{"text":"Question: Let v = 7 + -2. Which is smaller: 0.1 or v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51 - 156 + 12 + 111*y + 90 - 15*y.\nAnswer: 96*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 3*d. Suppose d*u = 3*u - 111. Let j = u + 18. What is the greatest common divisor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-14)\/(-4))\/((-1)\/2). Let c(g) = g**3 + 8*g**2 + 10*g + 9. What is c(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -550*q + 28 = -546*q. Solve f - 5*u + q = 0, -3*f = 5*u - 0 + 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y**2 + 3*y**2 - 3*y**2 - 2*y + 2*y - 3*y**2 - 3 - y**2 + 3 + (0*y + 5*y - 3*y)*(3*y + 0*y - 2*y))*(0*y + 3*y**3 + 0*y).\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*r + 4*j - 26, 34*r - 29*r = 2*j - 20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -376 - -669. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + -2 - (-164 + (30 - -110)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nby when three letters picked without replacement from {y: 2, n: 9, b: 1, s: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 - 568?\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5083 and 66677.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9 and 10543023?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3.1 + 3.6. Suppose k - 3 = -22*n + 26*n, -2*n - k = 3. Let o = 0.15 - 0.45. What is the second smallest value in c, o, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 25389392 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -44*i + 277704. Is i a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 215.04585 milliseconds in minutes?\nAnswer: 0.0035840975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 47020647?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -200*g = -201*g. Solve -2*f + 5*v = -10, g*f - 20 = -4*f + 4*v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*h**3*q*r - 25177*h**3 + 3*h*q + 6*q*r - 5*q + 25*r - 62 wrt h.\nAnswer: 6*h**2*q*r - 75531*h**2 + 3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.06 - -0.14. Let n be (-1)\/4 + 5\/4. Let x be 76\/70 + (-4)\/14. Which is the nearest to k?  (a) x  (b) 0.2  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 + 2. Let l = 5 + i. Suppose 4*j + d - 20 = 0, -j + 2*d + 3*d = l. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -49.8086 + 6.8196. Let p = -43 - h. Round p to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = c - 3 + 19, -5 = 5*c. Let i = w + 50. Does 3 divide i\/(-75) + (-373)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*m + 48*m = 20. Let x(h) = h**3 + 2*h**2 - 11*h - 11. Determine x(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 133*j**4 - j**3 - 226*j**2.\nAnswer: 3192*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes after 7:15 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of 2*t**3\/3 - 18*t**2 + 144*t + 799. Factor z(q).\nAnswer: 2*(q - 12)*(q - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**3 + 90*o**2 - 275*o + 390. Let k be q(-93). Calculate the highest common factor of 62334 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 647743659?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/1220 and 79\/1959320.\nAnswer: 1959320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9 - 6. Suppose -q*m + 5*m - 86 = 0. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*sqrt(5)*1 + (sqrt(125) + (sqrt(125) - sqrt(125)*2))**2 + sqrt(5) + 0 + -1 + -4.\nAnswer: -5 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 130956 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**19*v)\/(v\/(v**(1\/6)*v)) assuming v is positive.\nAnswer: v**(127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*b - b + b)*(5*b**4 - 3*b**4 - 18*b**4)*(0 - 1 + 0).\nAnswer: -80*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:33 PM and 12:44 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*b**2 - 15*b**2 + 28*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.589583 nanometers to centimeters.\nAnswer: 0.0000000589583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -3, 3, 212, -5, 1 in increasing order.\nAnswer: -9, -5, -3, 1, 3, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of w**3\/8 - 3*w\/2 + 16. What is h in v(h) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 10 = 3*p - 6, -15 = -5*p + 5*o. Solve x = p*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the first derivative of -j**5\/60 - j**2 - 5. Let q(a) be the second derivative of g(a). Let i(r) = -5*r**2. Determine q(i(v)).\nAnswer: -25*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 536122, 536332, 536692, 537208, 537886, 538732?\n\"Answer: t**3 + 69*t**2 - 4*t + 536056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5.131 + 7.131. What is the third smallest value in 4\/61, k, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 PM and 3:47 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 5362 (base 7) to base 9\nAnswer: 2547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2727, -5527, -8327?\n\"Answer: -2800*h + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 - 1 - -1)*5. Let b(p) = -150*p + 3. Let x be b(-3). Suppose 2788 = a*y + x. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 4 + 4 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -3*u + 6*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 220 and 3839060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {r: 4, v: 7, h: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 17*u**2. Let q be l(-2). Suppose -8 = -4*a + q. Calculate the remainder when a is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -690226*o - 10353385. What is v(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4366120009 to the nearest integer?\nAnswer: 66077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5937 a factor of 1407074937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1628 - 1698 = -7*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q + 1. Let n(s) = -6*s - 26. Let i(l) = 4*b(l) - n(l). Let p be i(-15). Solve p = -2*h + 2*u - 10, -4*h + 2*u - 3*u = 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = 5*t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 171575704 to the nearest integer?\nAnswer: 13099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*t + t. Suppose 0 = a + b - 2*b - 23, a + 2 = -4*b. What is the lowest common multiple of t and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + l + 2*l**2)*(0*l**3 - 3*l**3 + 4*l**3) + l**5 - 5*l**5 - l**5.\nAnswer: -3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*z + z + 24*z**2 + 5*z in the form a + u*z**2 + i*z and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 2*k**3 + 236*k**2 - 732*k + 399. What is the remainder when o(-121) is divided by 165?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 114249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -n + 5*p, 6*n - 3*p - 24 = n. Suppose 159 + 114 = 7*k. Suppose -4*d + 7*d = k. Solve 0 = b - 4*o - d, -n = 6*o - 3*o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*f + f - 2*f + (1 - 1 - 4)*(-f + 2*f + f) + 16 - 18*f - 16.\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, c: 1, d: 1, t: 2, q: 1, u: 8}. What is prob of picking 2 t?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3\/175)\/(6\/(-248)). Let y = x + 7\/25. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 24 + -23. Which is the fourth smallest value?  (a) -0.4  (b) 5\/2  (c) g  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u + 8*u - 7*u)*(2*u - 2*u + 2*u) + (u - 2*u + 0*u)*(-5*u + 2*u + 5*u) + 11 - 11 - 3*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -41*s**2 - 109*s - 1. What is h(-6)?\nAnswer: -823","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000581 rounded to 5 dps?\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z + 18*b - 22 - 28 = 0, 5*z - 66*b + 60*b = 74 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2593*q - 8*q**2 - 10*q**2 - 5281*q + 19*q**2 + 2688*q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b - 21 = -0. Put b, 0, 4, -4 in decreasing order.\nAnswer: 4, 0, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -790925*z**3 + 3*z**2 + 292*z - 11.\nAnswer: -4745550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -44\/2513 and -11\/4.\nAnswer: 10052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 234153 is divided by 441?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 11813.6+0.11\nAnswer: 11813.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 31 - 27 = -2*f, 9 = q + 3*f. Suppose 100 - q = 4*o. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**3 - 3*t**2 - 2*t - 2. What are the prime factors of d(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.237 in 2\/15, 4, 0.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 3*v. Let t = 1 + -0.7. Let m = 7.117 + -4.117. Which is the nearest to t?  (a) v  (b) m  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 11) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2082846 is divided by 14464?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 10 = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6342037165 to the nearest integer?\nAnswer: 1851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -6013 + -2916?\nAnswer: -8929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7167 or -7166?\nAnswer: -7167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 times 0.01?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -z + 2 + 2, 4*z - 23 = 3*r. Let g = -7\/73 - -700\/1971. Which is bigger: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09337296212 rounded to 6 dps?\nAnswer: 0.093373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 360.2 - 7.2. Let m = g + -353.0355. Round m to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14804 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(114) - (sqrt(114) - (sqrt(114) - (-1*sqrt(114) + sqrt(114))*5))))\/((sqrt(4200) + -2*sqrt(4200) - sqrt(4200))\/sqrt(7)).\nAnswer: 3*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, g: 11, i: 1, w: 4}. What is prob of picking 1 g and 1 w?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 5626826 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 95383112, 95383107, 95383100, 95383091?\n\"Answer: -g**2 - 2*g + 95383115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -521309 + 521309 - 6*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4745505 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -49\/2 + 23. Let a be 218\/(-234) - 2\/9. Let x = a - -101\/65. What is the third biggest value in x, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1494 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 1451*b - 33430. Let c be z(23). Let w(d) = -d**3 + 3*d**2 + 8*d + 2. Let p be w(6). Which is bigger: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**(-4\/5)*u)\/u**(2\/3))**(-17) assuming u is positive.\nAnswer: u**(-544\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 966*c**2 + 23*c - 102. Is r(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**3 - 8*w**2 + 11*w + 7. Calculate u(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -4201*l**2 - 3*l - 3. Let p(h) = 256256*h**2 + 182*h + 182. Let u(v) = -3*p(v) - 182*w(v). Let d(c) = -c**2. What is u(d(j))?\nAnswer: -4186*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15 + -39. Let r be (2\/l)\/((-1)\/3). Let m be 0\/2*2\/(-4). Which is the closest to 0.1?  (a) m  (b) 0.5  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*g + 6, 128*o + g = 123*o + 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1495632 is divided by 747671.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 + -1. Let h be (10\/8)\/(x\/52). Is h\/(60\/(-892))*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -106470, -11, 4 in ascending order.\nAnswer: -106470, -11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h**(2\/7)\/h)**(-2\/9)*(h*h**0)**(-24))**(-2\/17))**(1\/89) assuming h is positive.\nAnswer: h**(3032\/95319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.975737567 and -1.5.\nAnswer: -2.475737567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 157*m - 17*m = -98*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3250229.1 rounded to the nearest ten thousand?\nAnswer: -3250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -7*q - 1. Let v(o) = -7*o - 1. Determine 4*c(k) - 3*v(k).\nAnswer: -7*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 290?  (a) 3  (b) 0.4  (c) -2  (d) 0.5  (e) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 449454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes after 7:44 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4464047 is divided by 127.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 358, 748, 1124, 1480, 1810, 2108, 2368?\n\"Answer: -x**3 - x**2 + 400*x - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -2*i**2 + i + 1. Let j(g) = -41*g**2 + 3*g - 235. Let r(z) = j(z) - 2*m(z). Find the first derivative of r(a) wrt a.\nAnswer: -74*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -88924595299 - 3.17?\nAnswer: -88924595302.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v - u + 44, -20 = v - 5*v + 3*u. Suppose v*y = 3*y. Let j(k) = -k**2 - 9*k - 9. Let r be j(-8). Is r equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 28647*h - 257689. What is a(9)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/166  (b) 41  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4541 - -4540. Which is the nearest to 8\/7?  (a) 0  (b) 4  (c) m  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 251976 and 1056?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 1\/6  (b) -4.8  (c) 1\/3  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 - 7*t**2 + t - 7. Let q be a(7). Suppose -66 = -4*p + 66. Let f = p + -28. Put -1, f, q in descending order.\nAnswer: f, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnnnnffnnnfn.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 - 3*h**2 + 3*h - 2. Let s be i(2). Solve 3*l - 5 = -3*n - 2*l, s = -n - 5*l + 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -123 or -120?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z = 3*j, 3*z + 5 = -6*j + 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3*g + 2 - g)*(-100*g**3 + 5042 - 5042).\nAnswer: -200*g**4 - 100*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -16*s**2. Let k(l) = 2676 + l - 2676. Determine b(k(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*b - b - 4*b - 3*b + 2*b - b + (0 + 2 - 3)*(5*b - 3*b - b) - 2 + 2 - 58*b - 44*b.\nAnswer: -106*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**5)**20*m\/(((m*m*m\/(m\/m**(1\/4)))\/m)\/m)*m*m*m**4)**(2\/23) assuming m is positive.\nAnswer: m**(427\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g and 1 o when four letters picked without replacement from igoggggggigggo.\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in one tenth of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -n + 2*c - 42, -115 = 4*n + c + 44 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 121, 36\/19, -5?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**2 - 18*s - 4. Let z be v(-16). Suppose -2*l = 4*g - z, 0 = -2*g - g - l + 20. Let r(w) = -5*w - 2 + w**2 + 1 - 3. Give r(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14423097659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - 12 - (68 + -17)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1538623000 rounded to the nearest one million?\nAnswer: 1539000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 14 + 65?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -122 - -217. Let z = f + -98. Put z, -1\/4, 4, 1\/2 in ascending order.\nAnswer: z, -1\/4, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13\/3, -1.4, 11 in descending order.\nAnswer: 11, 13\/3, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 - -5. Suppose -135 = -12*f + v*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**(-2))**(16\/9)*(n*n**(-7)\/n*n)\/(n\/n**(1\/11)))**(-22))**(-11\/6) assuming n is positive.\nAnswer: n**(-11396\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -36503080.12 rounded to the nearest ten thousand?\nAnswer: -36500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, -30, -78, -154, -264?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**0\/(d**(-8\/7)\/d*d))\/(d**(-1\/9)*d**(2\/15)*d*d))**(-2\/37) assuming d is positive.\nAnswer: d**(554\/11655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add -19.4616833 and 5.\nAnswer: -14.4616833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 20 * 176150.\nAnswer: 3523000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 34659938 a multiple of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (7020\/(-2106))\/(131\/(-129) - -1). What is the highest common factor of p and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 + 10. Suppose q*g - 8 = 12. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a week in hours?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h - 5. Let w be z(7). Suppose -2*g = -6, -4*c + 13 + w = 5*g. Suppose 3*x + 12 - 3 = c, -5*j + x = -98. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0*(-4)\/(-8) + 3. Let s be (12\/h - 2) + 36. Suppose -p + 5*d = -s, -2*d - 66 = -3*p + d. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 26\/31 and ((-2)\/(-10))\/((-24)\/192)?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -868 + 868.1. Which is the closest to p?  (a) -0.1  (b) -1.8  (c) -6  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - 1 - (-1 + -2 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-8)*(1920\/(-108))\/(-10).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - i + 12 = 2*l, 10 = -5*i. Solve -a = d + 4, -l*d = -8*a + 3*a - 27 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vtzttzthtvtz. Give prob of sequence ht.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (513\/216)\/(1\/(-13)) - (-5)\/(-40)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-29)\/((y*y\/(y*y*((y\/(y**(2\/101)\/y))\/y)\/y))\/y))\/(y**(-40)\/(y*y\/y**(-2\/71))))**(4\/45) assuming y is positive.\nAnswer: y**(401816\/322695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-5))**11)**(4\/11)*(h*h*h**(-1\/15))\/h**(-9\/4)*(h*h**2)**(-2\/57) assuming h is positive.\nAnswer: h**(-18151\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.28  (b) 1\/91  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 582205684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*c + 42*c - 81*c + 1 - 58*c - 24*c.\nAnswer: -84*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 39 * -1474.\nAnswer: -57486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:56 PM and 6:48 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = u + u - 313, 0 = -2*c + u - 125. Sort c, 2, -5.\nAnswer: c, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q + 0 + 0)*(-3*q**2 + 3*q**2 + q**2 + 12*q**2 + 5*q**2 - 7*q**2 + (18 - 18 + 6*q)*(3 + q - 3)).\nAnswer: 17*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 24 and 230.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 2234160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (332\/20)\/((-1654)\/8270)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*a**2 - 15*a**3 - 6*a**2 + 25*a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ucuctvutcc. What is prob of sequence uvvt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -195, -348, -515, -702, -915, -1160?\nAnswer: -1443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6266*m - 169 + 373 - 202)*(5 + 0 - 4) as p*m + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6881672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/(-6) + (1 - -190 - 1). Suppose 0 = 9*c - 610 - r. Does 40 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 - 12*j**2 + 27*j - 4. What is n(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1686, 1082, 74, -1338?\n\"Answer: -202*v**2 + 2*v + 1886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqwwwq. Give prob of sequence ww.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3793 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*p + 9*p = s + 11, 4*s - 5*p + 9 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2035)\/4440 + 0 + 5\/10?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*s + 0*s + 0*s)*(-4 - s**2 + 4) + 2*s**3 + 1 - 1 - 171*s**3 - 208*s**3 + 338*s**3 in the form h*s**3 + a*s**2 + k + v*s and give h.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the second derivative of r**6\/10 - 10*r**3\/3 + 172*r**2 + 31*r. Find the first derivative of w(n) wrt n.\nAnswer: 12*n**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -377 (base 8) to base 10.\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 4*l + 7 - 15 = 0, -3*p = -40*l + 120*l - 79*l - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of -v**5\/20 - v**4\/6 + 35*v**3\/6 + 5*v**2\/2 + v - 1. Let a be q(-7). Solve 0 = n + a - 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 464360*l**3 - 22*l**2 - 103505692*l.\nAnswer: 2786160*l - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8)\/(sqrt(8)\/sqrt(2)) - sqrt(12)\/(1*sqrt(6)))**2 + (5*2*sqrt(14))\/sqrt(7).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2585685524 to the power of 1\/2, to the nearest integer?\nAnswer: 50850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - 3*f + 33, 2*y - 5*f - 9 = -y. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101444670 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132 is divided by 125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 125*p + 26*p + 453 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -8*p - 11. Let b(y) = -3*y - 4. Let t(a) = 11*b(a) - 4*w(a). Let u(d) = -306065 + 612136 - 93*d - 306071. Calculate u(t(r)).\nAnswer: 93*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qkkkkqkkkkkkkkkkkkkk. Give prob of sequence qq.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 16*q**2 + 9*q + 20. Give b(-2).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 564*h - 3368*h + 417 - 209 - 212 as j + c*h and give c.\nAnswer: -2804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001581 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 896\/25 + -9969\/350. Calculate the common denominator of 81\/14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -604*c - 2 = -606*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -49*m**4 - 4*m**3 + 31*m**2 - 4. Let u(z) = 49*z**4 + 5*z**3 - 32*z**2 + 5. Let w(i) = 4*u(i) + 5*v(i). What is the third derivative of w(j) wrt j?\nAnswer: -1176*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9347?\nAnswer: 13, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 421*l - 2554 - 4992 = 234*l + 2926 for l.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 288 - 284. Suppose -5 = -5*v, 4 = -3*n + j*v - 6. Sort 4\/3, n, 0.2 in decreasing order.\nAnswer: 4\/3, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -30216, -60075, -89934, -119793?\nAnswer: -149652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10 - -15. Suppose -7*u + 10 = -x*u. Solve 0 = b - 4, -5 = -u*t - b + 19 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-510*o - 21642 + 21642)*(4 - 1 - 5)*(2 + 1 - 5).\nAnswer: -2040*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4721*0.05.\nAnswer: 236.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 98 divide 761852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4725\/(-36))\/(-35)*(-8)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 22 = 142. Suppose 6*h = a - 18. Suppose -h*x - 13 + 19 = 0. Solve -x = -j - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -90 + 5 + -3 + -24 + 26\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*z**2 - 194*z**3 + 4*z**2 + 2*z**2 - 3*z**2.\nAnswer: -194*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 841776 and 1248.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 45, 54, 49, 24, -27, -110?\n\"Answer: -w**3 - w**2 + 19*w + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 1522*k - 265*k + 4692*k as w + x*k and give x.\nAnswer: 5949","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 3*a + 75 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16 and 40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -2 - 10. Calculate the remainder when 9\/g + 19 + 2 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16641 (base 9) to base 6\nAnswer: 125014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 102 - 89. Solve 4*r + o = -3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 9) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -24\/5?  (a) 14  (b) -100  (c) 0  (d) -5  (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, c: 1, y: 1, h: 1, a: 1}. What is prob of sequence heeh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2673836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u**4\/3 - u**3\/3 - u**2\/3 + u\/3 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/16)\/(1\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 221 - 2365*o**2 - o - 3215*o**2 + 4585*o**2 wrt o?\nAnswer: -1990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -44 + 44 + c + c + 2 - 2 + (2 - 1 + 0)*(c + 2*c - c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - (8 - 1)) + 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -4 - ((15 - 15) + -15 + 36)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 139638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 882, 3511, 7888, 14007, 21862, 31447?\nAnswer: 42756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1a46 (base 13) in base 5?\nAnswer: -111240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -209 * 8732\nAnswer: -1824988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 9974 times 18?\nAnswer: 179532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - 3) + (-24)\/(-10). Suppose 3 = -3*v, 9 = -5*o - 2*v - 2*v. Let s be (1\/2*-2)\/o. Which is greater: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:16 PM and 11:11 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*r**3\/15 + 1744*r**2\/15 - 3494*r\/15 + 1748\/15 = 0. Calculate r.\nAnswer: -874, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 54, 3, -145 in decreasing order.\nAnswer: 54, 3, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 16 in 0.2, 0.4, -3\/2, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 31 - 65 + 33 - 4*q. Let r(w) = 17*w + 4. Determine -6*r(k) - 22*z(k).\nAnswer: -14*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*o - 13*o + 21465 = 138*o + 164*o for o.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 814*d**4\/3 + 820*d**3 + 832*d**2 + 868*d\/3 + 6 = 0 for d.\nAnswer: -1, -9\/407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1*1 - 4\/(8\/(-109)). Let s = d + -53. Put 0.3, -1\/3, s, -0.2 in decreasing order.\nAnswer: s, 0.3, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 218 + 5?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -363, -86, 317, 846, 1501, 2282?\nAnswer: 3189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 + 15*j**2 - 15*j + 4. Let v = -228 - -242. Give c(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -41505 smaller than 5210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -738689 minus 5?\nAnswer: -738694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 + 47bc5dd?\nAnswer: 47bc5dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 16) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (8 + 273\/(-35))*21865 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2403 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 g(w) = -w + 19. Let c be g(14). Solve c*i + 4*j = 17, -2*i + 23 = i - 4*j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dddpdpdpdddd. Give prob of picking 3 p.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 16 + 52 = 0. Let t = 31 + -19. Let p be (-79)\/52 + x\/t. Is 0 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -20418, -23027, -25636, -28245?\n\"Answer: -2609*u - 17809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -3*w**2. Suppose -55 = 5*o + 4*g, -3*g = 5*o + 10 + 40. Let i(s) = -s - 5. Let u be i(o). Let r(t) = -u*t + 3 - 3. Calculate b(r(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n**4\/8 + 5*n**3\/8 + 3*n**2\/8 - 5*n\/8 - 1\/2 = 0. What is n?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 334292601 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -321*u**2 - 32*u - 61. Let i be y(-2). Let d = 2481 + i. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k + 119*k + 76533 = 264469. List the prime factors of k.\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*g - 41 = 63 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 310102111 (base 5) in base 16?\nAnswer: 13201e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 9 = -4*z + 6*b, 0 = 5*z - 3*b - 9. Sort 4, -16, z in ascending order.\nAnswer: -16, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 113 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -25 - -29. Suppose -k + 0 = 2*s, 3*o = 4*s + 143. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:53 PM and 10:13 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 66976509079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3562 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(-2 - 9\/(-6)). Let u be (-8)\/4 + 6\/m. Differentiate -u + 0*d**3 + d**3 - 4 + 3 wrt d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-2*-3*sqrt(432) + 5.\nAnswer: 5 + 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 30359 times 352.2\nAnswer: 10692439.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yd when two letters picked without replacement from {y: 6, z: 1, j: 1, e: 3, w: 2, d: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2563?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(9)\/(sqrt(48)*-2).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 2*m - 18, 3 = 2*p - 1. What is the derivative of 285*a**m - 220 - 12*a + 12*a - 110 + 57 wrt a?\nAnswer: 1140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -l**2 - 13*l + 0*l**2 - 2*l**2 - 2*l**2 + 2*l**2 to i + j*l + h*l**2 and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2, -0.3, -3, -2 in decreasing order.\nAnswer: -0.3, -3\/2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -s, 3*c + 17 = -5*s - 2. Suppose c*h - 14 = 2*f, h + 2*f + 23 = 6*h. Solve -h*x + 16 = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 280 and 28571368?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**2 - 6*o - 6. Let r be f(-4). Let j be (-1001)\/63 - 928\/(-58). Which is the second biggest value?  (a) j  (b) 2\/7  (c) r  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1112545 and 588?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.076, -0.07, 3\/5, -5, 0 in descending order.\nAnswer: 3\/5, 0, -0.07, -0.076, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:42 PM and 3:41 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 432854 and -21?\nAnswer: 432875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(102) + -5*(sqrt(102)*1 - sqrt(102)) + sqrt(102) + -5*(sqrt(102) + sqrt(102)*-1) + sqrt(102))\/((sqrt(6) - (sqrt(6) - -3*sqrt(6))*-4)*1) + -4.\nAnswer: -4 + 3*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7393\/7 + -1054. Suppose -12\/7*j + 18\/7*j**2 + 3\/7*j**4 - 24\/7 + s*j**3 = 0. Calculate j.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.00532 or 16?\nAnswer: 0.00532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 93018, 186037, 279056, 372075, 465094, 558113?\n\"Answer: 93019*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 + 3\/(-1))\/(-32). Suppose -9*i + 3 = -6*i. Is n < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/5 of a tonne in kilograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 32452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 211 + 29 = 721*g - 706*g for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 737854 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (85491\/118)\/(-207)*(-68)\/14*1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -14189 + -824?\nAnswer: -15013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 833517858 a multiple of 1138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10394*g + 10410*g = -5696. Is g at most as big as -356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2*(-10)\/(-8)*(-8)\/5. Suppose -m + 0*m = -n*p - 32, m + 2*p = 38. 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: Solve x**3\/4 + 395*x**2\/4 + 75*x\/2 - 175500 = 0.\nAnswer: -390, -45, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-9)\/(-2)*(-418)\/3. Is 0 + 2 + 2 + (0 - w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102168 is divided by 126?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 5*g - 9*g - 3*f, -6 = 2*g + 2*f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -3.5562*0.95\nAnswer: -3.37839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(12)\/(-6*2*sqrt(4)).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of -17*w**2\/2 - 17*w - 6. Let j(p) = -2*p - 2. Let h(b) = -40*j(b) + 5*x(b). Calculate h(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 645 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3b + -5?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -u**5 - 8099*u**4 - 24281*u**3 + 56687*u**2 + 121422*u - 145728 = 0.\nAnswer: -8096, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -22*w**2 - 270*w + 29. Give d(-13).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -111110010 (base 2) to base 14\nAnswer: -278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 666 is divided by 188.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7273 - -7829. Solve -9*y - 565 + c = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -13*i - 510. Let k be b(-42). Solve 0 = -4*x - 20, -4*q + k = -5*x + x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 34 and 442.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3402 = 16*m - 9*m. Calculate the highest common divisor of m and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*h**4*s**2 - 187*h**4*s - 2*h*s + h + 12*s**2 wrt h?\nAnswer: -24*h**2*s**2 - 2244*h**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.159 + -0.129. Let w = -2 - -1.8. Let i = -0.3 - -0.2. Put 0.3, i, d, w in decreasing order.\nAnswer: 0.3, d, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 98323 and 4?\nAnswer: 393292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1100) - -5*3*sqrt(1100))\/(sqrt(16) + (sqrt(16) - sqrt(80)\/sqrt(5))*4))**2*6 + 1.\nAnswer: 105601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pplmppm. What is prob of picking 1 m and 2 p?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 93 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -96*f*k**2*r**3 + 4200*f*k*p*r**3 + 10*f + 3410*k**2*p*r**3 + k**2*r - 337*k**2 - 3*r with respect to p.\nAnswer: 4200*f*k*r**3 + 3410*k**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 72.57 - 4.82. Let z = o + -68. What is the nearest to z in 1\/9, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.060072 millennia in years?\nAnswer: 3060.072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 3077, 0.4, -1\/5, -5, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -16*l**2 + 29*l. Let y(v) = -5*v**2 + 10*v. Let a(g) = 2*h(g) - 7*y(g). Let f(n) = 189*n**2 - 364*n**2 + 177*n**2. Give f(a(u)).\nAnswer: 18*u**4 - 144*u**3 + 288*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -54931, -109794, -164621, -219394, -274095?\n\"Answer: 3*c**3 - 54884*c - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 54 and 450.\nAnswer: 24300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 divided by -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/220 and 27\/1300.\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, m: 8, o: 4, v: 5}. Give prob of picking 2 o and 1 m.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90*c + 72*c - 108 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-204))\/(((136\/(-288))\/17)\/((-3)\/(-9)))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the third derivative of -b**4\/8 - 7*b**3\/6 - 404*b**2. Let o(j) = j. Calculate i(o(w)).\nAnswer: -3*w - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 PM and 5:26 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 66617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 603*w**2 - 8425*w - 227. What is g(14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*g + 10 = -4*i + 2*i - 10*g - 16*g, -5*g + 15 = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -228*y + 100. Let u(n) = 91*n - 40. Suppose -2*r + f = -15, 19*r + 15 = 17*r - 5*f. Let i(w) = r*s(w) + 12*u(w). Differentiate i(v) wrt v.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28718 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/21 - (-39)\/(-6)*(-468)\/126. Solve -k = -5*q + b, q + 4 = -3*q - 5*b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -126*-8101\nAnswer: 1020726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52 = -9*j - 2*v - 192, -j + 220 = 5*v + 271 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -3*y + 4, 3*y - 2*p = 2*y + 4. Suppose -3*s + 761 = -y*s. Let x = 6878\/9 - s. Find the common denominator of -51\/8 and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 60 divided by 30\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 71*s**3 + 4*s**2 - 4*s - 26. Let a(m) = -m**3 - m**2 + m + 2. Let g(i) = -4*a(i) - t(i). Find the first derivative of g(z) wrt z.\nAnswer: -201*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*q + 12 = 5*c, -5*q = -28*c + 32*c + 36 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 3*p + t, 0 = 4*p - 15*t + 11*t + 32 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -303*o + 218 + 1600 = 0. Solve 4*z + 3*g + 12 = 0, 0 = -o*z + 9*z - g + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**2\/4 + 75*d\/2.\nAnswer: d*(d + 150)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jpj when three letters picked without replacement from pjjjjjpjjjjp?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-1079)\/15106)\/((-19)\/(-42))\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 20*y - 27. What is the tens digit of n(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 o, 1 j, and 1 s when four letters picked without replacement from eseyueyyeejoy.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-4))**(38\/7)\/(u**(7\/5)*u\/u**(-2\/27)*u*u) assuming u is positive.\nAnswer: u**(-24748\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes after 11:54 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -5 + 1 + w - 6. Let a be j(5). Let t be (-225)\/a + -1 + -2. What is the highest common divisor of 28 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddt when three letters picked without replacement from zzzzzdtzzzzmdz?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hmmdhhhdmehidddhv. What is prob of picking 1 v, 1 h, and 1 d?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 45  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -4*i - 23. Let c be j(-6). Let g(f) be the second derivative of 13*f**4\/6 - f**3\/3 + f**2\/2 + 25*f + 1. Give g(c).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (320\/(-24))\/(-8)*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 449753.4ml to litres.\nAnswer: 449.7534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/(-6)*(-2 - -2). Let x be 8\/20 + 18\/5. Suppose v = x*k + 2*t - 80, -t + 27 = k + 3*t. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/4, 6, -0.3, -1\/10, 45\/2, -2\/15?\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7444467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k**(3\/4)\/k))\/(k\/k**(-5\/6)))\/(k\/((k\/k**(-9))\/k)*k*k*k**(-2)) assuming k is positive.\nAnswer: k**(89\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 389797.708 rounded to the nearest 1000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 38460624 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*p - 3*p + 4*p + 149 - 149 + 7*p + (-4*p + p + 4*p)*(4 - 3 - 3) to j*p + l and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) -1\/11  (c) -13  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15007 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 10:14 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + (4 + -2 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 660 and 1308846.\nAnswer: 13088460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(3 + ((sqrt(75) - ((1*(-1 + sqrt(75)) - sqrt(75)) + sqrt(75))) + 2*sqrt(75)*1)**2).\nAnswer: -304 - 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -133 + 135. Solve 4*u + u - 21 = -p*m, u - 15 = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - -2) + (3 - (8 + -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(170) + sqrt(170)*-1*-3)\/(sqrt(50)\/(sqrt(30)\/sqrt(6))) + 1 + 4.\nAnswer: 5 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/10 + 1\/5. Let b be 2 + -3 + u + 1. Suppose s - 2*s + v + 11 = b, -4*s - 2*v + 20 = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g**2\/7 + 394*g\/7 - 396\/7 = 0. Calculate g.\nAnswer: -198, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8\/24 + (-2)\/6. Let x(k) = 7*k - 17. Let y be x(3). Suppose -3*h = 7 - y. What is the third smallest value in -0.9, h, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (155 + 72 + 123)*(-6*m + 2*m + 3*m + (0 + 1 + 1)*(2 + 2*m - 2))*(0 - 1 + 0) to the form j + a*m and give a.\nAnswer: -1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 0*r + 3*r - 163, -6 = 2*r. What is the remainder when m is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, h: 4, o: 1, l: 1, g: 3}. Give prob of picking 1 o, 1 l, and 2 c.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -40 (base 14) to base 8\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n = -3 + 83. Let s(r) be the first derivative of -r**4\/4 + 10*r**3\/3 + 7*r**2 + 9*r + 2. What is the hundreds digit of s(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 8:11 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2, -132, -83, 1 in descending order.\nAnswer: 1, -2, -3, -83, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 11.06  (b) 3  (c) 0.03  (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 + -21. Let n = d - -14.8. What is the nearest to 0.1 in n, -0.3, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2842, -11296, -25386, -45118, -70498?\nAnswer: -101532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 divided by 650?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -11*2*220\/(-20). Let t = -116 + l. Calculate the highest common divisor of 18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the third derivative of 0*p + 4\/5*p**3 + 1\/30*p**5 - 17\/60*p**4 - 4*p**2 + 35. Factor s(t).\nAnswer: 2*(t - 1)*(5*t - 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14798.00030165 - -14798. Round g to five decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.3881  (b) 2\/5  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.1  (b) -3\/113  (c) -0.2  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**3\/(l\/(l*l\/(l**(-6)\/l)*l))*(l\/(l*l*l**(-3\/4)*l))\/l**(4\/3)*((l\/l**(-4))**(-8\/9))**(-3\/22) assuming l is positive.\nAnswer: l**(441\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkrf when four letters picked without replacement from {f: 1, w: 1, k: 4, r: 9}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3\/2, -0.5, -5, 43\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -1\/5*t**4 - 18\/5*t + 2\/5*t**3 + 9\/5 + 8\/5*t**2 = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 3*d**2 + 38*d - 64. Let r be p(-19). Calculate the highest common divisor of 27 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/r**(-1\/10))\/r*r*r**5*r*r)**33)**(-15) assuming r is positive.\nAnswer: r**(-8019\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 3731, 3735, 3739, 3743, 3747, 3751?\n\"Answer: 4*o + 3727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*f + 2*f + f)*(-2*f**2 - 7*f**2 - 3*f**2 + (4*f + 0*f - 6*f)*(5*f - 2*f - f)).\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes before 2:35 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13282, 19047, 24812, 30577, 36342, 42107?\nAnswer: 47872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3, m: 1}. What is prob of sequence mnn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y**3\/13 + 7990*y**2\/13 + 3696*y + 72126\/13 = 0 for y.\nAnswer: -3, 4007\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 5*h = 7*i + 25, 5*i + 3*h - 63799 = -63830 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 + 169628?\nAnswer: 169627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 85*k**3 - k**2 + 14*k - 6. Let t be c(6). Is t\/36 - 2\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -41*r**2 + 40*r**2 - 3 - 9*r + 1 - 4. Let i be (-2 + -1)*(-7)\/(-3). List the prime factors of c(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00184656323 rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 2*f + 3. Let s(k) = -6*k - 8. Let m = -6 + 14. Let d(o) = m*t(o) + 3*s(o). Let c(x) = 32*x**2. Calculate d(c(j)).\nAnswer: -64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2 + 3*s + 3. Let n be z(5). Let q = n - -11. Suppose -20 = -4*c - q*w, c + 7 = 6*w - w. Solve p - c*r - 8 = 0, 0*p - 21 = -4*p + r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07241827 rounded to three decimal places?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l + 5*v - 15, l + 10*v - 5*v - 15 = 0. Suppose l = -7*i + 4*i - 18. Let x(n) = -n - 6. Give x(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13272 divided by -12.\nAnswer: -1106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -9\/109  (b) 7  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 687 + -482. Is y a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in -2, -0.4, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 63\/67 - 5661\/7303. Let d = -526\/545 + h. Sort d, -2, -24, -0.2.\nAnswer: -24, -2, d, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = -3*n - 6*k, -n + 41*k - 10*k - 32*k = 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1482  (b) 2  (c) -2\/51  (d) -1  (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 9\/6*7276\/(-51). Let j = f + 301. What is the remainder when j is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -2*v. Let f(d) = -40*d + 14. Let l(n) = 39*n - 12. Let q(i) = -6*f(i) - 7*l(i). Give q(g(a)).\nAnswer: 66*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-176)\/1144)\/((-5)\/(-65)) - 1*20\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3250 + 4 + (-14 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6109.01 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8365.557 millennia to years.\nAnswer: 8365557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 30*s - 16. What is the smallest common multiple of 14 and p(6)?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -218 + 69 + 73 + 48*m + 73 + 9*m.\nAnswer: 57*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 4105 greater than 3755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 210 is divided by 57.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y and 1 d when four letters picked without replacement from ytulduytty?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, f: 2, v: 2, u: 2, n: 1, o: 1}. Give prob of sequence on.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p + 1. Let q be t(1). What is the greatest common divisor of q and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30865, 123226, 277161, 492670?\nAnswer: 769753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -232 - 110541?\nAnswer: -111103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 246265511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 7 = -3. Calculate the highest common factor of v and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1320587, -1320563, -1320523, -1320467?\nAnswer: -1320395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Do 25 and 1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 + 10. Suppose 5*a - 3*k - 3 = t, 2*a + 0*k = 3*k + 3. Suppose -4 = -z - a. Solve 8 = -z*p + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:11 AM and 10:09 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 2*j. Let w(t) = 3*t. Let s(x) = 2*x. Let r(f) = 7*s(f) - 3*w(f). Determine b(r(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2955494 to the power of 1\/2, to the nearest integer?\nAnswer: 1719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {l: 4, h: 1, b: 1, n: 2, j: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 3*a = -180, -2*a + 113 = -4*v - 63. Let w be (v\/(-28))\/((-1)\/(-2)). Let q be -2 + 5 + (-3 - -1 - -1). Solve 4*l = 8, 2*l - q + w = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 34966 + -34950. Calculate the remainder when (15*-2)\/(1\/(-1)) is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/(11 - 1106\/98). Suppose -15 = -5*n, -n + 5*n = 2*h - 50. Let a = c + h. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/2665159 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 - 4. Let h be d\/(-2)*-1*2. Let i = h + 1. What is the remainder when 10 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*y = -44 + 26 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2313.757432 rounded to the nearest 10?\nAnswer: -2310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.2, -13\/126, -1\/3, -5, 4?\nAnswer: -13\/126","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -6*w + 3*w - 9, 5*w + 40 = 5*f. Which is the biggest value?  (a) 0.5  (b) -1  (c) 12  (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -52 - 2*j + 6*j**2 + 24 + 30 + 15*j**2 + j**4 to the form z*j + a + p*j**3 + h*j**4 + g*j**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6146202 and 15.\nAnswer: 30731010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -205272, -205273, -205274, -205275, -205276?\n\"Answer: -p - 205271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.04 and 355.45?\nAnswer: 14.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 442 - 481. Let c = y - -41. Sort 5, c, 1, -4 in ascending order.\nAnswer: -4, 1, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 2) + (64 - -84) + -154?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 divided by -44902?\nAnswer: -27\/44902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -843 or -861?\nAnswer: -843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1040250 and 60?\nAnswer: 2080500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x - 1 = -6*x, 5*x = j - 21. What is the tens digit of ((-124)\/j)\/(1\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.55 + 0.365. Let c = -1.005 + s. What is c rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 823.5 and -12?\nAnswer: -9882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000894 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 1115*h - 113725. Calculate n(102).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 9 + 3 = 0. Suppose 3*m - 3 = 2*a + 11, 19 = 4*m - 3*a. Let q = m + y. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -23*h + 0 + 1 - 28*h**2 + 41*h**2 wrt h.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 256*u - 217*u - 36309. Calculate the remainder when u is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**3\/2 - 1501515*t**2\/2 + 24023856*t - 192189824.\nAnswer: (t - 1501483)*(t - 16)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - (-20)\/15)*(-464)\/(-42920)?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11202404300 (base 5) to base 12.\nAnswer: -424b545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -2*p + 4, p - 2*p + 17 = 4*a. Solve 4*l + 12 = -3*h + 4, 4*h - a*l + 19 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -1016*i. Let a(y) = -602918*y. What is p(a(c))?\nAnswer: 612564688*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 - 11. Let d(u) be the third derivative of 0 + 0*u + 1\/120*u**6 - 2*u**f + 1\/4*u**4 + 1\/10*u**5 + 1\/6*u**3. Give d(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 318499262?\nAnswer: 2, 23, 301039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/38686608 and -103\/29014956.\nAnswer: 116059824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -1. Let p(r) = -18*r - 28. Let v(k) = p(k) - 12*u(k). Let i be (6\/(-4))\/((-201)\/1072)*-1. Is 17 a factor of v(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 30*u**2 - 9*u - 8. Is o(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1146 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7782 + -7747. Calculate the smallest common multiple of 266 and x.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -771*19.\nAnswer: -14649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-62)\/310)\/((-12)\/(-20))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 457*h**4 - 6*h**2 - 5?\nAnswer: 10968*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 4.739  (b) -1\/5  (c) 6\/5  (d) -2\/11  (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.01 - -0.01. Sort f, -5, -1.\nAnswer: -5, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 287, 7, -5 in descending order.\nAnswer: 287, 7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28182204, -56364421, -84546638, -112728855, -140911072?\nAnswer: -169093289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (25\/(-5))\/((-4)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/2, 2\/3, -0.4, -11, -2 in decreasing order.\nAnswer: 3\/2, 2\/3, -0.4, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 114 + -110. Calculate the remainder when 2348\/14 + (-390)\/546 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -5 - 4 - 6 + 2*v + 1. What is the units digit of m(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - (29 + -36 - (-243)\/15)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*t + 3*t + 0*t + (1 - 1 + 2)*(1 - 2*t - 1) - 3 + 3 - 2*t + 1 - 2*t - 1 + (-2 - 3 + 3)*(1 + t - 1).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -63*h + 144. Let w(z) = 10 + 0 - 8 - 4*z + 7. Let n(o) = 2*b(o) - 33*w(o). Let l be n(4). Solve 0 = -0*k - 5*k - l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 5*u + 65 = f, -4*f + u = -67. Let t = -8 + 28. Let n = t + -14. Calculate the remainder when f is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.1475 * -0.5\nAnswer: -1.07375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -0.04, 4, 7 in decreasing order.\nAnswer: 7, 4, 0.4, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*o + 10*o + 1 - 1.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 256 and 53940160?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 2*r**3 + r - 2. What is x(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 195 - 183. Solve 4*h - p = 0, 0*h - 3 = -5*x - h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 - ((-6 - -5) + -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 39609 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-66)\/(-18) + 44\/33\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*p**2 - 5 + 5)*(280*p**2 - 138*p**2 - 144*p**2 + 1318*p) in the form h*p**2 + w*p + j*p**3 + k + f*p**4 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s + 27 = -2*q, 5 - 13 = -2*q + 2*s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-162)*456\/760.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2163, 8833, 19947, 35505, 55507, 79953?\nAnswer: 108843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87 = -2*c - 18*m - 9, 1025*m - 1026*m = -2*c + 21 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -141.56 + 148. Let f = r - 6.43673. Round f to 4 dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 27.847848ms?\nAnswer: 0.0004641308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) 0  (c) 36  (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**2\/3 + 100*h\/3 + 152.\nAnswer: 4*(h + 6)*(h + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-22)\/(-55) + 358\/5. Calculate the highest common factor of t and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 32 = 4*m, -2*m + 3*b = m + 24. Let t(r) = -4*r - 96. Let s(c) = c + 20. Let k(y) = -16*s(y) - 3*t(y). Let a be k(m). Solve 5*v - 5 = -a*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3759, 7518, 11277, 15036, 18795, 22554?\nAnswer: 26313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/8115657 and 133\/782232.\nAnswer: 64925256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 724773.9 litres in millilitres?\nAnswer: 724773900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, e: 1, s: 1, z: 2, x: 2, p: 1}. What is prob of sequence xzx?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8122733.\nAnswer: 8122733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/57 or 18.35744?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2215, -4, 5, 0, 6\/13 in ascending order.\nAnswer: -4, 0, 6\/13, 4, 5, 2215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 19107572 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rymr when four letters picked without replacement from {m: 2, g: 2, r: 2, y: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6\/43 or -1\/2?\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -33 - 112031?\nAnswer: -112114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the first derivative of -w**4\/8 - 9*w**2\/2 + 2. Let q(x) be the second derivative of m(x). Let f(t) = -2*t. Determine f(q(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.924 rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 + 5607235?\nAnswer: 5607241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.01826 * 217.\nAnswer: -3.96242","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 253 in 3\/11, -0.4, -0.184?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(-4\/5)\/b)\/(b**(-1\/2)\/b))\/(b**(-1\/5))**(-2))**(-10\/11) assuming b is positive.\nAnswer: b**(7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tonn when four letters picked without replacement from {t: 1, n: 2, p: 1, o: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 20506545331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-66 - 0)*474\/1422?