894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((5 - 3) + 3)*36\/30. Suppose 0*v = -2*v + 110. Let j be (d\/10)\/((-11)\/v). Which is the third biggest value? (a) 0.5 (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(294)*-1*-2 + (sqrt(294) - 6*-1*sqrt(294)))\/(sqrt(243) + -1*-1*sqrt(243) + -1*(sqrt(243) + sqrt(243)*-1)).\nAnswer: -4 + 7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c - 3. Let q = 8 - 12. Let p be (q - (-10 + 3))*-1. What is i(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 0 (c) -1\/4 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-98)*2\/(-8)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-126)\/(-33) + 4\/22. Suppose 0 = -d*z + 3*p + 49, z - 5*p + 31 = 3*z. What is the greatest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 377*t - 7933. Calculate q(21).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 2. Suppose 0 = -x - 4*r + 33, -699*x + 5*r + 6 = -695*x. Let f(g) = -3*g**2 + 9. Calculate x*l(c) + 2*f(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10abb (base 12) in base 13?\nAnswer: a20b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.03 + -0.91. Let s = -1.28 - r. Which is greater: 2\/3 or s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(153) + -3) - (sqrt(153) + 4 + sqrt(153) + 2))**2 + (2 + 1*sqrt(153) + sqrt(153) + 6*(sqrt(153) + 0))*4.\nAnswer: -120*sqrt(17) + 5552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*g - 1645 = 0, 4*q + 5*g = 1404 - 106. Suppose u - 3*v = -u + 167, v = -4*u + q. Calculate the remainder when u is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*a = -a + 15, -a = 0. Sort -2, -1, d, 4 in descending order.\nAnswer: d, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 0*n**3 + 0*n**2 + 2\/5*n**6 - n**4 - 1\/5*n**5 + 43 + 2\/21*n**7 + n. Determine i, given that b(i) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*s**3*x - 5691*s**3 + 2*s*x + 26*x**2 wrt x.\nAnswer: -18*s**3 + 2*s + 52*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.8 times 12.21?\nAnswer: -339.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 + 375*w**2 + 493*w + 13943. Calculate y(189).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9060*p**2 - 9060*p**2 + 69*p**4 + (2*p + 2*p - 3*p)*(-10*p**3 + 6*p**3 - 2*p**3) + (-3 + 3 - 4)*(-3*p**4 + 2*p**4 - p**4) + p**4 + p**4 - p**4.\nAnswer: 72*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h + 4*h - 50*h**2 + 41*h**2.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 9*m + 2815 = 5*j, -4*j + 1685 = 3*m. Solve -17*w + 618 = m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)*5*-2)\/sqrt(4))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 285 = -6*c - i, -3*c = -5*i - 185. What is the remainder when c is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-3) - ((-69)\/9 - -8). Put -3, 116, o in ascending order.\nAnswer: -3, o, 116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 581213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 20 - 22. Let y = l + -40. Solve 5*n + 25 = 5*u, 2*u - y*n + 4*n + 10 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15 - -1) + 4 + -6. Let x(z) = -4 + 20*z + a - 21*z. What is x(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/(-6))\/((-6)\/27). Let w = -2 - a. Let s(n) = 23*n - 44. Does 37 divide s(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -211 - -256 - (5 + -14).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8906161?\nAnswer: 11, 29, 27919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -11*r**7\/42 + 97*r**3\/6 + 22*r**2. Differentiate c(z) with respect to z.\nAnswer: -220*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**2 + 225824800*n + 2549842014752000 = 0.\nAnswer: -22582480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -20. Is (3 + -2)\/(2\/r) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 8*n + 7. Let w be d(6). What is the biggest value in -2\/5, w, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 147 in 32, 5, -4\/9, 7\/2?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -373 + 53?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 1775. Let v(b) = -b - 1733. What is 3*c(f) - 4*v(f)?\nAnswer: f + 1607","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**(-10)\/u)\/u)*u**(2\/7))**(-2\/175) assuming u is positive.\nAnswer: u**(-186\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, s: 3, y: 1, q: 2, h: 3}. Give prob of sequence yvqh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109789*a**2 + 259*a + 302 wrt a?\nAnswer: 219578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1, 1.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57954.46 millilitres in litres?\nAnswer: 57.95446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**3 - 324*m**2 - 6396*m + 6724 = 0 for m.\nAnswer: -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(162) + -2 + sqrt(162) + -2 + 1 + sqrt(162) - -6*-5*(3 + sqrt(162)))**2*-3*3.\nAnswer: -1135782 - 393660*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48937*l*y**4 - 15*l*y**2 - 158*l*y + 1990*l + 179*y**6 - 3*y**2 + y + 1 wrt y?\nAnswer: -1174488*l*y + 21480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 120.66425 and 5?