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -26b658 + -11?\nAnswer: -26b669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 + 10. Suppose -5*v + 3*y + 11 = h, v + 5*y + 11 = 2*v. What is the first derivative of 2*b**4 + 1 + v - b**4 + 2*b**4 wrt b?\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*x**5 - 82*x**4 + 861*x**2?\nAnswer: 120*x**2 - 1968*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + 1*sqrt(1700))**2*-3 + ((sqrt(1700) + 1 + 2)**2 - sqrt(1700) - (-3 + (sqrt(1700) - (sqrt(1700) - sqrt(1700)*2)))))*-4*-3.\nAnswer: -41232 + 3240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -13070, -13069, -13068, -13067, -13066, -13065?\n\"Answer: h - 13071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2104*a - 2106*a + 6127*a - 2047*a + 2*a**3 - 3*a**3.\nAnswer: -a**3 - 130*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = 2*k - 4. Let l be 17 + (-1 - k\/2). What is the second derivative of 2*y - l*y**2 + 15*y**2 - y**5 wrt y?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*-0.098817\nAnswer: 0.0296451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes before 5:53 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (-21 + 17)\/(21\/(-30282)) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/((y**3\/y)\/y))\/(y**(-2\/21)*y))\/((y\/(y**(1\/10)\/y))\/(y\/(y*((((y*y\/(y\/(y*y*y**(-2\/13))))\/y)\/y)\/y*y*y)\/y))) assuming y is positive.\nAnswer: y**(-9967\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 444641820?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*u - 2196 = -48*u. Suppose 53*i - 56*i = 3*a + u, 5*i - 5 = 0. Is -246 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d**3\/2 - 81*d**2\/8 - 117*d\/8 - 3 = 0. What is d?\nAnswer: -1, -1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 26 - 11a?\nAnswer: -e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**4 - 2628*i**3 + 564924*i**2 + 4646304*i + 9377472.\nAnswer: 3*(i - 442)**2*(i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 4*r = -4*b + 16, 2*b - 16 = -3*r. Let t(w) = r*w - 9 - 1 + 1. Suppose 235 = 16*f + 107. Calculate t(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 + -23. Let y be (z\/(-42))\/(4\/6). Which is the smallest value?  (a) 0  (b) -0.1  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00030367 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 5*a + 25 = 0, 3*d - 4*a - 23 = a. Solve 39*o - d + o - 6 - 12*o**2 = 0.\nAnswer: 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/11 and 1\/33191?\nAnswer: 365101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes after 8:21 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 111 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 597, 5924, 11251?\n\"Answer: 5327*t - 4730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirteen eighths of a decade?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*v**4 + 3 + 1711*v**3 - 1712*v**3 + 0 + 4*v + v as r*v**2 + f*v**3 + w + t*v**4 + h*v and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/22230 and 5\/936?\nAnswer: 88920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 62600*a**2*f**2 - 3*a**2*f - 4*a**2 - a*f**2 - 28*a*f - 2679*f**2 - 1 wrt a?\nAnswer: 125200*f**2 - 6*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6 + -2 + (25 - 2). Which is smaller: 28 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/((175\/(-2))\/(-5))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 181240 divided by 8?\nAnswer: 22655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -4*u**2 + 5 + 3*u - 1 + 1 + 0*u**3 - u**3. Calculate t(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4327.3 - 4327.2. Let n = -261\/14 - -37\/2. Which is the third biggest value?  (a) s  (b) n  (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 753 + 611. Suppose -3*b - 326 = -q, 2*b = 4*q + 5*b - s. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 3*y**2 + 4*y - 8. Let b be d(-6). Suppose -3*r = 90 + 15. Let o = r + b. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-57)\/30)\/(8\/(-20)) and -27\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**2 - o + 1. Let s(d) = d**3 + 5*d**2 + 1. Let i(a) = -2*k(a) - s(a). Let x be i(-4). Solve -4*j - 1 = -x*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*z**2 - 11*z**2 - 141 + 31 - 34*z**2.\nAnswer: -25*z**2 - 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**3 + 7*w**2 + 6*w + 5. Calculate the remainder when 47 is divided by d(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15196 and 986.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41141?\nAnswer: 41141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-33)\/(-6))\/(-11)*1*-6. What is the second derivative of -13*l**2 - 34*l**i - 5*l**2 + 38*l**3 + 96*l wrt l?\nAnswer: 24*l - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 111 - -100120001120211?\nAnswer: 100120001121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 0, -1, 5, 4 in decreasing order.\nAnswer: 6, 5, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -4. Let w(g) = 2*g - 24. Let c be w(11). Let m(t) be the third derivative of t**4\/24 + t**3\/6 - 2*t**2. Let v = 12 + -13. Determine c*m(q) + v*i(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 u, 1 g, and 1 j when four letters picked without replacement from {k: 2, a: 3, j: 4, g: 2, u: 5}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xcocococoeo. Give prob of sequence oex.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 + 10*j**2 + 58*j - 24. Let l be c(14). Solve -3*o + l*y + 2 = -15, 4*y = -20 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88.24129 meters in micrometers?\nAnswer: 88241290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.873 + 0.873. Put d, -5, -3\/7, -1\/5 in descending order.\nAnswer: -1\/5, -3\/7, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o**0\/o))**(2\/41)*o**(-3\/8)*o*o**(-2))**(-30) assuming o is positive.\nAnswer: o**(6285\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -4*s**2 - 14*s - 8. Let q be a(-2). Solve -k + q*i + 19 = 0, -2*k - 3*k + i = -19 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3 + (-1)\/(1\/4) + 16 + -9. Solve j = 13*v - 45 - 72 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - -4. Suppose -x + r*t + 1 - 2 = 0, 0 = -x + t + 1. Calculate the highest common factor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the third derivative of -c**4\/12 + 5*c**3\/3 + 9*c**2. List the prime factors of h(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5074 and 1652.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p - 6. Let y be x(-4). Do y and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes after 6:08 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(22) + sqrt(550)) + sqrt(22))*6)\/(sqrt(704)*-3*1).\nAnswer: -19*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -698a11 - 3?\nAnswer: -698a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/624 and -71\/624.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = -4*f - 45, -36*s - 2*f - 16 = -4*f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + (119 + -29 - (-1 + 7)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - ((-40)\/8 - -10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-142)\/(-9) + 8\/36. Let t = c + -6. Suppose 338 + 382 = t*q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -39 + 1 + 0*j - 1924*j**2 + 2*j - j - 35 wrt j.\nAnswer: -3848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiinnniiiiinn. Give prob of picking 1 i and 1 n.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 2*h - 106 = -f, 2*h - 3*f - 56 = 0. Suppose -5*r + 6 = -h. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + 3*q + q + 16, 4*q + 22 = 2*o. Let v(b) = -9*b + 1. Let l(p) = -1. Suppose -5*g - 3 = -8. Let z(t) = g*v(t) + 2*l(t). What is z(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 - 1 - (-34 - (-16 + 6 + -4) - -9)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 5*y = -7*i - 11*y - 227, -5*y + 80 = -2*i - 6*y for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -34?  (a) -0.2  (b) -4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 - 11. Let c be -5 - -1 - (-9 - -8). Sort 3, -4, c, n.\nAnswer: -4, c, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 + 9. Sort 4, o, 2\/21, 1\/3 in decreasing order.\nAnswer: 4, o, 1\/3, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1583280 divided by 13194?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -7487138, -29948531, -67384186, -119794103, -187178282, -269536723?\n\"Answer: -7487131*m**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 1 + 2)*(1 - 2 - 5)*(4*p - 2*p**3 + 0*p - 2*p).\nAnswer: -24*p**3 + 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -422  (b) 5134  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 16\/133  (b) 0.1  (c) 76  (d) -0.08  (e) -7  (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 2*x = -92, -x - 5 = 4*x. Suppose -l - h = -f, -l = -f + 2*l + 16. What is the remainder when f is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 72235 + -41379. What is the thousands digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 53 divided by 11\nAnswer: 53\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -472740 times -3\nAnswer: 1418220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 92*s**2 + 10*s - 14. What is the units digit of f(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, s: 6, k: 1, e: 8, l: 1}. What is prob of sequence klle?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 5  (b) -2\/3  (c) -2  (d) 2\/16937\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = -d - 197*q + 193*q, -11 = 3*d + 5*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 61*q + 3440. Give u(-57).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, -4, -0.0331, 28, -2\/5 in descending order.\nAnswer: 28, 0, -0.0331, -2\/5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 111*s**2 + 42*s - 131. What is the hundreds digit of w(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 3 - 2 + 0 - 2. Let r(j) be the third derivative of 0 + 0*j - 22*j**2 - 1\/24*j**4 + 1\/6*j**3. Determine -3*k(z) - 2*r(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*r**3 - 3*r**3 - 2*r**3 - 1 - 309*r + 307*r - 6*r**3 to the form d*r**3 + n*r + m*r**2 + i and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (850\/20)\/(-17)*-91*(-240)\/(-1400)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2371 divided by -768.\nAnswer: 2371\/768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4720 and 424640.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2598949 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -346 + 349 + -4 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 0.2  (b) -85  (c) 157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 455\/117*102\/(-4). Is n <= -99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h\/h**0))\/(h*h**(2\/15))*(h\/h**(-2))\/(h\/h**(3\/4)) assuming h is positive.\nAnswer: h**(37\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00012274 rounded to six decimal places?\nAnswer: 0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**4 - 6*i**3 - 3*i**2.\nAnswer: -3*i**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**4 - 210*y**3 - 1607*y**2 + 1818*y.\nAnswer: -y*(y - 1)*(y + 9)*(y + 202)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -5*l**5 + 260*l**4 + 27355*l**3 + 568890*l**2 + 3263400*l = 0?\nAnswer: -28, -21, -10, 0, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 - 0.219?\nAnswer: -0.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 6*r + 1. Let w(m) = -m. Let g(l) = -5*w(l) - x(l). Suppose 4*z - 3*y = 4, y + y = z - 1. Let p = z - 0. Let s(i) = 6*i + 6. Give p*s(n) + 4*g(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9 in 15, 1\/7, -11\/2, 0, 49\/5?\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 1 = -4*r + 15, 3*f + 2*r = 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35 - 39 = -3*n - v, -4*v = -n + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, 194000, 4.\nAnswer: 0, 1, 4, 194000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 - 13*l**2 + 55*l + 386. Determine b(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r\/(r*r**(-2\/37)*r*r*r*r)*r**(-20) assuming r is positive.\nAnswer: r**(-886\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 15  (b) -4\/7  (c) 0  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 105, 140, 185, 246, 329, 440, 585, 770?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7 and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38 is divided by 4 - 1\/((-2)\/14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2 - 160*y - 161*y + 320*y. Let j(u) = 3*u. Calculate j(q(w)).\nAnswer: -3*w - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -3*i**3 + 7*i**2 + 13*i - 12. Let a be x(6). Let z = 527 + a. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33858*h - 33970*h + 9632 = 0 for h.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -10773*l - 64860. Determine b(-6).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21)\/174*((-3)\/42)\/(9\/(-18)).\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/15085 and -26\/2625.\nAnswer: 1131375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*g + 23*g = -24*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10566*n - 167 = -10571*n + 4*o, 0 = -n + o + 34 - 0 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 19, u: 1}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 6*k**2 + 13*k. Let d = -48 - -51. Let g(u) = 8 - 5 - u - d. Let l(i) = 4*a(i) + 44*g(i). What is the second derivative of l(p) wrt p?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.0326 - -5.2806. Let b = -0.048 + f. What is b rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4.1 - 1.1. What is the biggest value in 0, 5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/38*(-1 + 5 + -5). Sort 1\/3, -3, d in ascending order.\nAnswer: -3, d, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (20*347)\/(8\/4). Let m = p - 2353. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -113.2  (b) 0.1  (c) -34  (d) -14\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2, -28, -100, -242, -478?\n\"Answer: -4*h**3 + h**2 - h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -90 or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a = 4, 8*a - 29252 + 29175 = 3*h for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4\/6)\/(3\/6). Let w = 32\/57 - 17\/19. What is the second biggest value in r, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the second derivative of 0 + 0*n**3 + 0*n**4 + 2*n**2 - 1\/20*n**5 + 4*n. What is the first derivative of t(k) wrt k?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((-52)\/(-10))*46*86\/4945?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5058\/(-45)*(-35 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(-7)\/(-28)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 2*p, 6*c - 7*c + 5*p + 4359 = 0. Is 77 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 13 - 3 = 0. Let o = 23 - y. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -2\/13, -4, -72, -3, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*p - 7*p = -4*p. Solve 4*r - 2*x - 14 = 0, -x + 1 = 2*r - p*x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 1286*i - 6448. Let m be j(5). Let r(q) = q**2 + 21*q + 21. Give r(m).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 7*m - 1. Let y be x(1). Suppose -11*w - 12*w = -253. Suppose -w*i + 175 = -y*i. Calculate the greatest common divisor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -2\/7  (c) -2  (d) 2\/197\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-2))\/(32\/64)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*b = 12*b + 360. Let f = -8 + 11. Let s be (2 - -1)\/(f\/5). What is the highest common factor of b and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -63*u**2 - 6*u - 4. Suppose -2*t + 10 = -4*t. Let j be q(t). Let p = j - -1009. Round p to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**3 + 19*s**2 + 34*s + 17. Let o be q(-17). Suppose o*r - 101 = 1259. Calculate the highest common divisor of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1922 - 2006 = 14*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4294729 is divided by 107365?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4424 + -3515?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 11291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2806 is divided by 6\/20*(-18 - -20) - (-517)\/5?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y*y*y**(-1\/10)))\/((y*y**(-1\/11))\/y))**(-2\/61) assuming y is positive.\nAnswer: y**(89\/3355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 + 3)*(-6*s - s + 2*s + (0 + 3 - 4)*(-3*s + s + 0*s) + (6*s - 5*s - 7*s)*(1 + 1 + 12) + 3*s + 3*s - 5*s).\nAnswer: -430*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1763)\/860 + (-1)\/(-20). Let v be -128*(m + (-19)\/9 - -4). Factor -v - 32\/9*z - 2\/9*z**2.\nAnswer: -2*(z + 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = s - f, -2*f = 2*s - 3 - 7. Suppose -5*r = s*k + 16, 4*r = -r - 20. Let x = -48 + 48. Solve x = k*b + 7 + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 2*s = -10, -8*x + 100*s = 103*s + 80 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of o**6\/24 + 19*o**5\/20 + 49*o**4\/8 + 31*o**3\/6 - 99*o**2\/8 - 81*o\/4 - 536. Find n, given that z(n) = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -m + 4. Is 2\/m - (-7965)\/21 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 192261206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**5\/q*q)\/(q\/q**(-7)) assuming q is positive.\nAnswer: q**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (36\/(-54))\/(56\/(-63))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2188252 + 2?\nAnswer: -2188250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 14560 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 - 239*t**2 + 2531*t - 4546. Give p(228).\nAnswer: 698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = 4*k + 2*j, -2*k - 3*j - 573 = -545 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(1089) + sqrt(1089)*-1*5))\/((-4*sqrt(132))\/(2*sqrt(11)*-3)).\nAnswer: 132*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2c (base 13) to base 12.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 e when two letters picked without replacement from gggpagagpeppgng.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 40782 - 40782. Let r = -0.08 + 0.38. What is the third smallest value in f, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/8 and -1\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of 27*j**6\/2 - 288*j**5\/5 + 46*j**4 + 128*j**3\/3 + 8*j**2 + 52. Let d(u) = 0. What is u?\nAnswer: -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/((-48)\/12))\/((-28)\/(-21))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 502*f**3 - 10075*f - 200*f**3 + 10075*f.\nAnswer: 302*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 17.9*1.1\nAnswer: 19.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that q**4 + 1001*q**3 - 113922*q**2 - 231840*q = 0.\nAnswer: -1104, -2, 0, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-23)\/((-1 - 0) + 2). Let t = a - -45. Suppose 2 = -4*x + t. Solve 5 = g, -3*d + x = 3*g - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 - 261116415?\nAnswer: -261116415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-53)\/(-4) + 8\/(-32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2940304701 to the power of 1\/3, to the nearest integer?\nAnswer: 1433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -155*u**2 - 11*u + 19. Let l(j) = -81*j**2 - 6*j + 10. Give -11*l(d) + 6*n(d).\nAnswer: -39*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 37 = -34. Suppose -5*n - g - 4*g + 155 = 0, -5*g + t = 2*n. Solve -2*d + 5*d = k + 11, -4*k = -4*d + n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27*c**4 - 220*c**4 + 64*c**4)*(-2*c - c + 4*c)*(-2 + 4 + 0).\nAnswer: -258*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 68\/(-17) + 1 + 8\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7 or 192\/25?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -48.742 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/59?  (a) 2\/13  (b) 15  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 - 8*r + 11. Give b(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8375956.\nAnswer: 2, 23, 181, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9919 and 3270.\nAnswer: 297570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -329*k**3 - 56*k**2 + 56*k - 56. Let m(l) = -30*l**3 - 5*l**2 + 5*l - 5. What is -56*m(x) + 5*p(x)?\nAnswer: 35*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 20 = -5*c, -c - 2*c = 15. Let w be h + (2 - 4) - 23512\/38390. Let r = w + 89\/55. Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 149 a factor of 8174587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -419 - -728. What are the prime factors of a?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -255.5 + -43.5. Let j = -299.0483 - x. Let o = j - -0.048043. Round o to five dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 4050 = -8*g + 3*g, 0 = -4*s. What is the remainder when g is divided by 257?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v - v - 3*v + (2 - 3 - 1)*(0 + v + 0) - 44*v + 36*v - 127*v + (-1 - 2 + 2)*(0*v - v - v))*(-10*v**2 - v + 12*v**2 + 2*v).\nAnswer: -274*v**3 - 137*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -37  (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from {b: 1, l: 3, s: 1, v: 1, j: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -141 - -130. Let p = 14 - 20. Let f(s) = 13*s**2 + 11*s - 11. Let j(u) = -7*u**2 - 6*u + 6. Give p*f(a) + v*j(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -q + 3*z + 23, -4*z - 32 = 3*q. Let x = 2 - 1. Put 4, q, x in increasing order.\nAnswer: q, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 80*n**2 - 32*n**2 - 168*n**2 - 79*n**2 - 75*n**2.\nAnswer: -274*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o = 5*n + 11 + 34, 3*o + 30 = -3*n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110 = -5*c - p - 4*p, 3*p = -2*c + 45. Suppose -5*f - 32 = -c*f. Suppose 6 = 2*y + 2. Solve 0 = f*b + y*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7561.3 + 7562. Which is the biggest value?  (a) 2\/15  (b) -38  (c) o  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4278 and 1555766?\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 5*m + 24 = -0, -3*b - 3*m = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 4001 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b\/(b**(3\/4)*b))**(1\/7)\/((b**(4\/7)\/b)\/((b\/b**(1\/8))\/b)) assuming b is positive.\nAnswer: b**(19\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -95 + 97. Suppose -g*u - 2205 = 5*u. What is the lowest common multiple of 22 and (16\/(-5))\/((-7)\/u*-6)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20*0.1311\nAnswer: -2.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:03 PM and 9:45 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 358*i = 419*i + 671 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*w**3 + w**4 + 11*w + 2*w**4 + 5*w**3 + 8*w**3 to k*w**3 + q*w**4 + x + s*w + o*w**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + -1 + 0 + (-11 - -11) + (519 - 509)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 761 + -775. Does 3 divide 457\/2 - r\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12674 - -42739. What are the prime factors of l?\nAnswer: 5, 7, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 805, 1625, 2457, 3301, 4157, 5025?\n\"Answer: 6*d**2 + 802*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the second derivative of -t**6\/340 + t**5\/102 - t**4\/102 - 7*t**2\/2 - 14*t. Let k(i) be the first derivative of j(i). Suppose k(l) = 0. What is l?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 44*q**2 + 1338*q + 540.\nAnswer: 2*(q + 30)*(22*q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-637)\/39 - -15)\/(-2)*(-2288982)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 2*u - 28 = y, 0 = -y - 3. Suppose -u*w + k + 77 = 0, 4*w + 4*k = -0*k + 76. Solve -3*m = 1 - w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 453112 - 0?\nAnswer: 453112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 36 - 36. Suppose -a - 39 = -4*p - z*p, -3*a = -2*p + 17. Solve f - 6*f = p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72*n + 40*n - 87*n + 39*n.\nAnswer: 64*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -85, -80, -75, -70, -65, -60?\n\"Answer: 5*l - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -794064, -794066, -794068?\n\"Answer: -2*f - 794062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vccc when four letters picked without replacement from vccnc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gnqnvgk. What is prob of picking 1 v and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -43 + -4?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22610 divided by 11305.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6359 a factor of 195366446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -7*u - 17. Let v(h) = -50*h - 145. Let g(f) = 15*i(f) - 2*v(f). Give g(22).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*s**3*t - 30*s**3 - 42*s**2*t + 2*s**2 - 2*s*t - 27*s - t + 4 wrt s?\nAnswer: -18*s*t - 180*s - 84*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5211963247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 6052704080 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39439 is divided by 3584.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**0\/t**(-24))\/(t**10)**(6\/19))**12 assuming t is positive.\nAnswer: t**(4752\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(2\/9))**41*(k\/k**(-1\/2))**(1\/15))\/((k**0*k*k*k)**20\/((k\/k**4*k)\/k**4)) assuming k is positive.\nAnswer: k**(-3061\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 43\/6 + 2\/(-12). What is the second derivative of 3*x**5 - 4*x**5 - 6*x + z - 7 wrt x?\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -5  (b) -0.3  (c) 2  (d) 947  (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 4 = -0. Let x = 2.708 - -0.292. Sort 0.4, h, 0.3, x in increasing order.\nAnswer: 0.3, 0.4, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes before 5:55 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r*r**(-3))\/r)**(-35)*(r**(-2))**(3\/10))**49 assuming r is positive.\nAnswer: r**(17003\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in seventeen sixths of a day?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 14*y - 20. Is o(4) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -1\/5, -3, 2, -0.24 in ascending order.\nAnswer: -12, -3, -0.24, -1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = 5*c + 10, -3*i - 6*c + 10 = -11*c. Calculate the remainder when 91 is divided by i + 1 + 49 + -2.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 209 divide 6740649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -10137.66863 rounded to the nearest 100?\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -915 divided by -61.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -1.678721 at most as big as -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25 (base 9) to base 6.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -56.5 - -87. Let l = 18.8 - c. Round l to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the second derivative of -x**6\/6 + x**5\/4 + 5*x**4\/12 - 5*x**3\/6 + 9*x. Suppose t(v) = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 374 - 314 = 20*s. Solve 5*y = -s*c - 30, 0 = 3*c - 7*c + 3*y - 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97 = 3*l - 13. Let y be (-1)\/7 + 12\/l. Which is the second smallest value?  (a) 2  (b) 2\/11  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 360907*d - 721924*d + 361004*d.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w - 5*m - 38, 3*w + 0*m - 52 = -2*m. Let t be (-35)\/(-10) + 1\/2. Differentiate t + 39*o**3 - w*o**3 - 14*o**3 wrt o.\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**2 - 4*z - 3. Let a be t(5). Let x(f) be the second derivative of 2*f - 7\/2*f**a - 1\/12*f**4 + 1\/6*f**3 + 0. Give x(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1809)\/804)\/(3\/(-2))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 15\/2*1\/(4\/16). Suppose b = 2*x - 8, -6*b + b - z = -5*x. Let g be (-600)\/(-2310) + (-2)\/(-14)*x. Is g less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -j - 360. Calculate the remainder when (j\/(-9))\/(2\/4) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8 * 0.295.\nAnswer: 2.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 + 3*b**2 + 10*b + 24. Let r be f(-8). Suppose 0 = 7*v - 4*v - r. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 - -8. Solve -5*a + 2*a - 9 = b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 43098, 84334, 125548, 166734, 207886, 248998, 290064, 331078?\nAnswer: 372034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11000101 - 10011000111100?\nAnswer: -10011100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14 - 12. Let s(x) = 2*x**2 - 4*x**2 + 1 + x**2 + 17*x + n*x**2. Let t be s(-17). Solve i = 2 + t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*f**2 - 8*f**2 - 9*f**2 - 5*f**2 - 3*f**2.\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91 - 221 = 26*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3165600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18262 is divided by 78?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12645 = -255*w + 300*w. What is the greatest common divisor of 28381 and w?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 22721094 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -110, -211, -306, -395, -478, -555, -626?\n\"Answer: 3*n**2 - 110*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -26*z**2. Let y(p) = -23983 - 10*p + 23983. What is y(m(u))?\nAnswer: 260*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 4*p**3 + 38*p**2 - 577*p - 5785. Give y(-10).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -989, -2117, -3245, -4373?\n\"Answer: -1128*r + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the second derivative of -z**4\/12 - 3*z**3\/2 - 3*z**2\/2 - 2*z. Let u be i(-9). Put 1\/9, 4, u in descending order.\nAnswer: 4, 1\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-36)\/102*-17)\/99.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -34 (base 9) to base 4\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - 3*v**2 - 26*v - 12. Does 54 divide x(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -675\/11 - -1611\/44. Let d = 12 - 18. Calculate the common denominator of y and (-4)\/d + 233\/24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_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: What is 631 minutes before 3:02 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-218 + -1)*76\/57. Let v = -81 + 45. Calculate the remainder when d\/(-6) - (-24)\/v is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 62*s**3 - 28*s**3 - 44*s + s**2 - 30*s**3 - 2*s**4 to t*s + h*s**4 + d + p*s**3 + q*s**2 and give t.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**2 + 5*o + 6. Let x be b(-4). Suppose 4*m = x*m + 2. What is the units digit of (0 - 5)\/(0 - m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 26 - 23. Suppose 5*m - 3*m - 4 = 0, 5*r - 134 = q*m. Let s = r - 20. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**3 + c**2 + c + 3. Let l be n(0). Suppose -l*v - 11 = 5*h - v, h = 2*v - 7. Suppose -3*x = -4*x. Put x, 3, h in ascending order.\nAnswer: h, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**3 - 4*c**2 - 3*c - 3. Let p be m(-4). Let o = p + 4. Let g = 36 + o. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 11) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -121 - -120.974. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the third derivative of -9557*o**8\/336 - o**5\/20 + 1234*o**3\/3 - 453*o**2 + 2. Find the third derivative of l(t) wrt t.\nAnswer: -573420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -4*q**3 + q + 2. Let w be h(-1). Let a be 8\/(-6)*(w\/2 + -4). Suppose 0 = 3*b + 70 + a. Put b, -4, 4 in ascending order.\nAnswer: b, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5839740 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 90 is divided by 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 315 + -311. Let i = -6 + 14. Suppose 0 = -6*h + a*h + i. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes before 2:34 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 + (-4 - -3) - 95. Let h = -427\/4 - k. What is the common denominator of (0 - 2) + (-146)\/16 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 35 - 19. Let i = -14 + d. Suppose 0 = i*a + 2, -2*n + 7*n + a = 159. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 = -39*t + 200 + 32 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (145 - 114 - (15 + 3)) + 22.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.107 - -2.833. Let n = 0.06 + t. Sort -3, -2\/7, n in ascending order.\nAnswer: -3, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*z + 2*z - 8 + 18 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/(-28)*-4*16\/312?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-8)\/u*u*u*u**(-4\/9))**(-18\/7) assuming u is positive.\nAnswer: u**(134\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:14 AM and 2:00 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-8)\/(-2))\/((-6)\/(-15)). Let k be (16\/x)\/(12\/480). Let f = -22 + k. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2\/9)\/f*f)**(-2\/3)*(f\/(f*f*f**(-1\/5)*f)*f)\/f**(-1\/4))**(-1\/20) assuming f is positive.\nAnswer: f**(217\/10800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -24*l + 19*l + 15. Let z(o) = 0 - l - 2 + 4. Let c(f) = -f**3 + f**2 + 44*f - 10. Let r be c(7). Let t(a) = 2*a**2 + a + 5. What is r*z(w) + t(w)?\nAnswer: 2*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 9) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 372 and 93.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (54\/(-45)*(-108)\/8)\/(1\/5) and 90.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/(1 + -4) + -1. Let i = h - -6. Find the third derivative of n**4 - n**4 + n**i - 2*n**2 wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - y + 42 = 0, 2*y - y - 53 = -5*z. Suppose -z - 1 = -4*u + r, 2*r + 12 = 2*u. What is the remainder when u is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 350219687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17417388\/476003 - -1\/86546. Let h = 56\/11 + w. Calculate the common denominator of h and -44\/127.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104935629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1837 (base 10) in base 15?\nAnswer: -827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -11 times 6391\nAnswer: -70301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (13 - (3 + 3)) - -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 165 = i. Suppose k - 4*v = -0*v + 138, k + 4*v - 162 = 0. Let r = i + k. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/4)\/(-5*(-42)\/280)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 4 = 2*p. Let r(z) be the first derivative of -3*z**2\/2 + 2*z + 18. Let q(a) be the first derivative of -a**2\/2 + a + 3. What is p*r(n) - 2*q(n)?\nAnswer: -4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**2 - m. Let j(s) = -93055*s**3 - 6*s**2 + 4*s + 12. Let r(l) = -j(l) - 2*o(l). Let g be r(6). Round g to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -2*a - 3. Suppose -19*f + 18*f = 63. Let o be 207\/(-2)*(9 - (-125)\/(-15)). Let g = o - f. What is n(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (45 + -4 - 6) + -1. Suppose -y*l + 11624 + 20438 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -643779138 - 51003162 = 126*t - 15*t. Round t to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 2*q - 47. Let a be h(24). Let x(r) = r - 3. Let b(w) = -9. Let d(f) = -5. Let c(n) = 6*b(n) - 11*d(n). What is a*x(z) + 3*c(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the second derivative of -313*j**5\/5 + 6077*j**3\/6 + 131*j - 15. What is the second derivative of c(q) wrt q?\nAnswer: -7512*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m + 2. Let y(w) = w**2 + 5*w. Let r be y(-5). Let l be d(r). Calculate the greatest common divisor of 6 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 4025736, 4025740, 4025746, 4025754, 4025764, 4025776?\n\"Answer: o**2 + o + 4025734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 - -1121?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**2 + 72. Let d be l(0). Suppose -n = -3*q - 5*n + 323, -3*q + 331 = -4*n. Let b = q - d. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -2*i**3 - 9*i**2 - 11*i. Suppose -5*c + 2*w + 21 = -42, 5*c - 71 = 4*w. Let u(t) = -t**3 - 5*t**2 - 6*t. Give c*u(k) - 6*b(k).\nAnswer: k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 27, -0.3, -13 in descending order.\nAnswer: 27, -0.3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/228370 and -39\/365392?\nAnswer: 1826960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 9*p - 4. Let v be t(0). Let b(n) be the first derivative of 14 - 1\/4*n**4 - 2*n**2 - 5\/3*n**3 - n. Give b(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 3 q when four letters picked without replacement from qgqqggggqgdqddqggdgg?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 4348.1624 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -201*t**3 - t**2 - 17*t - 34.\nAnswer: -1206*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 4*t. Let p = 0 + 12. Suppose -p = -2*l - 6. Let v(g) = -2*g**2 + 2*g + 2. Let r(j) = 2*j**2 - 3*j - 3. Let x(w) = l*v(w) + 2*r(w). Calculate x(k(i)).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 - 54*c**2 - 640*c + 26. Calculate l(-17).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**5*d)\/d**(-1\/8))\/(d*d**7*d\/((((d\/(d*d\/(d*d*d**(2\/7))))\/d)\/d)\/d)))**(1\/24) assuming d is positive.\nAnswer: d**(-257\/1344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 133, -72, -619, -1508?\nAnswer: -2739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1093340054 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/(-112))\/((-125)\/56000)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 2*f - 2. Let c(t) = -t**2 - 9*t - 2. Suppose -22 = 4*s + 14. Let i be c(s). Calculate u(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 118 + -121. Let w be f + 3 + 2 + 1 - -1. Let q(u) = -2*u + 1. Let x be q(3). What is the biggest value in x, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 260 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17020\/69)\/74*12\/(-70).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 + 4*j**2 + 2500*j - 45054. Determine i(21).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 36755 > 36718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 - 12*q + 54. Suppose 0 = 5*z - 194 + 154. Let l be a(z). Is l at least 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7501 - -15003\/2. Find k, given that m*k**5 - k**4 + 0 + 0*k**2 + 0*k + 1\/2*k**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 0 + 2*q**4 + (3*q**4 + 0*q**4 - q**4)*(4 + 0 + 0) - q + q**4 + q to j + u*q**3 + y*q**4 + w*q**2 + g*q and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -310*w - 2216. Let u be q(-6). Sort u, -4, -5 in increasing order.\nAnswer: u, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -257aa58 (base 11) to base 13.\nAnswer: -c0469c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 2*t**2\/11 + 3456*t\/11 + 1492992\/11 = 0.\nAnswer: -864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-3)*r*r\/r**(-2)*(r*(r*r**(-1))\/r)**(19\/4) assuming r is positive.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - -0.063?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*y - 11*y - 19998 = -13*y. Calculate the remainder when y is divided by 47.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/(-6)*72\/32. What is the nearest to 0 in d, -2, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*h**2 + 23*h**2 + 17*h**2 - 4*h**2 + 0*h**2 + 6*h**2 + (-h + h - h)*(h - 4*h + 2*h) as o + x*h**2 + d*h and give x.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 978, 3901, 8766, 15573, 24322?\n\"Answer: 971*o**2 + 10*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -3*w**2\/8 + 11499*w\/8 + 5751\/4 = 0.\nAnswer: -1, 3834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {v: 2, q: 4, f: 6, o: 2, y: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 7*y**3 + 21*y**2 + 9. Let r(l) = 2*l**3 + 5*l**2 + 2. Let j = 8 + -17. Let b(a) = j*r(a) + 2*s(a). Find the third derivative of b(p) wrt p.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22, -35, -38, -25, 10, 73, 170?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1396 and 17044.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 28432 or 28104?\nAnswer: 28104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16036, 16032, 16026, 16018, 16008, 15996?\nAnswer: 15982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -10000110 (base 2) in base 7?\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1681, 1686, 1705, 1744, 1809?\n\"Answer: k**3 + k**2 - 5*k + 1684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 285848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 60683911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3910521*g**5 - 2*g + 164847?\nAnswer: -78210420*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1093483 = 3*g - 2*f, -4*g + 1884010 = -3*f + 426035. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 34 and 2722065466?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3773, 3418, 3075, 2750, 2449, 2178, 1943?\nAnswer: 1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 725 = -5*q, 0 = -2*q - 4*o + 367 - 81. Calculate the greatest common factor of q and 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2275187?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -2*l**2 + 41*l + 187. Let h be s(0). What is the highest common factor of 22 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10735.\nAnswer: 5, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - (12 + -4)) + (15 - 28) + -3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -319*c**2 + 1741*c**2 - 324*c**2 + 1043*c**2.\nAnswer: 2141*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-664)\/(-415))\/((-3)\/5)*21\/49.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 33.92 and 0.3.\nAnswer: 10.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2434879696 to the nearest integer?\nAnswer: 49345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5348 + 5348.5. What is the biggest value in -1\/4, 2, 2\/5, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3549 = 36*b - 3981 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 54 * -649100\nAnswer: -35051400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 467177.4 microseconds in milliseconds?\nAnswer: 467.1774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -387*b**2 + 1170*b**2 - 372 - 388*b**2 - 391*b**2 as q*b + j*b**2 + y and give y.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 15*o**2. Let u(g) = -3*g + 162. What is r(u(m))?\nAnswer: 135*m**2 - 14580*m + 393660","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + u + 23043 = 5*u, 0 = 5*x - 5*u - 23070. What is the tens digit of (-1)\/(-5) - x\/(-145)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24935350 and 1586795?\nAnswer: 174547450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 240\/(-120)*(-30)\/(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d - 1. Suppose 6*m = 5*m - 13. Let w(p) = -p - 16. Let k be w(m). Let t be a(k). Are -3 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 858456 and 94716312?\nAnswer: 284148936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.3 smaller than -50\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 3*y**2 + 11*y + 13. Let a be f(-3). Solve q + a = 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 251509008*p**5 + 180*p**2 - 14*p + 6905 wrt p?\nAnswer: 15090540480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -89*b - 4151. Let z be l(-47). Solve -23*s - z = -9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 574390980 smaller than 574390979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -4*h + 173. Let w be u(43). Let d(r) = 2*r**2. Give d(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -63\/5 + 13. What is the nearest to -2 in -3, o, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 58547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 0. Let z be 1\/((-1)\/(j\/(-2))). Put -3, -1, z in descending order.\nAnswer: z, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -120*q**5 + 301*q**2 - 146982*q.\nAnswer: -2400*q**3 + 602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 571371358.\nAnswer: 2, 43, 449, 14797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 2492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 2*g + 3. Let j(t) = 49*t - 8. Let l(n) = -j(n) - 2*m(n). Let w(o) = 2*o. What is w(l(q))?\nAnswer: -106*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q + 34. Let u(n) = n + 34. Let y(j) = -4*r(j) + 5*u(j). Is y(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -370*k**3 - 5*k**2 + 2*k - 2. Let z be j(-4). Suppose -2*n - z = 3*g - 7*g, -3*n = 2*g - 11815. What is g rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/2*((-3 - -8) + -1). Let m be (-3 - g)*-1 + -4. Suppose 30 = 5*n + 2*k + 3*k, -4*n + m*k + 6 = 0. Calculate the greatest common divisor of n and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8734 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11688 is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80)*-3 + -3 + (sqrt(20)\/sqrt(4)*3 - sqrt(5)) + 5)**2.\nAnswer: -40*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 62325 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - b - 2162 = -3*b, -4*b = 4*m - 2876. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/16 and 39\/872?\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 3*y = 4*u - 36, 5*u = 3*y + 21. Let x(m) be the first derivative of 2*m**y + 3\/4*m**4 + 0*m + 0*m**2 + 15. Find the third derivative of x(g) wrt g.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*k**3 + 1 - 2*k**2 - 12*k**3 - 2*k + 3*k - 15*k**3 to l*k**3 + u*k**2 + q + i*k and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*h - 77582 = -3*q - 57*h, 5*q - 129340 = -h. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1264, -2522, -3782, -5044?\n\"Answer: -p**2 - 1255*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 2 + 21*i + 1.\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the second derivative of 11*i**7\/14 - 4*i**3 - 30*i. Find the second derivative of u(j) wrt j.\nAnswer: 660*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**2 + 26*y - 6. Let q be b(-29). Let h = 151 - q. Calculate the highest common divisor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 4*h + 14 = 0, l - 5*l - 3*h + 5 = 0. Find the third derivative of 72*w**4 + 4*w**6 - 72*w**4 + 2*w**l wrt w.\nAnswer: 480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 730 at most as big as 724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 3*b = 0. Suppose -7*p + 3*p + 252 = b. What is the greatest common factor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -1195*o - 10. Let x be j(1). Let a = x - -2266. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2460961.8234 rounded to the nearest 10?\nAnswer: 2460960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 at most as big as 1244673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -250370464*p**3*x**2 - 629*p**3*x - 48848*x wrt x?\nAnswer: -500740928*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*o + 2510 - 222 = -10*o - 32*o for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/555)\/((-40)\/(-900)*-9).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3453400 rounded to the nearest 10000?\nAnswer: 3450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 410, 402, 382, 344, 282?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4457 - 541 + 4998 + 219*o**3.\nAnswer: 219*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132*v + 59 = 3*n + 127*v, 0 = -5*n + v + 135. Solve 0 = -8*s - 12 - n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 + -3. Let j = -2 - x. Which is the second smallest value?  (a) j  (b) 2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**3 + 4*l**2 + 8*l - 1. Determine a(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 9420\/168 - (108\/(-56) - -2). Sort t, -2\/3, 0.3 in ascending order.\nAnswer: -2\/3, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 6 = -x. Calculate the least common multiple of 5 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 11:01 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 98*a - 124*a + 204*a + 1 + 5.\nAnswer: -18*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28.795353ms to minutes.\nAnswer: 0.00047992255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -120056, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z + 2*v - 12, 0 = z + 2*v + 36 - 33. Let o = -8.8 + -2.2. Let f = -3 - o. Which is the smallest value?  (a) f  (b) z  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-h - 4 + 3*h + 11)*(-h + 8 - 8) to the form l*h + g*h**2 + t and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 + 47*k. Let b(j) = -122*j**2 + 305*j**2 - 170*j**2. What is z(b(u))?\nAnswer: -169*u**4 + 611*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 86.12 - -0.88. Let m = -87.03 + x. Put m, -4, 0.04 in ascending order.\nAnswer: -4, m, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/14*21\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (9 - 11)\/(3\/(-6)). Suppose -72 = -2*d - 3*s + 6*s, b*s + 16 = 0. Calculate the greatest common divisor of d and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 7, r: 1, s: 2, c: 1, e: 3}. What is prob of sequence yyr?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 209670, 1677350, 5661040, 13418742, 26208458, 45288190?\nAnswer: 71915940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 2*k - 116. Let q(z) = -3482*z. What is j(q(g))?\nAnswer: -6964*g - 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tsgdootdssgggrs. What is prob of picking 1 s and 1 t?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 21.808 to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 14061, 111881, 377355, 894309, 1746569?\n\"Answer: 13971*q**3 + q**2 + 20*q + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03248192 rounded to three decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*d - 17*d**2 + 10*d + 99*d in the form y*d**2 + u + p*d and give p.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -34.8 + 34.3. Put 5, x, -2, 2\/5 in descending order.\nAnswer: 5, 2\/5, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -296*o = -288*o + 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 792 = 6*n. Let y = -180 + n. Let u be ((-24)\/y)\/((-40)\/14). Which is the closest to 2\/9?  (a) 0  (b) 3\/2  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 70 - 41. Let c = h + 81. Suppose -k + c = k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 176*p + 506 = 313*p - 159*p for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -10103 * -5.23\nAnswer: 52838.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2696, -2675, -2594, -2417, -2108, -1631, -950, -29?\n\"Answer: 6*m**3 - 6*m**2 - 3*m - 2693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (8\/132)\/(5\/10*8\/6). What is the closest to i in -21, 0.4, -2, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*c + 15, 414*c = a + 833*c - 415*c - 58 for a.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 16\/101 and -32\/5.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10001010001100010111010 (base 2) to base 15.\nAnswer: 5e6ac9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -9*x**2 - 107710*x - 1909653.\nAnswer: -18*x - 107710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -77 - -77.00048. What is h rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4.996 + -0.004. Let f = -8 + 4. Sort f, b, 4 in decreasing order.\nAnswer: 4, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l*l*l**(1\/5))**(-11))**(-10) assuming l is positive.\nAnswer: l**352","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 244026395 + -102769.\nAnswer: 243923626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 + (-24)\/(-10)*(-30)\/(-12). Solve -4*c**3 - 9*c**4 + h*c**3 - 6*c**3 + 9*c**2 - 13*c**5 + 10*c**5 + 6*c = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 5*j - 46. Let n be ((-1)\/(-2))\/(8\/208) - 4. Let o be y(n). List the prime factors of (136 + o)*(-4)\/(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2232 is divided by 56?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/6*(-2)\/12*-1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 38 + 46?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-792)\/(-10) + (184\/(-20) - -9). Is x greater than or equal to 86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -o**3\/7 - 584*o**2 - 36711*o\/7 = 0. What is o?\nAnswer: -4079, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 243 - 1206\/5. Calculate the common denominator of o and -47\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > -49161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 2*h - 24. Let w be d(15). Let u be (w - 5) + 1*4. Let s be -8 + (25\/u - 4). What is the third biggest value in 2\/11, -2\/11, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5.09 + -0.09. Which is the second smallest value?  (a) o  (b) 2  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21254010 a multiple of 681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*d + 6*d - 2*d - 20*d.\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = 2*m + 10, -4*i = 5*m + 23 + 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -468 - 1a6?\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 53 - 32. Suppose 0 = 3*t - a + 3. Let o(k) = -k**2 + 6*k + 4. What is o(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:26 AM and 10:11 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118 = -2*l - s - 36, -2*l + 84 = 2*s. Let q = -80 - l. Let v be (-6)\/9 - 64\/q. Sort -1\/8, v, 1, 4 in increasing order.\nAnswer: v, -1\/8, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.09 - 31.09. Let x = 30.87 + z. Let d = x - -1.13. Are 1\/34 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*y - 8*y = 0. Let l be y + 1\/((-1)\/8). Let g = l + 15. Solve 3 = -d + g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9*c**6 + 2*c**5 - 116668*c**3 + 10310382*c**2?\nAnswer: -1080*c**3 + 120*c**2 - 700008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = -5*b - 5*l, 1982*l - 1981*l - 36 = -5*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -812, -1535, -2258, -2981, -3704, -4427?\nAnswer: -5150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*0.96\nAnswer: 0.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:31 PM and 2:52 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1073, -2145, -3215, -4283, -5349, -6413, -7475?\nAnswer: -8535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 5*i**2 + 3*i - 6. Let d(n) = -2*n**3 + 78*n**2 - 79*n + 117. Let a be d(38). Let u(b) = -6*b**2 - 4*b + 7. Calculate a*u(r) + 4*s(r).\nAnswer: 2*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 0, -5, -10, -15?\n\"Answer: -5*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -9*n**3 - 2*n**2 - 5*n - 9. Let f be d(-3). Suppose 0 = -l - r + f, l + 3*r - 319 + 86 = 0. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/10  (b) -0.0248  (c) 21  (d) 0  (e) -1\/42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(3) - sqrt(9)\/sqrt(3)*1 - sqrt(3)) + -5)**2.\nAnswer: 20*sqrt(3) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -5. Let a be u\/((-3)\/(14 - 2)). Suppose 0*i - 156 = -a*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iigiiigiiiggiigiiiii?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7759309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 3*d + 0 + (-3 - 4 + 2)*(-4*d - 2*d + 4*d))*(4 - 4 - d**2) as j + o*d + x*d**3 + p*d**2 and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 11*p**2 - 3*p + 3. Let t be q(1). Suppose t + 19 = 5*a. Does 9 divide 81\/(4\/16*a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 85232229?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = x - 8. Let q be (-14)\/x*3\/(-21). Sort q, 2, -0.1 in decreasing order.\nAnswer: 2, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -273 + 28428*d**3 + 273.\nAnswer: 28428*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**2 + t + 19. Let s(y) = 2*y**2 + 2*y + 38. Give 11*o(v) - 6*s(v).\nAnswer: -v**2 - v - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 29285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15*g**4\/4 - 27*g**3\/2 + 18*g**2 - 21*g\/2 + 9\/4.\nAnswer: 3*(g - 1)**3*(5*g - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 4*q = -q + 33, -30 = -2*h + 2*q. Suppose -13 = -5*o + h. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 22677 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -50*w - 24. Let a(p) = 33*p + 16. What is -8*a(g) - 5*k(g)?\nAnswer: -14*g - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -8 - ((21 - 3 - 2) + -4)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/(-4) - 1 - -456002. What is s rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96029.\nAnswer: 109, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -77 + 247305*v**5 - v**2 - 246667*v**5 + 7*v**2 wrt v?\nAnswer: 38280*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -189\/55 + 40\/11. Let z = -993.5 + 993. Sort 4, l, -3, z in decreasing order.\nAnswer: 4, l, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -215*i**2 + 82*i**2 + 89*i**2 + 66*i**2 in the form u*i**2 + f + q*i and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 93*q**2*s**3 + 2*q**2 - 1022*q - s**3 wrt s.\nAnswer: 279*q**2*s**2 - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 5 - 20. Suppose 4 = g*p - 6. Let f be p + (-3)\/3 - -1. Solve c - f = -0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 - -2. Let s(l) = l**3 + 4*l**2 - 4*l - 1. Determine s(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + i + 4 = -5, j + 2*i = 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put together -4961.6 and -0.1.\nAnswer: -4961.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -93 - 7*w**3 - 4*w**3 + 10*w**3 + 13*w**2 - 4*w. Let k be x(12). Solve -5*p + 5*j - 5 = 0, 5*p + k*j - 11 - 24 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71392 is divided by 255.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -20 - -38. What are the prime factors of 4\/a + 646\/9?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29114, -31221, -33330, -35441, -37554, -39669, -41786?\nAnswer: -43905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 17\/1797150?\nAnswer: 17\/1797150","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2060719 is divided by 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 19 = 2*g + 2*c, -20 = -4*g - 4*c. Suppose 4*n + 24 = 32, 0 = -m + n + 14. What is the lowest common multiple of m and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 277780*v - 3611143. Determine k(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10185 + 10034. Which is the second smallest value?  (a) w  (b) 0  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -8) + (-2 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1248 take away 0.15?\nAnswer: -1248.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.9 + 5.9. Let f(y) = -y**2 + 41*y + 631. Let o be f(-12). Let s be (2\/(-4))\/((-11)\/88). What is the smallest value in s, z, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:34 AM and 9:26 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - 14 - (-2 - 1 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -116*a - q = -120*a + 36, -5*q - 20 = 0. Let v(r) be the third derivative of -r**4\/24 + 8*r**3\/3 - r**2. Let b be v(a). Solve 2 = -5*m - b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and 0.169683?\nAnswer: -0.0678732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -87*z**3 - 7*z**2 + 4. What is y(1)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 4*q - 23. What is the lowest common multiple of 16 and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 94738859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -5*l**2 + 5*l + 16. Let f be y(-9). Let u = 689 + f. Is 40 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 286776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3129299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 5*d - 2 = -d, 0 = -5*d. Let c = -3 - -37. Let b = c + -33. What is the closest to b in 0, y, 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -11*n - 6*n**3 + 2*n + 0*n - 7*n**2 - 5*n**3. Let y(o) = 6*o**3 + 4*o**2 + 5*o. Calculate 4*v(t) + 7*y(t).\nAnswer: -2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 0*y - 98 = -t, 0 = 2*y + 6. Calculate the highest common factor of t and 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 - -85.62194.\nAnswer: 85.82194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*6*(6\/(-9))\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37400 = 219*m - 269*m. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (31\/(-35) - -1)*-5.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 11 + 5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2 - 16*b + 66. Let g be x(7). What is the highest common factor of 81 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61*x**2 - 130*x**2 + 188*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 119528*p**2 - p - 119526*p**2 + p. Let r(y) = -2*y**2 + 2*y + 183. Give r(u(k)).\nAnswer: -8*k**4 + 4*k**2 + 183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of -r**3\/3 + 5*r**2\/2 + 2*r - 1. Suppose -9*g + 31 + 635 = 0. Suppose 0 = 2*u + 3*d - 23, 3*u + 52 = -2*d + g. Determine f(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 6:53 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 1, 0.4, 0.2, -5\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 5, o: 1, s: 3, y: 3, x: 7}. Give prob of picking 1 r and 1 o.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n = 3*v - 43, -635*v + 1272*v - 25 = 4*n + 628*v for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -17*r**2 - 648*r - 60. What is v(-38)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 2*p = 560, 3*p + 305 = o + 7*p. What is the greatest common divisor of o and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -44, -86, -148, -236, -356, -514?\nAnswer: -716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -9*n. Let m(z) be the first derivative of 0*z - 1\/2*z**2 + 4. Determine a(m(c)).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41376 is divided by 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is dc + 4?\nAnswer: e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -40, 189, -1.9, 0.1 in ascending order.\nAnswer: -40, -1.9, 0.1, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -73835580*n**4 - 137453*n + 292 wrt n?\nAnswer: -886026960*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 5d (base 14) to base 2\nAnswer: 1010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 12822764?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 divided by -85?\nAnswer: -27\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 2*k - 31 - 1 = 0, 0 = j + 2*k - 4 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2 + 40 - 9\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -2*b**2 - 213*b. Let p(a) = -a + 2989. Give l(p(n)).\nAnswer: -2*n**2 + 12169*n - 18504899","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 245.71 + -258. Round i to one decimal place.\nAnswer: -12.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -44, -93, -132, -155, -156, -129?\n\"Answer: n**3 - n**2 - 53*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 250365278?\nAnswer: 2, 125182639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 - 1)*(-3 + 1 + 3)*(4 - 4 - 2*o)*(-8*o + o - 7*o).\nAnswer: -56*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2578*h**2 + 1337*h**2 + 1403*h**2 + 2*h + h**2 + h**2 - 3*h**2 + (-4*h**2 + 4*h**2 + h**2)*(1 - 2 + 3) to the form b + a*h + j*h**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the second derivative of 0*c**2 - 21\/20*c**5 - 2*c - 2 - 8\/3*c**3 - 1\/12*c**4. What is the third derivative of z(y) wrt y?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 506281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(4860) - (sqrt(4860) + (sqrt(4860) - 1*sqrt(4860))) - sqrt(4860))*-1 - sqrt(4860))\/(-3*sqrt(48)*3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-6)\/r*r**(-6)*((r*r**(2\/9))\/r)\/(((r\/r**(2\/3))\/r*r)\/r) assuming r is positive.\nAnswer: r**(-109\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 + -1 + -2 + 37. Suppose 0*g + 2 = g. Suppose -g*y = y - m. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(2\/3))**(-21)\/(x**(-2\/13)*x**6))\/(((x\/(x**2\/x))\/(x*x**(2\/9)))\/(x\/x**1)**(-23)) assuming x is positive.\nAnswer: x**(-2179\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q + q - 3*w - 35, 2*q - 5*w = 14. Let y(d) = -3*d**2 + 2*d - q + d**3 + 0*d - 5*d**2 + 6*d. Let s be y(7). Which is smaller: 0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22.47720661 - -10\nAnswer: -12.47720661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven tenths of a millennium in years?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8724 - 6026. Calculate the highest common factor of 38 and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -3, -2, 79 in descending order.\nAnswer: 79, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**4\/9 + 4*m**3\/3 + 10*m**2\/3 - 200*m\/9.\nAnswer: -2*m*(m - 5)**2*(m + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*b**2 + 272*b - 272*b + (-6*b + b - 13*b)*(1 - 1 - 2*b).\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2317, 9568, 21755, 38878, 60937?\nAnswer: 87932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2 + 6\/4)\/((-4)\/8). Which is bigger: y or -78?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3f09ef1 - 5?\nAnswer: 3f09eec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 718 - 742153536.\nAnswer: -742152818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 1634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 640 + 2588. List the prime factors of a.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115 = c - 24*c. Solve 4*k + c*v - 8 = 2*v, -18 = 2*k - 4*v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 6*d - 1708. Let w be l(-60). Which is the closest to -1?  (a) -3\/2  (b) w  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23892218 divided by -4073?\nAnswer: 5866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4.6 - -0.3. Let s = r - -2.7. Let t = -2.4 + s. Sort -5, t, 2\/29 in increasing order.\nAnswer: -5, t, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.6 - 0.3. Let m = -0.4 + 0.2. Let b = m - 0. Sort b, 0.4, j in descending order.\nAnswer: 0.4, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 229 a factor of 3742361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 35065 and 32505255?\nAnswer: 32505255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 611*z**4 - 9*z**3 - z**2 - 7732*z - 1 wrt z.\nAnswer: 7332*z**2 - 54*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*d**2 + 4*d**2 + 27*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1473 in -0.37, -0.2, -4\/11, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2108135139.\nAnswer: 3, 11, 19, 1499, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1341751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -358*d*v**2 - 1472*d*v + 2*d + 9621408*v**2 wrt d.\nAnswer: -358*v**2 - 1472*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.06 - 0.34. Let o = 2\/39 + 31\/156. Which is the nearest to o?  (a) 5  (b) 0.5  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/7 + 32\/14. Suppose -p*i = -i - 119. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*w**3 - 8*w**3 - 63 + 13*w**3 - 80.\nAnswer: 8*w**3 - 143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 216 - 145. Let a = -70.92 + d. Sort 5, a, 4 in ascending order.\nAnswer: a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 62 - ((42 - 20) + 25)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.69546 to one decimal place.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 277 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 - q - 1. Let w(b) = b**4 - 2*b**2 + 2*b - 5. Let c(x) = 2*a(x) + w(x). Differentiate c(h) wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from eeeeeeeeeses.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 28871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, 14, 28, 46?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**3 + 3885040*z**2 + 754641823505*z - 13584811605210.\nAnswer: 5*(z - 18)*(z + 388513)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-8)\/(-44))\/((-24)\/(-66)). Let 1\/2*s + 0 + y*s**2 = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 16124*x - 16121*x = -71, 32*v + 4*x + 148 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1048084, 2096168, 3144252, 4192336, 5240420?\nAnswer: 6288504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1709 divided by 169.\nAnswer: 1709\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 68  (b) 1\/5  (c) 3  (d) -139\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 5}. Give prob of sequence rr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 13434 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {c: 2, p: 1, f: 1, s: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**2 + x + 3. Let z(u) = 4*u**2 - 4*u - 10. Determine -7*j(d) - 2*z(d).\nAnswer: -d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 4948.942 nanoseconds?\nAnswer: 0.004948942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3*(-15)\/(-420)*-12. Suppose 3\/7 + 9\/7*g**2 + p*g + 3\/7*g**3 = 0. Calculate g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6301056 a multiple of 488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -162 + -366?\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 98688648 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1178, 5, 3\/4?\nAnswer: -1178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 471 = 6*p + 231. Let z(w) = 15*w**2 + w - 3. Let t be z(2). Let b = p + t. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a millimeter in micrometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-114)\/(-19))\/(16\/(-4)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 - -6) + 10 - (-7 + (5 - -1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 - 5*d**2 + d + 4. Let p be t(3). Let x = p + 27. Calculate the remainder when 63 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -t**3 - 2 - 9 + 606*t**2 + t - 663*t**2 to d + o*t**3 + p*t + q*t**2 and give q.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 341858757 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 0*f - 10. Let d be (2 - (-27)\/(-6))*f. Let h = -2 - d. Solve n - 2*n = -h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -526 - -532. Suppose -2*k + 4*z = 8*z + h, -3*k - 5 = 5*z. Let v(u) = u**3 - u**2 + 1. Let d be v(1). Sort d, k, 4, -4 in ascending order.\nAnswer: -4, d, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 2 j when four letters picked without replacement from {z: 2, u: 2, k: 4, r: 1, j: 3, c: 2}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7307.462 millilitres in litres?\nAnswer: 7.307462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11556 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 16*n**2. Let p(v) = -2*v**2 + 4*v + 1. Let g(m) = -m**2 - 4*m + 4. Let k(t) = g(t) + p(t). Give l(k(r)).\nAnswer: 144*r**4 - 480*r**2 + 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1166a4 (base 15) to base 14.\nAnswer: -179190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 + (2 - 31) - ((1 - 2) + 14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18)\/(sqrt(6) + sqrt(12)\/(sqrt(2)*-2)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*p - p + p)*(-51 + 97*p - 29*p - 64*p) to the form t + m*p**2 + a*p and give a.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*y - 22 - 26. Let q be 18 + 6\/y*-2 + 3. Solve 2*t = 4*o + 3*t - 12, 5*t - q = -2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.9 and -278?\nAnswer: -250.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (-61)\/24 - 21*110\/55440?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 497.621g?\nAnswer: 497621000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 214409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-16)\/(-152) - (-1003604)\/133?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 72290 divided by -14458.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -0.022?\nAnswer: 6.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -25 and 48.\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 190 and -222036455968.3?\nAnswer: 222036456158.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l + 10. Let z be p(-8). Calculate the least common multiple of (12\/z)\/(2\/60) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 252262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*q**3 + 0*q**3 - 4*q**3 + (-2*q + 3 - 3)*(q**2 + q**2 - 5*q**2) - 5*q**3 - 9*q**3 + 13*q**3 as p*q**2 + t*q + d + j*q**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 76.1954197 + 14.\nAnswer: 90.1954197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72644339?\nAnswer: 83, 875233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*y = 77*y + 100. Let b be y + (3 + 2 + -3 - -3). Which is bigger: -6\/47 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v - 28*v = -27540. Calculate the greatest common factor of v and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-17)\/3)\/(7\/42). Let b be 8\/(-3 - 103\/v). Suppose 52 + b = 4*z. Is 23 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -2*z. Let y(f) be the second derivative of f**7\/252 - f**4\/12 + 7*f**3\/3 - 80*f. Let s(p) be the third derivative of y(p). Determine t(s(c)).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 - f**2 - 3*f + 2. Calculate the remainder when g(3) is divided by (1\/(-3))\/(159\/54 + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(833) + sqrt(833)*1)**2*-5*3 + ((sqrt(833) + sqrt(833) + -1 + sqrt(833) + 5)*-1)**2 + -5 + 5.\nAnswer: -42462 + 168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/104 <= 137900?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9216.98 kilometers to millimeters.\nAnswer: 9216980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -224*p**2 - 11*p**3 + 24*p**3 + 224*p**2 + 9*p**3 + 24*p**3.\nAnswer: 46*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -26*v**2 + 18*v + 2901. Let l(s) = 6*s**2 - 4*s - 725. Give 2*i(w) + 9*l(w).\nAnswer: 2*w**2 - 723","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2522 + 18324. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 52 = 4*p, 0 = 2*p - 5*p - 5*v + 44. Calculate the least common multiple of 2 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 547752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 21 - 16. Which is the nearest to -2\/5?  (a) u  (b) 1  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10471, -21598, -32733, -43876, -55027?\nAnswer: -66186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 16, -3, 0, -59, 3, -9 in decreasing order.\nAnswer: 16, 3, 0, -3, -9, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v**2 + 35 - 20 - v**2 - 15.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2461349 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-4320)\/(-70))\/24)\/(9\/(-168))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 632 (base 7) to base 11.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1*((-15)\/(-3) + 0). Let r be (99\/22 + -5)\/(1\/2). Suppose 3*b - 2*q = 18, 3 = 5*q + 18. Sort r, n, b.\nAnswer: n, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-156)\/(-18))\/((-2)\/(-51)). Suppose -3*f - 8 = -l. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 50 - 30. Let l = 81\/4 - h. What is the third biggest value in l, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 + 1. What is the second derivative of -4*h + 3*h + 2*h - 2*h**z wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the first derivative of 5*c**3\/6 + 10*c**2 + c - 16. Let a(i) be the first derivative of x(i). Is a(19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**37*r)\/(r**(-1\/6)*r))**(2\/9) assuming r is positive.\nAnswer: r**(-215\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 4112393 divided by -5\nAnswer: -4112393\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.38 + 0.33712. Round o to three dps.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 180*l + 496*l + 606436 = 27679560. What is the ten thousands digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 2*v. Let s(x) = 2*x**3 - 17*x**2 + 5*x + 7. Let j be s(9). Let l(d) = 64*d + 64*d - j*d. Determine l(q(i)).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 979268*3\nAnswer: 2937804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 845 * -2.215.\nAnswer: -1871.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -468*w**3 - 2*w**2 + 265*w?\nAnswer: -2808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - (7 + (81 + 3 - 4 - (-55 + 57))).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -47?  (a) -12  (b) -1\/3  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the second derivative of -f**3\/6 - 146*f. Let u(h) = -2 + 2 + 7*h. Calculate v(u(i)).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12419 = -416*o + 415*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/4*-1*0 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2151 is divided by 700?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22, 155, 504, 1171, 2258, 3867?\nAnswer: 6100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x - 309 + x**3 - 299 - 4*x**2 + 606. What is f(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 5*d + 10, -8*d = -2*m - 4*d + 4. Let f(p) = p**3 - p**2 - p + 1. Let j be f(m). Let c = -3 + j. Is 0 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 8*m + 6*m + 6 + 5*m - 25*m. Let a be d(-2). Solve -26 + a = -2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2, 0.063, -0.99 in increasing order.\nAnswer: -0.99, 0, 0.063, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-2*3*(-15)\/90).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, -6\/7, 0.09, 5 in ascending order.\nAnswer: -6\/7, 0.09, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 5*b - 4. Suppose 144 = -52*u + 48*u. Let k be (-2 + (-25)\/(-20))*4\/u. Which is greater: k or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 2190.55698s?\nAnswer: 0.02535366875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30299.\nAnswer: 41, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*u - 32 = 3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 123*i**2 + 23*i + 1. Let m(c) = 61*c**2 + 13*c + 1. Calculate 7*m(p) - 4*y(p).\nAnswer: -65*p**2 - p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 780*((-39)\/(-13) + (-5)\/2)?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 + 1 - 2 + 2*a + 2*a**3 + 0*a**2 - 2*a**2. Let u be q(1). Suppose -2*w = 4*c - 14, -2 = c - w - 4. Solve c*v - 6*v + 6 = u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 120 by 120.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.2 - 0.3. Let w = 2 - 1. Let c = -0.124 - 2.876. What is the nearest to -0.1 in b, c, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1344, -5311, -11922, -21177?\nAnswer: -33076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 42 - 443?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(2 + (sqrt(175) - 6*sqrt(175)*2 - sqrt(175)) + 0 + sqrt(175) + sqrt(175) + 1 + sqrt(175) + -4) + -3)**2.\nAnswer: -180*sqrt(7) + 56701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, f: 3, k: 1}. What is prob of picking 2 f and 1 k?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9.38869376 + -13.61130698. Let g = c - -23. What is g rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -748 + 750. Suppose -1\/8*c**m + 1\/8*c + 1\/4 = 0. What is c?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(126)*1 - sqrt(126))*-5)\/sqrt(2))\/((((sqrt(288) - (-2*sqrt(288) - sqrt(288))) + sqrt(288))\/sqrt(8))\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 36 - (-19 + (-1425)\/(-30)).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 + 7*i + 3. Let m be b(7). Suppose -3*y + 450 = m*t - 0*y, 4*t = 5*y + 555. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3\/2, -7\/20, 0, -2, 5, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 2 + 0)*(-3*j**2 + j**2 - 7*j**2) + 0*j**2 - j**2 + 2*j**2 to m*j**2 + l*j + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17779, 35551, 53323, 71095, 88867, 106639?\nAnswer: 124411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 2*p = 7, 2*p - 3 = -l - 6. Let k be -8 - (l\/(-1) - -1). What is the tens digit of (k\/(-12))\/((-1)\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 203\/(-174) - 212\/(-192)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7197170 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*d**3 + 8193*d + 105392.\nAnswer: -6*d**2 + 8193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from novnvvn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t, 1 z, and 1 e when four letters picked without replacement from {o: 1, z: 1, t: 2, e: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 2*t**3 - 3*t**2 + 2*t - 3. Let a be z(2). Suppose a*r - 126 + 46 = 0. What is the smallest common multiple of r and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 16*c**2 - 14*c - 27. Suppose 0 = -5*a + 15, 4*l + 3*a + 16 = -a. Let r be j(l). Suppose 5*p - r = 110. What are the prime factors of p?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -51*u**4 + 1821*u**3 - 353507*u**2 - 1?\nAnswer: -1224*u + 10926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 4*o - 3 - 9, 0 = -3*k + 3*o - 15. Let h be (-4)\/k*6 - -2. Suppose -112 = -6*b + h*b. What is the greatest common factor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -242867898 or 1\/4?\nAnswer: -242867898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 169.8 + -155. Let w = m + -14. Let c = 1.7 - w. Round c to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(6\/(-1))*(-3)\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18156.\nAnswer: 2, 3, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -9*p*w**2 - 384156*p - 387*w**2 + 20*w wrt w?\nAnswer: -18*p*w - 774*w + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u**2 - 6507*u + 19494 = 0. Calculate u.\nAnswer: 3, 2166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -acc (base 15) in base 16?\nAnswer: -98a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert a24919 (base 11) to base 2.\nAnswer: 110010001111010010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -251*d - 6731. What is g(-27)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3749?\nAnswer: 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*n = 2*k + 26*n - 14, -k + 16 = 5*n. Suppose 11*y - j - 21 = k*y, 2*y - 30 = -5*j. Solve y*p - 2*t = -0*t, t = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 168*f**2 - 5037*f - 5227. Give h(31).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 2 + 8 = 0. Suppose 0*v + s*v = 162. Let h be 6*((-94)\/(-20) - 5)*-5. What is the highest common factor of h and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*n - 31*n + 36 = 0. Let a be n - 11 - 1\/(-1). Sort -5, a, -7, -1 in descending order.\nAnswer: a, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 828 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.3 + -1.3. Let j = q - -0.6. Which is the closest to -0.1?  (a) j  (b) -0.4  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + -15. Let n = 10 + d. Which is the second biggest value?  (a) 0  (b) n  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.1294927306 and -3.\nAnswer: -2.8705072694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h\/(h*h\/h**(-1))))**6*h**(-7)*h*h**(-1\/4) assuming h is positive.\nAnswer: h**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27*u**2 - 27*u**2 - 10*u**3 + (7*u**2 - 2*u**2 - 3*u**2)*(-960 + 960 + 34*u) to the form f + r*u + z*u**3 + d*u**2 and give z.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1131685 times 5\nAnswer: -5658425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 105.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -2*r**3 - 15*r**2 + 101*r + 371. What is g(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -4\/3  (b) 0.4  (c) 0.2  (d) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1800 a factor of 408893582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**2 - 36*z + 972. Let s be g(16). Solve 0 = -27*c + 7*c + s for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-9\/8)\/(n*n**12))\/(n**5*n*n*n)**(-12) assuming n is positive.\nAnswer: n**(655\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 13*y - 93. Let g be m(10). Suppose -h + 393 = 4*r + 104, -r + 70 = h. Let b = r - g. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 485103445 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 706848 = 141*j - 314556. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 0*m**2 - 2 - 5*m**2 + 5 to the form q*m**2 + w*m + z and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**2 - 13*u - 5660. Give g(82).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2266*v + 3*u = -2264*v - 14, -25 = -5*v + 5*u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 69121889 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 next in -651, -617, -525, -345, -47, 399, 1023?\nAnswer: 1855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 2*d**2. Let k(j) = -2. Let m(s) = -2*s - 560. Let g(f) = 4*k(f) + m(f). What is g(q(p))?\nAnswer: -4*p**2 - 568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 - -46465?\nAnswer: 46466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 49 - 46. Let a = 139 - 52. What is the common denominator of -139\/6 and b + (-3)\/(63\/a)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 56\/159 and -1\/162.\nAnswer: 8586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.502208kg to nanograms.\nAnswer: 8502208000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 106\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 212427258 by 2.\nAnswer: 106213629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 3151120 divided by 340\nAnswer: 9268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 965*i + 27571 + 13910 = -438*i - 13236 for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than or equal to 157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the second derivative of -d**4\/12 - 3*d**2\/2 - 3*d. Let s(k) be the first derivative of b(k). Let y(z) = 2*z. Calculate y(s(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2219037 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -7*y + 106*y**2 - 210*y**2 - 2 + 107*y**2. Give a(5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-6)\/(-5)*(-4 + 9) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 90*m - 117. Does 3 divide b(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 474 = 28*s - 58. Suppose 3*a + 64000 = s*a. What is a rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p + p - 2*p)*(5*p**3 + 0*p**3 - 3*p**3) + (-5*p + 2*p + 2*p)*(-2*p**3 - 23*p**3 + 6*p**3).\nAnswer: 25*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2 + 1160*z - 168200.\nAnswer: -2*(z - 290)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1360 and 4165.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3\/9)\/(2\/12). Solve -5*s**5 - 20*s**4 - 9*s**3 + 20*s**3 + 20*s + 20*s**f - 26*s**3 = 0 for s.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (11\/429*-57)\/(13\/(-507))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2\/31 + 37\/93. Let a = 0.25 - 0.18. Let w = -0.23 - a. Sort j, 1\/6, w.\nAnswer: w, 1\/6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 818249621?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**3 + 10*i**2 - 3*i - 25. Let d be g(-10). Which is the second smallest value?  (a) d  (b) -3  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 2  (b) 0.5  (c) -116680  (d) -1\/7  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes after 10:12 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 18*h - 2. Let p(o) = -36*o + 4. What is 5*d(a) + 3*p(a)?\nAnswer: -18*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - -4)\/(4\/4). Suppose 0*x - o*v + 32 = 2*x, -10 = -5*v. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13 - -26. What is the remainder when 50 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 43*q**4 - q**2 + 3*q**2 - 2*q**3 + 3*q - 82*q**4 + 42*q**4 to the form x*q**3 + s*q**4 + d*q**2 + a*q + t and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1826707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 690773 to the power of 1\/2, to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47448449 - 94896936 + 47448487 - 3*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -6*i + 47. What is u(0)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -420*f**2*r - 110*f**2 - 2*f*r - 15*f - 140698440*r wrt f.\nAnswer: -840*f*r - 220*f - 2*r - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 2  (b) 0  (c) 4\/3  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 4856, 4860, 4862, 4862, 4860?\n\"Answer: -m**2 + 7*m + 4850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + 161.4.\nAnswer: 167.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 461 divided by 3141?\nAnswer: 461\/3141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -29 + 46. Let n = 27 - z. Let x = 10.0000064 - n. Round x to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 - (46\/4 - -1)*32\/(-40). Calculate the greatest common divisor of 435 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*q - 10*q + 5*q + 7*q + 60.\nAnswer: -3*q + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -46786025 by 55.\nAnswer: -850655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 3, -214 in descending order.\nAnswer: 9, 3, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 91356 and 3332508?\nAnswer: 76647684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 343 and 2249?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(11) - sqrt(55)\/sqrt(5)) + -4 + sqrt(396) + 5*(sqrt(1331) + -2 + -4)**2.\nAnswer: -654*sqrt(11) + 6828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 151*n**3 + n**2 - n - 11. Suppose 8 = -p - 2*a + 3*a, -4*p - a - 37 = 0. Let t be d(p). What is t rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37961759281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7277.\nAnswer: 19, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -30924479.9 rounded to the nearest 10000?\nAnswer: -30920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**1)**44*(z**30\/z*z)\/z*z*z**(-37)\/z*z*z assuming z is positive.\nAnswer: z**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*p + t - 352, -41385*t + 41390*t - 56 = p for p.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1 + -1)*-1 - 0) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15 + -32. Let k = -6 - r. Let t = -4 + k. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10 and 14230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from ibtiipai.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -8*n, -3*y = -2*n - 405. What is the greatest common divisor of y and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 - -207. Suppose -3*r = -8*r + x. What is the highest common divisor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 27, -23, -157, -417, -845?\n\"Answer: -7*c**3 - c + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -7*s**2 - 40*s + 88. Let g(r) = r**2 + 7*r - 2. Calculate -6*g(q) - x(q).\nAnswer: q**2 - 2*q - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -3.608 * -0.07\nAnswer: 0.25256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 10*a - 1. Let v(r) = 40*r - 5. Determine 15*b(u) - 4*v(u).\nAnswer: -10*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 136*m**2 - 67.\nAnswer: 272*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pyrrrwwry. Give prob of picking 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -29 in 4\/3, -0.3, -3247?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/3 - 1)*54\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3351.34 - 32614.\nAnswer: -35965.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1553, -1548, -1543, -1538?\nAnswer: -1533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hjj when three letters picked without replacement from bhishhjbjhbhbhibhhi.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -10*v**3 - 4*v**2 + v - 4. Let m(q) = -9*q**3 - 3*q**2 + q - 3. Let f(b) = -3*k(b) + 4*m(b). Find the second derivative of f(z) wrt z.\nAnswer: -36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5691 and 42731822.\nAnswer: 1897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 39 - 63 = 0. Suppose 11 - 17 = q*u. Let g(y) = -23*y. Determine g(u).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3884043943.\nAnswer: 13, 298772611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a + 19. Let q be ((-150)\/12*24\/(-15))\/2. Let k be b(q). What is the units digit of (k\/4)\/(9\/(-48)*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 297 is divided by 99.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 903*y - 39 = 901*y + 5 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16585 (base 11) to base 7.\nAnswer: -125001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (-12 - 32) + 10\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, 11, -1605, -0.4, 2\/13, -4\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7061 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 24863 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14478 divided by 4826.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -1023*k**3 - 30*k**2 - 24*k - 4. What are the prime factors of r(-2)?\nAnswer: 2, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*p = 106*p + 184. Which is greater: p or 2014?\nAnswer: 2014","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1080908 less than -1625?\nAnswer: -1082533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24 - (1 - -10)) + 19.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34126 - b + 8525 + 8509 + 8527 + 8565.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5631446*s**3 + 20504816*s**2.\nAnswer: -33788676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5*(-10)\/(-13) + 12\/78. Suppose 4*p + 203 = -p + 3*c, -c - r = 0. Which is smaller: -1\/2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 727 - 336. What is the highest common divisor of z and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 255 and 567885.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -106 + 105. What is the biggest value in -2\/3, g, -5, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*d**2 - 199*d + d - 42*d.\nAnswer: 4*d**2 - 240*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3171, 3174, 3177, 3180, 3183, 3186?\nAnswer: 3189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3029 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16960 and 257368.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 4*f - 350. Let q(z) = 21*z - 1749. Calculate 11*i(t) - 2*q(t).\nAnswer: 2*t - 352","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 58.9971 + -59. Round d to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 80\/(-8)*(-12)\/(-72)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 4*s**2 + 1 - s**2 - 2*s**2 + 4*s. Let t(w) = -9*w + 4. Let q be t(1). What is h(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 23 = -5*o, 8 = -3*o - 4. Let p = -262 + 282. Let g be p\/(-18) + 1 + (-320)\/6840. Which is bigger: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*g**2 + 75*g + 280.\nAnswer: 5*(g + 7)*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 10, q: 10}. Give prob of sequence ee.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 27680.2 nanograms in milligrams?\nAnswer: 0.0276802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 13*n**2 - 2*n - 2. Let z be s(4). Let g be 887\/(-9) + (-72)\/162. Let j = 117 + g. What is the highest common factor of j and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 12 + 12. Let m = c + -5. Let u = -2 + m. Which is smaller: u or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**3 + 5. Let j be m(0). Suppose -2*h = -j*f - h + 1065, 2*h = f - 222. Suppose -f = -p - p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*f*g*w**2 + 8*f*w**5 - f*w**2 - g*w**6 - 2*g*w**3 + 10*g*w wrt w?\nAnswer: 480*f*w**2 - 120*g*w**3 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 238.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*k)*(-76*k**2 - 90*k**2 - 81*k**2)*(-19*k**2 + 3*k**2 + k**2).\nAnswer: -7410*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 25 + -74. Let q = h - 9. Does 37 divide (q\/4)\/((-19)\/114)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times -46.939?\nAnswer: -234.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.011 + -0.659. Let k = h + 0.67. Sort k, -13, -2\/7 in decreasing order.\nAnswer: k, -2\/7, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2b110 (base 16) in base 11?\nAnswer: 110594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5759, 14 in decreasing order.\nAnswer: 14, -2, -5759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -12*x - 352. What is c(-27)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 17170985*z**4 - 4*z**3 - 7339*z**2 - 3256 wrt z?\nAnswer: 412103640*z - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1973 + 2163. What is the remainder when j is divided by 50?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.01 - -41.01. Let x = m - 23. Let u = -18.5 + x. Which is the nearest to 1?  (a) u  (b) 1\/3  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125 = -4*x + f, -2*x - 5*f + 95 = 2*x. Let b be 10 + (-1584)\/154 + (-634)\/(-14). What is the greatest common divisor of x and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -14495*g - 1478484. What is x(-102)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide ((-196825)\/(-20) - (5 - -2)) + 2\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1078100\/(-30))\/(-10)*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0215 and 2?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 6 = -2*c. Suppose 1 = 2*k + 3*p - 2*p, -c*p = 5*k - 1. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -861080381875 minus -2.61?\nAnswer: -861080381872.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y = -4*l - 12, -4*l - 8*y = -6*y + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**3 + 9*v**2 + 5. Let w be p(9). Suppose -w*j = -j - 1640. Suppose -a + 6*a = j. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 4*c + 2. Let h(i) = 8*i + 4. Let j be (29 + 1)\/(-5) + 16. Let b be -4 + (1 - -1) + (j - -1). Determine b*x(k) - 4*h(k).\nAnswer: 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 542 - -3?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2479 - 59*t**3 + 2479 + 27*t**2 + 14*t**3 - 27*t**2 + (7*t**3 - t**3 - 4*t**3)*(0 + 2 + 0).\nAnswer: -41*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 0 - 4 - 5 + 4 + 20*l. Let i(c) = -7*c + 2. Let k(h) = 6*d(h) + 17*i(h). What are the prime factors of k(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/342 and -47\/456?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3599538*b**6 - 3*b**4*z + 75*b**2*z + b**2 + 5*b - 327*z wrt b.\nAnswer: -431944560*b**3 - 72*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4715\/88651 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/8 and 37\/1411?\nAnswer: 11288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11845 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x - 9. Determine p(-12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 184431 smaller than 922149\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.066 and 1098.\nAnswer: 1098.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/(-308) + 110\/(-56)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 2*g**2 - 9*g + 3. Let w(j) = 3*j**2 - 14*j + 5. Let a(l) = 8*n(l) - 5*w(l). What is a(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*o + 18 = -9*o. Suppose m - 1 = 2*n, -2*n - 3 = -5*m + o. Solve -2*f - 7 - 9 = -3*c, -c - 8 = n*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 2*q + 108 = 0, -4*w + 88 = -2*q - 56. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 5 = 2*r. Let b be 27*(-1)\/r*-8. Suppose -42 = -z - 4*z - 4*j, 0 = 2*z + j - 15. What is the highest common factor of z and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 423571 divided by -6\nAnswer: -423571\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(-1 - 2) + (-24)\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -77248 < -77254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2\/3)\/(8\/(-36)). Let p = 9 + b. Suppose -5*t + 1 = d - 98, -2 = 2*d. What is the lowest common multiple of p and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 3*i + 1 = 4, 4*v - 3*i = 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 102, 5.\nAnswer: 3, 5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the third derivative of i**11\/1496880 - i**9\/136080 + i**7\/22680 + 17*i**5\/30 + 22*i**2. Let x(n) be the third derivative of o(n). Factor x(k).\nAnswer: 2*k*(k - 1)**2*(k + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1220405257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 13, 2, -1 in increasing order.\nAnswer: -1, 2, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1037221 - -10?\nAnswer: -1037211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -16, -68, -150, -256, -380, -516, -658?\n\"Answer: c**3 - 21*c**2 + 4*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 minus 0.074457?\nAnswer: -0.274457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 4, r: 6, d: 2}. Give prob of sequence nd.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -585186, -1170370, -1755556, -2340744, -2925934, -3511126?\nAnswer: -4096320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of z**4\/8 - z**3 - 9*z**2. Let w be o(5). Factor -5*u**3 - w*u**2 + 6*u**4 + 13*u**4 - 4*u**4 - u**2.\nAnswer: 5*u**2*(u - 1)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 10:00 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23408*r**3*v**4 - 2*r**3 + 643*r**2 + 4*r*v**2 wrt v?\nAnswer: 561792*r**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 5*d**2 + 5*d. Let c(m) = -5*m**2 - 6*m. Let f(a) = -5*c(a) - 6*r(a). Determine f(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 78642 divided by -9\nAnswer: -8738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/(-9) - (-34)\/6. Let c(a) be the second derivative of -a**5\/20 + a**4\/2 + a**3\/6 - a**2 + 152*a. Calculate c(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + 974?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the first derivative of 11*u**7\/420 + 13*u**4\/8 + 23*u**3\/3 - 33. Let l(d) be the third derivative of n(d). Find the first derivative of l(r) wrt r.\nAnswer: 66*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -17, 3, -1002097, 4 in ascending order.\nAnswer: -1002097, -17, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*d + 17*d = -4*d. Let c(l) be the third derivative of 0*l**3 + 0*l + d + 4*l**2 - 1\/28*l**4 + 2\/105*l**5. Solve c(a) = 0.\nAnswer: 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -130.9 * -46299.\nAnswer: 6060539.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 663*r - 175*r - 11970 = -82*r for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 3*m**3 - 5)*(0 + 1 - 2)*(5*m - 1 + 2 - 3*m)*(157 + 19*m - 157).\nAnswer: -114*m**5 - 57*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 325*h**2 + 6*h - 2. Let g(d) = -2*d. Determine g(p(u)).\nAnswer: -650*u**2 - 12*u + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2650 and 65455?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.23889 - 4.23889. Let a = -0.03 + -0.03. What is the third biggest value in d, -5, a, 1\/10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 37895*t + 371586.\nAnswer: 37895","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (651\/(-558))\/(1\/12).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4\/10363 or -16\/5?\nAnswer: 4\/10363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3434*s**2*z**3 + 5*s**2*z - 4*s*z**2 - s + 29*z**6 - 5629*z**2 wrt z?\nAnswer: -20604*s**2 + 3480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9765 + -9761. Solve 2*t - 30 + 27 = z, -3*t + 7 = -h*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 637095 or 637022?\nAnswer: 637095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 + -3.6. Which is the nearest to 0?  (a) v  (b) -0.3  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the third derivative of t**5\/4 - 1152*t**2 - 2*t. Let c(l) = -6*l**2. Let f(x) = 6*x**2. Let s(v) = -5*c(v) - 4*f(v). Calculate j(s(h)).\nAnswer: 540*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 10, t: 1, m: 2, s: 3}. Give prob of picking 3 s and 1 t.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7908 (base 12) to base 14.\nAnswer: -4c52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 6\/13  (b) 0.2  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1428 - -0.0178?\nAnswer: -1427.9822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 198960.\nAnswer: 2, 3, 5, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of 107*r**5\/30 + 21*r**4\/8 + r**3\/2 + 389*r**2. Find the second derivative of b(h) wrt h.\nAnswer: 428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 89, -2, -32 in increasing order.\nAnswer: -32, -4, -2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8.77 or -2?\nAnswer: 8.77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 76655291 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -628*w**2 + 382*w**2 + 243*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -39 - -64. Suppose 4*d + 4*p - 23 = n, 0 = 4*d - 5*p - 30. Suppose 0 = -5*h + 3 + 22. Calculate the highest common divisor of h and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 93*f - 88*f - 55. Suppose 5*p - 28 = p. What is the remainder when f is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - -1 - (-19 - -15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (((-2*sqrt(416) - sqrt(416)) + sqrt(416))\/sqrt(8) + (sqrt(52) - sqrt(312)\/sqrt(6)) + 4)**2 + 4.\nAnswer: -32*sqrt(13) + 230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 0, 382, -113, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -41\/3 - -13. Which is bigger: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 277 and 7761263.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10099 by -3.\nAnswer: 10099\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(-2\/3)*m*m**(21\/2))\/(m**(1\/5))**(1\/36))**39 assuming m is positive.\nAnswer: m**(27677\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1691, 6072, 13151, 22928, 35403, 50576, 68447?\n\"Answer: 1349*s**2 + 334*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 968272?\nAnswer: 2, 73, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 3 = 5*w - 2, o = -2*w + 8. Let h(m) = -2*m**3 + 3*m**2 - m + 5. Let j(k) = -3*k**3 + 5*k**2 - k + 9. Determine o*j(f) - 10*h(f).\nAnswer: 2*f**3 + 4*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 11 = -3*x, 5*a - 4*x - 15 = -3*x. Suppose 0 = -r - 4*r + a*d + 42, 0 = -3*r + d + 21. Solve -3*b + r*b = 15, -4 = -2*h - 2*b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 - 8*x**2 - 7*x + 3. Let b = 16 + -23. Let o be q(b). Suppose -p - 563 = -4*p + 2*s, -o*p + 588 = 3*s. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/24 and -77\/21918440.\nAnswer: 65755320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes after 5:54 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + -8071?\nAnswer: -8075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*u + u + u + (9*u + 16 - 16)*(-4 + 3 + 0).\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 13  (b) 40320\/11  (c) 3  (d) 0  (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the third derivative of -5*p**4\/24 - p**3 - 51*p**2 + 4*p - 3. Let u(s) = 9*s + 11. Suppose -t = -3*t + 8. Determine t*u(x) + 7*w(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -11536*w. Let x(v) = -6556*v**2. Calculate x(i(z)).\nAnswer: -872467864576*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -35, -66, -117, -188, -279, -390?\n\"Answer: -10*f**2 - f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(768)*2 - sqrt(768))\/(1*sqrt(196) - sqrt(4)) + (sqrt(75) - 6*(sqrt(75) + -2*sqrt(75) + sqrt(75)))**2*4.\nAnswer: 4*sqrt(3)\/3 + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 + 2*y)*(-6*y + 4*y - y)*(40 - 66 + 43)*(-3*y + 0*y + 2*y) to the form l*y + u*y**3 + q*y**2 + o and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -3131*r - 624. What are the prime factors of f(-9)?\nAnswer: 3, 5, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 19930733 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**3 + t + 1. Let s be r(-2). Suppose 2*w + 4*g + 16 = 0, -2*w - 3 - 6 = -3*g. Let c be (68\/(-6))\/(w\/s). Is c <= -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -4*t - 11. Let y be (-6)\/54*-9 + 1. Let u be (-25)\/10*(y - 10)\/(-4). What is o(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 1509*z**2 - 38*z + 17. What is the tens digit of x(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1050 - -1058. Let i(x) = 6*x**2 + 2*x - 8. Let v(d) = -d**2. Let m(h) = 10*h**2 + h - 5. Let z(c) = -m(c) - 6*v(c). What is g*z(l) + 5*i(l)?\nAnswer: -2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/311508 and -41\/1033668.\nAnswer: 526137012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k - 2*k + k)*(2 + 3 - 7)*(-484 - 446 + 116).\nAnswer: -3256*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g*g*g\/(g\/(g\/g**(-3)))*g)*g*g**(-2\/17))**(-41) assuming g is positive.\nAnswer: g**(4264\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 249*u + 569. Let g be z(-2). What is the third biggest value in 1\/9, 2, g, -0.5, -6?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/19*1900\/(-50). Suppose -l = 3*d - 5*l - 902, 5*d - 3*l - 1518 = 0. Let f be 9\/d*t*-1. Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000315473 rounded to 7 decimal places?\nAnswer: 0.0000315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*s - 16*s = -5*r + 18*s + 17*s + 54, -3*r + 1338 = -78*s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -8303, -35155, -79919, -142595?\n\"Answer: -8956*x**2 + 16*x + 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the second derivative of 17*t**3\/3 - 28*t**2 + 54*t - 1. What is the derivative of y(l) wrt l?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3927 and 408?\nAnswer: 31416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**3 - 3*x**2 + 4. Let p = 14 - 17. Let m be o(p). What is the greatest common divisor of m and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, b: 1, r: 2, u: 3, c: 5}. What is prob of sequence lbul?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 0.6372009s?\nAnswer: 0.00017700025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5756488 is divided by 1670.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2032 + 1189*s + 2032.\nAnswer: 1189*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53*9.\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 8 = -0. Suppose -4*l = o*v - 2, -5*v - l = 2*l - 5. Let a = -3\/13 - 4\/39. Which is smaller: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3\/355 - 7594\/355. Let w = 21 + k. Is 2 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 32*f - 29*f - 27. Suppose f*h - 134 - 1 = 0. Solve c = -2*c + h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -65128 (base 10) to base 8.\nAnswer: -177150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*p**2 + 2*p**4 + 3*p**2 - 26*p**3 + 14*p**3 + 14*p**3 - 8 as q*p**3 + j*p**4 + d*p**2 + g + f*p and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes before 9:45 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 726*f + 11. Let o be h(1). Let y = o + 904. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 divided by 4?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 2*r + 1. Suppose 7*x = -4*x - 33. Let a be k(x). Are -21 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1069329 to the power of 1\/2, to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minus -0.1?\nAnswer: 51.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/1100 and 43\/2410?\nAnswer: 265100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 102803, 180365, 257925, 335483?\nAnswer: 413039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -669 + 664 + 5*t**3 + 6*t - 3*t + 2*t**2. Let h be m(1). Let x = 130 + -75. What is the highest common factor of x and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 (base 11) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 273 and 4912453.\nAnswer: 14737359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (40\/4*3\/3)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:24 PM and 3:20 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11.06 - 9.1. Let s = 19.36 - b. Round s to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 155 - 153. Solve 0*p - 45 = 5*l + 4*p, -m*l - 4*p - 30 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2235178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-2\/7)*f)**(-4\/5)\/(f\/(f\/((f**(-2\/7)\/f)\/f))*f\/(f**6*f)))\/((f**(-1\/3)*f)**(-25\/4)\/((f\/f**(-1\/2))\/f**(-6))) assuming f is positive.\nAnswer: f**(1951\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -4*p + 50. Suppose 44*o = -94*o + 2346. Give a(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(40)\/sqrt(36))\/sqrt(5) + -5.\nAnswer: -5 + sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -174040\/79 - -2203. Let x = -3788654575\/316 + 11989424. Let z = u + x. What is the common denominator of z and -13\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1460)\/4088)\/((-5)\/(-3)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2012000100 (base 3) to base 8.\nAnswer: 124014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -18057836*m**2 + 24*m + 73015.\nAnswer: -36115672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -25 + 48. Differentiate -2*z + 20*z**2 + 18 + 12 - c*z**2 wrt z.\nAnswer: -6*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2308437\/7 < -329778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/(-4)*60\/18. Suppose 10 = -5*t - x. What is the smallest common multiple of 24 and 3\/((-5)\/(20\/t))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 33*t**6 + t**2 wrt t?\nAnswer: 3960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -426 + 845. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 12 = -4*i, -3 = -i - 0*i + 5*b. Let z(j) be the third derivative of 5*j**2 + 0*j**4 + 0*j**5 - 1\/480*j**6 + 0 + 0*j + 0*j**i. Factor z(r).\nAnswer: -r**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1359 - 1342. Let y = 11.6 - -0.4. Let f = y - i. Which is the closest to -1\/2?  (a) 0  (b) -1\/3  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000042169648 to 7 dps.\nAnswer: 0.0000422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2111301 (base 4) in base 10?