\nAnswer: 603.32125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-940)\/70*(-420)\/19740.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) - (0 + sqrt(128)) - (sqrt(32) + -1)*4 - (3 + sqrt(256)\/sqrt(8)*1))**2.\nAnswer: -48*sqrt(2) + 1153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 + 0*p**4 + 0*p**4 + (4 - 1 - 5)*(6*p**4 - 3*p**4 - p**4) - 2*p**4 + p**3 - p**3)*(-5 - 3 - 1).\nAnswer: 45*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -66 + 220 + 28*d - 59 - 50 in the form z*d + c and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 152\/3 + 74\/3*h - 1\/3*h**2 = 0?\nAnswer: -2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**2 - 4*y + 1. Let z(x) = 6*x**2 + 9*x - 2. Let f be (-649)\/(-220) - (121\/(-20) + 6). Determine f*z(w) + 7*r(w).\nAnswer: -3*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14609947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -16. Let u = z - -15.12. Let k = u + -0.12. Which is the smallest value? (a) 1 (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -557601 and -0.04.\nAnswer: -557601.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5200 = 5*n + 1465. Suppose n = 26*q - 397. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535*a + 355*a = -2067*a - 48696 + 1384 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 62.89 and 20?\nAnswer: 1257.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57882 divided by 28941.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 15. Let w(n) = -n**2 - 10*n + 13. List the prime factors of w(b).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h + 1. Let j(o) = -5*o - 27. Let c be j(-6). Let q(g) = -c*g + 9*g - 3*g - 4*g. Determine y(q(t)).\nAnswer: -4*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*v + 4*v**4 + 3*v - 6*v**4 - 24*v**4 wrt v?\nAnswer: -312*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330221 (base 4) to base 8.\nAnswer: 7451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 - 2*z + 3. Let v be g(2). Let s(l) = 7*l**2 + 43*l + 3. List the prime factors of s(v).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nncc when four letters picked without replacement from {c: 2, n: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2*a - 19 = 3*p, 3*a - 67*p + 120 - 409 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.03 - 0.03. Let s = -2 - u. Let a = 1.94 + s. What is a rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 93748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12935, -25859, -38699, -51455, -64127, -76715, -89219?\n\"Answer: 42*h**2 - 13050*h + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -3. Let i be p*3 + -2 + 3. Is 17 a factor of (-4 - i) + 14*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -41, 0.95, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223102221 (base 4) to base 13.\nAnswer: -62931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 794*i**4*k**3 - i**4 - 22*i**2*k**2 + k**3 + 4 wrt i.\nAnswer: 19056*i*k**3 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 3, 11.\nAnswer: 0, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*j - j - 2*j)*(-4 + 3 + 3) - j + 0*j + 2*j + j - 5*j + 0*j - 31 + 3*j + 31)*(-2*j + j + 3*j + 1)*(-41 + 19 + 70) as x*j + q + p*j**2 and give p.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -127, 5, 19 in decreasing order.\nAnswer: 19, 5, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102 by -17.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79046126 and 9411?\nAnswer: 3137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*d + 2*o, -2*o = o - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(sqrt(9)*-1))\/sqrt(7).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*-20\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184787972 and 3244.\nAnswer: 3244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3055 (base 15) to base 16.\nAnswer: -27dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5 - 13*f**4 - 58*f**3 - 88*f**2 + 32*f + 128.\nAnswer: -(f - 1)*(f + 2)*(f + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 401\/540 - -1\/135. Let q = 2.6 - -2.4. Which is the closest to -1? (a) q (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 22*c**2 + 0 - 1\/6*c**3 - 7*c. Does 22 divide n(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12833753 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -197*s**2 - 1549*s.\nAnswer: -394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 9 = 3. List the prime factors of 3 + 3*(g - 2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 65*(-17 + 16)\/(10\/(-148)). Let k = 506\/755 + 4364639\/4530. Let t = b - k. What is the common denominator of -30\/47 and t?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -3 + (15 - 11)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 290 + 285 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100*f**2*j**2 + f**2 - 5*f*j**2 - 2*f*j + 26*f wrt f?\nAnswer: 200*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, 2\/5, -2, 22, -62?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1138367997?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 8*l. Solve -3*k + 0*k - 2*t - 3 = l, 0 = -2*k + t - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y + 178. Let j be n(34). Suppose j*x - 36*x - 2466 = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -87 and 477.