\nAnswer: 9585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + 4. Let z(r) = r**2 + r. Let p(l) = 0*l**2 - 2*l**2 - 3*l**2 - 6*l + 1. Let x(j) = y*p(j) + 6*z(j). Calculate x(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/t**(-6)*(t**14\/t)\/t*(t*t**(-16))\/(t*t\/(t**(3\/11)\/t)) assuming t is positive.\nAnswer: t**(14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -1 - (9 - 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 6263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 15*x + 1. Let i = -3238 + 3232. Let n(h) = 7*h. Determine i*v(w) + 13*n(w).\nAnswer: w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-1))**(-2\/3)*t**3*t**(-5)*((t\/t**(-6)*t)\/t*t)\/t**(-8)*(t**(1\/4)*t*t)\/t**(-4\/3) assuming t is positive.\nAnswer: t**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 234 a factor of 414496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u. Let c(z) = 9*z. Let o(s) = 6*c(s) + 42*h(s). Let t(x) be the second derivative of x**4\/6 + 2*x. Calculate t(o(i)).\nAnswer: 288*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*f*r**2 + 381*f - 32*r**4 + 2*r wrt r.\nAnswer: -4*f*r - 128*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -129 + 199. Let q be (26\/(-10) + (5 - 2))\/((-12)\/(-2700)). Calculate the greatest common divisor of q and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 + 6*w**2 - 4*w + 1. Let m be d(5). Suppose 0 = 6*k - 3*k + m. Which is smaller: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 993266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 810771 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22446 + 28228. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.693 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -15 - 6. Let j be (2 - 2)\/(4 + -2 + -1). Does 13 divide r*(j + 10\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7683 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -92 times -0.3?\nAnswer: 27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 655*l - 320*l - l**2 - 5*l**4 - 323*l - 54*l**3 to t*l**2 + j + r*l + g*l**4 + x*l**3 and give x.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + (12 + 6 + -19 - 3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 489.4 - 267.4. Sort k, -0.2, -1.\nAnswer: -1, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56027 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 236*p - 29*p - 1035 = 0. Let n = -49.5 - -9.5. Which is the nearest to -0.2?  (a) n  (b) -0.1  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1375 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -742 - 4?\nAnswer: -746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 206 = -4*z + 98, -5*l + 295 = 4*z. Suppose 4*r + 162 = 4*b - 162, z = -r + 3*b. Let f = -54 - r. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3\/4 + 21896*b**2 + 12421805*b\/4 + 220397561\/2.\nAnswer: (b + 71)**2*(b + 87442)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -9 - ((-50)\/25 + 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 59007294 and 8076.\nAnswer: 4038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 234766479.\nAnswer: 3, 6469, 12097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -57*m**4 + 3*m**2 + 151. Let r(f) = 114*f**4 - 5*f**2 - f - 302. Let o(l) = 5*i(l) + 3*r(l). Differentiate o(u) with respect to u.\nAnswer: 228*u**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n**2 - 4*n**2 + 4*n**2)*(-71 + 682*n**3 - 684*n**3 - 84).\nAnswer: -2*n**5 - 155*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 1)*(0*a + a - 2*a)*(2*a + 0*a + a).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the second derivative of -41*u**3\/6 + 7*u**2 - 35*u. Let p be y(-9). Let b = p + -223. What is the smallest common multiple of b and 16?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-54)\/5 + 1\/(-5). Let j be 4\/22 - 977\/x. Suppose -2*h + h = -j. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 g, and 1 t when three letters picked without replacement from trtdtrywgryr?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 2*c**2. Let n(m) be the second derivative of m**6\/360 - m**3\/6 + m. Let t(b) be the second derivative of n(b). Determine t(w(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8636 by -254.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 3 - 4)*(1 - 2 + 0)*((-5*r + 3*r + r)*(-2 - 2 + 5) + r - 5*r + 2*r) in the form i*r + j and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1514743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 3*r**2\/2 - 129*r - 261\/2 = 0.\nAnswer: -1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3173994 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes after 10:19 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.553 rounded to 0 decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -10\/147 and 137\/99690.\nAnswer: 4884810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -y**2 - 361890*y + 2171376 = 0.\nAnswer: -361896, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -121392, -3, 2, -112 in decreasing order.\nAnswer: 2, -3, -112, -121392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.04 + -0.34. Suppose -2*r + j - 159 + 398 = 0, 5*r = 2*j + 598. Let z = 115 - r. What is the closest to 3 in z, l, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**2 + 12*b + 8. Let w = -8 - -11. Let t be (-1)\/w + (-190)\/(-30). List the prime factors of n(t).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2.044 and -200724.\nAnswer: -410279.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*m + 2*m + 3*m)*(51*m - 42*m - 34*m).\nAnswer: 50*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 76\/399 + (-3860)\/420?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**3 + 7*j**2 + 7*j + 1. Let r be k(-5). What is the greatest common factor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 5*t + 45. Let z be 3 - t\/(-4) - -3. Suppose 2*m - m + 4*q = 66, -z*m = 2*q - 158. 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: Solve -44*c = -52*c + 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes before 11:11 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -320 in 2, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 97718039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1257 + 1262.57. Let n = k + -5.57. What is the second biggest value in n, 3, -58?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 3*r + 2. Suppose -a - 2 = 4*u - 4, 1 = -a - u. What is l(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (133*j - 65*j + 145*j)*(-2*j + 2*j - 6*j) to the form n + u*j**2 + k*j and give u.\nAnswer: -1278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 2 n, and 1 o when four letters picked without replacement from nnnjjenntjngonneg.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 24\/10 + (-6)\/(-10). Suppose -3*y + 8*y + f = 90, r*y - 46 = f. Calculate the highest common factor of y and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 plus 24.282?\nAnswer: 24.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes before 4:12 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, a: 3, g: 2, e: 6, i: 4}. What is prob of sequence ava?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 835675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 33201002 (base 6) to base 10\nAnswer: 995546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3, -0.143132, -2\/7, 7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 153153 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 22.7 * 2.7587\nAnswer: 62.62249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 2*z + 5 = 0. Solve -6 - z = 3*q + 4*s, -4 = 4*s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 26 = -x - 4*w, -w + 12 = x. Solve -b = -4, 0 = 5*q + 2*b - x - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 15, 106, 335, 768, 1471, 2510?\n\"Answer: 11*k**3 + 3*k**2 + 5*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 6*m**2 + 3*m + 1. Let c(d) = -5*d - 300. Give a(c(w)).\nAnswer: 150*w**2 + 17985*w + 539101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 - 8*v + 5. Let d(m) = -m**3 - 3*m**2 + 5*m + 5. Let y be d(-4). Let k be (-7)\/y + 2\/(-2). Let n be x(k). Solve n*f = -4 - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 158 - 37 = 5*b, -2*d + 78 = 4*b. Suppose 0 = 2*p + p + 3, p + 64 = 3*m. Let h = d - m. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -129.3475 * -0.4\nAnswer: 51.739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1.142298 + 481.8663\nAnswer: 483.008598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 divided by -5858197.\nAnswer: 17\/5858197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 8) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -200, -792, -1770, -3128, -4860?\n\"Answer: t**3 - 199*t**2 - 2*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 1794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2490)\/(-1494))\/(((-2)\/20)\/(12\/8)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 996\/7 - 142. Which is the closest to 1?  (a) w  (b) 0.4  (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 69381409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s + 1. Let h(v) = 3*v + 3. Determine -h(i) + 2*j(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 291135511 to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 2*k = -2*k - 24, 16 = b - 3*k. Suppose b*l = z + 20, 3*l - 3*z - 15 = -7*z. What are the prime factors of 14\/(-7)*(-346)\/20*l?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s = 4*z - 148, 762*s = 758*s + 5*z + 270 for s.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6614.\nAnswer: 2, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/16 and 59\/1150.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*p = 7574 - 7750 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10 in -0.007, 0.13, -2\/5, -4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -34 - -24. Let m = -6 - p. Let u = 109.2 - 108.7. What is the third biggest value in -3\/4, m, u?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 23 = -3*h, 4*v = -0*h + h - 21. Suppose -4*f - 21 = -5*i, -4*f + 9 = 2*i + 23. Let p = -2 - 0. Which is the nearest to p?  (a) i  (b) -0.2  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00233533218 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 3*x**2 + 60*x - 133. What is the tens digit of w(-31)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1355\/1128 - 17\/188. Calculate the common denominator of -69\/20 and h.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15753 is divided by 5226?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 + 8*j**2 - 6*j + 5. Let u be c(5). Suppose -5*o + 105 = -5*q - 175, -2*q - 164 = -3*o. Which is bigger: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 206405, 206513, 206621?\nAnswer: 206729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21208 and 2812711?\nAnswer: 2651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 439505 * 87.\nAnswer: 38236935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 - 64*p**2 - 506*p + 20153. What is r(67)?\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 540012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**6*b*b*b\/(b**(-31)*b*b) assuming b is positive.\nAnswer: b**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5a79a - 8a?\nAnswer: 5a710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 3, 10971, 5, -3, 2 in descending order.\nAnswer: 10971, 5, 4, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (1 - (4 - 4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 446598 (base 14) in base 11?\nAnswer: 1346a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 44 = -t, -28 = -2*x - 3*t + 5*t. What is the remainder when x is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2742 divide 561086943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.033 in 0.4, 5, -7, 8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.81 - -0.25. Let a = u - 0.14. Let d = a - -10.8. What is d rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -686694 times -335\nAnswer: 230042490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-22) - (-4600)\/(-110). Let m = j + 46. Suppose 2*p - 32 = -0*p. What is the remainder when p is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 92 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**3 - 18*j**2 - 46*j - 22. Give y(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence huh when three letters picked without replacement from {n: 8, h: 11, u: 1}.\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 204936.\nAnswer: 2, 3, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -20.34 to 0 decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 32 + -6. Let b be (40\/(-32))\/(2\/(-352)). Let j = b - 181. What is the highest common divisor of s and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6125*n**5 + 705075*n**4 - 23649520*n**3 + 184877900*n**2 - 20897760*n + 594880 = 0.\nAnswer: 2\/35, 11, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -3*j - 38 + 2*j - j. Suppose 19 = 4*y + 95. Let d be a(y). Solve d*g - 16 = -u - 4*g, -4*g = 5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 295, -1\/1000 in descending order.\nAnswer: 295, 0.2, -1\/1000","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12 and 86830986.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:20 AM and 10:25 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, t: 2, f: 1, d: 1, u: 2}. Give prob of sequence ft.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29 divided by 14.\nAnswer: -29\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the second derivative of -b**6\/3 - 7*b**4\/12 + 8*b. Find the third derivative of o(l) wrt l.\nAnswer: -240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5787161\/460 + -62908\/5. Calculate the common denominator of o and -131\/12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -145.1 - 37.9. Let q = 360.530252 - 543.530501. Let p = b - q. What is p rounded to 5 decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 157368425 by -5.\nAnswer: -31473685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**2 - 4*v + 5. Let p be g(7). Let z = -15594 - -15623. Solve 0 = 4*t + 3*l + p, -5*t - z = 5*l - 3*l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/3861 and 47\/4719?\nAnswer: 42471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 557 - 552. Let c be -4 + 17 + b + 9\/(-3). Solve 45 = 12*o - c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 35*t**3 + 4*t**2 - 818*t + 818*t wrt t?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 29114022*v**3 + 198507962*v wrt v?\nAnswer: 174684132*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3726 and 2898?\nAnswer: 26082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49 = -3*a - 5*x, 4 = -82*a + 86*a - x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 - 11*o**2 - 25*o - 9. Let w be n(13). Suppose -3*c = w*c - 1960. Calculate the greatest common factor of c and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5713 + -5353. What is the highest common divisor of q and 760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 43529360?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -63.9 + -15.1. Let w = 79.33 + g. Let v = w + 0.07. Put -3\/8, -1, v in increasing order.\nAnswer: -1, -3\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 192 and 2069472.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 322, -5, -27, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13126?\nAnswer: 2, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 12 + 5320?\nAnswer: 5332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -14, 1, -64\/9, 0.2 in descending order.\nAnswer: 1, 0.2, -1, -64\/9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:36 AM and 4:04 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14.17 + 12.4. Let m = k - -1.769753. Round m to 5 dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = -2*s + 2*u + 10, 4*s + u = 0. Solve m = 2 + s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.27 - -0.32. Let t = o - 0.15. Which is bigger: -1\/15 or t?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -27*j. Let o(n) = 61*n + 28. What is 2*f(b) + o(b)?\nAnswer: 7*b + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 4*n = -30. Let m be n - ((-2)\/4)\/((-2)\/8). Factor 2\/3*j**4 + 0*j + 2\/3*j**2 - 4\/3*j**m + 0.\nAnswer: 2*j**2*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/o**5)**(9\/10)\/(o*o\/((o*o*o**(-19)\/o)\/o)*o**(1\/8)) assuming o is positive.\nAnswer: o**(-953\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 339 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*h**2 - 32 + 7*h**2 + 52.\nAnswer: -7*h**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -371*l + 568. Let d(n) = -76*n + 114. Give -14*d(k) + 3*g(k).\nAnswer: -49*k + 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 4266 + -4180 - (2 - (1 - ((1 - -3) + -15)))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p = 2*r + 8 - 2, -5*p = 3*r - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/8?  (a) 3\/7  (b) 70  (c) 2\/17  (d) -1\/6  (e) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 - -15. Suppose 4*p - 41 = -5*l, z*p = -3*l + 21 + 18. Calculate the remainder when 34 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 618666 is divided by 28112?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, 26 in decreasing order.\nAnswer: 26, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(245) + sqrt(245)*1)\/sqrt(7) - ((sqrt(350) - (-2*sqrt(350) - sqrt(350))) + sqrt(350))\/sqrt(10))\/(sqrt(500)*-3*5).\nAnswer: sqrt(7)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13 - -25. Let k = -20 + 32. Calculate the highest common factor of a and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 607*k - 1638*k = 39178 for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the third derivative of y**8\/1680 - y**7\/350 - y**6\/200 + 11*y**5\/300 - y**4\/20 - 1413*y**2. Factor v(u).\nAnswer: u*(u - 3)*(u - 1)**2*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5755848840 a multiple of 2065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 3*f**2 - 16*f - 10. Determine d(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 80, 80, 82, 86, 92, 100, 110?\n\"Answer: k**2 - 3*k + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2700)*1)**2 - (-3 + sqrt(243)\/sqrt(9)).\nAnswer: -3*sqrt(3) + 2703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 6*r - 4 + 16*r + 4 - 20*r - 3. Let n be 3 - (-5)\/((-20)\/32). Determine y(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the third derivative of h**6\/180 + 2*h**2. Factor z(t).\nAnswer: 2*t**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 2 = -2*s, -52*f + 4 = -50*f. Suppose -46160 = -3*l + 6670. Is s\/((-3)\/(-15) - 3542\/l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 251751 = 18*g + 251445 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 - 213?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/7, -1, -5, 3, 27?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 729612?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/((k*k**(-15)\/k)\/k))\/k)\/(k*k\/(k**(-2\/5)\/k)) assuming k is positive.\nAnswer: k**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-8 + (-135)\/(-18))*16\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of ((-48)\/36 + 1)*-12 and 1369?\nAnswer: 5476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 31*a**3 + 99*a + 200. Calculate r(-2).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -2*x**2 - 3*x. Suppose -10 = 7*v + 11. Let g(a) = -15*a**2 - 20*a. Calculate v*g(p) + 20*u(p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 305746757.\nAnswer: 305746757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 115933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of 497 and 134.4.\nAnswer: 631.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -696*t + 3053. Give r(7).\nAnswer: -1819","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -80?  (a) -1281  (b) 2\/17  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -76 + 100. What is the greatest common factor of 312 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21012 and 408?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -112 divided by -4\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/22 + 1293\/33. Is z bigger than 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 PM and 4:43 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43756 = 1637*c + 7742 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 94100 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, 69159, -3 in descending order.\nAnswer: 69159, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - (-10)\/6)*-6. Let g be (-2)\/(-1) - 5\/h. Let f = 9 + -7. What is the closest to g in f, 1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the third derivative of d**4\/2 + d**3\/2 - 16*d**2 - 34*d. Let h(x) = 4*x - 2*x - x. What is h(q(u))?\nAnswer: 12*u + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1575 and 6475?\nAnswer: 58275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 370 and 770932.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 9c93c5 (base 16) in base 3?\nAnswer: 201022100001112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n = -4*s - 0*s, -3*n + 2*n + 7 = -1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 4*z - 15, -4*z - 4*y + 0*y = 0. Suppose 3 + z = 2*p, -5*p = -q - 9. Calculate the lowest common multiple of q and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -4*x**3 - 8*x**2 + 139*x + 1. Calculate a(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 98*g = -119 - 73. Let b(a) = -25*a**3 - a**2 + a + 1. Calculate the smallest common multiple of b(-1) and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2 + 4)*(g - 3*g - 3*g) - 3*g - 2 + 5 - 36.\nAnswer: 7*g - 33","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bscfk. Give prob of sequence kcb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1664 - 970. Let z = l + -607. What are the prime factors of z?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27233 and 2147?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8296?\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/26*(-8983)\/(-2073)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**2 + 7794160*z + 3796808131600.\nAnswer: 4*(z + 974270)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 4:24 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*v + 608 + 160 = 0 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*j - 3127845 = -37*j. Is 386 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 7 = 4*h. Let m be h\/((-4)\/(-104)*2). Suppose -14*i = -m*i + 14. Put -3, 5, i in decreasing order.\nAnswer: 5, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 33253320, 33253321, 33253322, 33253323?\nAnswer: 33253324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16*0.08.\nAnswer: -1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 1773 divide 32071797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 + 25*z**2 - 74*z + 279. Give m(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the second derivative of 3937*y**3\/3 + 8571*y**2\/2 - 5565*y. Differentiate z(n) with respect to n.\nAnswer: 7874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5571247?\nAnswer: 11, 571, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**2 + 1. Let v = -41 - -38. Let l(i) = -6*i**2 + i - 7. Calculate v*l(g) - 21*m(g).\nAnswer: -3*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9\/148 + 11\/148. Let s = -29\/333 - z. Let q = 7 + -5. Which is the closest to q?  (a) -1\/7  (b) s  (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -3) + (0 - 1 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6 + 1)\/(2\/6). Suppose 163*g + 17449 = 82486. Calculate the greatest common factor of s and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 - 58*c + 280. Calculate b(-64).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the second derivative of g**8\/8400 + g**7\/1050 - 2*g**5\/75 - 2*g**4\/15 + 3*g**3\/2 + 6*g. Let x(l) be the second derivative of b(l). Factor x(k).\nAnswer: (k - 2)*(k + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1, 49162, 3, -0.4?\nAnswer: 49162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3*4*24\/(-90))\/((-50)\/(1000\/4))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 307098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the second derivative of -g**6\/50 + 57*g**5\/100 - 27*g**4\/4 + 85*g**3\/2 - 150*g**2 - 35*g. Factor d(w).\nAnswer: -3*(w - 5)**3*(w - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -54\/11, 0.3, -0.3, -3, -6\/7 in ascending order.\nAnswer: -54\/11, -3, -6\/7, -0.3, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -122019.\nAnswer: -1\/40673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -262.2196 from -15.\nAnswer: 247.2196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51007.\nAnswer: 11, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the third derivative of 25*p**8\/504 - 2*p**7\/9 - 17*p**6\/180 + p**5\/15 - p**2 + 14. Determine b so that k(b) = 0.\nAnswer: -2\/5, 0, 1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*15701.74.\nAnswer: 15701.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 3*u + 22. Let n be r(-7). Let c(s) = -4 + 5 - 4*s**2 - n. Let z(d) be the third derivative of -d**4\/8 - 2*d**2. Give c(z(l)).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence as when two letters picked without replacement from ioiiiuuausii.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82901 is divided by 27625?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 PM and 2:11 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2 + -2*(sqrt(1008)*-2 + 0 + sqrt(1008))*6)**2.\nAnswer: -725780 - 2880*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 388*b - 197*b - 189*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 3*g**2 + 22*g + 262. Let b be v(-20). Calculate the highest common factor of 98 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 107, 143, 193, 251, 311, 367, 413, 443?\n\"Answer: -a**3 + 13*a**2 + 4*a + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 96\/(-9)*(-9)\/(-12)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 4 = -4*p, -5*y + 2 = -p - 3*y. Let m = p - 2. Solve -4*x = 5*l - 0*l + 13, l + m*x - 1 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 - 4*v**2 + 9*v + 93. Let j be u(-3). Put 4, 320, 5, j in descending order.\nAnswer: 320, 5, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 242*p - 4255. Calculate g(17).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 29*c*q*t**3 - 7*c*q*t**2 + 2*c*q*t - 2*c - 21*q*t**3 + 28*q*t + 8*t + 1 wrt t?\nAnswer: 174*c*q*t - 14*c*q - 126*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6635138151.\nAnswer: 3, 103, 21472939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of -1\/30*h**5 + 0*h - 1\/6*h**4 - 3*h**2 + 0*h**3 + 0. Find the second derivative of n(b) wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45525.\nAnswer: 3, 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmmwmwmmmmmmwmmmmmm?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - g + 104 = 0, 6*s - 68 = 3*s + 5*g. Solve -b + 5*h + 12 = 0, -5*b + 2*h - s = 4*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.85645 hours in seconds?\nAnswer: 6683.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -61) + (0 - 18 - (-22 + -4))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 376*c + 377*c - 65*c**3 - 765*c - 14*c**3 - 73*c**3 to the form w + r*c + g*c**3 + u*c**2 and give g.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, b: 7, a: 1}. Give prob of picking 1 e, 1 a, and 2 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 640312954.\nAnswer: 2, 320156477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -14 (base 13) to base 10\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22719, 22038, 21357, 20676, 19995, 19314?\nAnswer: 18633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 147*w - 2. Let x(i) = i + 1. Determine -j(y) - 2*x(y).\nAnswer: -149*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 2*f. Let z(l) = 802*l**2. What is z(v(g))?\nAnswer: 3208*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - j - 4 = f, -j = 5*f - 2. Put 4, f, -2 in decreasing order.\nAnswer: 4, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 270 divided by -9\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*v + 3*v - 7*v)*(-v - 10*v - 2*v) to the form n*v + c + q*v**2 and give q.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8360 and 125400.\nAnswer: 125400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of -2117*x**8\/56 - 1399*x**4\/6 + 52*x + 9. What is the third derivative of c(n) wrt n?\nAnswer: -254040*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes before 2:58 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 943037 is divided by 320.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100000001000001001 + -1?\nAnswer: 1100000001000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -421*u + 424*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2644 (base 7) in base 4?\nAnswer: -33310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 3:25 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -4*r**3 + r**2 + 1. Calculate the remainder when 20 + (9619 - 19)\/25 is divided by o(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 9) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3550 rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 3*m - 8*m - m - 6. Let u(b) = -b - 1. Suppose 2*q = 11*k - 16*k - 21, -9 = 3*k. Give q*a(g) + 16*u(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 289877123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -324866.\nAnswer: -1299464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 44\/39411 and 43\/578028?\nAnswer: 1734084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 2*x**2 - 11*x + 6. Suppose -2*f + 3*f - 11 = 0. Is m(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.8 + 0.3. Let z = 4476\/5 + -895. Sort b, -0.3, -1.3, z in increasing order.\nAnswer: -1.3, b, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -50540005 (base 6) in base 13?\nAnswer: -3b71b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w**5 + 516*w**4 - 46674*w**3 + 1768392*w**2 - 25637472*w + 123451776 = 0. Calculate w.\nAnswer: 12, 63, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -362066  (b) -1\/13  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 361*a**2 + 310*a + 1902. Is h(-83) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 5*a - 136 = 0, 5*h + 3*a - 56 = 144. Suppose 3*z = -2*u + 323, -4*u - 66 = -z + h. Is z a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 - (0 + 3) - -9) + (0 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -15 - -21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 22 and ((-4)\/10)\/((-1)\/((-3360)\/(-6)))?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.344547005 to 5 dps.\nAnswer: -0.34455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 83992 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 4 = -12. What is the common denominator of -89\/10 and i + 388\/(-24)*-3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 26 and 1105.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-42)\/(-18) - 2\/(-3). Suppose 4*d = m*d. Is -2\/17 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 2 c when three letters picked without replacement from {c: 4, n: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*a = 7*a - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**12)**4)**(1\/7) assuming p is positive.\nAnswer: p**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -221.4 + 79.2. Let i = -142 - q. Which is the third smallest value?  (a) i  (b) 1\/7  (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1\/(-2) - 2)\/(-4). Let w = -399 - -400. Which is bigger: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*c - 6 - 835*c + 157*c + 5.\nAnswer: -706*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00043387293 to five decimal places.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 4  (b) 1\/4  (c) -1\/3  (d) 1  (e) 206\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 + 4*h**2 - 12*h + 5. Let s be q(2). Which is the second smallest value?  (a) s  (b) -178  (c) -4  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0\/(0\/(-1) + 3). Suppose -5*r + 25 = -5*f, 5*f = -w*r + 3*r - 25. Suppose -3*j - 2*j + 60 = r. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llf when three letters picked without replacement from {a: 1, f: 2, l: 5, y: 1}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -2*z**3 + 55*z**2 + 28*z + 2. Calculate s(28).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 4*d - 17. Suppose -4*k = -2*k - 20. Let s = 38 - k. What is the smallest common multiple of s and d?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1295.25 rounded to the nearest ten?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3543\/13 + 2667\/52. Let y = g + 223. Find j, given that 3\/2 + y*j**4 - 35\/4*j + 59\/4*j**2 - 37\/4*j**3 = 0.\nAnswer: 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1643 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 -3*m + 66 + 114 = 0. Suppose 29*z + 2*o + 5 = 24*z, -3*z + 2*o = -13. Let p be ((-10)\/100 + 604\/40)\/z. What is the greatest common factor of p and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 99618195 to the power of 1\/3, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13 - 2109\/(-171))\/((-2)\/(-93))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - 4. Let h be 693\/(-6)*4\/k. Suppose 2*c + 24 = l + 6*c, -4*l + h = -3*c. Are l and 21 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddk when three letters picked without replacement from kpdpp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 137061 and 873.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 + 31*f + 171. Let o be q(-7). What is the highest common divisor of o and 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2050 divided by 2?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + -9 + 35 + -19?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 10:30 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**2 + 13*i + 8. Let w be z(-9). Let g = 37 + w. What is the second derivative of g*f + 15 + 8 - 3*f**3 - 23 wrt f?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2\/75 and -27\/2.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 254*j = 243*j + 100199. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -1, -5846, 86?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, b: 4, y: 7, l: 1, i: 4, c: 1}. Give prob of picking 1 b, 1 l, and 1 y.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 254 - 130 = 4*p + 4*m + 10*m, -m + 26 = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 - -1002?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 54528 and 7952.\nAnswer: 381696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**3\/5 - 1033*q**2\/5 + 54272*q - 2359296\/5.\nAnswer: (q - 512)**2*(q - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20, -47, -74?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 6152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22 + -20 + 3 + 2 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 + 14. Suppose g = 3*q + 13. Let z = 130 - 525\/4. Which is the third biggest value?  (a) q  (b) 0  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**0\/l*l)**(-30)*(l\/(l\/(l*(l\/(l**(5\/2)\/l))\/l)))\/(l**8\/l*l))**(-13) assuming l is positive.\nAnswer: l**(221\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((190\/(-4))\/19)\/((-1)\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the first derivative of m**4\/4 - 4*m**3\/3 + 2*m + 5. Let q be w(4). Suppose -q*v = 2 - 8. Solve 4*t + 3*s + 2 = 0, 4*t + 4*s + 6 = v*s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qhj when three letters picked without replacement from {h: 1, f: 3, j: 5, q: 7}.\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l + 5526 + 2396. Let p(d) = -10*d**3 - 9*d**2 + 4*d - 37. Let i be p(8). Let g = l + i. Round g to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -719*k**2 + 2*k + 8 - 2*k.\nAnswer: -719*k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -20609, -39712, -58815, -77918, -97021, -116124?\n\"Answer: -19103*a - 1506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 23*g - 4*g - 13*g + (-2*g + g - 2*g)*(1 + 1 - 1) + 1 - 2*g - 1.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8695*u = 8685*u - 130 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10363 is divided by 8404?\nAnswer: 1959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 417*t**4 - 4*t + 33245?\nAnswer: 1668*t**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the third derivative of -l**5\/120 - 5*l**3\/6 - l**2. Let q(a) be the first derivative of c(a). Determine q(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22420933, 22420973, 22421031, 22421101, 22421177?\nAnswer: 22421253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*s + 31 - 31)*(-3 - 2 + 3 + (1 - 3 + 0)*(0 + 0 + 4)).\nAnswer: -40*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 33712\/(-16254)*((-432)\/(-112) - (3 - 0\/1))\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -3*84\/18 + 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 2 = 4*w, q - 8 = 3*w - 0. Suppose 0 = -x + 4 + q. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/243 and 5\/9657.\nAnswer: 260739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 2*v + 50. Let n(y) = -5082*y + 145. Let t(l) = -a(l) - n(l). Find the first derivative of t(s) wrt s.\nAnswer: 5080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v - 3. Suppose -2*j + j - 5 = 3*s, -3*j = -5*s - 41. Calculate o(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79 is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 166456*g**2 + 83084*g - 72.\nAnswer: 4*(2*g + 1)*(20807*g - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -13*n + 13. Let s(v) = -54*v + 51. What is 5*s(r) - 21*u(r)?\nAnswer: 3*r - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-34))\/((-984)\/(-2788))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v = -q + 3, -3*q = 409*v - 406*v - 27 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-60))\/(432\/486*4\/(20\/(-3)))\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 33966, 67919, 101872?\nAnswer: 135825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 5, 4*z - 5 - 1 = -5*t. Suppose -5*a - 6 = -16. Let l be a - (-1 - -14)*-1. Solve -t*h - h = -l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 16*n - 7. Let t be b(4). Suppose t*d = 55*d + 8. What are the prime factors of (-5 + d)\/((-4)\/668)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -450 (base 16) in base 4?\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -4, -2, -244, -21, -3 in increasing order.\nAnswer: -244, -21, -4, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from axnadqaddyadadn. Give prob of sequence dq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.46 + 0.4599852. Round r to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35 divided by -4.\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*s - 4837 - 513 = 0. What is the remainder when s is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y - 4*u + 51, 0*y + 5*u - 48 = 4*y. Let j(o) = -o**3 - 7*o**2 - 7*o - 2. Is 11 a factor of j(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-275)\/(-396) - 3\/(-4). Let y = z + 47\/36. Let s = -4205215\/68 + 61840. Calculate the common denominator of y and s.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b**3 - 46630*b**2 - 20*b + 186520 = 0. Calculate b.\nAnswer: -2, 2, 9326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.05 and 32.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3391*k - 6*k**2 + 13 + 3358*k + 5*k**2 - 13.\nAnswer: -k**2 - 33*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 5*i**3 + 180*i**2 - 3275*i + 11250 = 0.\nAnswer: -50, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 19162 and 6566.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**2 + 18*f - 24. Let j be d(16). Let l be (3\/2)\/((-2)\/j). What is the units digit of -1 + -3 - l - 0\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 274 < 251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 1 o when three letters picked without replacement from gowgzgxxwwmgo?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/2 - -2 - (-5 + (-28)\/(-7))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*q + 9224 + 7480 = 0. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 60352?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = -2*a - 12. Let l(n) = n**2 + 5*n - 4. Let j be l(a). What is the second derivative of -j*u - 2*u**4 + 0*u + u**4 wrt u?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 139 a factor of 90180420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 0*v = 4*k + 1644, 0 = 3*k - 5*v + 1220. Let q be 0\/(-2 + 4) + k. Round q to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 28600 - 28595.8714. What is t rounded to two decimal places?\nAnswer: 4.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -2*a**2 - a + 4. Let z(k) = 13*k**2 - 7*k - 33. Let o(m) = 6*j(m) + z(m). Give o(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 581d (base 16) in base 9?\nAnswer: 33843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -2*i**2 - 63*i + 1093. Calculate m(-44).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(3\/7)*k**(-17)*k**(7\/5)*k*k*k**(-5\/2) assuming k is positive.\nAnswer: k**(-1097\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (84 + -83)\/((-2)\/(-3)*18\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1612 - 824. What are the prime factors of q?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 72 + -151. Let z = 170811.55912 + -170732.55911917. Let r = g + z. Round r to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f + 11. Let g be b(-11). Let o(r) = -5*r - 25. Let q be o(-6). Solve g*h + s - 23 = -q*h, -2*h = -4*s + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1581447 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*f**2 - 132*f + 64*f + 1 + 67*f)*(-1 - 3 + 2)*(0 - 2 + 5)*(0 + 2 + 1)*(3*f + 0*f - 2*f) as z*f + h*f**2 + k*f**3 + t and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 348805\/3248928 - 1\/12448. Let v = 1163\/783 + n. Find the common denominator of -43\/33 and v.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11674 + -35006\/3. Suppose 12*x**2 + 40\/3*x + z + 14\/3*x**3 + 2\/3*x**4 = 0. What is x?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the third derivative of 0 + 0*u + 3*u**2 + 0*u**3 + 1\/8*u**4 - 1\/20*u**5. What is the second derivative of s(j) wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 127, 260, 393, 526, 659, 792?\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -98*o**4 + 152*o**2 - 4*o + 4. Let i(a) = -198*a**4 + 305*a**2 - 9*a + 9. Let g(s) = -4*i(s) + 9*p(s). Find the third derivative of g(b) wrt b.\nAnswer: -2160*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2)\/4)\/(2\/36). Let b = w - 0. Let m be 2 - 6\/b*3. Solve -m*r + 2 = 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 32 and 28.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x + 21 - 49 - 65)*(2 - 2*x**2 - 2)*(0*x - 5*x + x).\nAnswer: -8*x**4 - 744*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-1\/3)*f**(-1\/4)*f**(-7)\/f*f*f**1)**47)**(-1\/15) assuming f is positive.\nAnswer: f**(3713\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2907*u - 340 = -2912*u + 5*q, q + 80 = 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 9 = l - 0*l, 5*l - 4*o = 45. Suppose -l*b - 693 = -16*b. What is the highest common divisor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 360 by 72.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*k - 23*k + 128 = 0. What is the least common multiple of k and 258?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the second derivative of 2\/3*l**3 + 0 - 1\/2*l**4 - 7\/2*l**2 - 6*l - 1\/20*l**5. Let k be y(-7). Solve -3*s + c = k, 3*s - 4*c + c + 18 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -2, -3, 0.05, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + -103?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32795, 65645, 98559, 131531, 164555?\nAnswer: 197625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from qttqttqtqttqttttft.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -4523*x - 2359*x - 4116*x + 752*x as g + m*x and give m.\nAnswer: -10246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 246*z**3 - 492*z**3 + 255*z**3.\nAnswer: 9*z**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 629\/40 + -78\/5. Put x, 5\/4, 3\/13, 0.3 in increasing order.\nAnswer: x, 3\/13, 0.3, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13046 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15306?\nAnswer: 2, 3, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 16*(-2 + 24\/16) + 39886\/4995?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 5 - 1 = 0. Let a(h) = 5*h**3 - 3*h**2 - 2*h + 3. Let z be a(d). Suppose -2*s = -s + z*s. Solve 0*g + g + 1 = s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 121851 is divided by 2901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 133*m + 65*m - 4*m - 71*m + 215*m.\nAnswer: 338*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqjzoolzoz. Give prob of sequence qzoq.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a\/(a*a\/a**(-1\/3))*a*(a*a**13)\/a*a**(-35)*a**(-1\/47)\/a assuming a is positive.\nAnswer: a**(-3293\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -518*w**4 - 514*w**3 + 2594*w**2 - 1574*w + 12 = 0.\nAnswer: -3, 2\/259, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33 divided by -388032.\nAnswer: 11\/129344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1985 - 1989. Which is the fourth biggest value?  (a) x  (b) 2  (c) 5  (d) 4  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in thirty-seven halves of a micrometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1392 and 22992?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 132121580 and 1590?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -4\/3  (c) 0.2  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.636128m in micrometers?\nAnswer: 5636128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 4938, 4933, 4916, 4881, 4822, 4733?\n\"Answer: -a**3 + 2*a + 4937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**3 + 2*m - 3. What is the units digit of u(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 330 >= 323627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**2 - 17*d - 22. Suppose 2*n = -t - 16, t - n + 16 = -0*t. Calculate m(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**3 - 6*m**2 + 4*m + 7. Let u be q(-7). Calculate the greatest common factor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1546375823 a multiple of 846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + sqrt(343)*-2)**2 + sqrt(343) - sqrt(343)) + -2 - (sqrt(28)\/(sqrt(4) - sqrt(28)\/(sqrt(7)*2)) + 1)**2.\nAnswer: 108*sqrt(7) + 1357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -27*x - 3. Let a be g(-1). Suppose -19*i - 200 = -a*i. Calculate the highest common divisor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 2*y = -54, -2*y = -3*p - y + 101. Let j be 2 - 5 - 2 - 139*-1. What is the lowest common multiple of (25\/(-15))\/(-2 - j\/(-72)) and p?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*2*sqrt(832) - sqrt(832) - 1*(-2 + sqrt(832))) + (sqrt(832) + 2 + -2 + -1)*5)**2.\nAnswer: 336*sqrt(13) + 40777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + (-7 - 5) + (-1 - (-5 - (-6 - 0)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + y = -22, -6*y + 4*y - 2 = 0. Suppose -2*g = 4*r - 272, 0 = -3*g - 3*r + 437 - 14. What is the remainder when g is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -1\/48, 2\/11, 1 in decreasing order.\nAnswer: 1, 0.2, 2\/11, -1\/48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - i - 2*i + 264, 5*f = -5*i + 335. Let z be 2\/(-9) + 14\/f. Suppose 2*y + z*y = 5*m - 189, -3*m + 123 = 2*y. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1534005 divided by 46485.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 772916 is divided by 678?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 - 18\/5. Let s = -13\/10 + 29\/20. Let n = z - s. What is the closest to n in 0.2, -3, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -3 - (-52 - -53)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 19*q - 8 - 8 - 55*q + 22*q wrt q?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 - 14*s + 34. Let n be d(-11). Let k = n + -62. Suppose 5*u + 3*q - 350 = 0, 0 = q - 2*q - k. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 2:25 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 377 + -108. List the prime factors of k.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 35 = 3*w, -99*w + 97*w = -2*g - 24 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 + 8 + 16 + 20*k - 31.\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2366868 divided by -228.\nAnswer: -10381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8893 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.5 + 3.5. Let k be 1*(-3 + 2 + 2). Which is the nearest to k?  (a) u  (b) -2\/5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -73 + 79. Suppose 31 = 5*n + q, 0 = 3*v - n - 1486. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5794295.656 + -5794337.65600021. Let p = n + 42. Round p to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 934124 is divided by 998.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 127.122 + -127. Let a = l - 0.173. Let v = 13.351 + a. What is v rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q + 4*v + 4, -3*q - 3*v + 6*v + 27 = 0. Suppose 5*a + 2*y = 30, -2*a - q*y = a - 4. What is the lowest common multiple of a and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*d**5 + 2*d**5 + d**5 + (-7*d**2 + 3 - 3)*(0*d**3 + d**3 + 0*d**3).\nAnswer: -9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in nine tenths of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -3*t - 4*f + 1, 5*f + 23 = t. Let d be (38*(-2 + -1)\/6)\/(-1). Let m = 44 - d. Solve 2*c + m = -t*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/15*(-1)\/126. Let r = -449\/126 - m. Find the common denominator of -1\/6 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/31520 and -52\/1705.\nAnswer: 10748320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 11, w: 1}. What is prob of sequence wbb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -27 + 22 - (1 - 1298). Let u(r) = r**2 - 652*r - 650*r + n*r. Let s(q) = -7*q. Determine u(s(b)).\nAnswer: 49*b**2 + 70*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -748, -1513, -2278, -3043?\n\"Answer: -765*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000041849138 rounded to 7 decimal places?\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of -7\/10*z**5 + 0*z**4 + 0 - 12*z + 0*z**2 - 3*z**3. Find the second derivative of q(p) wrt p.\nAnswer: -84*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-1 + (sqrt(162) - sqrt(162)*4)*6)**2*-6.\nAnswer: -1259736 - 7776*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-348)\/(-28) + 7 + -12 - 7.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17323 is divided by 619?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 7*j**3 + 9*j - 6. Let t(u) = u - 1. Let d(h) = q(h) - 6*t(h). What is the second derivative of d(f) wrt f?\nAnswer: 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**2 + 2*y - 3. Let x(n) = n**3 + n**2 + 2*n + 3. Let f be x(0). Suppose -2*s - 2 = -f*s. Determine k(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -801\/2 - -401. Put -1, 0.1, -0.3, a in decreasing order.\nAnswer: a, 0.1, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0232 - 729384.\nAnswer: -729383.9768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2245 + -564342?\nAnswer: -562064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*(a*a\/a**(2\/29)*a)\/a*a)\/((a*((a*a**(-1\/21))\/a*a)\/a)\/a))**12 assuming a is positive.\nAnswer: a**(9692\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**2 + 2. Let a(p) = 3*p**2 - 5. Let n(o) = 4*a(o) + 10*r(o). Let c(s) = -7*s - 11. Let y(h) = 2*h + 3. Let t(b) = 6*c(b) + 22*y(b). Give t(n(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 + (-2)\/2*2. Let b be s\/((-6)\/20)*-12. Calculate the highest common factor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -344 + 213 = 5*b - 231 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/52062 and -56\/1483767.\nAnswer: 2967534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 106 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -2*y. Let k be (-26)\/221 + 53\/17. Let p(r) be the second derivative of 1\/6*r**4 + r + 0 + 0*r**k + 0*r**2. Give g(p(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -8442, -33805, -76088, -135291, -211414, -304457?\n\"Answer: -8460*i**2 + 17*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15, -17, -13, -3, 13, 35, 63?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 16\/(-24) - (-205)\/3*-1. Is c less than or equal to -68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t + 11. Let q(s) = s**2 - 7*s. Let g be q(7). Suppose 5*f = -15, g*f + 2*f + 51 = -5*d. Calculate the remainder when z(d) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001188 rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -57, -84, -113, -144?\n\"Answer: -u**2 - 24*u - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12939039, 12939037, 12939033, 12939027, 12939019?\nAnswer: 12939009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 101617  (b) 2\/9  (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5264\/11 + 480. Factor 5\/11*p**2 + 4\/11 + h*p - 25\/11*p**3.\nAnswer: -(p - 1)*(5*p + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -492 by -123.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.22 less than 0.0292?\nAnswer: -0.1908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - 2*i - 173 + 167 = 13*i, -2*i = 2*x - 28 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 22*u = -144. Let y(c) = -c + 1. Calculate y(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 5*q - 885 = 0, 2*q + 0 = -2. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 - -4. What is the smallest common multiple of 5 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 21*k - 20*k. Is k <= 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5\/2 or 453?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9349.\nAnswer: 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 18511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*c - c + 0*c + (-4 + 5 + 0)*(-1 + 1 + c) - 13 + 13 - 3*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1272, 0.01, 0, 0.1, -3 in increasing order.\nAnswer: -3, 0, 0.01, 0.1, 1272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -9, 1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -7407420, -7407406, -7407404, -7407420, -7407460, -7407530?\n\"Answer: -c**3 + 21*c - 7407440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2678, 2679, 2680, 2681, 2682, 2683?\n\"Answer: z + 2677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -10785106 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 - -0.4. Let j = 2.6 + u. Let c = 2.5 - j. What is the second biggest value in 2\/7, c, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/((-9)\/(-2)) + 60\/35.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 1)*(-3*c + c + 7*c) + 0*c - 4*c + 3*c + (0 - 2 + 1)*(-14*c - 15*c + 10*c).\nAnswer: 28*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2548 or -197?\nAnswer: 2548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and -53.2.\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/3213 and -107\/2142.\nAnswer: 6426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 9 - 26*n - 11 - 16*n + 47*n. Suppose -1 = -4*s + 3. Let w be s\/(-1) + (3 - 0). Determine f(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -207.8 - -252. Let a = -51 + l. Let y = -6.79963 - a. What is y rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 153 and 21267.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(2\/3))**(-9)*(r**(-1\/11)*r*r)\/(r**(-4)\/r) assuming r is positive.\nAnswer: r**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3 - 117507.\nAnswer: -117507.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes after 1:21 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/5?  (a) 10\/513  (b) -33  (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2*y**2. Suppose k = 5*k - 4. Let m(b) be the first derivative of -28*b + 5*b**3 - k + 28*b. Determine f(m(s)).\nAnswer: 450*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6155179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 5*r - 17, -3 = y + r - 0*r. Is (5\/y)\/((-2)\/40) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*u + 11*u + 34*u + 54*u + 3 - 2*u - 3 + 3*u - 2*u - 3*u + (6*u - 3*u - 2*u)*(3 + 0 - 5) + 1 - u - 1 to h*u + d and give h.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 74698858?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -4*j**3 + 11758*j**2 - 46971*j + 8. Calculate a(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 + 13. Suppose 47 = f*z - k, -k - 20 = -4*z + 42. Solve -4*h + 4*r - r = -19, 5*h - 2*r = z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 21 - 11)*(4 - 3 + 1)*(-2*p**2 - 2*p**2 + 6*p**2).\nAnswer: -116*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 71 divide 1878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1649, -1676, -1721, -1784, -1865?\nAnswer: -1964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 472.\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 7\/(14\/4) + 1. Suppose 29 = 2*h + 3*l, 5*h = -l + t*l + 120. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**3 - 12*p**2 + 12*p.\nAnswer: 3*p*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9*i**2 + 4*i**5 + 11*i**2 + i**5 - 7*i**6 - 8*i**6 - i**6 + 515 wrt i.\nAnswer: -1920*i**3 + 300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15418.\nAnswer: 2, 13, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -13*l**2 + 17*l. Let y(h) = 4*h**2 - 6*h. Calculate 6*c(s) + 17*y(s).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 609763 and 2310.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -6*v + 2*v + 21, 0 = 4*c + 2*v - 18. Suppose -5*b - 2 = -2*t, -2*b + 7*t = 2*t + c. Let k = 2\/69 + 112\/897. Which is smaller: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*b + 0*b + 2*b**3 + 164 - 5*b**2 - 164 + 2*b**4 as m*b + j*b**3 + t*b**4 + o + g*b**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 585556 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -29 + 28. Let y(n) = 16*n - 10*n**3 - 9*n - 8*n. Calculate y(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 95.5 - 94.43. Round h to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w - x - 15, -5 = w + 3*w + 3*x. Let l = w - -5. Which is bigger: 2\/5 or l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 281 divide 1591611538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/(12\/(-279)))\/(60\/(-80)). Let x = b + -28. Solve 5*m - 3*m + 2*q = 0, x*q = -5*m + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**3\/4 + 19*h**2 + 133*h\/4 - 555\/2.\nAnswer: (h - 3)*(h + 5)*(h + 74)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(13) + sqrt(468) + -3.\nAnswer: 2 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108 - 132 = -8*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3.9984 - -0.1016. What is the biggest value in 1\/3, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 3 - 55*x**2 - x**3 - 50*x**2 + 102*x**2. Calculate d(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9566 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -708 = -75*g + 16*g. Solve 10 - g = 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -6*r**2. Let m(g) = -5*g - 34. Let d be m(-15). Let h(z) = -25*z**2 + d*z**2 - 17*z**2. What is h(v(j))?\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 98\/13 + -268\/39. Let t = 14.4 - 16. Let u = -1.2 - t. What is the nearest to -0.2 in u, -4, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*-2.2077\nAnswer: -6.6231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 18855348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**3 + q**2 + 15*q + 23. Let g be d(-2). What is the greatest common divisor of g and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -21*w**5\/5 - 39*w**4 - 369*w**3\/5 - 237*w**2\/5 - 42*w\/5 = 0.\nAnswer: -7, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - 19. Let d(v) be the first derivative of -3*v**4\/4 - 2*v**3 + 9*v**2\/2 - 10*v - 2. Let w be d(f). Round w to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 4*c + 31. Give z(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.07 in 98, -3, 0.08, 96?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.414 - 5.414. What is the third biggest value in 74, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 + -3 + -4 - (1 + 46)) + 40 + -32.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - 2) + -13 + 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a + 15. Suppose 4*g + 8 + 0 = 4*l, -4 = -g - 2*l. Let q be k(g). Solve -2*p = p - q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22738?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tttt. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6253*i + 6254*i - 21*i**2 - 28*i**2.\nAnswer: -49*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -3*w. Let j(q) = -327*q + 1. Determine j(a(u)).\nAnswer: 981*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, 4\/9, 3\/4, 7 in decreasing order.\nAnswer: 7, 3, 3\/4, 4\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3*(-2 - (-804)\/9). Suppose -3*d + 1496 = 1091. Let p = w + d. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:01 PM and 1:33 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1826 + 1826.0004681. What is j rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -120 + 123. Solve 8*v + 7 = o + s*v, 5*o + 2*v = -19 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7100\/239625)\/(4\/10)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**2 + 140. Let w = -3 + 3. Let h be z(w). Suppose h = 2*l + 2*l. Calculate the highest common factor of l and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 196710?\nAnswer: 2, 3, 5, 79, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x\/x**(-25)*x*x))**(16\/7))**(4\/25) assuming x is positive.\nAnswer: x**(-1728\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21)\/14*((-42)\/(-18) - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*v - 35*v - 134*v = -7886446. What are the prime factors of v?\nAnswer: 2, 61, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 2*t + 2. Let d be -10*(-2 - (-24)\/10). Let b be w(d). Let o = -21835210\/4094103 - 2\/1364701. Is o at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5676357 (base 8) in base 6?\nAnswer: 52554235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4928*y**2 - 1926*y**2 - 14*y**3 + 6*y**3 - 3002*y**2.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 3*z = 12. Let n = 109 - 86. Suppose m - z*g - n = 0, 0*m = 4*m + 4*g - 44. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 10  (b) -72966  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 3 + 1)*(4*h**3 - 2*h**4 + 2*h**2 - 4*h**3) - 4*h**4 + h**4 + 4*h**4 as n*h**4 + k*h**3 + r*h**2 + x*h + v and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 1458*t**3 - 3*t**2 + 23*t - 41. Is z(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4172305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12536\/399 - -2198\/57. Determine c so that t*c - 12\/7 + 18\/7*c**2 = 0.\nAnswer: -3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 19 + -17. List the prime factors of (3\/a)\/(3\/110).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 333 = 1023. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 - 6) + 2 - 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -414.4+-22586586\nAnswer: -22587000.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 610582 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, 40, -1\/2, 0.1, 1\/27800, 4\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 - (-2 + 2)\/2. Let t(x) be the third derivative of 0*x - 11\/120*x**6 - 1\/60*x**5 - 1\/24*x**4 - 1 + 19*x**2 + 1\/6*x**3. Determine t(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6a (base 11) to base 3.\nAnswer: -2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -139 + 269 = -23*v - 238 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**3 - 10*w**2 - 10*w - 7. Let y be a(11). Suppose 0 = 5*p + v - 122 - 0, 0 = y*v + 12. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -29*j**3 - 4*j**2 + 2*j + 3. Let a be -2 + (0\/(3 + -2))\/2. What is the remainder when z(a) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1781 (base 15) to base 16\nAnswer: -13cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/4)\/(((-171)\/(-24))\/19).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 3*b = 31, 827*j + 6*b + 46 = 831*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1905 - 1989.3. Let w = n - -84.4298. Round w to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 176 and 660?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o**5 - 1350*o**4 - 6724*o**3 + 1362*o**2 + 22853*o - 16140 = 0. What is o?\nAnswer: -1345, -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the second derivative of -x**8\/6720 + x**7\/1260 + x**6\/720 + x**5\/120 - x**4\/6 + x. Let f(h) be the third derivative of n(h). What is f(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/1044 and -97\/685776?\nAnswer: 59662512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 115.2 - 19.2. Let c = w + -96.1. What is the closest to -0.05 in 1, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(1224)\/sqrt(2) + 1 - 5*sqrt(85)\/sqrt(5)*2).\nAnswer: -5 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 13*t + 173. Determine q(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -3209, -14022, -32045, -57278, -89721, -129374?\n\"Answer: -3605*l**2 + 2*l + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -2*m**2 - 22*m - 11. What is the remainder when 43 is divided by w(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-6)*(-27)\/(-3). Suppose 22*f + 14 = 94 + 30. Solve g*c = -f + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2342 + 3339944.3.\nAnswer: 3337602.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00153683 to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 42610915 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -180, -899, -2154, -3945, -6272?\n\"Answer: -268*y**2 + 85*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.2  (b) 11  (c) -1  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rdrrrrrddrr.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -121 - -63. Let n = -3191 - -3134. Is n < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:42 AM and 10:43 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, i: 10}. Give prob of sequence ii.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 - 10*w**2 - 3*w + 3. What is j(8)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 0*z**3 - 3*z**3 - 1 - 3*z**3. Let b be k(-1). Solve -b*u + 2*a = -15, -4*a - 5 = -5*u + 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 + -13. Let r(w) = 4*w - 6 + 4 - 3 + w**2 - w. Give r(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes before 2:54 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1507071796?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 124 = -52. What is the highest common divisor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(65)*-2)\/sqrt(5) - -2*sqrt(637))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:06 PM and 4:51 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eleven eighths of a millennium?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -6*(-8)\/(-40)*5. Let d(j) = 0*j**2 - 4*j + 12 - 1 - j**2. Let m be d(x). Let y(a) = -11*a. Give y(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 2\/3 + 14\/3*l + 6*l**3 + 10*l**2 = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 270199?\nAnswer: 19, 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 823467 to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1*-4671\nAnswer: 4671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(24)\/sqrt(4))\/sqrt(2) + 1 + sqrt(3) + 2).\nAnswer: 12 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v + 0*v - v**4 + 2*v**4 + 0 + 0 + (4*v - 3*v + v)*(-v**3 + 2*v**3 + 0*v**3) + (-9 + 9 - 4*v**4)*(1 + 2 - 5))*(5 - 4 - 7)*(97 - 41 - 50).\nAnswer: -396*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -2*c**2 + 13*c + 2. What is the remainder when 22 is divided by f(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 14 and -9980.71.\nAnswer: -139729.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -85.96 - -86. Which is the third biggest value?  (a) -0.2  (b) -3  (c) m  (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3199263, -6398516, -9597757, -12796980, -15996179, -19195348, -22394481, -25593572?\nAnswer: -28792615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*v + 99 = -13. Let w(u) = -u**3 - 9*u**2 - 10*u - 7. Determine w(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2*(-1)\/6*-21. Let b be -2 + 0 - (-10 - s). Let t(w) = 50*w**2 + w. What is the tens digit of t(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 - (36 - (10 - -11)) - 38.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:14 AM and 4:45 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -79660*z + 2867758. Give a(36).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(((-4)\/4)\/((-4)\/2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 15012323?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + 4*j + 750, 0*j + 4*j + 20 = 0. Let k = i + -144. Solve k*w = -0*w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*n - 20362 = -3432. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-9 - (-15 + 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9.077 + -5.\nAnswer: 4.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2\/21, 2, -1\/6, -1\/8.\nAnswer: -1\/6, -1\/8, -2\/21, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -110 (base 6) to base 13\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8629173 a multiple of 729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 4958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.24+2.221648\nAnswer: 1.981648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1445*k**4 + 4080*k**3 - 2625*k**2 + 490*k.\nAnswer: -5*k*(k - 2)*(17*k - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5 and 2792860.\nAnswer: 2792860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 2\/9  (b) -0.036  (c) -2\/7  (d) 3  (e) -67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20.5 - -16.5. Let w = -16.71 - -5.71. What is the closest to -0.1 in w, r, 5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 22 = m + 2*r, -4*m + 30 = 3*r. Is 3\/6*m*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the first derivative of 2\/3*c**3 + 3 + 0*c + 0*c**2 - 1\/2*c**4. Factor r(k).\nAnswer: -2*k**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -8283, -8813, -9291, -9717, -10091, -10413?\n\"Answer: 26*z**2 - 608*z - 7701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -12*v**2 - v + 2 + 23*v**2 + 5*v. Let u be r(-2). Suppose -10 = -2*g + 7*g, -j = -4*g - u. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.1 + 1.1. Let t be 0 - (21 + 6\/(-2)). Let d = t + 13. Which is the second biggest value?  (a) -4  (b) j  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4 + (-4)\/(-32)*-22. Which is the closest to 0.1?  (a) j  (b) -1  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 + 7 = 2*u - 8 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 135251, 135249, 135247?\n\"Answer: -2*w + 135253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -10810810 rounded to the nearest 100000?\nAnswer: -10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 67268705 to the nearest integer?\nAnswer: 8202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 489?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6 - 81651\/(-85) - 2\/(-5).\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - n - 100 = 0. Let j = n + -22. Calculate the remainder when 3 - (0 + 2 + -4) is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -50. Calculate the remainder when z is divided by (11952\/351 + (-6)\/117)*(-2)\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 318946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2 + 2*t - 153. Let r be c(0). Let f(z) = -z**3 + 21*z**2 - 23*z + 10. Let h be f(20). Let m = r - h. Which is bigger: -104 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2\/101, -3463 in ascending order.\nAnswer: -3463, -2\/101, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 4*d**2. Let j(f) = -5*f**2 + f. Give t(j(m)).\nAnswer: 100*m**4 - 40*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 710 and 112.\nAnswer: 39760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 divided by -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v - 3. Let i be b(-5). Let z(l) = -7*l - 20. Let n be z(-14). Suppose -i*t = -t - n. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 126929.5029 + -21.5029. Let w = 126907.40003 - d. Let g = w - -0.6. Round g to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -132 - -136. Calculate the remainder when 1\/(6\/48)*k is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 229 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1611314268?\nAnswer: 2, 3, 41, 53, 61, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*r**5\/11 + 17296*r**4\/11 + 37617832*r**3\/11 + 966802004*r**2\/11 + 854034966*r\/11 - 1858472100\/11 = 0. Calculate r.\nAnswer: -4311, -25, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 less than -252?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12723 - -12758. Calculate the remainder when 462 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 2*i = -i - 1211, 0 = 3*b - i - 912. Let g = 588 - b. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1632*s = 3535*s - 434028 for s.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (-6*(-2*sqrt(112)*1 + sqrt(112) + -3*(1 + sqrt(112) - sqrt(112))) - (1 + 3 + sqrt(112) - (3 + -2*sqrt(112)))))**2.\nAnswer: 288*sqrt(7) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2041\/91 - (0 - (-12)\/28). Let f(s) = 9*s**2 + s + 4. Let r be 18\/8 - (-9)\/12. Let c be f(r). What is the highest common divisor of i and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes after 9:10 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/4119168 and -71\/96?\nAnswer: 4119168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes before 12:30 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 77357 by -48.\nAnswer: -77357\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 22222211200 (base 3) to base 14\nAnswer: 48730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 8364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.05 + -6.15. Let i = -2.2 - t. What is the nearest to -0.07 in -2, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i. Let d(y) be the third derivative of -y**4\/12 + y**3\/3 + y**2. Calculate -d(j) - 3*n(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 386 is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 77.16852 minutes?\nAnswer: 0.05358925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -2\/9, -20\/9, 2, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4388731?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 11*r - 20. Let y(k) = 33*k - 61. Let x(t) = -11*h(t) + 4*y(t). What is the remainder when x(9) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*n**3 + 4*n**3 + n**4 + (4*n - 4*n - 3*n)*(2*n**3 + 3*n - 3*n) + 3*n**4 - n**4 + 0*n**4 + (-2*n**2 + 4*n**2 - 4*n**2)*(8*n**2 + 65*n**2 + 13*n**2).\nAnswer: -175*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(325) - -3*1*sqrt(325) - sqrt(325))**2 + 0 + 0.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (132\/(-16) - -5)*-628*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p = 61*x - 62*x - 17, -6*p + 36 = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 5*g**2 - 93*g - 14. Let z be u(21). Suppose -3235 = -z*a + 233*a. What are the prime factors of a?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 147389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l + 1. Suppose 2*d - 12 = -0*d - 3*q, 2*q - 8 = 2*d. Let w be o(d). Let u = 1 - w. Let g(i) = i**3 + i**2 + i - 3. Give g(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -9*j + 6. Suppose -5*f = 2*w + 3 - 11, -w = -4*f + 22. Suppose -44 = 6*v - 110. Let a(y) = -5*y + 3. Give v*a(o) + w*h(o).\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wndqdsqnsisn. Give prob of picking 1 q, 1 s, 1 n, and 1 w.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c - 4*c = 60. Suppose -l - 2*l = -c. Let b = -5 + l. Calculate the greatest common divisor of 50 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, q: 1, c: 2, x: 1, f: 1, t: 2}. Give prob of picking 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 3*d + 8 = 0, 3*z - 5*z + 2*d - 12 = 0. Let r = -4 - -15. Let x = 10.6 - r. What is the nearest to 1\/2 in z, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5371466504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -987 - 968 - 64*b**3 + 1955 - 2*b**2.\nAnswer: -64*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 135329, 134838, 134343, 133844, 133341, 132834?\n\"Answer: -2*j**2 - 485*j + 135816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*j**3*p + 42*j + 157*p wrt j?\nAnswer: 6*j**2*p + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -152*w**2 - 9250*w - 26388. Determine p(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 37*k + 104*k - 45543. Calculate the remainder when 615 is divided by k.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y = 6*y. Suppose y*u = -3*u. Suppose 2*t + i - 6*i - 54 = u, 2*t + 5*i = 94. Does 26 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12662 + -9945. Which is greater: u or 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -175871, -349625, -523379?\nAnswer: -697133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n - k - 124, -4*k + 6*k = -8. Suppose -4*g + 373 = 5*i, -g = 61*i - 66*i - 112. Suppose -g*y - n = -101*y. Solve -y + 3 = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24827.5254228 less than -9?\nAnswer: 24818.5254228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(3 + (-637)\/234)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 50, 83, 98, 95, 74, 35?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 8 = 4*b, -1 = -4*z - 4*b + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 1. Let r = -0.102757 - -3.102757. Put w, r, 36 in decreasing order.\nAnswer: 36, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-1628)\/55 - 1) + -33)\/((-15)\/25)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*f - 474780 = 55080. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kwt when three letters picked without replacement from {t: 7, l: 2, y: 1, k: 2, w: 1, i: 2}?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 3, 2167, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 603*q. Let g(s) = 20*s + 17. What is k(g(j))?\nAnswer: 12060*j + 10251","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 2*l + 140 = 0. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the second derivative of -865*p**5\/4 + p**4\/4 + p**3 + 3*p**2\/2 - 161*p. Is q(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - m = 0. Suppose m = 2*i + 3*i - 30. What is the third derivative of 0*f**6 - f**i - 12*f**2 + 14*f**2 wrt f?\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 9*q**3 + 285*q**2 + 1364*q - 131. Calculate s(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*k - 536 = 1999. Suppose 10*r - k + 59 = 0. Calculate the remainder when 75 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20521580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-2 + 13 + 3 - 5) + -9 + -24\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -4*v + 15. Let y = v + 0. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 6 + (3 - 4 - 16) + 129 + -209?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 12*((-4)\/8)\/1. Let u be (1 + -2)\/(x\/(-6)). Let a(z) = z**2 + z + 1. Let o(d) = 2*d**2 + 4*d + 4. What is u*o(r) + 4*a(r)?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + -a12?\nAnswer: -a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 5*n + 77, -n - 3 = -2. Calculate the lowest common multiple of (-4 - -30) + (-1 - 3) and p.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-7905)\/(-867) + 4\/(-34). Sort s, -64, -2.\nAnswer: -64, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 4*a - 49. Determine u(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-504)\/(-2688)*15136\/(-129)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*w = -94 + 154. Let g(a) = a + 5. Let u(n) = 2*n - 6 - 4 + 0*n - 4*n. Determine w*g(f) + 2*u(f).\nAnswer: f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 123 is divided by 69.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28545 - 79895*a + 28545 + 79924*a.\nAnswer: 29*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 11789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/(-2) + (-4 - -29). Let l = y + -11. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/(-14) - 226\/(-7). Let l = -29 + y. Find the third derivative of 4*j**6 - 5*j**6 - l*j**6 - 22*j**2 + 14*j**2 wrt j.\nAnswer: -480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the second derivative of f**4\/12 - f**3\/6 - f**2\/2 + f. Let n(o) = 58*o**2 + 8 + 34*o**2 - 410*o + 412*o - 4 - 97*o**2. Determine n(r) + 3*u(r).\nAnswer: -2*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 455*x + 449*x + 467*x + 454*x - 1840*x.\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1121 = -12*m + 20849. Differentiate -135 + 1644*i - m*i - 162*i**2 wrt i.\nAnswer: -324*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**2\/4 + 189*g\/2 - 2793\/4.\nAnswer: 3*(g - 7)*(g + 133)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1, 31, 2, 25, -555 in ascending order.\nAnswer: -555, -3, 1, 2, 25, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/21600 and 13\/20.\nAnswer: 21600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 2*f**3 - 3*f**2 + 1. Suppose -2*z - 40 = -112. Let l be 1\/(-4) - z\/(-16). Let i be q(l). Solve 0 = i*w + 2*j + 23, 3*j + 5 = 5*w - 2*j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 194*u**2 + 352*u - 350*u - 250*u**2 - 3 in the form m*u + o*u**2 + g and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 83 and 2822.\nAnswer: 2822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*d + d**2 + 51*d + 0*d**2 + 2*d**4 - 38*d - 52*d**3 to the form u*d**4 + c*d**2 + x + f*d + o*d**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.9 and 167146203.\nAnswer: 167146202.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of (-152*3\/(-18))\/((-7)\/(-735))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 75*b**2*g**2 + 20*b**2*g - 11*b**2*j**2 + 36050*b*g**2*j**2 - 138*b*g*j wrt j.\nAnswer: -22*b**2 + 72100*b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 13\/8 of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (25 - (3 - -13)) + (0 - (4 - -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-15)*115 + -24 + 8.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1323.637 - 1323. Let b = j + -0.63701108. What is b rounded to seven dps?\nAnswer: -0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.6, -97, 3, 0?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -19*j. Let m(p) = 11675367*p. Give y(m(a)).\nAnswer: -221831973*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 100*h**4 - 1755718*h**3 - 419744651*h**2.\nAnswer: 2400*h - 10534308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*z + 13*z - 4*z - 4*z + 5 + 9*z.\nAnswer: -2*z + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -46 - -48. Suppose -b - 3*n = -70, -65 = -u*b + b + 2*n. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.001285 and -0.03.\nAnswer: -0.028715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 3*z - 13. Let h be k(1). Let b be (-6)\/(-4) - 55\/308*7. What is the nearest to b in h, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.95 - 1. Let r = -2.75 + 1.7. Let u = r - n. Is u < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.4499252 litres?\nAnswer: 449.9252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 494014 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -6. Suppose -2*y + 82 = -5*q, -5*q - 2 = -y + 74. Let g = -19 - -25. Let b(i) = -i**2 - 14. What is g*b(l) + q*d(l)?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 22190626 divided by 140447\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -2*j**2 + 2*j. Let g be c(2). Let t = 25 + -25.1. What is the closest to t in -5, 8, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9274 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 437 and 310194.\nAnswer: 7134462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**(-1)*d)**9)**(-3\/19)*(d**(1\/5)*d*(d\/(d\/(d*d**(-4)))*d)\/d)**(-2\/15) assuming d is positive.\nAnswer: d**(-1911\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l - 57 = -11*l. Let n(g) = -g**3 - g**2 + 95. Let i be n(0). Calculate the highest common factor of l and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (361\/3 + 1)*3. Suppose -i + 0*i + y = 0. Let p be 4\/(-18) + i\/18. Solve -j - 3*j = -p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -0*w - 65. Suppose -u - l = -52 + w, 2*u - 4*l - 66 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2808 - 2*a**3 + 2808.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2 + 14*v - 11. Suppose 2*q = -0*q + 26. Let n be k(q). What is the third derivative of 0*u**3 + 0*u**3 + 0*u**3 + 3*u**4 + 6*u**n wrt u?\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 836334570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 131194, 131197, 131202, 131209, 131218, 131229?\n\"Answer: m**2 + 131193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 6 = -0*y. Suppose -2*t - 10 = -2*f + 4, -4*t - 18 = -y*f. Which is greater: -3\/2 or t?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21.105 * -182\nAnswer: 3841.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 6*w + 3. Let c(f) = -9*f - 5. What is -5*c(t) - 8*z(t)?\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 - 68. Let c = y + 131. Are 63 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 - (-3 + -29 + 39)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/17  (b) -3  (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -4 - 8 - (-49 - (-31 + 3)) - 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1390.7 + 1178. Let s = -195 - x. Let a = -18 + s. What is the closest to 1 in a, 2\/11, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c**5\/8 - 3*c**4\/8 - 3*c**3\/4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 198167026 a multiple of 2072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(56) - (sqrt(6776) + 2*sqrt(6776))) + -3*sqrt(1400))\/((-2*sqrt(64)*6 + sqrt(64))\/sqrt(8)).\nAnswer: 47*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 41693.09mg?\nAnswer: 0.04169309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 648*b - 27*b**2 + 3\/8*b**3 - 5184.\nAnswer: 3*(b - 24)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*o - 72 = 4*o. Let p be (-10)\/2 + (-4)\/2. Let z = 3 - p. What is the least common multiple of z and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3613033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 39308575 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: Three letters picked without replacement from {f: 8, s: 3}. What is prob of picking 1 f and 2 s?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k - 5. Let p be t(2). Let r be (504\/40)\/(p\/(-10)). Let g be r\/4*(-16)\/(-12). What is the highest common factor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15751 is divided by 177?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9*x**3 - 56 - 19*x - 3*x + 9*x**3 + 2*x**4 wrt x?\nAnswer: 8*x**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than -10\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 953409?\nAnswer: 3, 199, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t**3 - 354*t**2 + 7425*t + 57942 = 0 for t.\nAnswer: -6, 37, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10635 by -5.\nAnswer: -2127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 3*k - 69 = -30, k + 41 = 3*h. Let p be -7 + 5 - (-7 + -2). Suppose 2*o - 5*t = -p, -3*t = 4*o - t - 22. Solve -o*l + h = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u + 311 - 377 - 17*u + u**2 + 3*u. Let g be v(-5). Solve -5*y - f = -g, -2*y + 4*f = 3*y - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38 = 10*x - 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -117*k + 117*k - 8*k**2 + 27*k**2. Let d(j) = 4*j**2. What is d(o(h))?\nAnswer: 1444*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 32563220171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -268453913 or -268453912?\nAnswer: -268453913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 90 and 460458?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18607\/714 - 1510\/51. What is the common denominator of s and 25\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 138204399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -5043 (base 6) to base 2\nAnswer: -10001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 + 2*a**2 + a. Let w be t(-1). Let g be (-3)\/2 - 406\/(-116). What is the closest to w in g, 0.2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (3\/(-9)*-6)\/((-2)\/(-59))?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5)\/40 + 39\/440. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 2) + 6 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*c**3 + 9*c**3 + 3*c**2 - 3*c - 1 - 23*c**3 to j + a*c**3 + g*c**2 + m*c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (2 - 3) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 2*z - 2. Let o(r) = -3*r + 4. Let j(d) = 5*g(d) + 2*o(d). Let m be j(1). Solve 3*k + m*k - 10 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 + 27. Let q = z - 18. Put q, -4, -6 in decreasing order.\nAnswer: q, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39112421147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13 + -11. Suppose -4*f + 12 = 0, -z*i = -5*f + 8 - 35. What is the highest common divisor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 26 = -4*h, -6220*k + 2*h - 16 - 144 = -6246*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*j - 10*j + j + 2 - 3638*j**3 - 28*j**2.\nAnswer: -3638*j**3 - 28*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.235 - 0.23500318. What is q rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = r - 5*r + 3*a, 0 = -5*r - 3*a + 45. Let y = r - 7. Suppose 3 + 0 = -3*j. Does j = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nzwnoewzounn. Give prob of sequence zz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 5*t - t. Suppose -g + t*m + 1 = -0*g, -g + 4 = -m. Suppose -g*p + 230 = -515. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 310055 is divided by 1403?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 3, 0.3, -127, -3 in ascending order.\nAnswer: -127, -3, -0.3, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, s: 4, j: 4, u: 7}. Give prob of picking 2 z and 2 u.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18 - 78 + 201 - 2*b - b**2)*(-19*b + 19*b - 4*b**2).\nAnswer: 4*b**4 + 8*b**3 - 564*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79888?\nAnswer: 2, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k. Let y = -6 - -8. Let z(l) = 8 - 8 - y*l + 0*l. What is z(a(c))?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 + -57?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -245560 divided by -7016?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 408 is divided by 103?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -13, 1 in decreasing order.\nAnswer: 1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**2\/3 + 2702*l\/3 - 66576 = 0 for l.\nAnswer: -2774, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 175.5 - 175.45. Let f = -11 - -6. Let x = -7 - f. Sort 1\/7, k, x in decreasing order.\nAnswer: 1\/7, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1216) - (sqrt(1216) + sqrt(1216) + 1 - sqrt(1216))*3 - sqrt(1216)*-1*-4)**2 - (-4 + (3 + sqrt(1216))*3)) + -4.\nAnswer: 264*sqrt(19) + 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.706465 rounded to one decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u and 1 b when four letters picked without replacement from {s: 2, u: 4, b: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of 886666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 20137393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/3 - 270\/81?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 3*z - 78 = -5*c, z = -2*c - 26. Sort 5, z, 3 in descending order.\nAnswer: 5, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/412 and -99\/8.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -13 + 2337\/4104*24\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**5 + 1340*x**4 + 153036*x**3 + 6320692*x**2 + 41440928*x.\nAnswer: 4*x*(x + 8)*(x + 109)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5 + 337*w**2 - 8*w**4 + w**4 - 337*w**2 wrt w?\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -7*w - 1. Let v be y(-1). Let g(h) = h**2 + 11*h. Let i be g(-11). Suppose i = -f - f + v. Solve f*l + 12 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-two fifths of a kilogram in grams?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2977.1 + 3.82\nAnswer: 2980.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.2  (b) 0.4  (c) -10243  (d) -0.1  (e) 1\/7  (f) 1\/9  (g) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 274.17364 to the nearest integer.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 115\/24 and -49\/492.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 155 a factor of 1583896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -121275404, -242550814, -363826222, -485101628?\nAnswer: -606377032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 368919 is divided by 4313?\nAnswer: 2314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2787849610.260078 - 2787872784.6. Let i = 23173.9 + n. Let h = -0.44 - i. What is h rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-f - f - 3*f)*((-1 + 2 + 1)*(-4 + 2 + 4) + 1 + 1 - 4) to the form z + g*f and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 133 and -3.\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4470 = 3*n - 6*x - 4476, 2*x + 22 = 3*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (14\/1)\/(4\/(-6)). What is the lowest common multiple of 24 and (-8)\/(-28) + (-99)\/r?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -v - 1614 - 537, 0 = -2*k - v + 859. Let a be ((-45)\/(-6))\/((-546)\/(-1560) - 8\/(-20)). Calculate the highest common factor of a and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2150 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/18 and -109\/294?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(156)\/(sqrt(96)\/sqrt(8)))**2 - sqrt(13)) + sqrt(13) - (sqrt(832) - sqrt(13))**2*-3.\nAnswer: 1924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 62.5 - 63. Which is the closest to -2?  (a) -3  (b) 0.4  (c) z  (d) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14*i + 5*i + i**3 - 50 + 6 + 3*i**3 - 2*i - 51*i**2 wrt i.\nAnswer: 24*i - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**3 - 3*m**2 + 2*m + 8. Let n(l) = 4*l**2 - l - 9. Let w(k) = 3*n(k) + 4*u(k). Let c(v) = v**3 - v - 1. Calculate -9*c(s) - 2*w(s).\nAnswer: -s**3 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 3*i = -4, 0 = 2*s + 3*s + 4*i - 39. Suppose 9*h - s*h = 4. Determine m, given that -3*m - 5 - m**h + 10 - 1 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110 + -11010100000011011101?\nAnswer: -11010100000011100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5842612 litres to millilitres.\nAnswer: 584.2612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -6*n**2 - 24*n + 5. Let y(h) = h - 1. Calculate t(a) + 2*y(a).\nAnswer: -6*a**2 - 22*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -2*t**2. Let w(q) be the second derivative of 5*q**3\/6 - q**2\/2 + 4*q - 1. Give w(x(j)).\nAnswer: -10*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -32 - -34. Suppose -6*x**2 - 5 - 9*x**2 + d + 23 - 5*x**3 = 0. What is x?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17995 - -17990. Let x(j) = -j + 2*j - 1 - 1 - 3. Calculate x(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**3 + 24*l**2 - 44*l + 13. Determine g(22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 18*f - 49. Let h be l(3). Sort -5, -8, h, 3.\nAnswer: -8, -5, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 k, and 1 w when three letters picked without replacement from {e: 4, p: 1, s: 3, k: 1, w: 10}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 13 = 2*s - 0*s, -2*a + s = -6. Let i(m) = a - 1 + 3*m + 1 + 0. Let n be (-2)\/(-25) + (-4)\/100*52. What is i(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o - 3*c = -2*o + 71, -26 = 2*o + 2*c. Let g = 33 + o. Suppose 5*v - d - g = -4*d, 4*v + 4*d - 12 = 0. Solve 2*r - 4*t = -2*r, -5*t = -v*r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 123.7 + -2650\nAnswer: -2526.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 164.1723174s to weeks.\nAnswer: 0.0002714489375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t + 9. Let o be q(5). Suppose -k = -0 + o. Let a be (-6)\/(-10) - (-12)\/30. Sort k, a, 0.5 in decreasing order.\nAnswer: a, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vi when two letters picked without replacement from {i: 1, d: 1, v: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 55, 59, 63?\n\"Answer: 4*b + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 14168937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1, 9, 33, 79, 153, 261, 409, 603?\n\"Answer: j**3 + 2*j**2 - 5*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**2 + 5*n + 1. Let d be w(-5). Suppose -3*y + l = -2*l - 21, -y + 3*l = -d. Let f = -23 - -33. Calculate the highest common factor of f and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -920 or -917?\nAnswer: -917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from bpbvvpbvpbppppv.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aacc when four letters picked without replacement from {c: 2, a: 18}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 141636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 366759287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 336.262 + 0.738. Let j = z - 337.02. Which is the nearest to j?  (a) 2\/3  (b) -1\/4  (c) -2\/13  (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 804732 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 0*z - 62 = 0. Suppose 5*c = 7*c - z. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the third derivative of n**5\/120 + 13*n**4\/24 + 169*n**3\/12 - 20*n**2 + 2*n. Factor u(b).\nAnswer: (b + 13)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5126922, 20507675, 46142264, 82030689, 128172950, 184569047?\nAnswer: 251218980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 57 + 68 - 54 - 16*c**3 wrt c?\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.605 - -0.115. Let t = 0.02 - h. Round t to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32, 85, 168, 275, 400, 537, 680?\nAnswer: 823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-324)\/24 - -18)\/((-513)\/(-9))?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 less than 89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -48.8416 and -31.\nAnswer: 1514.0896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 16 = -2*i, -5645*u + 25 = 5*i - 5650*u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the first derivative of 2\/35*k**5 - 4 + 0*k**2 + 1\/7*k**4 + 2\/21*k**3 + 0*k. Determine g, given that q(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2304.9 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 672481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9580201*i**2 - 28740582*i**2 + 9580188*i**2 + 9580195*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5428.17 - 5393. Let d = q + -35.166826. What is d rounded to four decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -56 - (-6 - (1 - -6 - 7)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 - 3)*(0*t**4 - t**4 - t**4) + 5*t**4 - 10*t + 10*t + 19*t**4 + 15*t**4 - 5*t**4.\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 36\/16 + 1\/(-4). Solve -4*d + 2*d - z*m = 2, 3*d + 4*m = -5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 - 12*d**2 + 166*d - 603. Give f(-21).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -3*k - 22. Calculate the remainder when 3 is divided by q(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**2)**(-22)\/(a**4\/(a\/(a\/((a**7\/a*a)\/a)))))**(-20) assuming a is positive.\nAnswer: a**840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2722.265 - 0.796.\nAnswer: 2721.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, w: 1}. What is prob of sequence wo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*v - 5*v = -188. Solve -w - 6*w - v*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -61 greater than 22\/361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105*u - 56*u + 1610 = 0. Solve 8*b - u*b = -3*o + 10, 0 = 2*o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 - -5. Suppose s*v + 11 = -3*h, -4*h - h = 5*v + 15. Suppose v*y - 2*d - 379759 = 120241, 0 = -d. Round y to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 208 and 16968?\nAnswer: 441168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8647b (base 16) to base 4.\nAnswer: 2012101323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20230303 (base 4) to base 3.\nAnswer: 1210212211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c + 1. Let i(g) = 139*g**3 + 5*g - 68*g**3 + 9 - 68*g**3 - 3 - 1 + 7*g**2. Determine i(p) - 5*o(p).\nAnswer: 3*p**3 + 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i**2\/2 + 1563*i\/8 - 4932 = 0.\nAnswer: 137\/4, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 8*n + 15. Let u(r) = -r - 1. Let q(s) = -i(s) - 6*u(s). Let p be q(-5). Which is the closest to p?  (a) 0.2  (b) 0.3  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 872*m + 24 = 884*m. Find n, given that -7\/9*n**4 + 13\/9*n + 1\/9*n**5 - 22\/9*n**2 + m*n**3 - 1\/3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 2*f + 18 = 4*x, 5*f - x = -10. Let u be (f + (-3)\/(-5))*-5. Solve -2*v = -0*v - u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 135790 and 268990?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -320, -1734, -4272, -7964, -12840, -18930?\n\"Answer: -5*p**3 - 532*p**2 + 217*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p - 5. Let o be d(-5). Suppose -3*r - 5*w = -o*w - 132, -5*w = r - 44. Calculate the greatest common factor of 66 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -53*q - 1 - 49*q + q**4 + 100*q + 2*q**2 as m + v*q**4 + y*q + z*q**3 + b*q**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1116 divided by -4.\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) 0.2  (c) -4  (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 15*x + 2*x + 5 + x**2 - 9*x. Let v be p(-6). Suppose -4*n - 17 = 4*y + y, n - 5*y = 2. Which is smaller: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4404 + 111 = -301*z for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w + 1. Let f(b) = -b**2 - 5*b - 11. Let n(r) = f(r) + 5*v(r). Let h(m) be the first derivative of n(m). Let z(u) = -5*u**2. Calculate z(h(l)).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/3*(-72)\/32 - -69. Suppose 5*k = k + 148. Let a = b - k. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 300 = -3*k + 9*k. Let h(r) = 13*r**2. Calculate the remainder when k is divided by h(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*a + 184 = -158 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -5*l**3 - 57*l**2 - 178*l - 132. Let c(x) = 4*x**3 + 57*x**2 + 178*x + 130. Let p(n) = -5*a(n) - 6*c(n). Factor p(m).\nAnswer: (m - 60)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) 2  (c) -6.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0224692 weeks to seconds.\nAnswer: 13589.37216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 + 150*r**2 - 3273*r - 5894. What is d(123)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + -2. Suppose -83 = -2*z + 13. Let i = z - 431\/9. Which is the third smallest value?  (a) m  (b) -0.3  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**2\/6 - 175*r\/3 + 6125\/6.\nAnswer: 5*(r - 35)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 403 + 596. Let a = p - 974. What is the remainder when 299 is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1297, -1303, -1311, -1327, -1357?\n\"Answer: -a**3 + 5*a**2 - 14*a - 1287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1046 and -75894.\nAnswer: -76940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2  (b) 0  (c) 5  (d) 105  (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -101*j*r**4 - j*r**2 + 10*r**2 - 2 wrt r?\nAnswer: -2424*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -291 = -7*u + 850. What are the prime factors of u?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/(-8)*(-26)\/8)\/(5\/50)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -197543 take away 4268?\nAnswer: -201811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10453501139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*j = -11*j + t - 63, -j - 38 = 4*t. Which is the third biggest value?  (a) 0.4  (b) 4  (c) 2\/13  (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3 and 104308?\nAnswer: 312924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l - 3. Let q be c(4). Let a be (-2)\/(1\/(1 + -2)). Suppose -4*z + 3 + q = -2*k, 5*z = 4*k + a. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.03 and -1.4?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(-5) - (-21)\/55. Let q = 2.865 + -2.365. Which is the second biggest value?  (a) r  (b) 1  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -456230*l + 16880509. Give h(37).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x. Let o(f) = -5*f - 3*f**3 - 37*f + 23*f + 2 + 15*f. Let l(k) = k**2 + 3*k + 1. Let n be l(-3). Determine n*o(w) + 4*c(w).\nAnswer: -3*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 15*w**3 - w - 1. Calculate k(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 109 + a + 0 - 37 - 5*a - 72.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.089 - 0.089. Which is the closest to -1?  (a) -0.4  (b) -0.9  (c) -1  (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 186 - 90. Let p = 95.535 - v. Let r = 1.525 - p. Round r to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 115194269.\nAnswer: 3049, 37781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 61, 63, 65, 67, 69?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (5 + -11 + 8 + -5 - 1) + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 - (-820)\/(-824))\/((-1)\/(-4)). Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8102*98.\nAnswer: 793996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29409576.\nAnswer: 2, 3, 7, 31, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**2 + 6*s. Is 2 a factor of k(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19a6cc1 (base 14) in base 7?\nAnswer: 213366231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -80.187749 rounded to the nearest integer?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 216 is divided by 118.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2489)\/76 + 0 + (-1)\/4. What is the smallest value in -1\/7, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3 and 394563?\nAnswer: 394563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k**(-5)\/k)*k\/(k\/((k**4*k)\/k*k)))\/((k**(-8)*k)\/(k\/(k*(k\/k**(-1))\/k*k*k*k))) assuming k is positive.\nAnswer: k**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 5*m - 9. Let y(g) = -g + 1. Let z(q) = -h(q) - 4*y(q). Let t(w) = -3. Suppose 3*n + p = 7, -27*p + 25*p - 16 = 0. What is n*t(b) + 3*z(b)?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/21*-3*26\/(-52)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1908 - 2*a**2 + 3*a**2 + 948.\nAnswer: a**2 + 2856","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-3)*(-2)\/(4*1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -91  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 0.7631822 hours?\nAnswer: 45.790932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-31*4\/(-4))\/(-1). Let c = a + -8. What is the units digit of c*(24\/(-9))\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**3 + 4*k**2 - 4*k - 1. Let i be t(3). Let s be ((-15)\/(-10))\/((-3)\/i). Let -l**3 + 4*l**3 - 2*l**3 + l**s = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-200)\/1044*21 - -4. Let y = 39059\/181830 + -183\/418. Let i = y - c. Put 4, 0.5, i, -1\/2 in decreasing order.\nAnswer: 4, 0.5, i, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24 + 12 + 50 - 30?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00142657 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 737 or 698?\nAnswer: 737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1595145127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 425*w**3 + 3*w**2 + 2*w + 155907.\nAnswer: 1275*w**2 + 6*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1668508110 a multiple of 4965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 132241390*h**2*l**3 + 644*h**2*l**2 + 24*h**2*l + 59*h*l**2 wrt l.\nAnswer: 793448340*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1803)\/(-1202)*8\/(-15).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of -a**2 - 4*a + 11. Suppose 0*q - 6 = -2*q. Suppose 2*x - q = 3*x. Calculate j(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 175 = 5*f - 3*j, 0 = -f - j + 3*j + 42. Suppose -4*q - 3*t = -t - 52, 4*q + t = 48. What is the remainder when f is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3 or -2\/13209?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**2 - 10*w - 21. Let y be v(-5). What is the third derivative of 23*p**3 - 19*p**2 + y*p**2 - 9*p**2 wrt p?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 37 + -35. Let m be 5\/(-1)*(-4)\/8*d. Suppose 23 = m*v - 52. Calculate the highest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 42, 163, 358, 621, 946, 1327?\n\"Answer: -l**3 + 43*l**2 - l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*m - 19*m - 13*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:23 PM and 4:36 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 70 and 4319?\nAnswer: 43190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 337237 at least -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -291 - -252 - (-27 + -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 33\/362 and 43\/28.\nAnswer: 5068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 3 + 5*-2*(((0 + sqrt(171) - sqrt(171))*-2)**2 + 3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 23 - 23. Suppose m = -0*w + 2*w. Solve 4 = -s - w*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7226 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/6, -1487, 7, 2\/35?\nAnswer: -1487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 + 10. Suppose 4*l - 13 - 35 = -p*x, -2*x = l - 8. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 107\/53835 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12226 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 2 j when four letters picked without replacement from pjzpppjjppjpp?\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2564262.\nAnswer: 2, 3, 43, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 40103283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 7 - 3 + (-2 - 2 + 2)*(-2 + 2 + 3))*(1 - 1 + a).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n - 2*n + 3*n)*((0*n + 2*n - 3*n)*(2 + 4 - 5) + 9*n - n - 3*n).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -166885 (base 10) to base 12.\nAnswer: -806b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.07, -710.02, -3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c + 1. Let w be p(8). Let u(q) = 60 - 34 + 0*q - q**2 - 30 - 9*q. Calculate the lowest common multiple of u(w) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x - 1. Let v be c(-3). Suppose -4*a + 4*f = -16, 2*f + 3*f - 10 = -5*a. Let j = -4 + a. Sort v, j, -4 in descending order.\nAnswer: v, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 45\/341 and 0 + 1460\/(-1210) + 1.\nAnswer: 3751","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -24 + 14. Let u = 49 + x. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/19, 7, 1, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((1 + (sqrt(272)*-1*4 - (-5 + (sqrt(272) - (sqrt(272) + 1)))))*-4 + -5)**2.\nAnswer: -4224*sqrt(17) + 70725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s + 14 + 18. Suppose 0 = 3*a + s - 23. Solve x = 2*x - a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 - -5. Let z = 1 - o. Let d = -0.464 + 5.464. Which is the closest to 1?  (a) -5  (b) z  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -20*n + 19*n. Let s(u) be the third derivative of u**5\/60 - 2*u**3\/3 + u**2. Let d(y) = 3. Give n*s(t) - 3*d(t).\nAnswer: -2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 17, 40, 71, 110, 157, 212, 275?\n\"Answer: 4*b**2 + 11*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 154990 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t**4\/13 - 343762*t**3\/13 + 14772054714*t**2\/13 - 44313757838*t\/13 + 29542046884\/13 = 0.\nAnswer: 1, 2, 85939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -6*v + 6 - 6*v**2 + 3*v**2 + v**3 - 1. Let u be a(4). Let l be u\/18*-4*6. Solve -5*m - 3*n = 11, 0*m + l*n = 2*m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -2\/135, -6, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2192 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13516 is divided by 4502?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -182 - -186. Suppose p*q = -23*q + 54. Which is the second biggest value?  (a) q  (b) 5  (c) 0.54  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92 = 17*d + 6*d. Which is the smallest value?  (a) 1\/6  (b) d  (c) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 45 + -18. Let s = 35 - l. What is the smallest common multiple of s and (-57)\/(-9) - 2\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -57, 0, -1 in descending order.\nAnswer: 0, -1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -12, 1\/8, -0.5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -15 + -2 - (67 + -78)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kyykkyyykkkk. Give prob of picking 3 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**4 + 5*x**4 - 3*x**4)*(-1 + 1 - 3) + 3*x**4 - 2*x**4 + 0*x**4 - 2*x**4 - 12*x**4 + 0*x**4.\nAnswer: -22*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 3*f**3 + 4*f**2 + 360*f + 1076. Give m(-3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -4135 (base 9) to base 2\nAnswer: -101111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 15399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.07 + 0.07. Sort y, 0.2, 5, 0.07 in descending order.