\nAnswer: -41499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, h: 7}. What is prob of sequence hch?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/9 + (-2)\/(-6). Suppose -3*n = -d*n - 114. Let b = -48 + 68. Calculate the remainder when n is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.83558759 * 0.4\nAnswer: 0.334235036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9966, -8631, -5012, 2031, 13638, 30949, 55104?\nAnswer: 87243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = 120*p + 6236 - 1676 for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 87.629837784 + -797\nAnswer: -709.370162216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1674 - -7772?\nAnswer: 11666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -15*i - 3. Suppose -5*n + 16 = -4. Let t(g) = 15*g + 4. Calculate n*c(a) + 3*t(a).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 29, 65, 115, 185, 281, 409?\n\"Answer: d**3 + d**2 + 26*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-1125)*25*69.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - l - 84*l**2 - 2*l**3 + 81*l**2 + 5*l**3 + 5. Let a(s) = s**3 - s**2 + 1. Calculate 3*a(g) - i(g).\nAnswer: -g**3 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66029, 66018, 65999, 65972?\nAnswer: 65937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*61\/(-122)*56?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 2120034020?\nAnswer: -2120034013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 14 + -2 - 10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209)*-3 - sqrt(209)) + sqrt(209) - sqrt(209))*4)\/(4*(sqrt(11) + sqrt(77)\/sqrt(7))) + (5 + sqrt(1216)*-4 - (sqrt(1216)*-3 + -3)).\nAnswer: -10*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 11:40 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 53\/6 (b) -7 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 t when three letters picked without replacement from wwtwwtttttwttwwtttt?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-3*k - 1 + 1)*(2*k - k - 3*k) + 6*k**2 + 3*k**2 + 2*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 + -11. Let r be (l\/(-55))\/(4\/(-10)). Find the third derivative of -5*c**r + 13*c**4 + 0*c**2 - 4*c**4 + 7*c**4 wrt c.\nAnswer: 384*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -3551531.082.\nAnswer: 3551530.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -17\/9 and 1175 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-3 - -5) - -7 - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdpjjpjjjjjjjjdjdpjd. Give prob of picking 1 d, 2 j, and 1 p.\nAnswer: 312\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 0.5, -1, -20\/537?\nAnswer: -20\/537","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 5*m + 30, 5*z - 2*m + 2 = -19. Let s be (16\/20)\/((-2)\/z). Let o be (-1)\/2*s*-8. Calculate the highest common divisor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76200 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y - 3. Let g be l(5). Let j(w) = -w**3 + 8*w**2 - 6*w + 1. Give j(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 38. Let j = x - 24. Suppose -j - 1 = -s. Solve -2*g = s*r + r - 10, -3*r + 14 = 4*g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12660.53 times -0.1\nAnswer: 1266.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 5*w**2 + 191*w + 19. Determine p(-17).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 2*b - b)*(-2*b + b + 0*b)*(-28*b + 1 - 3*b + 10*b).\nAnswer: 63*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*b + 6 = z, -4*z - b = -12. Suppose 3*n = n - 4*k - 2, 0 = -5*n - 4*k + 13. Solve 2*g - z*g = -n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1089*c + 956*c + 3820*c + 11960 = -11500 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 6. Let c(j) = j**3 - 6*j**2 + 7*j - 4. Let q be c(5). Let d be m(q). Suppose d = -p + 3*p - 4. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1973.00008343 - -1973. What is k rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 640*l + 227 + 1756*l - 227.\nAnswer: 2396*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 848 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -0.4. Let i(v) = -v**2 - 8*v + 10. Let n be i(-9). Let t be n + 0 + 9\/(-15). What is the nearest to s in 3, 1\/3, t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*l*t + 278631*l - 28263*t with respect to t.\nAnswer: -9*l - 28263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 9*b**2 - 85*b - 50. Let a be c(10). Solve 11*l + 45 - 111 = a for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 17*x**3 - 2*x**2 - 6*x - 6. Is u(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1310584 is divided by 175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -u**2*y - 5708921*u**2 - 166634675*u*y - 14*u - y + 3 wrt y.\nAnswer: -u**2 - 166634675*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqddrdrdd. Give prob of sequence drk.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 10*q - 8\/3*q**3 - 16\/5*q**2 - 2\/75*q**6 - 7\/25*q**5 - 6\/5*q**4 + 0. Suppose a(v) = 0. Calculate v.