\nAnswer: 5, 0.2, 0.07, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -206*d - 7. Is h(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*t + 6*t + 63. Let c = -4 + t. Calculate the remainder when c is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 AM and 7:11 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20280 = 746*z - 5901 + 5293 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4521 + -4492. Calculate the remainder when 439 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 74 - 30 + b - 24. Let r be w(12). Does 25 divide (8\/(-2) - -1) + r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3140 and 130869.\nAnswer: 410928660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 1407 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2076 + 1?\nAnswer: -2075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7496553 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 22 - 12 - -5 - 4\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 66958953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 138773067.\nAnswer: 3, 46257689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43 = 13*u - 9*u - v - 51, u = -168*v + 675 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 443155027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Express 275210 - 4*a**3 + 37*a**4 + 3*a**2 - 275210 in the form m*a + z + x*a**4 + f*a**3 + w*a**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 + 31 - (7 + 30).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kbkkkbkkbbbkk. What is prob of picking 2 b?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -52, -97, -142?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 - -520?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 189072\/1697280 - (6\/306*6 - 0).\nAnswer: -1\/160","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13 and 100940216.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*u**4 + u**4 - u + 0*u - u**3 - 2 to the form r*u**2 + y*u**3 + m*u**4 + b + j*u and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -846 + 848 - 168\/86?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2677 is divided by 1310?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 2*l - 7 = s, 5*s + 10 = 5*l. Find the third derivative of -5*k**2 + s*k**2 + k**2 + 10*k**4 - 7*k**2 wrt k.\nAnswer: 240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/4 in -1\/2, 0, -4, 21, 0.89?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes after 1:43 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -8024 (base 9) to base 3\nAnswer: -22000211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1202*k + 14694 = 6280 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -6\/6350929 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -2, 0.2, 2, 2215?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - -12111323021022?\nAnswer: 12111323021020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (46*x - 46*x + x**3)*(1 - 1 - 2*x) + (2*x + 2*x**4 - 2*x)*(1 - 3 + 1) in the form z*x**2 + m*x**4 + t + y*x**3 + d*x and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 274*g - 4320 = -86*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {t: 1, n: 1, x: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 + 1. Let z(g) = 15*g**3 + 2*g**2 + 2. Give -4*f(u) + 2*z(u).\nAnswer: 30*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1 + 3*d - d**3 + 1 - 3 + 3.\nAnswer: -(d - 2)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 - 14*y**2 - 111*y - 846. Give v(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 116403 < 116403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2575*k + 2466*k = 5050*k - 513 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 304899629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 207 and 4485.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -5*v - 5. Let j(z) = 4*z + 5. Suppose g + 83 = 80. Give g*j(d) - 2*c(d).\nAnswer: -2*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - -1ea360?\nAnswer: 1ea35b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 10005 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 3 - (80 - 28 - -6).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0\/(-1)*(77\/44 - 2). Solve 2*i + 4 = -4*g - 0*g, y = -3*i - g - 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 244\/403 - 14\/31. Let d = -0.5 + -0.1. Let o = d - -0.7. Are o and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**2 + 29637*h - 184130166.\nAnswer: 3*(h - 4322)*(h + 14201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from vecxcpnxvcvxppppv.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 8801374 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 57738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*h**4 + 3*h - 15 - h**2 - 4*h**4 + 15 + 8*h**3 to the form j*h + f + l*h**3 + b*h**2 + z*h**4 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4339546 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 660*m**4*x**3 - 204*m**3*x**3 - 166971*m**2 - 3*x**3 wrt m?\nAnswer: 15840*m*x**3 - 1224*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 10, 967, -2\/13, 4, 1\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -402, -803, -1194, -1569, -1922, -2247?\nAnswer: -2538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.012982 to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand t - 5*t + 3*t + (3 + 1 - 2)*(-10*t + 5*t - 3*t).\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*t + 5*p, -1 + 17 = 4*t + 4*p. List the prime factors of t\/21 + 164\/14.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 337958 greater than 337920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4*t - 4*t - t**2)*(2 + 1 - 1) - 411*t**2 - 264*t**2 + 60*t**2)*(-3*t - 2*t**2 + 3*t).\nAnswer: 1234*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 957.0491 centuries in millennia?\nAnswer: 95.70491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -123647\/110 + 5631\/5. Suppose 2*v - 1 = v. Calculate the common denominator of (-29)\/(-14) + v - 1 and n.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 6*i - 3*i + u, -4*u + 36 = -4*i. Let d(n) = -5*n - 47*n**3 + 5*n**2 + 3*n - 5 + 48*n**3. Let x be d(i). Solve t + x - 3 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d + 9. Let l be t(-8). Let b be 24\/(-3)*(-1)\/2. Suppose 5*q - 32 = -k - 2*k, -2*q - 4 = -3*k. Solve q*i = s - 0 + l, b*s - i + 19 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11507 + 723*w + 11507)*(-2*w - w + 4*w).\nAnswer: 723*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 6*f + 3*f - 687, p = -f + 235. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 853 is divided by 137?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((4*36\/80)\/(-3))\/(-12)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 148*d - 36 = 130*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 3*v - 5 = 0, 2*v - 2 = 2*z + 4*v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -1 + q + 0*q - 39*q**2 + 43*q**2. Let m(z) = 3*z**2 + z - 1. Let r be (-76)\/(-6) - 4\/6. Suppose r = 2*o - v, o + v = -0*v. What is o*j(t) - 5*m(t)?\nAnswer: t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 484, -11, -508, -1007?\n\"Answer: -z**2 - 492*z + 977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 960406?\nAnswer: 2, 480203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add -942.637 and 0.3.\nAnswer: -942.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -244342533*a**2 + 389552722*a.\nAnswer: -488685066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/50 - 11264\/(-800))\/(21\/(-84))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0\/(-4) + 8)\/(4\/6). Suppose -4*k + 16 = -0*k + 5*q, 3*q - y = -3*k. Solve -5*w = -k*w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101167267309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) -0.3  (c) -13427\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/j**12*j*j**(-23)\/j*(j**13\/j)\/(j\/(j**21*j)) assuming j is positive.\nAnswer: 1\/j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -3. Let d(q) = 144*q + 192. Give -d(u) - 64*l(u).\nAnswer: -144*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6 or -8.5?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3471000 rounded to the nearest ten thousand?\nAnswer: 3470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.36 + -1.64. Let j = 5 + -3. Sort -1\/2, j, y in descending order.\nAnswer: j, -1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.4 times -0.219?\nAnswer: -0.3066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 363594478.\nAnswer: 2, 13, 41, 341083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhdp when four letters picked without replacement from {h: 7, d: 10, p: 1}?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -c (base 16) to base 13\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*p**2 + 0*p**2 + 0*p**2)*(4 + 1 + 1)*(-4*p - 3*p + 5*p) + 0*p**2 + 0*p**2 + 4*p**3 to the form q*p**3 + h*p**2 + k + f*p and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) -1\/3  (c) -27  (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 13\/(-26)*(0 - 8). Suppose -n*m + m + 2*i + 16 = 0, 0 = -4*m + 4*i + 24. Let w(y) = 29*y + 11. Is w(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: a (base 16) to base 7\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -72, -32, 36, 132, 256, 408?\n\"Answer: 14*j**2 - 2*j - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) -0.6  (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*q + 134616 = 19*q - 4*z, 2*q + 5*z - 67322 = 0. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jgcpr. What is prob of picking 1 g and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -105 divided by -3\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 + a03?\nAnswer: 9fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 4*g + 186. Let n(p) = -3*p - 184. What is 3*n(k) + 2*r(k)?\nAnswer: -k - 180","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-70)\/3)\/(10\/270*12\/30*-15)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 111382710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(16)\/(sqrt(8) + sqrt(128) - sqrt(8))*5)**2.\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 430259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 16015913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 37*n**2 - 6*n - 7. Let d be u(-2). Suppose 0*t - d = 9*t. Find the common denominator of ((-85)\/3)\/((-24)\/9) and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 0 - 2 + 0 - 3*u. Let l be j(-5). Let o = -6 + l. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1.1, 4, 6\/7565?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 13414 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**2 + 2058070*v + 211782606245.\nAnswer: 5*(v + 205807)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 44 - 3?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 385*f**2 + f**3 - 14 - 2*f - 191*f**2 - 196*f**2 + 2*f**4 as y + v*f + l*f**2 + d*f**3 + w*f**4 and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.544001 litres to millilitres.\nAnswer: 544.001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2725?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1580 and 1084.\nAnswer: 428180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 146123 and 1.\nAnswer: 146123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -256 divided by -34.\nAnswer: 128\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**5)**(-3\/8)*t**8*t*t**13*t*t)**(-50) assuming t is positive.\nAnswer: t**(-4425\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2\/8 + (-175)\/(-4) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (40 + (-4560)\/96)\/(5\/(300\/(-9))).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6072 - 52325 - 17226 = -1201*x + 13251 for x.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 151\/2724 and 75\/29056?\nAnswer: 87168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2815701 is divided by 3207?\nAnswer: 3162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*n - 3 + 3 + 3 - 3 - n + (2 + 2 - 5)*(-2*n + 4*n - n) + 2*n - n + 4*n)*(3 - n - 3).\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 2)*(4*c - 4*c + 2*c**2) + 2*c**2 + 0*c**2 - 3*c**2 + 4*c - c**2 - 4*c + (5*c - 2*c - 2*c)*(-2*c - 9*c + 2*c).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + 7. Differentiate -1 + u - v*u + 2*u + 0*u wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1020*c**2*d**3 + 3*c**2*d**2 + 2972*c**2*d + 954*c*d**3 - 2*c*d - 20*d**3 + 397*d**2 wrt c?\nAnswer: -2040*d**3 + 6*d**2 + 5944*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 845581013 and 8098?\nAnswer: 4049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 PM and 3:57 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2*r. Let o(z) be the third derivative of z**7\/126 - 5*z**4\/8 - 18*z**2. Let h(d) be the second derivative of o(d). Give i(h(j)).\nAnswer: -40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 81900\/(-1350)*-3*(-4)\/(-14).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3001\/8 + -374. Factor 1\/8*x**2 + 3\/4*x + k.\nAnswer: (x + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 447 - 51 = 9*v. Suppose v = 8*l - 228. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -139 - 113. Suppose 3*u + 138 = 12. Let p = v + u. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*f**3\/7 + 45447*f**2 - 636249*f\/7 + 318123\/7 = 0. Calculate f.\nAnswer: 1, 106041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*d + 22 - 10 + 5*d - 19 - 11*d in the form r*d + v and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1  (b) 4\/35  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2134356 (base 8) in base 3?\nAnswer: 1002001010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -49, -176, -375, -634, -941, -1284, -1651?\nAnswer: -2030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 89*u**2 + 4. Let d(z) = -447*z**2 - 19. What is 2*d(k) + 11*x(k)?\nAnswer: 85*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/122304 and -97\/1248?\nAnswer: 122304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 104*n - 105*n = 74671, 5*k - 186700 = -5*n. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: -5 + (-55)\/22*-8\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -23797110 divided by 9654\nAnswer: -2465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*w + y = -44*w + 16, -5*y = 5*w - 20 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 2*h - 30. Calculate i(-16).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/87 + (28353\/(-1131) - 4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -18*f + 14*f + 252, 504 = 4*g + 3*f. Suppose 4*w = w + g. What is the smallest common multiple of w and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 41502354 + 4?\nAnswer: 41502402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(2\/3))**(-43))**22 assuming r is positive.\nAnswer: r**(-1892\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11565.\nAnswer: 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -2*v**2 + v - 39. What is i(-4)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 q when three letters picked without replacement from qqqqqqqpqqqqpqqqqq.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 3 - 2)*(-o + o + 2*o).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -6\/8653, 11\/3 in ascending order.\nAnswer: -6\/8653, 2, 11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1100004 - -102?\nAnswer: -1044402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from kkfffkfffokffkkkkfff.\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 17*j - 14. Let y(u) = 2*u**2 + 11*u - 17. Let t be y(-7). List the prime factors of g(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from mmgmggjmmgjmdm?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 516930376 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.051 - -2.949. Put -5\/14, -0.4, n, -2\/13 in decreasing order.\nAnswer: n, -2\/13, -5\/14, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of -57*j**2\/2 + 18*j - 147. Differentiate l(a) with respect to a.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2 + 13*t - 16. What is the units digit of z(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5.17 times -2\nAnswer: -10.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59*m - 283*m + 341*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**3 - 2*m**2 - 1. Let n be v(-3). Calculate the greatest common divisor of 128 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {p: 1, y: 1, g: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1030672 - 3.\nAnswer: -1030675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.598158 to two dps.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k + 14*k + 20 = 5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in v**2 - v**3 - 8*v**3 + 4*v**2.\nAnswer: -9*v**3 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 143*j - 7373. Let r be o(54). Does 338 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 3*u**2 + 200*u + 201*u - 401*u. Let o(q) = q - q - 2*q + 4*q. What is o(k(c))?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21868, -43711, -65554, -87397, -109240?\nAnswer: -131083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1233*s**2 + 414*s**2 + s**3 - 667*s**2 + 854*s**2 - 5606*s**2 to the form p + q*s**2 + x*s**3 + w*s and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/8 of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(912) - sqrt(912)*-3) + sqrt(912)))\/((sqrt(432) + sqrt(432)*-3)*2)*5 + -5.\nAnswer: -25*sqrt(19)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 11.22 times 0.5\nAnswer: 5.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k + 4*m + 36, 5*m + 3 = -3*k - 18. Let b(u) = 4*u + 10. Let s be b(-7). Let g = k - s. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 247 + -7?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*a - 1560 = -58*a. List the prime factors of a.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:20 PM and 7:14 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14 + 19. Let p(d) = 9 - v - 6. Let u(x) = -x - 1. Give -p(z) + u(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (167 - 167 - 207*m**3)*(284 + 5*m**2 - 155 - 155).\nAnswer: -1035*m**5 + 5382*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -23 + 23. Solve 4*m - 4*j - 1 = -5, f = -5*m - 2*j - 26 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/(c**(2\/101)\/c))\/c)\/c**(21\/4))**44 assuming c is positive.\nAnswer: c**(-18975\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 215137 and 272422.\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d + 2*d - 4*d)*(-57*d + 27*d - 34*d) + (3*d + 3*d - 4*d)*(5*d - 4*d + d) + 2*d - 2*d + 2*d**2.\nAnswer: 134*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*g**2 - 6*g**2 + 3*g**2 + 33*g + 3*g**2 + 4*g**2 in the form k*g + h*g**2 + j and give k.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d\/d**(-12)*d*d**(-12)\/d*(d\/((d*d**11)\/d*d)*d*d)\/(d\/(d**(-8)\/d)) assuming d is positive.\nAnswer: d**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -269, -779, -1305, -1853, -2429, -3039, -3689?\nAnswer: -4385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/3  (b) 4  (c) 3  (d) 10\/27  (e) -0.1  (f) 337  (g) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3415222168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3 and 1333218.\nAnswer: 1333218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - 19 - 9. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**1)**(3\/5)\/(x\/x**(-10)*x*x**(-6)) assuming x is positive.\nAnswer: x**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 20372601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:21 PM and 8:14 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5324)*-2)\/sqrt(400))**2 - (3 + -6*(sqrt(11) - (sqrt(11)*5)**2))*-1.\nAnswer: -6*sqrt(11) + 42656\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 111\/49109368 and 27\/12277342.\nAnswer: 49109368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 7\/2 of a week?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 355 = -0*f. Calculate the common denominator of 1 + (-94)\/(-4) + 12 + (-4 - 12) and 0 - f\/16 - -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-10) - (-17)\/(-15). Which is the third smallest value?  (a) m  (b) 0  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -717*a + 721*a - 116. Suppose -3*c + 1 + 80 = 0. Let z = 59 + c. What is the remainder when z is divided by a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14 + -9. Suppose -4*u = a - s, 0*u - 5*a = -4*u + 23. Let b = u + 0. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7667 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 41854411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the third derivative of -11\/420*i**6 + 0 + 3\/392*i**8 - 2\/105*i**5 + 0*i**3 + 2\/245*i**7 + 0*i + 1\/21*i**4 + 3*i**2. Solve d(u) = 0 for u.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 192346760 divided by -192346760?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30948.33 tonnes to grams.\nAnswer: 30948330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 36940433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add -812 and 40157188.\nAnswer: 40156376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(15)\/(sqrt(5) + 6*sqrt(15)\/sqrt(3)) - 5*(sqrt(1536)\/sqrt(8) - sqrt(3))).\nAnswer: -244*sqrt(3)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/9 + (-6)\/9. Let t = 10641 - 10625. Which is bigger: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, 0.1, -3\/11, 3, -14 in increasing order.\nAnswer: -22, -14, -3\/11, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/2372 and -27\/20.\nAnswer: 11860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -8181310 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1649\/4 + -387\/4. Is 316 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -22, -108, -252, -454, -714, -1032, -1408?\n\"Answer: -29*a**2 + a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*c - 19*c - 14 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.0913 - -0.0087. Which is bigger: q or 0.0542?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 times 0.6622?\nAnswer: 0.19866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 127.000262 - 127. What is j rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 3*k + 8 = 0, 2*z + 2 = 3*z + 2*k. Suppose -z*d = -d - 11. Let q(x) = 2*x - 12. Let o be q(d). Solve 5*a - 20 = 5*y, 4*y = a - 0*a - o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -6\/11, -5, 3.16, -0.785?\nAnswer: -0.785","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.82 times 9?\nAnswer: -7.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 2*r**2 + 2*r - 3. Let v be l(0). Let n be ((-198)\/(-32) + v)\/((-40)\/32). Let b = -9\/5 - n. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 202549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1207, 5270, 19433, 41282, 70817?\nAnswer: 108038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the second derivative of t**9\/2520 + t**7\/630 - t**4\/2 + 8*t. Let q(g) be the third derivative of k(g). What is the third derivative of q(z) wrt z?\nAnswer: 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -7  (b) 4  (c) 1  (d) 1\/4  (e) -206\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 142 + 50 - 306 - 265 - 3*h - 145 to the form m + i*h and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/6 and -37\/1843?\nAnswer: 11058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 8:00 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -368 + 372. Let p = -2.1 + 1.8. What is the closest to y in 0.19, p, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 + 169*y**4 - 168*y**4)*(1 - 1 - 1).\nAnswer: -y**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 + (91 - 224) - 13?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 o when two letters picked without replacement from {z: 1, o: 2, h: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -15172 - -18585?\nAnswer: 3413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7245 (base 8) to base 6.\nAnswer: -25205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 217 + -172 + (9 - 53)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*f + 0*f + 4*f)*(64*f + 865 - 865) + 0*f**2 - 3*f**2 - 4*f**2.\nAnswer: -135*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 3*r = -1, 2*c - 2*r = -4*r - 18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 - 3*o**2 - 10*o + 54. What is h(4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 5*x - 3233 = 0, 7*x = -5*d + 4*x + 4025. Let s = -802 + d. Solve -2*z = -0*z - 4*k - 8, s = z + 3*k + 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -109*t - 10354. What is m(-95)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 22.2*-74052\nAnswer: -1643954.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 + -61 - (-33 - (-10 - -5))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 10474 + -3353?\nAnswer: 9121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-2) + (-3 - -229). Let p = j - -69. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u - 15. Let t be d(11). Let s(z) = z**2 + 5*z + 1. Let y be s(t). Let p = -0.5 - -0.3. Which is the nearest to -3?  (a) y  (b) p  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -3*g**2 + 44*g - 73. What is f(13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6*(-7 + 50\/6). Let i be c\/6 + -2 - 34\/(-6). Calculate the highest common divisor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11101 - 1110000100?\nAnswer: -1110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -5*t**3 - 28*t**2 + 2*t + 27. Determine q(-7).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7991 is divided by 86.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kzk when three letters picked without replacement from hchkqphphzkhz?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3603 + 7051. Suppose -6*v = -2*v + 4, 0 = -5*z + 3*v + p. What are the prime factors of z?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -167 - -167. Which is the biggest value?  (a) 0.13  (b) -14  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -33*x**2 - 60*x**2 + 44*x**2 - 62*x**2 as c*x + m*x**2 + w and give m.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 2*v**2. Let j(m) = 69 - 69 + 15*m. Determine j(g(t)).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -7*d - 23. Let s be p(7). Suppose -10*l + 8 = -8*l. Calculate the least common multiple of l and 12\/(-7)*(1 - s\/(-16)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 23827*o + 42292932. Determine j(-1775).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 157a50 (base 11) to base 4.\nAnswer: 323301212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 216 = 3*p - q - 334, 2*p = 2*q + 364. Let f = -105 + p. What are the prime factors of f?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the second derivative of y**2\/2 + 2*y. Let s(q) = q**2 + 3*q. Let g(u) = 2*h(u) + s(u). What is z in g(z) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 23446 and 94381873?\nAnswer: 188763746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + 1278?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the first derivative of -n**5\/5 - 4*n**2 - 3. Find the second derivative of j(w) wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, -1\/8, 232, 4\/5 in ascending order.\nAnswer: -4, -1\/8, 4\/5, 4, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 4*i + 5. Suppose 5*r + 29 = -y, -3 - 33 = y - 2*r. Let x = 27 + y. What is h(x)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 2 = 2*c - 2, 2*v - 4*c = -8. Solve v = -5*s - 5*n + 15, -s - 2*n + 1 = -0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 143\/70?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**4 + 1003*j**2 - 7*j**4 + 290*j**3 - 2747*j**2 + 5*j**4 - 2461*j**2.\nAnswer: -5*j**2*(j - 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -1 + -5 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 1502 = -5*x + x, -4*x = -3*m + 1490. What is x rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r - 3*r - 2*s = 4, r - 4*s = -2. Suppose -r*o = 2*o. Solve o = -a - 2*a - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d (base 15) in base 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2550)\/(-8) + (-25)\/(-20). What is the greatest common factor of w and 448?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7080 + 22983 = 24*m - 63345. What is the greatest common factor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4471523.\nAnswer: 7, 113, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -2*m**3 - 378*m**2 - 15677*m - 3711. Give f(-61).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 4*s**4\/3 + 40*s**3\/3 + 31*s**2 + 65*s\/3 + 14\/3 = 0.\nAnswer: -7, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -1  (b) -11\/7  (c) 0  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 27 + -23. Let d be (i - 0 - 3) + -19. Let y = d - -33. Calculate the remainder when 44 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9105 is divided by 1152?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2369 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -4 - k - 2*k + 6*k + 11*k**2 + 0*k. Let n be d(-4). Suppose 17*u - n = 9*u. What is the highest common divisor of 25 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 656507.5kg?\nAnswer: 656507500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14851265?\nAnswer: 5, 11, 13, 20771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*b - 6*b**2 + 19*b**2 - 12*b**2 + (2 - 2 - b)*(-3 + 3 + 2*b) + b**2 + 0*b**2 - 3*b**2)*(-71 - 5*b + 71).\nAnswer: 15*b**3 - 40*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k + 396 - 2056. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide ((-8)\/(-16))\/((-361)\/(-120) - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 502605983 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3 + 2 + 1 + 6. Suppose 2*q - h = -q. Let v(b) be the third derivative of -b**6\/120 + b**5\/60 + b**4\/6 - b**3\/2 - b**2. What is v(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 7*a**2. Let h(m) be the third derivative of -11*m**5\/3 - 1440*m**2. What is h(j(s))?\nAnswer: -10780*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 822726 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 998996933?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 101615.\nAnswer: 5, 20323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-10)\/((a**(-1\/9)\/a)\/a)*(a\/(a*a**2\/a))\/a**(4\/5))**8)**37 assuming a is positive.\nAnswer: a**(-129056\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -83 - -79. Let v(c) = 4*c**3 + 3*c**2 - 5. Let t(w) = -3*w**3 - 3*w**2 + w + 4. Let j(y) = 3*t(y) + 2*v(y). Give j(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 134819 and -0.2.\nAnswer: -26963.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 1)*(-1 - 3 - 1)*(-o - 2*o + 5*o)*(5 - 4 + 1).\nAnswer: 60*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -4, 5\/4, 11, -0.2, 8\/7 in descending order.\nAnswer: 11, 8, 5\/4, 8\/7, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/(-5))\/(1\/(-165)). Let w be -5*1*(-4)\/20 - -5. Calculate the greatest common factor of m and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 91565755 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/4)\/w**5)\/(w**(-6)*w\/(w\/(w*w**(1\/10)*w)))*((w*(w\/w**(-5))\/w*w)\/w*w**(-2\/5)*w)**(-1\/3) assuming w is positive.\nAnswer: w**(-61\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i = 5*q - 31, 0 = -36*q + 10 + 170 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 19 - 5 - 4 - (9 + -8)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 12*c - 2. What is the tens digit of u(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 2*h**2 - h. Let y be o(-1). Let i = 224 + -84. Suppose y*a = 7 + i. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87099 is divided by 7909.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (0\/(-1) - 20) + 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = -2*m - 17, 0 = -13*f + 18*f - 3*m - 28 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1336 - -1437. What is the remainder when v is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -300*h + u = -305*h + 17, 16 = h - 4*u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -11*q - 153032. Let p(j) = 2*j. Give n(p(c)).\nAnswer: -22*c - 153032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1365117 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -55, 0.27, 5?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52912 is divided by 58?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o - 22 + 2. Let i(x) = -x - 5. Let u be i(o). Put -2, 4, u in decreasing order.\nAnswer: 4, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 >= 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 13\/5 of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -156729, -313494, -470259?\nAnswer: -627024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -13.2, 0.8, -0.2, -5 in ascending order.\nAnswer: -13.2, -5, -0.2, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -221 - -225. Suppose 0 = 24*a - 26*a + k. Solve 0 = -m + 2*f - 4*f - 6, a*f + 6 = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (6 + -9)*(-1 - 4). Suppose 4*b - 21 = d. Suppose -c = 11 - 45. What is the remainder when c is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -2057*d - 93. Determine u(0).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of -151*m**4\/12 + 930*m - 2. Let p(i) = -14*i. What is f(p(y))?\nAnswer: -29596*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 2\/3, 0.19 in descending order.\nAnswer: 2\/3, 0.19, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35c4d (base 15) to base 13.\nAnswer: -600c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -6*f + 4*f - 5*j, 4*f + 1 = j. Solve f = -4*q - 4*c - 0 + 4, 4 = -c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 47.85 + -48. Let s = 0.35 + x. What is the closest to s in 0.2, 2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -u - 3, -p = p - 5*u - 15. Let t(v) = v**3 - v + 9. What is t(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1765 + 3427 + 1690)*(-5*b**2 + b**2 + 3*b**2) to a*b + n + i*b**2 and give i.\nAnswer: -3352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -84*m**3 + 320*m**2 - 248*m - 104. Let b(s) = 56*s**3 - 213*s**2 + 165*s + 69. Let p(w) = -8*b(w) - 5*r(w). Find x, given that p(x) = 0.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*i - 45 = -91*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 9, r: 2, i: 1, b: 6}. Give prob of picking 2 b.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 14*z - 200. Let s(b) = -16*b + 206. What is -4*s(r) - 5*y(r)?\nAnswer: -6*r + 176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of -13.032924 and -4.\nAnswer: 52.131696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 10*c**3 - 40*c**2 - 165*c + 797. Calculate f(7).\nAnswer: 1112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 983 (base 13) in base 12?\nAnswer: b38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 12 = 5*d + 52, w + 5*d + 20 = 0. Sort -2, 4, w in decreasing order.\nAnswer: w, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1497543029?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-855)\/(-10))\/19 - 2\/(-4). Sort 6, -3, r in descending order.\nAnswer: 6, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m and 1 j when four letters picked without replacement from {r: 2, m: 5, j: 13}.\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3625, -7212, -10723, -14152, -17493, -20740, -23887, -26928?\nAnswer: -29857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 53334 (base 6) in base 16?\nAnswer: 1c5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -8*v**2 + 14*v - 20. Let i(w) = 3*w**2 - 5*w + 7. Let a = -47 + 64. Calculate a*i(d) + 6*k(d).\nAnswer: 3*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-20)\/20)\/((-1)\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 134411445 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -116*y + 16 = -114*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + -6. Let d = 920.253 - 924. Let s = 0.253 - d. What is the smallest value in 0, s, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -4*m**2 - 30*m - 2. Let f be s(-5). Solve 17*l - f = 5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 11303*o + 140. Is i(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 - 13. Let a = j - -18. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h + 1. Let a(x) = -46*x**2 + 414*x + 414. Calculate -2*a(u) + 828*q(u).\nAnswer: 92*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 + 4. Let j = 5 - n. Which is the second biggest value?  (a) j  (b) -3\/2  (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g - 370 = 2*g. Let z = g - 62. What is the greatest common divisor of z and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 568.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20 - 20 - 22*n**3.\nAnswer: -22*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 + 12. Suppose 0 = 2*a + 6, -h + 6 = r*a + 3. What is the greatest common factor of 72 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*a**3 + 9586*a**2 + 535*a + 14 wrt a?\nAnswer: 12*a + 19172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000508158 rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 - -17. Let s = 9 - l. Which is the third smallest value?  (a) s  (b) 5  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 8282, 16586, 24890, 33194, 41498, 49802?\n\"Answer: 8304*a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51548.\nAnswer: 2, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 3*y**3\/5 + 138*y**2\/5 + 999*y\/5 = 0.\nAnswer: -37, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 - 2. Let w(h) = 2*h**2 - h - 2. Let t be w(2). Which is the third smallest value?  (a) t  (b) v  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*n + 125*n - 28*n + 138*n.\nAnswer: 194*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36386?\nAnswer: 2, 7, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.01  (b) -1\/3  (c) 0.0788\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f**2\/9 - 25598*f\/9 - 4147199\/9 = 0. What is f?\nAnswer: -161, 25759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -37328 + 37328. Which is the second biggest value?  (a) 24\/11  (b) -1  (c) 1  (d) -1\/6  (e) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 500.3009 to the nearest integer.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -63 - -78. Let z be l + -16 + (-3)\/(-1). Suppose 0 = 4*w + z*q - 2, -4*w + 30 = w - 3*q. What is the least common multiple of 21 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 57*x + 49*x - 54 = -j, 6*x - 63 = -3*j for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 259892 is divided by 878?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5670 - -5673. Sort 1729, 4, f, -3, -1 in decreasing order.\nAnswer: 1729, 4, f, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.016 and 59931.90239?\nAnswer: 59931.88639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 4*5*(sqrt(567) + -2 - (5 + sqrt(56)\/sqrt(8))).\nAnswer: -140 + 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -123877 to the nearest one thousand.\nAnswer: -124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a + 1151. Suppose 0*t + 12 = 2*t. Suppose -j = -t*j. Is s(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 4 - g)*(13 - 13 + 4*g + (-4*g + 6*g - 3*g)*(-5 + 4 + 2)) in the form s*g**2 + n + u*g and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18 - (-53 - -15)) + (0 - 31).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 333 is divided by 100.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Do -5191224 and -5191224 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 14*f - 6. Determine g(-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 109885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -2*z - 5*c, 0 = 5*z + 5*c + 52 - 47 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**2. Let i(o) = 9*o + 4. Suppose 5*m - 5*s - 33 = 12, -2*s = -4*m + 28. Let w(c) = 10*c + 5. Let z(a) = m*i(a) - 4*w(a). Determine z(d(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, z: 1, y: 1, e: 2, s: 5}. Give prob of sequence ss.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 190082829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 54 - -3117?\nAnswer: 316b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*q**4 - 57 - 33 + 23 + 4244*q**3 - 6*q**2 + 9*q**2 - 4245*q**3 as l + s*q**3 + h*q**4 + r*q + i*q**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34 + (4 - 50) + 542 + -531.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {o: 4, e: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**0*m*m**(1\/2))**22 assuming m is positive.\nAnswer: m**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3773447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-574)\/((-2)\/(-1)) - -2. What is the common denominator of -4 + (p\/33)\/(-5) and -10\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-434)\/(-1085)*15\/(-12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-35)\/(3\/(75\/5)). What is the common denominator of 101\/80 and q\/60 - -3 - 5?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 - 1310?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l - 6, -t = 4*t - 4*l - 58. What is the lowest common multiple of 12 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2267823, 4535643, 6803459, 9071271, 11339079?\nAnswer: 13606883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ayxhxpja. Give prob of picking 1 j, 1 p, and 1 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -2  (b) -314008  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 3201\/11465 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (0 + sqrt(175) + (sqrt(175)*-1*-3)**2)*-6)*2.\nAnswer: -18890 - 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -10 + (-11 - -6 - 3*-1). Let t(u) = -u**2 - 11*u + 16. Let d be t(f). Which is the nearest to -2?  (a) -0.5  (b) d  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -460 * 2\nAnswer: -920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*b - 5 = 20*b + u, 4*b = -5*u - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/44 + (1 - 0))\/(2\/4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 9*m - 5. Let l(y) = -8*y + 4. Suppose -4*t = -0*c + 2*c - 8, 0 = t. Let s(u) = c*j(u) + 5*l(u). Let z(x) = 3*x**2. Give z(s(g)).\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -160 + 162. Solve m - z*r - r + 12 = 0, 5*r - 34 = -3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 5*i - 10. Let p be x(3). Solve 2*o + p*j + 0 = -12, -2*j - 24 = -4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10001110101 - 101?\nAnswer: 10001110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -47*w**3 + 16*w**2 + 6*w + 7. Let l(i) = -23*i**3 + 9*i**2 + 3*i + 5. Give 7*l(f) - 4*t(f).\nAnswer: 27*f**3 - f**2 - 3*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (24\/48)\/((-10)\/(-32)). Find g, given that -l - 2\/5*g**3 - 2*g**2 - 16\/5*g = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 a factor of 722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 + 400?\nAnswer: 3dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -2*q**2 + 18*q + 386. Calculate k(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -206*u + 301*u + 768*u - 50917 = 0 for u.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 4*d = -141987, -426036 = -116*q + 113*q + 3*d. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 344 a factor of 19328837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/84 and -123\/100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in 2, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -251*l + 599 + 405 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s. Let q(h) = 3*h + 1. Suppose -18 = -d - 4*j, 2*d - 16 = -2*j - j. Let k be (-8 - (-4 + d))\/1. Let p be (12\/18)\/(4\/k). Determine p*q(w) - 6*a(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 - 6. Suppose -12 = -4*w + 4. Solve x - 5*x**3 - c*x**2 + 4*x**3 + x**w + x**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 71135804 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n*n**1)**(25\/6))**(-50)*n**(2\/9)\/(n*n*n*(n**3*n*n)\/n*n*n)*(n\/((n*n**0\/n)\/n))**(1\/6) assuming n is positive.\nAnswer: n**(-5701\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -294 divided by -20?\nAnswer: 147\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = 2*h - 6*h. Suppose n = 5*b + 43, n - 2*b - 15 = 25. Calculate the remainder when n is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**3 - 10*o**2 + 2. Let b be f(-10). Solve -5*l = -5*v - 20, 4*l - b*v - v - 11 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 3*w + 54. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-5))**(-34\/3)\/(((o*(o**(2\/59)*o)\/o)\/o)\/o**11) assuming o is positive.\nAnswer: o**(11971\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1872966519 and 32.\nAnswer: 1872966551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -16*i - 1. Let v(d) = -8*d. Determine -2*b(f) + 5*v(f).\nAnswer: -8*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.16?  (a) -1\/3  (b) -2  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -53, -76, -101, -128?\n\"Answer: -o**2 - 20*o - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -11*n**2 - 539*n + 75. Let l be x(-49). Solve 0 = 8*t + 7*t - l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(2\/25)*s*s**16)**(-42) assuming s is positive.\nAnswer: s**(-17934\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 7\/2 + 10\/20. Solve z*r = -3 - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -6524370.\nAnswer: -6524369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 + -2210?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -35?  (a) 0.432  (b) -1\/7  (c) -0.2  (d) -4  (e) -1\/6  (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1245*y - 32770 - 44420 for y.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 235.811 + -236. Let u = -0.011 + t. Let z = 23 + -164\/7. Which is the closest to u?  (a) 0.4  (b) 3  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 126 = -3*j, -4*m + 168 = -3*j - 2*j. Suppose -2*f - 131 = -3*t + m, -4*f = 5*t + 291. Let b = 113 + f. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**3\/3 + 80*p**2 - 1032*p + 3168.\nAnswer: 2*(p - 6)**2*(p + 132)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 - 8*r**2 + 8*r + 9. Let i be n(8). Let j = i - 65. Find the second derivative of -8*l**3 + 28*l**5 - 19*l - l + j*l**3 wrt l.\nAnswer: 560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14092499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -74727*l - 2. Let k(x) = -x**2. Determine r(k(w)).\nAnswer: 74727*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*j**2 - 465*j**4 - 185*j + 92*j + 94*j + 54*j**4 + 2*j**2 as z*j**4 + i*j**2 + t*j**3 + r*j + a and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = 2*a - 8, 20*j - 15*j = 4*a + 36 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 693, 1299, 1891, 2463, 3009, 3523?\n\"Answer: -d**3 - d**2 + 616*d + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 167721+-71\nAnswer: 167650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-3\/4)*p*p)**28*(((p**(-2\/127)*p)\/p)\/p)**(-12) assuming p is positive.\nAnswer: p**(5993\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -46 > -741\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the third derivative of -a**5\/15 - 7*a**4\/12 - a**3\/2 + 56*a**2. Let t be k(-5). Sort 3, 1, t in increasing order.\nAnswer: t, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 558?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -302861 or -303379?\nAnswer: -302861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and -4.4?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**3 - 10*f**2 + 17*f - 3. Let g be u(8). Suppose 5*q = a + q + 9, -g*a = -5*q - 30. Let m = a - 43. Which is greater: m or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u + 10. Let v be h(-25). Suppose -91 = -6*k + v. Is 21 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.803093 nanometers in kilometers?\nAnswer: 0.000000000008803093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000217 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -97137.8263 rounded to the nearest one thousand?\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 627 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -6*h**3 + h**2 - h - 2. Give f(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 44653859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -6*j**2 - 2*j. Let u be x(-4). Let b = 94 + u. Let f be (7 - b)\/(2\/6). Solve 0 = m + f, -4*d + 5*m + 23 = -0*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 4*k = 51 + 13, w - 11 = -2*k. Calculate the remainder when w is divided by (1 + 7)*(-11)\/(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*a - 5*p - 180001 + 180050, -12*p + 44 = 5*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/300 and -19\/36.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4.599 + -4.599. Which is the third biggest value?  (a) -0.15  (b) 70  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -760*d**3*z - 14*d**3 + 12*d with respect to z.\nAnswer: -760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 41 + -36. Suppose -8*i + l*i + 27 = 0. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -148132*t**2 - 130201 wrt t?\nAnswer: -296264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-14) - (-31)\/35. Let b = -410 + 413. Find u, given that 0 - 6\/5*u - 9\/5*u**2 + r*u**4 + 0*u**b = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/906551 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2340\/5304*6120\/(-400).\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4228 and 16?\nAnswer: 16912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 621583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve d = 23*d - 22 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 - 11011011101111011?\nAnswer: -11011011101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/42 and -46\/15?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**3 + 5*f**2 + 2*f + 3. Let z be b(-2). Let x = z - 13. Let o be -1*(-2)\/(-4)*x + -1. Solve 2*p - 6 + o = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 819 and 59545941?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 32222 + -30615. Solve -b*m + 15 = -1612*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7.8 + -7. Let z = -75811.800085 + 75811. Let t = z + r. Round t to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -10*f**3 + 15*f**2 + 8*f + 27. Let m be z(11). Let c = m + 136697\/12. Calculate the common denominator of c and -1\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 166928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*s = 34*s - 50 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 24 and -69\/3092.\nAnswer: 3092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 65 - -6?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1)\/o)\/o*o*o**(2\/5)*o**(2\/5)*o**(-2))**(-29) assuming o is positive.\nAnswer: o**(464\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14495 + 83850 = 17*x. Suppose -5*u - 8*u = -x. Does 31 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 266*b - 527*b + 270*b = 4*i + 12, 3 = b - i for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 9*a**3. Let l(g) = 9*g**3. Let m(t) = t**2 + 41*t + 405. Let r be m(-16). Give r*q(z) - 6*l(z).\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 678*n**3 + n**2 - 3*n + 1. Is z(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1926150 to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 4*x - 28 = 0, 130*b - 125*b - 5*x = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 1:34 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -w + 2 - 2*w**2 - 4*w**2 - 8*w**3 - 1 - 4 + 2 as j*w**3 + u + m*w + s*w**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 - 2. Suppose -u*i = 2*i + 6. What is the third biggest value in 2, -0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6 + -44*4\/28)*(-112)\/69. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 1 - 4)*(4*l + 4*l - 7*l) + 2*l - 2*l + l - 18*l - 37 + 37 + (-2*l - 2*l + 2*l)*(0 - 2 + 0) + 3*l - 2*l + l to c*l + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, -26, -82, -164?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 PM and 2:40 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1164, -2515, -3866, -5217, -6568?\nAnswer: -7919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -94*i + 198. Let p be c(2). Let r(j) = -5*j + 15. What is r(p)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -233 (base 10) in base 16?\nAnswer: -e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -183*j**5 - 5222*j**4 + 4*j**2 - j + 257530 wrt j?\nAnswer: -10980*j**2 - 125328*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -115132, -114993, -114868, -114763, -114684, -114637, -114628?\n\"Answer: -i**3 - i**2 + 149*i - 115279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2312416*x**6 - x**2 - 4413*x + 231?\nAnswer: 277489920*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 87 - 60. Let v = -27.23 + x. Let s = v - 0.07. Put -0.1, 4, s in ascending order.\nAnswer: s, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 172140.\nAnswer: 2, 3, 5, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*3\/(-28))\/((-27)\/108)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1162 smaller than 1161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jajd when four letters picked without replacement from ddjjdaaddddddaddd.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of -2*r**3\/3 + 2*r - 6. Let y(n) = -4*n - 2. Let u be y(-4). Let t(m) = -6*m**2 + 6. Let d(z) = u*l(z) - 5*t(z). Factor d(o).\nAnswer: 2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.37 - 37.7713.\nAnswer: -40.1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.184832925 to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9 - -7. List the prime factors of 64\/20*(-10)\/g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-34 - 9*r + 34)*(-r + 0 + 0*r - 1).\nAnswer: 9*r**2 + 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + 211240245?\nAnswer: 211240245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1718 - -1715. Let j be 2 + 2\/(2\/(-9)). What is the biggest value in j, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yqj when three letters picked without replacement from {q: 2, f: 3, y: 2, j: 6, g: 1, b: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -166, -323, -494, -685, -902, -1151, -1438, -1769?\nAnswer: -2150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-564)\/(-15))\/(8\/20) is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and 25.8?\nAnswer: -7.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -7\/3, -0.5, 827, 0.1 in descending order.\nAnswer: 827, 0.1, -0.5, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * -0.67.\nAnswer: 0.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*y = 19 + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -32 + -20?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 112 = -74*r + 88*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 763062.\nAnswer: 2, 3, 17, 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (90*q - 61*q + 111*q)*(-q - q + 0*q)*(2*q - 3*q - 2*q) + (2*q - q + q)*(-2*q**2 - 3*q**2 + 3*q**2) to the form f*q**2 + h*q**3 + g*q + n and give h.\nAnswer: 836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from dydyyydynyynd.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 456544.84 to the nearest 10000.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1760 = 71*h - 31*h. Solve 63*t - h = 52*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 4*m - 21. What is the highest common divisor of m and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -13e9 + b3c?\nAnswer: -8ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 230161 + -13516?\nAnswer: 213342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 3*m. Let r(d) = -10*d. Let u(y) = -8*f(y) - 3*r(y). Let a(s) = 51*s**2 + s. Give a(u(w)).\nAnswer: 1836*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-138)\/18*3)\/(9\/(-27)) - (-46 + 48).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**3 - q**2 + q - 2. Let j be b(-2). Suppose j = 5*v - 0*v - 40. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1  (b) 0.5  (c) -60204  (d) -0.3  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -2*c**2. Let o = -5 + 7. Let a(x) = 3 - 3 - o*x. Calculate b(a(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t**2 + 10826*t - 381360 = 0. Calculate t.\nAnswer: -5448, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.247 + 1.247. Which is the nearest to 4\/5?  (a) -1\/10  (b) -0.4  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 84429832?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(17) - (sqrt(17) + (sqrt(17) - sqrt(1377))))*-4)**2 - (sqrt(68) + -3 - sqrt(17))**2.\nAnswer: 6*sqrt(17) + 17382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, r: 1, p: 7, h: 5, d: 3}. Give prob of picking 2 p and 1 m.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 40.57 * 5\nAnswer: 202.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2230 (base 5) in base 14?\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94*v = 101*v - 21*v + 6984 + 6762 for v.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 8 = v. Let h(j) = -5*j - 1. What are the prime factors of h(v)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.233 + -28.867. Let u = -28.6 - y. Put u, -9, -2\/5 in ascending order.\nAnswer: -9, -2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -533341 + 1?\nAnswer: -533340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 75465 and 270.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 63150 greater than 8903944\/141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6*((-102)\/(-12) - 5). Calculate the highest common factor of 21 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2\/161 - -475\/644. Let a = -17.8 - -0.8. Let t = a + 17.4. What is the biggest value in t, n, -1\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -395, -793, -1191, -1589, -1987, -2385?\nAnswer: -2783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/12)\/((-2)\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/19, -7.86, -5, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1429 + -1505.3. Let i = y - 14.7. Let h = 90.99948 + i. Round h to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 93 + -91. Let z(b) = 3*b**2 - 4*b**2 - 3*b**2 + s*b**2. Let o(f) = -16*f. What is z(o(k))?\nAnswer: -512*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 + 24*k**2 + 33*k - 119. Let p be h(-21). Suppose -385 + p = 6*y. Calculate the remainder when y is divided by 4*(1 + 2\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (37\/5)\/((-64)\/40). Which is smaller: -5 or q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (5\/45*-3)\/(1 + (-184)\/183). Solve 77*l - t + 215 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 66 = 5*h - 2*h, f + 2*h = 71. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7323 divided by 5?\nAnswer: 7323\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 + -5. Suppose -a = a - p. Suppose -b = -18 + a. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 430454?\nAnswer: 2, 137, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -142*k + 10. Let f(v) = 37*v**2. Calculate d(f(q)).\nAnswer: -5254*q**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*g**2 - 1 - 10306*g**3 + 1 - 45*g**2.\nAnswer: -10306*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**3 + 8*c**2 + 104*c - 8. Determine a(-6).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32587276 is divided by 152.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -4*i + 3*a - 120, -35 = i + 2*a. Let w = i + 40. What is the smallest common multiple of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 206 and 28441802?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:01 AM and 2:14 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 67 divide 581166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 30 = 5*k. Let o be 5*k\/(-125)*5. Solve o*n - 12 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -7*t**3 - 6*t**2 + 2*t + 37. Let m(y) = -y**3 - 3*y**2 + y. Determine 2*m(u) - r(u).\nAnswer: 5*u**3 - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-39 + 91 - 33)*(7*b**2 + 13*b**2 - 3*b**2).\nAnswer: 323*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 1\/3523, 3\/5, 0.2, -10?\nAnswer: 1\/3523","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -84214, -1, -5, 165 in ascending order.\nAnswer: -84214, -5, -1, 5, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 63 + -48. Let m = p - 15. Do m and -2\/17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132 + 164 = 8*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 24 - (-1 + -1 - (20 - 22)). Suppose 4*k = 3*k - 4*f + 92, 0 = 2*k - f - 139. What is the highest common factor of z and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*r**2 - 249 + 0*r**2 - 7*r**4 + 243 in the form i*r**3 + f + d*r + p*r**2 + x*r**4 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8401757 to the nearest integer?\nAnswer: 2899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 6, j: 2, n: 5, s: 3, b: 1}. What is prob of sequence jj?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 5.053989 meters?\nAnswer: 5053989000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 140*k**2 - 88416*k - 76138917 wrt k?\nAnswer: 280*k - 88416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 20014 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (16*x + 32*x - 6*x)*(7 - 2 + 2) in the form j*x + h and give j.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 + 29723*g - 416320. Give q(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/(-90))\/(523\/232735)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2814589 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hysms. What is prob of sequence ym?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, b: 2, c: 3, q: 1, f: 2, x: 3}. Give prob of sequence ib.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the third derivative of 0*o**6 + 0*o**5 + 0*o**7 - 5\/48*o**8 + 0*o**3 + 4*o**2 + 7\/6*o**4 + 0*o + 0. What is the second derivative of x(q) wrt q?\nAnswer: -700*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 14 = -k - 21, v + 1 = -k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 + 6*h**2 - h + 6. Let o(t) = 44*t + 1. Let w be o(1). Suppose -3*y - 2*l + l + 23 = 0, 3*l = -5*y + w. Calculate v(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10 - 3\/(0 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 252 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*q - 9, -119*d + 121*d + q + 17 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*j**3*u**4 - 3*j**3*w - u**6*w - 3*u**3*w + 2*u**2 + 10*u*w wrt u.\nAnswer: 120*j**3*u - 120*u**3*w - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -55\/42 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -13 or -23054?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:36 AM and 4:30 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 1473 divide 30060984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 4, d: 4, m: 2, o: 4}. Give prob of sequence om.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -465 = -w - 9. Let t = w + -272. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3670838 + 9303338 = 15*k. What is k rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 326 and 3?\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 460*z - 470*z - 80 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - o - 3*o + 3*o)*(6 + 6 + 1).\nAnswer: -13*o - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 421 a factor of 3321269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 999906 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**2 + 838*i + 420.\nAnswer: -2*(i - 210)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**3. Let l(a) = -a - 1. Let w(t) = -6*t + 46. Let p be w(8). Let x = 2 + -2. Let c be (p - x)*(3 + -4). Determine c*l(s) + 2*m(s).\nAnswer: -2*s**3 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30514105 (base 7) to base 14.\nAnswer: -4a8575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c**5 - 12*c**4 + 12*c**3 - 4*c**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26905, 107846, 242749, 431614, 674441, 971230?\nAnswer: 1321981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -24*b**4 + 21?\nAnswer: -96*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x = -i + 3, 16 - 27 = 2*x + 3*i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 389 - 26061\/67. Let r = s + 59\/268. Suppose 2*j + 4*v = -9 + 7, 5*j = 4*v - 5. Which is the third smallest value?  (a) j  (b) -0.4  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bqbqjqfqffcqjf. What is prob of sequence jbqj?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1.579432169*-0.3\nAnswer: -0.4738296507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.369 to two decimal places.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -88 - -88. Sort 9, w, 1 in descending order.\nAnswer: 9, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -90 + 88.53. Let l = i + 2.47. Is l greater than or equal to 75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the third derivative of b**4\/12 + 2*b**3 + 3*b**2. Let j be k(-8). Let z = j + 10. Calculate the remainder when 16 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 659 and 2.\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/5)\/u*u\/u**9*((u**(-2)*u)\/u)\/(u*u\/(u**(2\/7)*u)))\/((u*u*u*u*u\/(((u**(-2)\/u)\/u)\/u)*u*u)**(-9)*((u*u**(-1\/3))\/u*u)**(1\/2)) assuming u is positive.\nAnswer: u**(10033\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, -2, -3, -1, 0, 159 in ascending order.\nAnswer: -3, -2, -1, 0, 20, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -14 in 0.048, 4, -0.04, 6?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 168*y**4 - 102*y**4 - 87*y**4 + 5*y**2 - 514 + 512 + 2*y**3 as g*y**2 + f*y**3 + l + z*y + b*y**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1059 + -573. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -1383 - 1291 + 35*m + 2672. Let p(d) = -18*d + 1. Give 6*o(j) + 13*p(j).\nAnswer: -24*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -q**2 - 2662*q - 1771561 = 0.\nAnswer: -1331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18353 is divided by 2037?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 796763606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13 + -12. Let k be -8*(-3)\/6 + b. Suppose k*d = -29 + 204. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*u**3 - u**3 + u**3)*(2*u**2 - 3*u + 3*u) - 4*u**5 + 10*u**5 - u**5.\nAnswer: -29*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 21*c**2 + c + 100. What is the thousands digit of r(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8385*w + 13981 = 7934*w for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 892213 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(1300) - (-1 + sqrt(1300)))*5)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2295881271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11161\/1554 - -4\/259. What is the common denominator of -99\/10 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes before 11:20 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u**4 + 2*u**4 + u**4 + (2 + 0 + 0)*(-u + u**4 + u) - 2*u**4 + 3*u**4 + 0*u**4 - u**4 - 3*u**3 - 3*u**3 + u**3.\nAnswer: 4*u**4 - 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-12806 - 12214 + 36851 + 6*i - 12325)*(2*i**2 - i**2 + 0*i**2) in the form q + y*i**2 + l*i**3 + k*i and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 + (-1)\/(-4))*4. Let r = 0 - l. Let v be -1 + 3 - -4 - (-2 - -3). Which is the nearest to -2?  (a) r  (b) v  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6441 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: What is the third root of 158877 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4778 in 0, -2, -3\/2, -4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -45c272 (base 14) to base 9.\nAnswer: -4422314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 35 and 13*5 + (-55)\/22*-2.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2*y + 47. What is the remainder when f(12) is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {r: 3, p: 4, l: 5, f: 4}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1480 divided by -8\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18c (base 15) to base 7.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**3 + 3*k**2 - 2. Suppose -4*t = -4*y, -4*y - t = 3*t - 32. Let c(m) = -3*m**3 - 9*m**2 + 7. Let w(x) = y*c(x) + 14*s(x). Factor w(b).\nAnswer: 2*b**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 5, -2\/9, -4, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -812*y**3 + 62 - 3*y**2 + 810*y**3 + y**2 in the form j*y**3 + p*y + v*y**2 + r and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2607 is divided by 100.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 312*z**4 - 53370*z**3 - 159801*z**2 + 11961*z + 7830 = 0.\nAnswer: -3, -5\/26, 1\/4, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -4*q**2 + 5*q - 61. Let z be c(5). List the prime factors of ((-4)\/(-1))\/(z\/(-2822)).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -5*o**3\/4 + 125*o**2\/4 - 130*o + 100 = 0?\nAnswer: 1, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of 1650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 1\/2, 0, 0.3, 5\/3 in ascending order.\nAnswer: 0, 0.3, 1\/2, 5\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/1700 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 + 9*u**2 - 14. What is the tens digit of a(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1662?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -s*x*z - s*x + 42110*s*z**3 + 183*s*z**2 + 11139*s*z - 11*x*z**3 wrt z.\nAnswer: 252660*s - 66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooux when four letters picked without replacement from {u: 2, o: 2, i: 1, x: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002991 to 4 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 - 9*r**2 - r - 7. Let q be g(-9). Let n be (-74)\/(-9) - (-14)\/(-63). Suppose 5*j - n = q. Sort -4, j, -1 in increasing order.\nAnswer: -4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = 5*x - 11. Let i be 2\/(-12) - 2\/x. Which is the smallest value?  (a) 4  (b) i  (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1557 a factor of 99277543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-5 + (-4*(sqrt(60) + sqrt(60) + (sqrt(7260) - 2*sqrt(7260)) + sqrt(7260) + sqrt(60)))\/((sqrt(1200) - -2*sqrt(1200) - sqrt(1200) - sqrt(1200))*-5)).\nAnswer: -5 + 6*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 4858 = p, 0 = -3*a - 23*p + 16*p + 14614. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1297, 5290, 11969, 21352, 33457, 48302?\n\"Answer: 3*v**3 + 1325*v**2 - 3*v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.4098 + -0.3098. Suppose 2*x + 28 = 6*x. Sort x, o, -2\/11.\nAnswer: -2\/11, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 488 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/(-4)*(-2)\/20*3.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d**4 + 11836*d**3 - 8820456*d**2 + 95715664*d - 86907040 = 0. What is d?\nAnswer: 1, 10, 1474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 9065 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zqqtzzzzqzzzztzzz. Give prob of sequence qt.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1194 is divided by 112?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 54072.73kg?\nAnswer: 54.07273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 325*u. Let m(j) = 21*j. Let w = 10236 + -10241. Give w*k(p) + 78*m(p).\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 36*r**2 + 12*r**3 + 50*r**2 - 30*r**2 + 54*r**2 wrt r?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66445 is divided by 79.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the second derivative of p**3\/3 - 3*p + 4. Let g(s) = -8*s**2 + 4*s. Let x(b) = b**2 - b. Let q(h) = -g(h) - 4*x(h). What is q(f(i))?\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -3*o**3 + o**2 + 4*o + 6. Let q be m(5). Let v = 43780 + -397003\/9. Let y = q - v. Calculate the common denominator of -11\/5 and y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -3 + 10 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 39162575734*a - 6*a**3 - 2 - 39162575734*a.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 561059 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -46 (base 16) to base 15\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-12))\/((-153)\/7956)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 7:30 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -500 + 797. Calculate the highest common factor of 132 and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2819621 and 87408251.\nAnswer: 87408251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10170425.\nAnswer: 5, 406817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 289\/(-153)*(0 + -9). Solve -5*o = h - 42 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46568 - -0.3.\nAnswer: 46568.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1945, -3052, -4907, -7516, -10885?\n\"Answer: -t**3 - 368*t**2 + 4*t - 1580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2163551?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 + -1. Let f(s) = s - 5*s**2 + 3 + 9*s - 3*s - 7*s. Let j(p) = p**2. Give z*j(x) + f(x).\nAnswer: -x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5 and 362565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 + -5. Let d(a) = 73*a - 7223. Let u be d(99). Which is smaller: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 6*r**2 - 3*r + 1. Let u be k(2). Let q = u + -3. What is the greatest common divisor of 144 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 126 = -0*s + 3*s + 3*m, -69 = -2*s + 3*m. Suppose 0 = -43*w + s*w + 376. List the prime factors of w.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -6*i + 19. Let p = 1926 + -1921. Determine k(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 57840 - 37548. Let g = c - 13361. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 35 and 2265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a**2 + 458 + 576 + 459 - 1493.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/2934 and 151\/4890.\nAnswer: 14670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -167 + 167 + 8059*z.\nAnswer: 8059*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-48)\/(-36)*(6 - 0). Suppose 6*r + 1400 = o*r. Round r to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2573 - 2572.7. What is the nearest to 2\/11 in u, -1, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l - 6*l + 2*w + 162, l + 2*w - 43 = 0. Let a = 101 - l. Let r = a + 29. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2301 - -2301. Let w(i) be the first derivative of -14\/3*i**3 + 13\/4*i**4 + u*i**2 + 0*i + 5. Find the third derivative of w(z) wrt z.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 623 + 1434 = -5*z + 4*r, -400 = z + 3*r. Let a = z + 746. List the prime factors of a.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2338195 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20000, 1, -1 in decreasing order.\nAnswer: 20000, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 12636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3230.\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 5 + (-3 + -33)\/4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3.439416um?\nAnswer: 0.000003439416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4389)\/285*152\/(-418).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*m**2 + m - m + 3*m**2 + 5*m**2 - 2*m**2 + (-3 + 3 - 2*m**2)*(-1 - 3 + 2) + 5*m**2 - 3*m**2 + 5*m**2 as y*m**2 + a*m + w and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z + 13. Let k be ((-14)\/21)\/((-1)\/(-9)). Let i = -17 - -22. What is the remainder when g(k) is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/6*(-6)\/4. Let d(a) = a - 1. Let y(o) = -1. Suppose v - 6 + 4 = 0. Let q(l) = v*d(l) - 3*y(l). Let s(u) = 1. Calculate k*q(i) + 3*s(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4070757304?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 6587 - 6*o + 23213 + 13*o**2 - 14*o**2. Let v be l(0). Round v to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhdhhlllll. What is prob of sequence dllh?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 3*a + 11 = -2*p, 3*p + 2*a + 8 = 0. Let y be (65\/26)\/(p\/4). Let m be y\/(20\/12) - -59. What is the greatest common divisor of m and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a microgram in nanograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -89+890\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 173 - 192.8. Let a = -17 - l. Let p = -3 + a. What is the second biggest value in 4, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7500 is divided by 2500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13728*w**3 + 0*w + 0*w - 28369*w**3.\nAnswer: -42097*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20420072514*u**2 - u + 5525 - 20420072515*u**2 - 5525 + u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10358 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**3 + 9*c**2 - 11 - 26 + 34)*(0 + 3 - 2)*(3 - 3 - c).\nAnswer: -c**4 - 9*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -424054872, -424054876, -424054882, -424054890, -424054900, -424054912, -424054926?\nAnswer: -424054942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/11)\/(648\/(-1188))*(-4)\/8*-90?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12.07 - -12. Let j = 69 + -57.8. Let n = j - 10.9. What is the second biggest value in n, s, 2, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4\/(-2) - 2)*21\/(-42). Which is the nearest to 1\/2?  (a) 14  (b) -0.2  (c) 5  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes before 1:21 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 55*s - 885. Let j be f(16). Sort 1\/23, j, 0 in decreasing order.\nAnswer: 1\/23, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, -1388, -2\/19, 3\/8, -2\/7, -0.4, 2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6140459753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 - 14*s**2 - 249*s - 3820. What is x(-15)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18285 - 21093 = -1198*q - 6353 - 4273 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 117\/144172 and -49\/7455752?\nAnswer: 52190264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 25 = 3*d, -4*d + 2*f = -0*f + 30. Let n = d + 16. Suppose 0 = -l + 2*z + 5, -4*l + 3 = z - n. Solve -5 = -r + 4*i, 4*r + 11 = 2*i + l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -27732 - -27731.10586. What is v rounded to 2 decimal places?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -5*j + 7. Let r(s) = -3*s + 4. Let q(d) = 4*g(d) - 7*r(d). Let l(n) = 3*n - 2. Let x(k) = -5*k + 5. Let m(t) = -5*l(t) - 2*x(t). Give m(q(b)).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the third derivative of -1\/6*j**4 + 3 + 2*j**2 + 0*j + 0*j**3. Let u(l) = -l**2. What is u(a(z))?\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -14.169 to 1 dp.\nAnswer: -14.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of -t**7\/140 + t**5\/24 + 5*t**3\/3 - 6. Let f(j) be the third derivative of d(j). Find the second derivative of f(z) wrt z.\nAnswer: -36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*h + 6*h + 71*h**3 + 4*h - 4*h - 2*h**2 to the form y + l*h**2 + v*h**3 + m*h and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**0*(c**(3\/7)*c)\/c)**(-11)*(c**(-6)*(c\/c**(-3)*c)\/c)**(-2\/15) assuming c is positive.\nAnswer: c**(-467\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 54 - 48. Let l be (-2)\/((-5)\/k*4\/175). Let r be 304\/20 + (-1)\/5. What is the highest common factor of l and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -8*c**3 + 4*c**2 - 13*c + 18. What is q(2)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 91\/45 + (-6 - -4). Let k = d - 31\/45. Put k, 0.4, 0.3 in decreasing order.\nAnswer: 0.4, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/(k*k\/(k\/(k\/(k*k\/k**(-2\/21)))*k))*k))\/k)\/(k\/k**(1\/6))*k**(2\/15)\/k*k*k**0*k assuming k is positive.\nAnswer: k**(-587\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5269 is divided by 1053?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 133919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -705167 - 40*p**3 + 705167.\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(2\/9)\/w**4*(w*w\/((w*w**(2\/21)*w)\/w))\/w*w**2 assuming w is positive.\nAnswer: w**(-118\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 25113021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -2*p**3 - 8*p**2 - 47*p - 82. Determine s(-6).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tbvvbbbgbggtbgt. Give prob of picking 1 b, 1 v, 1 t, and 1 g.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 38450 and 2262398?\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 36 + -30. Suppose -v + j - 2 = 3*x, -2*v + 13 = x. Let h be (-1 - -1) + 2 + 5. What is the greatest common divisor of v and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d**5\/11 - 2*d**4\/11 + 10*d**3\/11 + 10*d**2\/11 - 8*d\/11 - 8\/11 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 7100.\nAnswer: 1\/3550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8027*i**4 + 26*i**2 - 489*i**6 + 1 - 8029*i**4 + 0 + 6*i - 2*i**5 wrt i.\nAnswer: -58680*i**3 - 120*i**2 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 438 and 112858?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-7)\/(42\/459)*-2 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 87222 - 608199007\/6973. Do s and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12)\/sqrt(6)*6 + 4 - sqrt(4)\/(sqrt(8)\/(sqrt(20)\/sqrt(5))))**2.\nAnswer: 40*sqrt(2) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 279 - 278. Let u = -8.5 - -2.5. Let r = u - -7. Which is the nearest to z?  (a) 0.5  (b) r  (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*i + 55 - 46 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - -10) + (1068\/(-153)*1 - (-388)\/1164)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -272 + 269. Let k be (9\/(-4))\/((-6)\/17). Let j = 679\/104 - k. Which is the second biggest value?  (a) m  (b) -0.5  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**3 + 41*j**2 + 65*j - 710. Determine b(45).\nAnswer: -5885","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5757 = 4978*s + 253099 for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -7*n**2 + 6*n + 386. Let h(v) = 6*v**2 - 8*v - 396. What is -2*h(z) - 3*y(z)?\nAnswer: 9*z**2 - 2*z - 366","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*g**5*m - 38*g**4*m**2 - 46*g**2*m**2 + 2*m wrt g.\nAnswer: 360*g**2*m - 912*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -2*k + 4. Let z be j(3). Let p be z\/1 + 1*5. Solve -p*i + 4 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5221606 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 301042252 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: Three letters picked without replacement from {q: 3, a: 4}. Give prob of picking 3 a.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*w**2 + 11*w**2 + 5*w**2)*(-32 + 32 + 7*w) - 10*w**3 - 29*w**3 - 15*w**3 as y*w**2 + o*w**3 + r*w + d and give o.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.4, 488 in increasing order.\nAnswer: -0.4, 4, 488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 348984 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 6370507.2 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11195 + -23196041\/2072. Let d = c + 106711\/6216. Find the common denominator of d and 101\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21111210112 + 11?\nAnswer: 21111210200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, i: 4, c: 1, w: 5}. What is prob of sequence cw?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1463.3606 - -0.3606. Let a = p - -1460. Let d = -21 + 35. What is the second smallest value in 1, 0.1, a, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-14)\/(-35))\/((-2)\/50). Let d = w + 1. Let i(p) = -p - 5. What are the prime factors of i(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6809 + 17\/(238\/28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-49)\/21*(-12)\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1 - (-1)\/2*-2. Let s = 4 - 4.1. Let k = s - 0. Which is the second smallest value?  (a) k  (b) -1  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -2*sqrt(6300) + sqrt(63) + (sqrt(63) - (sqrt(63) + (sqrt(63) - 2*sqrt(3087)) - sqrt(63))**2) + -1*(sqrt(63) + 2)**2*-4.\nAnswer: -10376 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6324 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1068.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92*c - 61*c - 310 = 0. Solve -c - 17 = -27*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**2 - 7*l + 6. Let i be s(4). Let z be (-8)\/198 + i\/(-27). Which is the third smallest value?  (a) z  (b) 1  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1584108694.2657 take away 0?\nAnswer: 1584108694.2657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:18 PM and 2:34 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (36\/210*5)\/((-6)\/(-42)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4504 + -10?\nAnswer: 4454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 62 - -205 - 173 - (1 + 3).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 783048 (base 9) in base 8?\nAnswer: 1622136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -97 + 97 - 2*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 280552 a multiple of 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 544978619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rtzzn. Give prob of picking 1 z, 1 t, and 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 4 = 0, 2*i - 109 = -4*k - 3*i. Find the second derivative of -26*c**2 - 349*c + 918*c - 3*c**3 - 397*c - k*c**2 + 2*c**3 wrt c.\nAnswer: -6*c - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -20803308 + -9?\nAnswer: -20803316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 201001 - -102?\nAnswer: 201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -752426\/9  (b) 5  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -184 = -86*w + 246 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -487\/16 - -36. Which is smaller: 5 or g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19 and 1957.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1821.765 + 4.235. Let k = j - 1825.99997626. What is k rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 1 g when three letters picked without replacement from ereggegebggceeg?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1.66 - -0.38509806\nAnswer: -1.27490194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1067 - -40?\nAnswer: -1027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.6 and -44997.5450252.\nAnswer: -44998.1450252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x = x - 736. Suppose -3*q = 5*a + 487, 0 = -2*a + 3*q - 266 + 88. Let k = a - x. What is the closest to 1 in 2\/7, k, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p - 2*i = 42, 56*i = -p - 129 - 491 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -76 (base 10) to base 12\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*1\/28*-4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7519 is divided by 1450?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -31*l**2 - l. Let u be q(1). Let r = u - -32. Suppose r*t + 22 = t. What is the greatest common divisor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 - 3. Suppose 0 = r*u - u. Suppose u = 4*l + 1 - 33. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 186571\/12 - 15559. Let f = d + 45\/4. Calculate the common denominator of 194\/(-9)*(-30)\/(-40) and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 214 = -2*j, -3*h - 2*j - 15 + 145 = 0. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 495 + 865 = 10*v. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 705445.5ug?\nAnswer: 0.0007054455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 3*n**3 - 113*n**2 - 232*n - 1902. Give z(40).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/(-8)*(15 - 11). Let z = 27 - r. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 125 - 27. Let y = j - 98. Suppose -t + 1 = y, -2*g - t = 4*t - 11. Solve 2*a - 4 = -r - 3*a, -g*a - 16 = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2*i**3 - 2*i**2 + i - 7. Let r(o) = -2*o**3 - 2*o**2 + 2*o - 6. Give 3*r(v) - 4*x(v).\nAnswer: 2*v**3 + 2*v**2 + 2*v + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j + 2*j - 12, 4*c - 12 = -j. Let n = -1 - c. Let q = 27 + -27.3. What is the third biggest value in n, -3\/7, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(-9))\/(((c*(c\/(c\/c**(1\/7))*c*c)\/c)\/c)\/c))\/((c*c*(c**(1\/2)*c)\/c)\/c**(-1\/11)) assuming c is positive.\nAnswer: c**(-1653\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10101000100 - -101001111101111?\nAnswer: 100111010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 + 8. Suppose 4*c - 16 = -x. Suppose 0*h - 34 = -3*d - h, -d + c*h + 20 = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 273510.\nAnswer: 2, 3, 5, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -5*i - 4, -2*h = h - 3*i - 6. Let f be 0 - (16\/h + -3). Sort f, -4\/5, -5 in decreasing order.\nAnswer: f, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 87 - 61. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 117148081.\nAnswer: 29, 4039589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -4011 divided by -3?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zb when two letters picked without replacement from {l: 2, b: 5, j: 3, z: 2}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**2)**(4\/15)\/(((b*b**(-1))\/b)\/b*b)**0 assuming b is positive.\nAnswer: b**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 60700, 121217, 181384, 241027, 299972?\nAnswer: 358045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24 - 22. Let o be a + (2 - (8 + -2)). Let u = o + 44. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3258?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*i + 5*f + 22, 2*f = i + 5*f + 16 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/3 + 175\/75\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c = -3*l + 3*c - 15, 3*l + c = -15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -5*n**2 + 3. Let v(m) = -155*m**2 + 154*m**2 + 0 + 1. Let h(b) = -b - 8. Let c be h(-7). What is c*o(j) + 3*v(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((3 + 2)*12\/21)\/(110\/(-770)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 184\/115*(-5)\/(-6)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 164992067.\nAnswer: 19, 8683793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000045634 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -5 * -10302\nAnswer: 51510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.351 and 146.\nAnswer: 146.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 614  (b) 7\/4  (c) 0.3  (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 78193, 78195, 78197, 78199, 78201, 78203?\nAnswer: 78205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8345159.\nAnswer: 23, 179, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 940472313.\nAnswer: 3, 11, 28499161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 7 and -259241175?\nAnswer: 259241182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1234309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/4 - 68\/16. Let c(g) = -g**2 - 5*g - 3. Let n be c(b). What is the derivative of n - h**4 + 0 + 0*h**4 wrt h?\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r - 17 + 17 + (-1 - 2 + 1)*(1 - 1 - 2*r))*((-2 - 3 + 3)*(-2 + 1 + 3) - 17 - 22 + 21) + 3*r - r - 3*r + (1 + 0 + 1)*(r - 2*r + 2*r).\nAnswer: -65*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5766.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 14*v + 12. Let g(m) be the third derivative of 3*m**4\/8 + 4*m**3\/3 - 4*m**2. Give 8*g(u) - 5*t(u).\nAnswer: 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*w + 2*w + 0*w + (-1 - w + 1)*(-3 - 3 + 4) + 2*w - 5*w + 2*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b - 6\/7*b**2 + 0 + 8\/7*b**3 - 2\/7*b**4 = 0 for b.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -52\/225 and 82\/1305?\nAnswer: 6525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 38360226 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 4) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1857889.\nAnswer: 11, 168899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v\/(((((v**(-7\/2)\/v)\/v)\/v)\/v)\/v))*v\/v**1)\/(v*(v**4*v)\/v*v*v**(2\/5)) assuming v is positive.\nAnswer: v**(-149\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u - 4. Let t be d(7). Solve 4*f + 4*v - 4 = 0, 7 - 2 = f - t*v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(22) - -5*(-2*sqrt(22) + sqrt(22)))\/(sqrt(176)\/sqrt(4)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -45 - -50. Let b be 10\/(1\/(1\/2)). Solve -p = 2*z + 15 - 4, 4*p = u*z - b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 - 66 = -3*j. What is the remainder when 29 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/138705 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - v - 62 = 81, -5*o = -v - 179. Let l(x) = -x**2 + x + 5. Let j be l(2). Solve -6*n**2 + 24*n**2 - 9 - 3*n**j - o*n + 33 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 2*c - 2*n - 16, -3*c - 4 = n. Let x = 20 - 14. Solve -m - 2 = 2*s - 4*s, c = -3*m + 2*s - x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 g when two letters picked without replacement from lrshhgrrrrgbghhrbr.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 192 - 66?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-5\/8)\/((h\/(h*h\/((h**(2\/13)*h)\/h)))\/h*h*h))\/(h**(-41)\/((h*h*h\/((h\/h**(1\/8)*h)\/h))\/h)) assuming h is positive.\nAnswer: h**(1075\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -0*u - 2*n - 18, 2*u + 3*n + 15 = 0. Let g(m) = m**3 + 7*m**2 + m - 2. Let q be g(u). Suppose -r + 0*t = 3*t - q, -5*r = 2*t - 181. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.473959l in millilitres?\nAnswer: 5473.959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/9, 5, 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x**2 + 3*x**2 - 4*x**2)*((3 + 0 - 2)*(-2 + 0 + 1) + 2 - 4 + 0 + 0 + 1 - 2 + 198 - 96 - 148).\nAnswer: -100*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11\/4, -1\/7, 0.3, 0.1 in decreasing order.\nAnswer: 0.3, 0.1, -1\/7, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -33793, -33755, -33681, -33565, -33401, -33183?\n\"Answer: v**3 + 12*v**2 - 5*v - 33801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jje when three letters picked without replacement from {j: 3, e: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 5*i - 2*l = 42, 54 = 5*i + 2*l. List the prime factors of 2*i\/8*27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of -6*t + 0 + 0*t**3 + 1\/12*t**4 + 3\/2*t**2. What is the derivative of x(b) wrt b?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 939 divide 925431450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2*-3568.8\nAnswer: 7137.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 282233 and 7084?\nAnswer: 12418252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 79 = -0*b - 5*b, 17 = b + k. Solve 2*f - 7*f - 4*s = -4, -5*f - s = -b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3954 is divided by 1316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -22604 + -5661?\nAnswer: -31565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -29*p - 27 - 213 + 8 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 153834709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 9*w**3 - 15. Is 17 a factor of v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10880 and 235776?\nAnswer: 20040960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (0 - (-7 + 4))) + -54 + 54 - 43\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/93 and 91\/310.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, z: 3, u: 3, e: 6}. Give prob of picking 1 p and 1 z.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 - 22 + 13 + 73*k.\nAnswer: 73*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1263211*x**4 + 2*x + 1530169.\nAnswer: 15158532*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*x**4 - 46737270*x**3 + 112169736*x**2 - 448679328*x\/5 + 119647872\/5 = 0 for x.\nAnswer: -623166, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -10 + (1 - -6) - (-6 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3*-25\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2. Let y(v) be the third derivative of -41*v**4\/24 - 5*v**3\/6 + v**2 + 26*v. Calculate b(y(h)).\nAnswer: -1681*h**2 - 410*h - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 9036, 71999, 242876, 575625, 1124204, 1942571, 3084684, 4604501?\n\"Answer: 8993*y**3 - y**2 + 15*y + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 6*k**2 - 2231*k - 83088. Calculate v(406).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 925217 is divided by 209.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1*(-3 - 2 - -1). Sort q, 0, 1 in decreasing order.\nAnswer: q, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of q**2 + 27*q + 2. Suppose 3*y + 3*f - 10 = -1, -15 = -5*f. Calculate the remainder when 53 is divided by a(y).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*(3 + (-9 - -3 - -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 7*y + 65. Give r(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 161\/3 - 53. Let v be (-2)\/48*232\/58. Let c = 8.4 + -8. What is the third smallest value in g, c, 2, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6324341 years in centuries?\nAnswer: 0.006324341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2251\/3447 or 0?\nAnswer: 2251\/3447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -34950, -70391, -106310, -142701, -179558, -216875, -254646?\nAnswer: -292865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/15 in 5, 2, -10.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**2 - 12. Let j be y(0). What are the prime factors of (-680)\/j - (-2)\/(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5367299148.\nAnswer: 2, 3, 59, 89, 28393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -5034 * 19\nAnswer: -95646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of 0*l**5 + 42*l**2 + 0*l + 0*l**4 - 1\/80*l**6 + 0 - 1\/280*l**7 + 0*l**3. Solve m(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3714542ml in litres?\nAnswer: 0.0003714542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 + 2*n + 1. What is h(-5)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f + f + 4*f + 2*f. Let m(z) = -2*z**2. Calculate w(m(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - -2\/13. Let l = 1.942 + 0.058. Which is the nearest to 2\/7?  (a) 3\/5  (b) n  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 + 2*z**2 + 1. Give p(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1600) + sqrt(1600)*-1 - sqrt(1600) - sqrt(112)\/(2*sqrt(7)))\/(sqrt(162) - (sqrt(162) - 3*sqrt(162))*-6).\nAnswer: 7*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4973695\/637 - 7808. Let n be 10\/(10920\/444)*(-103)\/(-77). Let k = d - n. Do k and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 4*r - 7 = 0, 5*r - 2*r = 5*o - 12. Let b(z) = z**3 - z**2 - 7*z + 7. Let f be b(o). What is y in 1\/5*y**f + 2\/5*y**2 + 0*y + 3\/5*y**3 + 0 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 58?  (a) -1  (b) 5\/2  (c) 2\/119  (d) 196\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0017802702 rounded to 5 dps?\nAnswer: 0.00178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -179*b**3 - 335*b**3 + 1930*b**3 + 1019*b**3.\nAnswer: 2435*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.43 - -3.3. Let x = 0.17 - d. What is x rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 567601, 4540798, 15325187, 36326362, 70949917, 122601446?\nAnswer: 194686543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 329.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g**2 - g**2 + 21*g**2)*(-4 + 3 + 2) - 2 + 2*g**2 + 2 + (4*g**2 + 0 + 0)*(-3 + 4 + 1).\nAnswer: 31*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the first derivative of -d**2 - 2*d + d + 3 + d. Let k(x) = -9*x. Let r(u) = 3*u. Let m(f) = 4*k(f) + 11*r(f). Give m(l(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -3*t - 14, -10 + 0 = -2*o. Let p(v) = -v**2 - 4*v + 74. What is the remainder when 206 is divided by p(t)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -2*p**2 + 5*p - 3. Let k be 2*(-3)\/4*-2. Let l be (-6)\/(1 - (-15)\/(-6)). Let a(s) = -1 + k*s + l*s - s**2 - 6*s. Determine 3*a(u) - r(u).\nAnswer: -u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 52.3 and -2358?\nAnswer: -123323.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/22)\/((-128)\/(-9856)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 3) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.019 + 0.761. Let h = y + -16.58. Let b = h - 11.3. What is b rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 370 and 3256?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16655 - -16936. What is the remainder when u is divided by 81?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -394*w - 25707. Calculate p(-65).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 37 + -23 - (12 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 35*y**2 + 5*y - 9. Let u be t(3). Find the second derivative of 11 - 24*k**5 + u*k - 324*k - 72*k**5 + 6 wrt k.\nAnswer: -1920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -348 + 641. Suppose -5*v + 4656 = -4*k, 87*k + 20 = 82*k. Suppose c = -5*f + v. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 + 14*s**2 - 69*s - 9. Let n be w(4). Solve n*k + k + 1 = h, 4*k + h = 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = -27*v + 156. Solve -8 = 2*f - 5*b, -2*f + 6*f + 2*b = v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = -5*b + 4*b. Suppose b = 27*j - 2301 - 13683. List the prime factors of j.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(363)*6.\nAnswer: 396*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4568*a**3*u**4 - 5*a**3*u**2 + 2*a**3 + 6*a**2 + 15401 wrt u?\nAnswer: -18272*a**3*u**3 - 10*a**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1036655937.\nAnswer: 3, 17, 6775529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 112.1118 to one decimal place.\nAnswer: 112.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/72 and 157\/37464.\nAnswer: 112392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(0 + (sqrt(99) - -4*(sqrt(99) + 1) - sqrt(99)) + 0 + sqrt(99) + sqrt(99) + 1)**2.\nAnswer: -14356 - 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -9*i**5\/4 - 3*i**4 + 111*i**3\/2 + 102*i**2 - 429*i\/4 - 45 = 0.\nAnswer: -4, -3, -1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - 1. Let q be c\/(-5)*2\/(-4). Sort 4, -1\/6, q.\nAnswer: q, -1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -710.7 + 84791\nAnswer: 84080.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:20 PM and 10:35 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2222 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -13*g*k**2 + 2629*g*k - 70*g - 23650*k**2 + 2315 wrt g?\nAnswer: -13*k**2 + 2629*k - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 37039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8 by 62.\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -37*j + 209. Let r be q(4). Is r greater than or equal to 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 = -4*m - 0*m. Calculate the smallest common multiple of m and 11.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 74 and 3478?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(192) - (sqrt(192) + 5 + 0 + sqrt(192) + sqrt(192))) + -4.\nAnswer: 11 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q + 0*q - 3*q + (-3 + 2 + 0)*(2*q + 2 - 2) - 3*q + 4*q - 3*q)*(1 + 15 - 2) + (q - q - 7*q)*(-2 + 0 + 1).\nAnswer: -91*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -26669*s - 4267044. Determine q(-160).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s + 2*s - 50 = 0. Suppose -2*t = 3*y + 15, -t = -3*t - y - s. Let p(x) = -2*x**3 - 2*x - 921. Let w be p(t). Round w to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 58544 or 29075?\nAnswer: 58544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 3*h + 2914, 3*s + 6 = -0*s. Suppose 0 = 5*k - 2*f - 5560 - 1251, k + 2*f = 1367. Let j = k - h. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*q + 5*q + 3. Suppose l = q*o - 197 - 241, 2*o - 2*l = 296. What are the prime factors of o?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 4*l**2 - 24*l - 10. Let n(d) = -d**2 + 5*d + 2. Let z = 99 - 49. Let v be z\/20 + (-1)\/(-2). Determine v*y(a) + 14*n(a).\nAnswer: -2*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 275.3473 millimeters to meters.\nAnswer: 0.2753473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 2*j**2 - 7*j + 217. Let v be m(0). Let c = v + -214. Solve -c + 1 = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 7*d - 4*d + 103 = 11*d, 0 = n - 2*d - 11 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10581283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6341341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 874 a factor of 1698249890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/3781 and 21\/38?\nAnswer: 7562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**3 + 5*b**2 - 5*b + 3. Let s be j(3). Solve -z = 9 - s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.07 * 157891.\nAnswer: 11052.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 1835\/10633?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 3 - b + ((-7 - 3 + 2)*(2 - 4 + 3) - 2 + 5 - 2)*(-760 - 54*b + 760) to p + q*b and give q.\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-7 - -3)\/((-1)\/2). Let r(i) = 3799997*i + 16. Let q be r(m). Suppose 4*x - 3379949 = -5*l + 34620059, 4*l - 4*x = q. Round l to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*g - 48*g - 615 = -95*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 620060107 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 43748 - 524977\/12. Put 1\/6, -41\/67, s in ascending order.\nAnswer: -41\/67, s, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uiu when three letters picked without replacement from {i: 1, f: 4, h: 5, u: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (-15 - -1) - 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 0.04, -1\/3, 2\/5, -1\/63, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 257*z + 63052 = 268*z. What is the remainder when z is divided by 117?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 2*u**2 - 4*u + 4. Let c(d) = -d**3 + 6*d**2 + 49*d - 186. What is the least common multiple of p(4) and c(9)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -411 - -2312?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve v**4\/4 + 3831*v**3\/4 + 43687*v**2\/2 - 199920*v = 0.\nAnswer: -3808, -30, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1066\/69 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 - 7*r**2 + 9*r + 32. Give y(-7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 4*b + 124 = 0, 7*j = 8*j + 3*b - 61. Is j bigger than 257\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -a1 - -5?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times 295\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -788 * -55.7\nAnswer: 43891.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 32*h + 61. Let c be l(-4). Let j = c + 68. Solve 0 = -3*x - j - 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -79*j + 89. Let l(w) = -533*w + 623. Let h(f) = -4*l(f) + 27*x(f). Let i(o) = 13*o**2. Give h(i(c)).\nAnswer: -13*c**2 - 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*m**2 - 19 + 10*m + 19.\nAnswer: 3*m**2 + 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24*f**2 - 5 + 5 - 53*f**2 to the form i*f**2 + z + y*f and give i.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = u - 11, 4*z - 10 = 2*z + u. What is the remainder when 12 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -761 = -19*f + 155*f + 599 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 + 8*u**2 + 5*u + 3. Let c = 1702 + -1709. Give f(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -cb60 + -1b?\nAnswer: -cb7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 81.16302km?\nAnswer: 8116302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2157116.8 and -0.3.\nAnswer: 2157116.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a millennium in centuries?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10907, 21792, 32687, 43598, 54531?\nAnswer: 65492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 198665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -5*i**3 + 276*i**2 - 67*i + 658. What is o(55)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1610\/1840)\/(7\/(-2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from xyynyny.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.6 - -1.4. Let u = 0 + z. Suppose 0 = 2*l + 2 + 8. What is the third smallest value in -2, l, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*r - 78089 + 234213 - 78057 - 78067.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 344 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*i + 6354 = 6408 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10538 - -10558. Which is the closest to k?  (a) -5  (b) 3\/4  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 897436 is divided by 299121.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 151 (base 16) to base 5\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -308*w + 96*w + 108*w - 52 - 4*w**3 + 104*w.\nAnswer: -4*w**3 - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83 = 7*a + 4*w, 1546*w - 51 = -4*a + 1542*w + 5 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-10 - -12) + (-894)\/(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -463, 238, -1, 3, 5 in increasing order.\nAnswer: -463, -1, 3, 5, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 0 + 123\/5*i**2 - 66\/5*i**3 - 12*i + 3\/5*i**4 = 0.\nAnswer: 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 2 o when four letters picked without replacement from {k: 4, o: 3, t: 4, j: 3}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - -0.5. Let m = -30.1 - -36.6. Let y = m - j. Is 12 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1697?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/6 and 71\/328?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 119\/(3 + 14) - 25*(-2)\/(-8). What is the third smallest value in -629, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(3\/7)*i*i\/(i*i**(1\/29)*i) assuming i is positive.\nAnswer: i**(80\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 2 + 5)*(-39*t**3 + 11385*t - 8*t**2 - 3518*t**3 + 11382*t - 22767*t).\nAnswer: -3557*t**3 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2315 is divided by 973.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 507*x**2. Let r(j) = -2*j. Calculate i(r(c)).\nAnswer: 2028*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14*d**4*i - 4*d**2*i + 13*d**2 + 4*d*i - 3*d + 8*i - 45 wrt d?\nAnswer: -168*d**2*i - 8*i + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 14*k**2 - 38. Calculate u(-3).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 387370 is divided by 2374?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -10 times 1.24\nAnswer: -12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*38\/12*(-7 + -44). Is (y - (5 + -3)) + -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 3, -3, 0.089?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d - d - 12 = 4*w, 0 = 2*d - 3*w + 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/4155 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 642468.\nAnswer: 2, 3, 37, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.95 + -0.05. Let b be -3 + (0 - (-4 - 0)). What is the nearest to b in -4\/3, 1\/4, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1238.696 from 0.1008744.\nAnswer: 1238.7968744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, 21, 79, 191, 375, 649, 1031, 1539?\nAnswer: 2191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 + 5*m + 7. Let i be w(6). Let c = 0.29 - -0.01. What is the smallest value in -0.5, i, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 720749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = 3*g. Suppose -2*d - 26 = -l, g = 3*d + l - 3*l + 41. Let y = -8 - d. Solve -4*w + 14 - y = -u, -5*u = 4*w - 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 276789*w**2 + 336142.\nAnswer: 553578*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 - 4*d + 8 + d + 2*d. Let o(y) = -2*y**2 - 3*y - 1. Let m be o(-1). Calculate t(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 52888209?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1056.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**2 + a. Let y be (-1)\/(-1 - (-117)\/120). Let t be 8\/(-36) - y\/(-18). Let o(s) = s**2 - 3*s + 5. Let z(q) = t*m(q) + o(q). What is z(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-6)*u*u**(-7))**(-15)\/(u\/u**2*u**8*(u\/(u\/(u*(u\/((u**(3\/4)*u*u*u)\/u))\/u*u)))\/((u*((u**1*u)\/u)\/u)\/u)) assuming u is positive.\nAnswer: u**(695\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1537, 1538, 1539, 1540, 1541, 1542?\nAnswer: 1543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -269*g**3 + 2*g**2 - 3*g + 2. Let y be h(5). Let d = y - -23588. What is d rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 570 and 76?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1059348173 plus -446?\nAnswer: -1059348619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((sqrt(560) - sqrt(560)*-2)\/sqrt(10))\/(-1*sqrt(16)\/sqrt(2))*-1)**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -5*((-6)\/15 + 0). Suppose -w = p*i - 6*i + 23, -2*w + 2 = 0. Solve 0 = i*g - 3*g + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 99 and 12054317?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 26\/12 - -2*2\/(-24). Solve -3 = w - 5*b, 0 = 2*w - 6*w + x*b - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*a = -69*a + 9*a. Sort -3, a, -1, -4.\nAnswer: -4, -3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 207*b*m**4*s**3 + 4*b*m*s**3 + b*m*s - 4*m**2*s**3 - 80*m*s**2 + m*s wrt m.\nAnswer: 2484*b*m**2*s**3 - 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -28*z**2\/5 + 26*z\/5 + 2\/5.\nAnswer: -2*(z - 1)*(14*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -346*f**2. Let p(t) = 443182 - t - 443182. Determine l(p(g)).