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30441, -60885, -91327, -121767, -152205?\n\"Answer: g**2 - 30447*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4 - 35866*a**3 + 752880*a**2 - 4839318*a + 8710335 = 0.\nAnswer: 3, 9, 35845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -581 + 581. Which is greater: -1\/2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 395470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, i: 3, t: 1, o: 1}. Give prob of picking 2 p, 1 i, and 1 o.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.7 + 12.7. Are c and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -351 + 624. What are the prime factors of n?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*x**3 - 42*x + 67*x**3 + 69*x**3 + 69*x**3 + 62*x**3.\nAnswer: -2*x**3 - 42*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 40*s**2. Let a(z) = 35*z. Calculate a(l(r)).\nAnswer: 1400*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 + -86. Suppose 0 = -4*f + f - s*z + 120, 0 = f - 5*z - 20. What is the remainder when 313 is divided by f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -c + 410 - 398, 2*d + 3*c = 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(z*z\/z**6*z)\/z*z*z*z)\/(z*(z\/(z*z\/(z\/z**6)))\/z*z)*(z*z*(z*z**(-2\/7)*z)\/z*z)\/z**4)**(-15))**36 assuming z is positive.\nAnswer: z**(-17820\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22136 by 3.\nAnswer: 22136\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**6\/1980 - f**5\/66 + 25*f**4\/132 + 20*f**3\/3 - 10. Let s(k) be the third derivative of y(k). Let s(d) = 0. What is d?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**3 - 43*x**2 - 9*x - 2. Let i be d(11). Solve 0 = 10*p + i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - o. Let x(l) = -14*l**2 - 8*l - 4. Let b(u) = 9*u**2 + 5*u + 3. Let r(a) = -7*b(a) - 5*x(a). Determine -r(f) - 6*y(f).\nAnswer: -f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 12. Let d = -19 - -7. What is the tens digit of d\/8*26\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 43*v + 121. Calculate f(46).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -35*p + 799293. Let a = p + -690. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1500)\/375 - -1*76\/6. Which is smaller: z or -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 48428177 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by -22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 72951 + 72962 = 0. Sort v, 0.04, 54\/25, 2 in descending order.\nAnswer: 54\/25, 2, v, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 + 0*n**3 - 2*n**4)*(12 - 17 - 22) + 26*n**4 + 3*n**4 - 4*n**4.\nAnswer: 79*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**26\/a**(-8\/7))\/(a\/(a**(3\/8)*a)*a**(-3\/32)) assuming a is positive.\nAnswer: a**(6185\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27006 in 1, 4, 2.7, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*v + 6 = -104*v. Let p(q) = -3*q**2 + 5*q - 3. Give p(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -9. Let h = 5692 - 91107\/16. What is the common denominator of h and 203\/u*(-2)\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-3 + 0)*-1. Solve -v = -n - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/5)\/((-4)\/10). Suppose -t*p = -5*p - 20. Let b be ((-3)\/6)\/(-1)*p. Sort -1\/9, 0.5, b.\nAnswer: b, -1\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 26\/7 (b) -30 (c) -10 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) 0.1 (b) -2 (c) -36 (d) 56 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 + 59. Solve -23 = 4*x - f*y, x = -y - 0*y + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyn when three letters picked without replacement from {y: 1, e: 3, k: 1, q: 2, n: 5}?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 860897100 rounded to the nearest 1000000?\nAnswer: 861000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-55)\/(-2)*48\/60. Suppose -3*i = -n + 4. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, 1, -17\/3, 30 in descending order.\nAnswer: 30, 1, 4\/9, -17\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 5*t - 11*t)*(-2*t - 4 + 4)*(0*t - 3*t + 4*t).\nAnswer: 22*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 1. Let q be -1 - (44\/(-12) + 3). Let f be 1 - -7*1\/(-9). Which is the third biggest value? (a) q (b) h (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*1\/(-65))\/((-25)\/1125*18)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -87 - 86. Let f be p\/84 - (-2)\/3. Let d = -8\/7 - f. Put 1, d, 0.1 in descending order.\nAnswer: 1, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 + 126. Let a = 77 + -42. Let g = -19 + a. Calculate the remainder when s is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w - w)*(-4 - 2 - 5).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v = -11*v - 95. Suppose 2*s + 19 = -v. Let y = s + 25. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 441 and 504.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + 11*m. Let w(i) = -6*i - i**2 - 216 + 216. Let f(g) = -6*n(g) - 11*w(g). Factor f(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186763147?\nAnswer: 43, 4343329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9744788.3401021 + -9744796. Let o = v + 7.66. What is o rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 - 15 = -4*p, p - 5 = 0. Suppose -u*a - 28 = -7*a. Let q = -2 + a. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 12, a: 3, q: 2}. What is prob of sequence lall?\nAnswer: 33\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**2 - 3*j**2 - 2*j**2 + (2 + 3 - 4)*(-j**2 + 2*j**2 + 0*j**2))*(-j**3 + j**3 + 5*j**3).\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(833)*-1.\nAnswer: 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o = 50*o. Suppose 3*m - 109 + 13 = o. Let x(p) = p**2 + p + 48. Let u be x(0). What is the greatest common factor of u and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuw when three letters picked without replacement from {u: 4, w: 15}.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12b5ab (base 13) to base 2\nAnswer: 1101110101111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12474560 is divided by 158.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5304450 by -70726.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -42869.16 and 0.33.\nAnswer: -42868.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (-13 - -19)\/(3\/(-406)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43109309?\nAnswer: 19, 491, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18477437*x**2 + 6349111*x.\nAnswer: 36954874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2970 - 2950. Suppose 111 = 5*p - 2*p - 3*l, -p + 2*l + 36 = 0. Let q = p + 12. Calculate the greatest common factor of o and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5423220 and 5423220.\nAnswer: 5423220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(-9*l**2 - 14*l**2 + 11*l**2) - 6*l + 7*l**2 + 6*l.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18983\/15 + -1266. Let o = -3988\/15 - -266. Let y = o + q. Which is greater: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -25. Suppose 3*h + i = -23. Let s(n) = n**2 + 2*n. Let c(j) = -6*j**2 - 11*j - 1. Determine h*s(l) - 2*c(l).\nAnswer: l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0 = 3. Let y = -2\/1363 + 2744\/12267. Which is the closest to y? (a) x (b) -0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -2*c - s, 0 = -3*c - 907*s + 905*s - 116 for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/4566224 and 105\/158105506.\nAnswer: 1264844048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1108, -4487, -10120, -18007, -28148, -40543?\nAnswer: -55192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -654 = -0*b - 2*b. Let k = 225 - b. Let j = k + 169. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/2 (b) -2819 (c) 1\/2 (d) 76 (e) -0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1864 (base 10) to base 12\nAnswer: 10b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 10:26 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 16*s + 11. Suppose 79 = 5*i + 3*u, 5*i + 9 = -u + 92. What is the remainder when 107 is divided by n(i)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - (-55 - -52 - (-6 + (-5 + 8 - -4))).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 23052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16727861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -3, -0.5, -3\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 8:46 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 4:06 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 28212493842.917 and -4.\nAnswer: 28212493838.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126 - 990. Let g = b - -8893\/8. What is the common denominator of g and 49\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -539998*y + 35. Let h be z(-5). Suppose -2*l - 3*m = 2*m + h, 5*m = -25. Round l to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-22))\/((-106)\/((-33920)\/(-192))).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 32 = b - 13, 3*b = 0. Calculate the remainder when 2182 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d + 15. Let r(j) = -4*j - 8. Suppose 3*v = 0, -8*l = -3*l - v + 10. Let u(z) = l*n(z) - 5*r(z). Calculate u(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 442*g**2 + 442*g**2 + 2*g - 41*g - 885*g**2 - 1 - 19*g + 3*g**3 as c*g**2 + x + w*g**3 + b*g and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -136447.\nAnswer: -2\/136447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 2)*(-p + p - 5*p)*(4*p - 3*p + 0*p)*(-77 + 23 + 33).\nAnswer: 315*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1422 and 29072.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 4\/35*h**5 - 5\/7*h**4 - 33 + 8\/7*h**2 - 20\/21*h**3 + 16\/7*h + 2\/21*h**6. Let d(j) = 0. What is j?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 2*q + 18 = -6*q, -3*q - 6 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-1) - 18\/12. Let s be (-1)\/1*18\/(-54)*1. Which is the nearest to s? (a) y (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**2 + 288*u + 284 = 0?\nAnswer: -71, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}