\nAnswer: -346*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2302281198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -2\/13 - 4\/13*d - 2\/13*d**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*l**2 + 191 + 121 - 238.\nAnswer: 7*l**2 + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 15, -5, -7.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 41706282949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6285, -12588, -18889, -25188, -31485, -37780, -44073?\nAnswer: -50364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 101 - 95. Suppose 5*d + c = -4, 2*k + d + 86 = 0. Which is greater: -43 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 - -4)\/2 - -7. Solve 5*j - 2 - 8 = 5*o, -4*o = -q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13307674 (base 8) in base 7?\nAnswer: 34244203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 136\/(-12) + (-2)\/(-6). Let i = y - -8. Let d be (2\/4 + -1)\/(3\/12). Which is the third biggest value?  (a) i  (b) -0.2  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17 + -11. Let q(v) = 7*v**3 - 24*v**2 - v + 11. Let z(k) = -8*k**3 + 27*k**2 + 2*k - 14. Let r(h) = 7*q(h) + 6*z(h). What is r(s)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.013555332 rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*n**2*q**3 + n**2*q*x + 1964*n**2*q - 5*n**2*x - 234*n*q**3*x wrt x?\nAnswer: n**2*q - 5*n**2 - 234*n*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 2*r + 0 - r + 0. Let d be m(-6). Let p(i) = -i**3 - 7*i**2 - 9*i - 7. Calculate the remainder when p(d) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + -2*20\/(-8). Let d = -1 - q. Is -2 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16122.3 + 15205. Let g = t - -1181. Let y = g + -275. What is y rounded to zero decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times 1.364\nAnswer: -0.4092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 40874940 by 95058.\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ubquppuqybpbbbbbz. What is prob of sequence uz?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8?  (a) -1236  (b) -3  (c) 0.012  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 137 - 92. Let l = z + -4. Suppose -43*j = -l*j - 74. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.42 + 0.42. Sort 3, -0.4, -2, i in decreasing order.\nAnswer: 3, -0.4, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 6*v + 5*l - 8 = 0, 3*v + 5*l - 29 = 0. Let w(i) = -i**2 - i + 6. Let x be w(-4). Let o = x - -1. Put o, 5, v in descending order.\nAnswer: 5, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + r = -3, 3*r = 2*r - 3. Suppose m + z*m = 11. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 634.89963 rounded to the nearest 10?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from upiuidzdiiddiiiiii.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 20 + 20. Solve -8*m + 11*m - 3 = b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 172 divided by -19\nAnswer: -172\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1222a (base 13) in base 7?\nAnswer: -166112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + o = -6*n + 116, 0 = 3*n - o - 76. Calculate the greatest common divisor of n and 992.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*i**3 - 4*i + 16?\nAnswer: -60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 - -8. Let z(u) = 2*u - 5. Let g be z(5). Suppose g*t = t + 8. Solve -a*j - 1 = -t*j, i - 5*j = 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p*p*p\/p**2*p*p*p)**(-8)*p\/p**(-3)*(p\/(p*(p*(p\/(p*p\/(p**(2\/7)*p*p)))\/p*p)\/p*p))\/p*p assuming p is positive.\nAnswer: p**(-268\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 2 - 23. Let t be 5\/(-10) - (-63)\/6. Let n = c - t. What is the greatest common factor of n and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 13\/(65\/(-10))*(-1 + -1). Suppose -w*f = -f + 501. Let t = -93 - f. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 3, o: 1, v: 12, n: 2, z: 2}. Give prob of picking 2 b, 1 o, and 1 v.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 84 (base 11) to base 6\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3432974 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 30749976 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 + -7 + 1 + -1. Is (l - -1)\/(5\/(-5)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 2*c**2 - 64*c - 640. Give r(40).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1679*g - 1239*g + 1215*g.\nAnswer: -1703*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -20\/315057473 and -32\/253.\nAnswer: 3465632203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 367024 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 2174449*o. Let m(q) = -7*q - 2. Determine m(f(d)).\nAnswer: -15221143*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 151\/5850 and -53\/7330.\nAnswer: 4288050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(1\/2)\/(a**(6\/5)*a)*(a**(3\/7)*a)**28)**(18\/7) assuming a is positive.\nAnswer: a**(3447\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 6*l. Calculate w(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + 6*i + l - 100, i - l = 20. Let s = 932 - 922. Calculate the remainder when i is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes before 12:52 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + 0. Let k = g + -1.16. Let y = k - -0.06. Which is the closest to y?  (a) 0.3  (b) -2  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32dca3 (base 14) in base 3?\nAnswer: 10020211000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9466808 divided by -26?\nAnswer: -364108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 4, d: 6, o: 2}. What is prob of sequence wwo?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 3 - 7 = 0. What is the units digit of (l + -21)*(-27)\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.07 and 2.09?\nAnswer: 4.3263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m\/(m\/(((m\/(m**(15\/4)\/m*m))\/m)\/m))))**37*(m*m**(-1\/26))\/m**(-2\/81) assuming m is positive.\nAnswer: m**(900257\/4212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i**3 - 4*i**3 + 4*i**3 + (1 - 1 + 2)*(-i - i**3 + i) + 3*i**3 + 2*i**3 - 3*i**3 + (i + 2*i - i)*(6*i**2 - i**2 - 3*i**2) + 3*i - 3*i + 6*i**3.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11400 * 62.\nAnswer: 706800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzzzzzzzzz. Give prob of sequence zz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 - -3. Suppose -m = -z - 5 + 23, -z - 4*m = -43. Sort z, -5, n in decreasing order.\nAnswer: z, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = 4*v - 52, -v + 61 = 3*l + 12. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 + 7 - (9 + -6). Let y(d) = 7 + d - 24*d**w + 8 - 14. Is y(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -19, 0.0612, -5?\nAnswer: 0.0612","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*c + 216 = -5*c. Suppose -24 = -2*t + 3*b, 0*t + 12 = t - 4*b. Calculate the greatest common factor of t and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-10)\/15)\/((-2)\/(-6)) - -3. Let x(v) = -4 - 5399998*v + 1 + k. Let o be x(1). What is o rounded to the nearest 100000?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7212087 to the power of 1\/2, to the nearest integer?\nAnswer: 2686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 361723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the first derivative of 0*s**3 - 4 + 0*s - 1\/20*s**5 + 1\/8*s**4 + 7\/2*s**2. Let h(a) be the second derivative of r(a). Factor h(y).\nAnswer: -3*y*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3275478 - 4?\nAnswer: 3275474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*p - 1 + 7*p - 3*p)*(-46*p**4 - 117*p**4 + 61*p**4).\nAnswer: 918*p**5 + 102*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 466239197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 7 + 255555*t**2 - t - 3 - 2. Suppose 3*j = 4*x + 9, -3*x - 2*j = x + 14. Let z be l(x). What is z rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -6 - 152a4a?\nAnswer: -152a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 74427589 to the nearest integer?\nAnswer: 8627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 173 + -161. Solve n = 4*r + 4*y, -4*y + 12 = 4*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.22 - 0.18. Let b = v - -4.96. Let y = -5 - -2. What is the second smallest value in -2\/11, y, b?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23 - 2. Let i = 8557.2879908 + -8536.288. Let p = x - i. What is p rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 12*s - 2. What is f(-2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = -16, n = -396*k + 398*k - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 38 - 18. Suppose 1 - 22 = 2*y - h, 5*h = -15. Let w = d - y. Calculate the highest common divisor of w and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/5*30\/(-4). Suppose p*c = 6*c - 18. What is the second derivative of -i**3 - 11*i**3 + c*i - i**3 + i**3 wrt i?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, i: 1, j: 4, g: 9}. Give prob of sequence ijm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1652057 to the nearest integer?\nAnswer: 1285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2160497376?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2339 + -259547.\nAnswer: -259546.7661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 3983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -6460975774 + 0.3\nAnswer: -6460975773.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 140*17\/((-680)\/(-330))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16151 + -16142. Let w be 0\/((-4)\/(-2)) + -2. Let p(s) = 4*s**2 + 17*s + 4. Let n(m) = m**2 + 4*m + 1. Give j*n(u) + w*p(u).\nAnswer: u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the third derivative of x**5\/30 + 1008*x**2. Let w(k) = -k + 1. Let m(r) = -10*r - 7. Let c(l) = -m(l) - 5*w(l). Give c(n(o)).\nAnswer: 30*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 2*x - 1 = 14, -3*x + 40 = 5*i. Let p be 6\/(0 - -3) + i. Differentiate p + 0 - 3 - 1 + 8*b with respect to b.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 7 - 10572?\nAnswer: -10568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 17, 26, 35?\n\"Answer: 9*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 + 10. Suppose -4*g + p = -29. Suppose q = -0*q + g. Calculate the remainder when 23 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 - 30422?\nAnswer: -30415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 0*i = 3*i, 5*j + 10 = 5*i. Let t(z) = 4*z**2 + 1. Let q be t(j). Suppose q*f + 8 = -2*s + 28, s = -5. Let v(h) = h - 2. Calculate v(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11 and 1541910?\nAnswer: 16961010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express ((3 + 2*l - 3)*(l + l - 3*l) + l**2 + 3 - 3 - 9*l + 9*l + 4*l**2 - l**2 + 0 + 0)*(-4 + 0 + 3) as z*l**2 + y + f*l and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 2 = -4*a, m - a = -0 + 23. Calculate the smallest common multiple of m and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.838 from -2146030.426.\nAnswer: -2146031.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1516623590 rounded to the nearest 100000?\nAnswer: -1516600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -221*i + 19*i = 520*i - 42999 - 8985 for i.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j**3\/6 - 129*j**2 - 10231*j\/6 = 0. Calculate j.\nAnswer: -13, 0, 787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-4)*0\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -14308*b**2 - 21742?\nAnswer: -28616*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -3*o**2 + 95*o - 736. Calculate c(10).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -708*b - 714*b - 711*b + 2130*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 885, -5, 2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k + 9. Let z be r(-7). Suppose 4*q - 2*o - 10 = 0, -q = 5*o + 3 - 0. Suppose -q*l + 4 = -m + 3*l, 0 = 4*m + 3*l - 7. Solve m = -3*j + z*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -7*(-1 + -3 + 3). Suppose -2*l = -t*l + 22500000. Suppose 2*m - 7*m = l. What is m rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*a**3 + 0 + 0)*(0*a + 3*a - a) - 7*a**4 - 15*a**4 + 17 + 21*a**4 to the form g + d*a**3 + n*a**2 + f*a**4 + t*a and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -2832 < -2807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15033 - 7512 - 7519 - 4*r**3 - 82*r**4 to c + k*r**4 + p*r**2 + g*r**3 + w*r and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (142\/(-147))\/(115\/(-255)). Let k = l + 1\/1127. What is the common denominator of 57\/22 and k?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/10)\/((-4)\/20). Is (-2)\/(j - (-120)\/63) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13 and 10907.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1404 by 351.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.541 + 902.459. Let t = n + -902.4595. Let d = t + -0.0185. Round d to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 475455907?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*r + 90*r = 341 + 183 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-20)\/(-90))\/(1\/(-6)))\/((-258)\/(-2709)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(832) + (1 + sqrt(832) - sqrt(832)))*-2*2)**2 - (2 + (-6*(sqrt(1872) + 1))**2)) + -3.\nAnswer: -54105 - 608*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.88, 3, -949\/2.\nAnswer: -949\/2, 2.88, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 210042 = 10*n - 68958. What is the ten thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/((b*(b\/(b*b*b**(5\/2)*b*b)*b)\/b)\/b)*b\/(b*b\/(b*b**3)*b))\/((b**(6\/11)\/b)\/b*b*b\/(b*b\/b**0*b)) assuming b is positive.\nAnswer: b**(241\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 11 + -17 + 13 + 38 + -2?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 36\/45*(310\/3)\/(168\/63)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -1146668770 to the nearest 100000.\nAnswer: -1146700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2.58 or -3\/5?\nAnswer: -2.58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -62\/9979 or 7?\nAnswer: -62\/9979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - -12 - 1 - 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - 122020120221?\nAnswer: -122020120210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -33\/2557 and 37\/7.\nAnswer: 17899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/6 and 33\/1334.\nAnswer: 4002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 - -111?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 38 = 42. Let y be (0\/((-1)\/(-1)))\/(-2). Which is the second biggest value?  (a) -1\/7  (b) y  (c) n  (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 12469737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2118*q - q**4 + 6*q**2 + 2118*q + (4*q + 2*q + 0*q)*(3*q**2 - 2*q**2 + 2*q**2 + q**3).\nAnswer: 5*q**4 + 18*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16 and 984.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + 10*(-78)\/84?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 783985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 2 a, and 1 k when four letters picked without replacement from tarimrmk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 8877, 8942, 9047, 9198, 9401, 9662?\n\"Answer: p**3 + 14*p**2 + 16*p + 8846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 570 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -86 - -126. Suppose -3*b - k = m - 112, -54 = -m + 3*b. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q**2 + 4*q**2 + q**3)*(8 + 10 - 8).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10166 is divided by 3385.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, -8, -57, -158, -329?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 288 - (-3)\/(((-24)\/(-4))\/(-12)). Suppose 0 = 5*b - o + 3, -5*b - 4*o + 10 = -2. Suppose 10*j - h - 368 = b. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14 and 1841?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.02?  (a) -1  (b) -3  (c) 16  (d) -47\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 370.66 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u - u + 3*u)*(-u + 0*u + 2*u + (-2 + 4 - 4)*(2*u + 0*u - 3*u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 60 and 515?\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t + t - 2*t)*(2*t + 0*t - 4*t) + 8*t**2 - 3*t**2 + 6*t**2 + (0*t + 2*t - 3*t)*(-3*t + 0*t + 2*t) - 3*t**2 + 5*t**2 + 0*t**2.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13834407 to the nearest integer?\nAnswer: 3719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bsrevbvvfrvrv. Give prob of sequence fbr.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3449168 + 3449168 + 12*c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 49592 and 185970.\nAnswer: 743880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as 11\/724263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 60 + -189 + (5 - 18 - -23).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -2788 + 2788 + 253*n**2. Let h(m) = 2*m. Calculate d(h(i)).\nAnswer: 1012*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 50\/75 + 20\/6. Solve -i*f = 3*r + 13, -3*r + 5*f = -r - 22 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-one halves of a milligram in micrograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kgjk when four letters picked without replacement from {g: 4, k: 4, u: 3, j: 4}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*f - 4*f + 3*f + (-12 - 22 + 6)*(-1 + 3 + 1)*(-4 + 4 + f).\nAnswer: -82*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/62925 and -73\/450.\nAnswer: 377550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -33126, -33130, -33134, -33138, -33142, -33146?\n\"Answer: -4*n - 33122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 45*j**2 + 2. Is s(-2) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 PM and 3:40 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (440\/(-80))\/(3\/(-6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*b - 21*b - 1155 = 0. Let s(o) = o**2 + 15*o + 4. Let h be s(-15). Suppose -h*y - b = -9*y. What is the remainder when y is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 + 11. Let m(s) = 7*s + b - 1 + 0*s + 4*s**2. Let y(g) = 2*g**2 + 3*g + 1. What is 2*m(f) - 5*y(f)?\nAnswer: -2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5296, 15080, 24864, 34648?\nAnswer: 44432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2100, -4171, -6190, -8133, -9976, -11695, -13266, -14665?\nAnswer: -15868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.293?  (a) 4  (b) -4  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lg when two letters picked without replacement from {k: 2, l: 5, g: 13}?\nAnswer: 13\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*i - 44*i = 78 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -9, -3, -323 in descending order.\nAnswer: 0, -3, -9, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from xqxxqxxq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2044 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: Rearrange 45*i**4 - 87*i**4 + 94*i**4 + (2*i**3 - 3*i**3 + 2*i**3)*(2 - 2*i - 2) to the form h + b*i**4 + g*i**3 + y*i**2 + l*i and give b.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -264.567 or -6?\nAnswer: -264.567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 22*w**2 - 93*w + 14. What is the hundreds digit of l(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -3*l**2 + 140*l + 49. Calculate u(47).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 10.46336 millimeters?\nAnswer: 1.046336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-21)\/(-5) - 2\/10. Suppose l - 43 = 3. Suppose 0*w + l = 5*a + w, w - 1 = 0. Solve k*f - 9 = -j, j + 2*f = -4*j - a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -4718007.\nAnswer: -2\/4718007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -3*a - 1. Suppose -38 + 143 = 21*s. Let z(h) = 9 - 3 - s + 0. Determine n(j) + 3*z(j).\nAnswer: -3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 - 7*a**2 + 5*a + 8. Let s be z(6). Let v(c) = 6*c + 1. What is the tens digit of v(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12822442 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o = -3*o - 48. Suppose -3*n + o = n. Suppose 0 = l + n*l - 2*a - 38, 0 = 4*l + a - 33. Solve l*k = 3*k - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6\/12)\/(2\/8). Suppose b*y + 0*y - 52 = -2*l, y = 4*l - 119. Suppose 0 = v - 5*d - 9 - 2, -5*v - d + l = 0. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 52 = -4*t, -17 = -m + 2*t - 5*t. Suppose m*j**2 + 49 + 25*j + 10*j + j**3 + 7*j**2 + 28*j = 0. Calculate j.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*i - 8 = 73*i - r, -4*i + 6 = 7*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59288*m**3 - 118414*m**3 - 45*m + 59127*m**3 - 47*m.\nAnswer: m**3 - 92*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 109 divide 88604\/12 - (200\/(-150) - 1\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/629328 and 35\/14984.\nAnswer: 629328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-714)\/(-24) + (2\/8 - 0). What is the highest common factor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -9\/156929?\nAnswer: -9\/156929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -60*f**3 - 3*f**2 + 8 + 183*f**3 + 0*f**2 - 61*f**3 + 2*f - 61*f**3 to i*f**2 + m*f**3 + o + h*f and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**0*a)**(-1\/20)*(a\/(a\/a**(-1\/6)*a))\/a**(-2\/21))**41 assuming a is positive.\nAnswer: a**(-6437\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 201*u**3 - 2204*u**2 - 319*u + 2665. Calculate j(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w - 13. Let h be k(13). Let q(t) = -t + 3. Determine q(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1794 = -5*q + 4*d, -17*d = -12*d + 20. Which is smaller: -363 or q?\nAnswer: -363","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(19) + sqrt(19)*2*-6 + 4.\nAnswer: -11*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of i**2*n**2*r**3 - i**2*r**2 + 14*i*n**3*r + 51*i*r**3 + 4*n**3*r**3 - 5*n**3*r + 2*r**2 wrt r?\nAnswer: 6*i**2*n**2 + 306*i + 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*a**4 + 2*a**4 - 3*a**4 + (4*a**3 - 4*a**3 + a**3)*(2*a + 3 - 3) + 2*a**4 + 4*a**3 - 4*a**3 + 3*a + a**4 - 3*a.\nAnswer: 11*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 20916 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of 2*o**2 - 17*o + 1143. Determine u(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*f - 352 = 3*f + 2*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -166904.\nAnswer: -1\/41726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2022, -2023, -2024, -2025, -2026, -2027?\nAnswer: -2028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102792 is divided by 17129?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(-1\/4))**(2\/27)*(k*k*k*k\/k**(-1)*k*k)**(-6)*((k**2*k)\/(k*k\/(k\/k**(-1))*k))\/((k*k**(-2\/9)*k)\/k**(2\/15)) assuming k is positive.\nAnswer: k**(-3743\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -99 and -2.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 1 t when three letters picked without replacement from {l: 2, g: 4, t: 2, p: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 16, -5*z = -3*z - 2*d + 4. Let g be (-7)\/(-14) - z\/(-4). Let r(h) = 12*h**2 + h. Determine r(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 19*(-2 - -2 - 1). Let l(y) = -y**3 + 5*y**2 + 5*y + 2. Let n be l(4). Let a = v + n. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 57681.297 microseconds?\nAnswer: 0.0000160225825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.124 and -1.2.\nAnswer: -1.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of 40\/3*c**3 - 6*c**4 - 16*c**2 - c - 2\/15*c**6 + 21 + 7\/5*c**5. Factor i(w).\nAnswer: -4*(w - 2)**3*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-121600)\/485184 + (-4)\/114\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 7*w + 28. Give g(-10).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 30487359 to the power of 1\/3, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -324*w**4 - 522*w**2 wrt w?\nAnswer: -7776*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -4*y. Let l be j(-1). Suppose 0 = 2*o + l*m - 2, 3*o - 4*m = o - 6. Let t be (-44)\/(-11) - (o - 1). Calculate the greatest common divisor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-28)\/(-18))\/(28\/882*(858\/(-13))\/22)?\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbw when three letters picked without replacement from {g: 1, w: 1, l: 1, b: 2, r: 2, o: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2 + -243)\/(18\/18). Let h = 249 + x. Solve 5*r - h = -4*n + 3*r, 2 = n + 2*r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 2\/3*z**3 - 2\/3*z**2 + 4\/3*z.\nAnswer: -2*z*(z - 1)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-35)\/21*36\/(-2). What is the remainder when 93 is divided by 10*3\/(c\/32)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*n**2 + 10570*n - 1211535.\nAnswer: 5*(n - 109)*(n + 2223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1041064 divided by -358?\nAnswer: 2908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 255 (base 8) to base 16.\nAnswer: ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 1 + 84*z - 75*z - 3 - 7 - 4*z**2 + 5*z**2. Give f(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put together 0.2 and -1198.\nAnswer: -1197.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 31?  (a) -3  (b) -0.8  (c) -17  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11, 59, 223, 563, 1139, 2011, 3239, 4883?\nAnswer: 7003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, 0.1, -14.53, 3, -1?\nAnswer: -14.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 12 = 2*u - u, -3*s + 18 = 3*u. Let q = 1 + 0. What is the least common multiple of u and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10101100 + 0?\nAnswer: 10101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -53*m + 4. Let r(f) = 52*f - 3. Determine 5*l(s) + 6*r(s).\nAnswer: 47*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2340034011 (base 5) to base 15.\nAnswer: -717ddb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 105, 704, 2275, 5304, 10277, 17680, 27999?\n\"Answer: 81*p**3 + 32*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/(-1)*(-16)\/32?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.2 - -0.3. Let j = 47 + -33. Let x = -14 + j. Which is smaller: s or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (48\/15)\/((-5)\/25). Calculate the common denominator of 67\/8 and (-2)\/18*2424\/x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 45*m**4 - 6316*m**3 + 250865*m**2 - 1989650*m + 676000 = 0. Calculate m.\nAnswer: 16\/45, 10, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = j + 163168, j + 16 - 12 = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 552948 divided by 276474?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 - -7. Let l = 6 + r. Factor -4 + s**2 - 2*s**l + s**3 + 3 + s.\nAnswer: -(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -3\/14, -27, -4 in decreasing order.\nAnswer: 2\/7, -3\/14, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:07 PM and 10:31 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -702\/11 - -64. Is s >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 546.9502 millennia to decades.\nAnswer: 54695.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = p - 5*p - 40, -4*p + 8 = -4*t. Let q = -6 - t. Find the second derivative of 0*g**5 + 2*g**5 + 2*g + q*g**5 wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.2 and 63.8?\nAnswer: 63.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 3*b - 0, 2*p = 4*b - 2. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 4*t - 18 = 0. Let n(v) = 2 - t*v + 2*v**2 + 8*v**2 + v**2 + 4*v. Calculate the remainder when 43 is divided by n(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (128\/(-5) - (-74)\/(-185)) + 1. What is the second smallest value in -0.13, l, 5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 3*k = -85, 9*a - 5*a + k = 340. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + 3*b = 85, 3*b = 3*m - 762 + 822 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 775, 747, 701, 637?\n\"Answer: -9*y**2 - y + 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(210)\/(sqrt(56)\/sqrt(8)))\/((sqrt(120) + sqrt(120)*-4)\/sqrt(12) + sqrt(10)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42412?\nAnswer: 2, 23, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7320 + -7352. Let g(f) = -12*f + 32. Let s(n) = n - 3. Let h(k) = k - 1 - 6*k + 4*k**3 + 0*k + 3*k. Let c be h(-1). Determine c*g(u) + v*s(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 15*m + 108. Let g be w(-6). Differentiate 48 + 155 - g*a + 40*a - 163*a - 45 wrt a.\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 5*j**2 - 3*j + 1. Let f(k) = 13 - 2*k + 4*k**2 + 4 - 16. Let r be 6\/(-8)*(1 + 3). Let b = -6 - r. What is b*f(s) + 2*h(s)?\nAnswer: -2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide (10\/2 + -1 - 7) + 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 12, 1169, -2, 7.2, -7.\nAnswer: -7, -2, 0.5, 7.2, 12, 1169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes after 5:37 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 13*o**2 + 4 - 2 in the form l*o**2 + v + y*o and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 116 minutes before 10:04 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -216*u**2 + 30025*u - 152. Give t(139).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*v**2 - 14*v**2 - 9*v**2 - 3*v + v**2 + 3*v + (5*v - 3*v + 0*v)*(0 - 2*v + 0))*(-3 + 3 + 1)*(-10 + 13 - 8).\nAnswer: 95*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 93*k. Let a(x) = 71*x. Determine y(a(h)).\nAnswer: 6603*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let 14492*f**3\/9 + 130436*f**2\/9 - 144848*f\/9 - 80\/9 = 0. Calculate f.\nAnswer: -10, -2\/3623, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-2\/13)*p**(-16\/7))\/((p*p\/p**(-5\/12))\/p**(-5\/9)))**(-24) assuming p is positive.\nAnswer: p**(35458\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 12886, 26148, 39410, 52672?\n\"Answer: 13262*l - 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 43*u - 425*u + 3 as y*u + h and give y.\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**0)**(23\/5))**(-22\/9) assuming a is positive.\nAnswer: a**(-506\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -146 divided by -1.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xlt when three letters picked without replacement from obxtpoopxxtpppxplpo.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 5*t + 25 = 0, -t + 5 = 3*z - 12. Solve -20 = u - z*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 + -99 + (-17 - 6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/40*-36*(-4484)\/(-342)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((h*h*h**3*h)\/h)\/(h*h**(2\/5)))**(-1))**31)**47 assuming h is positive.\nAnswer: h**(-26226\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-3)*y**5*y*y*y**6*y**2)\/(y\/y**(-6)*y*y**(2\/11)*y*y*y**(-2)*y*y**4) assuming y is positive.\nAnswer: y**(-13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**3\/9 + 5926*l**2\/9 - 11906*l + 53658.\nAnswer: 2*(l - 9)**2*(l + 2981)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**4\/4 + 5001*y**3\/2 - 9993*y**2 + 9990*y.\nAnswer: -3*y*(y - 3330)*(y - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -91 - -95. Solve 2*d - 5*g + 29 = 7, -k*d + 12 = 4*g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -426343948*w. Let n(s) = -4*s. Give r(n(o)).\nAnswer: 1705375792*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t\/(t*t**(-4)\/t*t)*t)**(-36)*t\/(t*t**(-9))*t**(13\/3) assuming t is positive.\nAnswer: t**(-608\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -2*v + 2. Let i be (-4)\/8*(2 + -2). Let o be f(i). Suppose 6*k = o*k - 8. Put 0, k, -3 in ascending order.\nAnswer: -3, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -3*t + 13. Solve 5*f - 3 = t*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33\/(1386\/48) + (-640)\/(-28)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 37772 - -45?\nAnswer: 37827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.3 - 5.3. Let n be (-10300)\/440*24\/10. Let d = 56 + n. What is the second smallest value in a, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17466650 (base 9) to base 15\nAnswer: -b877d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -251 - -1481. Suppose -3*g - 3*h = -m, -5*h = 3*g - 2*g - 430. What is the remainder when g is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 122, -59, -238, -415, -590, -763, -934?\nAnswer: -1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/(7 + -5))\/7*-21. Let u(k) = -k. Let m(h) = -44*h. Give o*u(c) - m(c).\nAnswer: 41*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1177 (base 12) in base 5?\nAnswer: -30323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8336 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 139, 273, 407, 541, 675, 809?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -5*z**3 + 4*z**2 - z. Let c(h) = 9*h**3 - 7*h**2 + 2*h. Let m be 34\/5 + (-8)\/200*-5. What is m*r(l) + 4*c(l)?\nAnswer: l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 31 + -6 + (7 - 15) + 8 + 11?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40700.\nAnswer: 2, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*l**2\/4 - 18823761*l\/2.\nAnswer: -3*l*(l + 12549174)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -3*g**2 - 11*g + 4. Let j(n) = -5*n**2 - 23*n + 7. Let u(s) = 7*b(s) - 4*j(s). Find the second derivative of u(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 477116?\nAnswer: 2, 181, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4217, 8410, 12581, 16730, 20857, 24962, 29045?\nAnswer: 33106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -118, -449, -992, -1741, -2690?\n\"Answer: b**3 - 112*b**2 - 2*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (55\/20)\/(15\/1440*-12)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:17 PM and 9:30 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 18646 not equal to 18622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 44, -1, 1 in increasing order.\nAnswer: -1, 1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 + -35. Let u = 114 + h. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -51*m. Let p(g) = 249*g - 385. Let v(d) = -p(d) - 6*x(d). Give v(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 3*q**3\/4 - 39*q**2 - 196119*q\/4 = 0.\nAnswer: -231, 0, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18991?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.29, -2, -77, 0.5 in descending order.\nAnswer: 0.5, 0.29, -2, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 0*g**2 + 2*g**2 - 4)*(52839 + 359*g - 52839) as t*g + o*g**3 + i + v*g**2 and give t.\nAnswer: -2154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, b: 2, t: 1, a: 8, u: 4}. What is prob of sequence atu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/(w*(w\/(((w*(w*w**28*w)\/w*w*w)\/w)\/w*w))\/w*w))\/((w*w**(-2\/19)*w)\/w))\/(w**(-3\/7))**26)**(-7\/6) assuming w is positive.\nAnswer: w**(-5353\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c**3\/3 + 109460*c**2 - 218922*c + 328384\/3 = 0.\nAnswer: -164192, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*d = 91503 - 31711. List the prime factors of d.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 - 14. Suppose -3*j + 7*j = -64. Let p = l - j. Solve 0 = -0*h - p*h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2568)\/963*465\/20?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 47647.791 nanoseconds to days.\nAnswer: 0.0000000005514790625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5\/(-10)*2)\/((-2)\/(-18)). Let y(j) = 2*j**2 + 7*j + 32. Is y(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1\/(-1))\/((20\/4)\/(-10)). Suppose -q + 4*y - 1 = 2*y, d*q - 33 = -3*y. Let z(f) = -2 + 7*f - 25*f**3 + q*f**2 + 50*f**3 - 24*f**3. Give z(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61359078.\nAnswer: 2, 3, 11, 23, 83, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*k = 10*k + 14*k - 40992. What is the highest common divisor of k and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l + 2 = -10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**6*f*f**(-6))\/(f**(1\/2))**20 assuming f is positive.\nAnswer: f**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2025 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 46\/273411 and -58\/1071.\nAnswer: 1913877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -532 - -546. What is the least common multiple of q and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*d - 53 = 827 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 4*b = 0. Suppose x - 18 = 2*z, 4*z - 2*z + 6 = b. Let u be x\/28*7 + 272 + 1. What is the greatest common divisor of 46 and u?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -21 + 26. Suppose 4*i + 64052 = -0*i. Is (-6)\/(-15) - i\/r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73040 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -31*o - 3. Let t = 34 - 5. Let x = t - 14. What is the remainder when l(-2) is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -34 - -32. Let t(c) = -c - c**3 - 4*c + 2*c - 4*c**2. Calculate t(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the first derivative of -1665*f**4\/4 + 4*f**3 - 3*f**2\/2 + 2*f + 6471. Find the third derivative of x(u) wrt u.\nAnswer: -9990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -65, -9, -4, 1 in ascending order.\nAnswer: -65, -9, -4, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.004806629 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 487 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 515194 is divided by 896?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + 24*(-5)\/70 - 18\/14. Let g(o) be the first derivative of -5*o**4\/4 + o**3 + o**2 + 1. Let q be g(i). Calculate the highest common factor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -35, -28, -17, -2?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/360 and 149\/656580.\nAnswer: 3939480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -255*w + 680 = 6166 + 1399 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*m - 3*m + 0*m)*(-2*m**4 - 4*m**4 + 0*m**4).\nAnswer: -36*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 + 20. Let x = t + -21. Let h = x - -43. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 538, 536, 534, 532, 530, 528?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -69207 and 1.246.\nAnswer: -86231.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14714*x - 441 = 14651*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -6*u + 3*u + 0*u. Let p(i) = 15*i**2 + 13*i**2 - 32*i**2. Determine p(d(o)).\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(1 + sqrt(405)) - sqrt(405)) + -4 + (-2 + -2*sqrt(405) - (1 + sqrt(405) + -4))**2)*-6.\nAnswer: -21828 + 594*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4 and -420.36?\nAnswer: 424.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + (-5 - -7) - (-93 + 129).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 24 - 59 = 0. Which is greater: -8 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-11)\/(-15) - 2\/5. Let l = 37\/9 + -13\/3. Let d = 25\/44 + -9\/11. Put x, l, d in descending order.\nAnswer: x, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -174*q**2 + 57*q + 52*q + 54*q + 169*q**2 - 163*q.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15298 - 10542 = -164*p for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 428330099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**3 + 20*o**2 + 49*o - 113. Let d be h(22). What is the nearest to 0 in d, 0, -2\/7, -6\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15513\/21 + -11 + (-2)\/(-7).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 355, 354, 353, 352, 351, 350?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -5 + ((-4*sqrt(112)*-6 + -5*sqrt(112)*-3)*-3)**2.\nAnswer: 1533167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2189 + 2189 + 9*r**2.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (875 + 1164 - 477)*(-y - y**3 + y) + 0*y**3 + y**3 - 2*y**3 + (2 - 5 + 5)*(4*y**3 + 3*y**3 - 5*y**3) in the form x*y**3 + u*y + a + z*y**2 and give x.\nAnswer: -1559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-5)\/(-15))\/((-1)\/(-12)). Let s = -102 + 105. Suppose 4*c + q = 13, 4*c - a*q - 16 = s*c. Solve -2*t + 2*n + 2 = c*n, 0 = -2*n + 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 + 4*c + 2. Let u be j(3). Suppose -5 = u*z + 10. Which is bigger: z or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3873 or -3874?\nAnswer: -3874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the first derivative of s**3\/3 - 2*s**2 - 2*s - 137. Calculate u(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3619 - -3621. Solve -1\/2*z**4 - 2*z + 2 - 3\/2*z**y + 2*z**3 = 0 for z.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 5*s + 1265 = 4*n, -s + 1271 = 5*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**2 + q - 3. Let h be m(0). Let t be ((-6)\/5)\/(16\/(-40)). Sort -2, h, t in descending order.\nAnswer: t, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -24 + 20 + (-24)\/(-1). Suppose -5 = -5*m + a. Which is bigger: m or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bo when two letters picked without replacement from {b: 1, e: 2, d: 1, o: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is (1\/(-4))\/((-2)\/3928) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -233270, -933093, -2099464, -3732383, -5831850, -8397865, -11430428?\nAnswer: -14929539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 522*t - 444 = 526*t, 429 = 5*f - 14*t. Factor -1\/5*d**2 - f - 10*d.\nAnswer: -(d + 25)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 1:52 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.084745854 and -4.508?\nAnswer: 4.592745854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 480\/55 - (-30 + 26) - 13?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -267, -76, 105, 276, 437, 588?\nAnswer: 729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/(-12) + 8\/(-12). Let w(v) = -v - 1. Let d(i) = 5*i - 19. Let f(y) = y - 9. Let b(z) = -4*d(z) + 9*f(z). Calculate p*b(a) + 6*w(a).\nAnswer: 5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 4140 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: Work out -43.039 - 6.967815.\nAnswer: -50.006815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 3447 divided by -6\nAnswer: -1149\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2771, 2776, 2791, 2822, 2875, 2956, 3071?\nAnswer: 3226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 142316 - -4\nAnswer: 142320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/2685 and -23\/159520?\nAnswer: 85662240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3 + 20*o**2 + 35*o + 1741. Determine a(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3135.8 times -0.24?\nAnswer: -752.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tuc when three letters picked without replacement from {t: 1, n: 10, u: 2, l: 3, q: 1, c: 1}?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18 + 10 + -1)\/(-1 + 3 + -1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + -12. Let z = -34.5 + 36.5. Put j, -5, z, 0.1 in ascending order.\nAnswer: j, -5, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 o, and 1 b when three letters picked without replacement from {o: 1, b: 2, t: 2, e: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzzzwzzzkwzzzk. What is prob of sequence wkwz?\nAnswer: 11\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 97667.77 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 + 7)*((111 + a + 7*a - 6*a)*(a**3 - 4*a**3 + a**3) + a**4 - 4*a**4 + 2*a**4).\nAnswer: -45*a**4 - 1998*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.47 less than -0.9?\nAnswer: -6.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**2. Let p(y) = 7*y**2 - 26*y. Calculate f(p(l)).\nAnswer: -49*l**4 + 364*l**3 - 676*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/992946 and -43\/1095?\nAnswer: 4964730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.131292739 - 0.1313. Round c to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -2*r - 14763 + 14763. Let g(d) = -1220*d. Calculate g(k(y)).\nAnswer: 2440*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 23751 and 23751?\nAnswer: 23751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.3 - -1.7. Let x = l - 1.998. Let s = 0.328 + x. Round s to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 2*m + 50 = 4*n, -5*m + 65 = 2*n. Suppose 73*h = 71*h + 12. Solve -h*i = -i - n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -509\/41410 + 7\/1230. Sort 1, y, -3, 4\/5 in decreasing order.\nAnswer: 1, 4\/5, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.298*-6527\nAnswer: -1945.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qtq when three letters picked without replacement from {e: 3, q: 5, z: 2, t: 5, h: 4}.\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/46 - 4991\/(-2645). Suppose -2*x = 3*x - 5*s + 5, 6*x - 2 = -2*s. Factor -13\/5*y**4 - u*y**3 + x - y**5 + 2\/5*y + 1\/5*y**2.\nAnswer: -y*(y + 1)**3*(5*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 274 + -232. What is the remainder when n is divided by 32?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -2. Let b be 1 + 0\/1 - 4. Let j = h - b. Solve 3*z + z + w - 16 = 0, 2*z - w = j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 466*j - 25079 + 25079.\nAnswer: 466*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 5102377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4360047*g**3 - 2*g**2 - 1207139*g wrt g.\nAnswer: -26160282*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 282362 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1325323 + 0.4.\nAnswer: -1325322.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, k: 1, e: 1, d: 4, q: 5, w: 2}. Give prob of sequence di.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 492, 500, 522, 564, 632, 732?\n\"Answer: o**3 + o**2 - 2*o + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:23 AM and 1:30 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = v - i, 0*i + 13 = -4*v + i. Let a = v - -7. Suppose -a*b - 1 + 11 = 0. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((-2*sqrt(572))\/sqrt(11) - sqrt(208)*-2))\/(-1*((sqrt(400) - (sqrt(400) + (sqrt(400) - (5*sqrt(400)*2 - sqrt(400))) + sqrt(400))) + sqrt(400))).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - -77?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 2844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10*(-1081)\/235*-1.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 34367 + -32989.3. Round g to the nearest 10.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 1. Let r(o) = -216*o - 6. Let j(v) = 5*a(v) + r(v). Let u(d) = 431*d + 1. Let t(b) = 5*j(b) + 3*u(b). Is t(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.1 + 0.9. Let y be 3\/(-3) + 8\/7. What is the second biggest value in y, c, -4\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1168005 and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -206460 * -0.2\nAnswer: 41292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 24 - 5 - 18 + 693*p to the form m*p + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**2 + 2*a. Let t be k(-1). Let b = 11 - t. Suppose -g - n = -0*n - 14, -g + 4 = -4*n. What is the greatest common factor of g and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11089433 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b + 8. Calculate x(32).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 10 - 45?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 2)*(191*r**4 + 59*r**5 - 191*r**4).\nAnswer: -59*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 31, 29, 27?\n\"Answer: -2*t + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5326413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 29*t**2 + 4*t + 3. Calculate v(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-76)\/(-19))\/(-12)*-1*(-9)\/138*2.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the third derivative of b**4\/6 - b**3\/2 + b**2. Let z(k) = -k**2 + 6*k + 7. Let r be z(7). Suppose 0 = d - r*d - 2. Calculate h(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the second derivative of -347*f**6\/10 - 595*f**4\/4 - 1966*f. Find the third derivative of h(w) wrt w.\nAnswer: -24984*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 8, 22, 38, 56, 76?\n\"Answer: s**2 + 11*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 32030 + 63246?\nAnswer: 125306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23 - 43. Let h = 30 + r. What are the prime factors of ((-5)\/h)\/((-1)\/24)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**2 + 20*u - 12. Calculate the lowest common multiple of b(19) and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -162 + 843 = 3*n + 3*f, 0 = -2*n - f + 449. Solve 0 = 217*s - n*s - 40 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 15*k - 17. Suppose -3*u = -2*i - 10, 0 = 3*i + 3*u + 2 - 17. Which is the nearest to k?  (a) 1\/7  (b) i  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:11 AM and 4:43 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 7, 11, 4\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 86*t + 5827. Give v(-68).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) - (sqrt(76)\/sqrt(4) + -3)**2)*5.\nAnswer: -140 + 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(4500) + 3*sqrt(4500)*-6))\/((sqrt(324) + sqrt(324) + (1*sqrt(324)*-5 - sqrt(324)) + sqrt(324) - sqrt(324))*-4).\nAnswer: -85*sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 503 + -1024?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**3 + 6*h**2 + 3. Let w be i(6). Suppose -w*j = 2*j - 80. Suppose j + 24 = 4*q. What is the highest common factor of 90 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79707?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 730, 732, 736, 742, 750, 760?\n\"Answer: b**2 - b + 730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 + 7*i - 2. Let w be p(6). Let m be (w\/14)\/(1\/14). Solve 5*l = -0*b + m*b - 23, -b - 4*l = 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/9, 1, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -4*s + 1. Let p be h(-3). Calculate the remainder when (p\/(-3))\/(5\/(-15)) is divided by (2\/(-6) + -2)*-3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*a - 20 = -18*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -2*p**3 - 6*p**2 - 14*p - 15. Let g be n(-2). Which is the closest to 0?  (a) 0.3  (b) -5\/2  (c) -3\/7  (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*d + 4*d. Suppose l + 4*q = 75, d = 2*l - 3*q - 4 - 190. List the prime factors of l.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-8)\/(1\/(2 + -1)). Let d be (-5)\/2 - 12\/l. Let j be d - (2 - 14) - -1. Solve 2*h - j = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -8*a**2 - a**3 + 2 - 11*a**2 - 11*a + 7*a**2. Let j be i(-11). What is the third derivative of 28*g**5 - 2*g**j + 0*g**2 + g**2 - 23*g**5 wrt g?\nAnswer: 300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 2*(1 + sqrt(300)))**2 - (-6*((0 + sqrt(300) - sqrt(300)) + -1))**2.\nAnswer: 40*sqrt(3) + 1165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 56 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**3 + 15*s**2 - 10*s + 3. Let x be j(12). Let k = x - 159. List the prime factors of k.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 3*q - 1578 = 0, -56*n + 2*q + 1573 = -53*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -5, -0.8, 0.36, 1\/6?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 3, -7314 in increasing order.\nAnswer: -7314, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2.8, -0.2, 2039349, 1\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the third derivative of 1\/120*m**6 + 0*m**5 - 2*m**2 + 0 + 0*m**3 + 0*m + 1\/12*m**4. Find the second derivative of l(s) wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 8 = 2*s, -5 = 3*s + 3*a - 2*a. Let x = 6 + s. Let j(m) = m**3 - 4*m**2 + 3*m - 6. What is the units digit of j(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*p**3 + 1527 + 9*p**2 - 1527)*(-p - 3*p + 2*p) in the form w + h*p**4 + d*p + r*p**3 + o*p**2 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 + -1 - (-2)\/2. Let j(t) = t**2 + t - 10. Let l be j(3). Let i(n) = -23*n**3 - 2 - 2*n + 3 - 21*n**3 + 43*n**3 + 2*n**l. What is i(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 864 divided by 16\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k + 5. Let c = -1 - -1. Let t be p(c). Solve t + 0 = -5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 4\/5 and 1.602 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + 2. Let f be (-98)\/(-8) - 5\/20. Suppose w - 4*z = f, -3*z = -3*w + 7*w - 10. Sort w, 1, u.\nAnswer: 1, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f - 91*f**3 - 3 - 8*f**3 + 100*f**3. Determine m(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 204*r - 11*r + 10*r - 157934. Which is smaller: r or 782?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 36 + -26. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - -13 - 8) + (-4 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -86239341, -172478685, -258718029, -344957373, -431196717, -517436061?\n\"Answer: -86239344*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 4. Suppose -7 = -o*c + 2. Suppose 0 = c*p - 0*p - 135. Find the common denominator of 21\/4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -4*o + o**4 + o**3 - o**2 + 4*o. Let s(q) = 4*q**4 + 6*q**3 - 6*q**2 - q. Let j(m) = -s(m) + 6*u(m). Find the second derivative of j(l) wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*f**3 - 151266*f + 151266*f.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 1 - 5 = 0. Suppose -3*z + p = -109, -z + 3*p + 13 = -10. What is the remainder when z is divided by 3 - -5*(h + 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1644 by -411.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -1, -97, 345\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -158*h - 2099. Calculate m(-13).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-36))\/((-4)\/(-2)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 AM and 1:09 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 196*p**2 - 175*p + 68. What is the remainder when k(-6) is divided by 141?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 3*f**3 - 17*f**2 - 153*f + 6. Let x(s) = -3*s**3 + 18*s**2 + 155*s - 8. Let q(v) = -4*u(v) - 3*x(v). Find the second derivative of q(j) wrt j.\nAnswer: -18*j + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 105 - -177380?\nAnswer: 177485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is 4457 divided by 2?\nAnswer: 4457\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -556 at least 291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 5 = -3*t, -5*r - 2*t + 13 = -7. Let g(s) = s**3 + 5*s**2 - 2*s - 7. Let o be g(-5). What is the greatest common factor of r and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**2\/p)\/(p\/p**(-3\/8)))**(2\/7))**(-2\/7) assuming p is positive.\nAnswer: p**(3\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 - 0. Let f = 29 - h. Calculate the remainder when 64 is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ntaa when four letters picked without replacement from {n: 4, a: 5, t: 2}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -4375 plus -0.01?\nAnswer: -4375.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11, -12, -59, -136, -249?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 3, x: 1, m: 4, u: 2}. Give prob of picking 2 m, 1 s, and 1 x.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0366 times -907?\nAnswer: -33.1962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, -4, 2, 36, -5, 581, 1 in descending order.\nAnswer: 581, 36, 2, 1, -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0924191588 rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 2*p + 7. Let m(t) be the second derivative of t**3\/6 + 3*t**2 - 12*t. Give 4*m(l) - 3*x(l).\nAnswer: -2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 233 + (-1 - 8) + 30\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/6 of a millennium in months?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 66307726 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: Evaluate -44*(-13)\/52 + -12 + (15 - 11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -38291*f**4 + f**2 + 61193 wrt f?\nAnswer: -153164*f**3 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 + (-8)\/(-2 + (-8)\/(-3)). Let s be 0*(j\/(-6) - 2). Which is the second smallest value?  (a) s  (b) 5  (c) -1  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*(w\/w**9)\/w*w)\/w)**(-21)\/(w**(2\/33)*w)**(-2\/63) assuming w is positive.\nAnswer: w**(49906\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (22 + (-8)\/(-8))*(0 + 68). Suppose -22*g = -26*g + 4*v + x, 2*v = g - 393. Is g != 388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -33\/8 and -91\/236.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 97, -0.03, 2\/5, 0.9 in decreasing order.\nAnswer: 97, 4, 0.9, 2\/5, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 50*t**3 + 7*t**2 + 5 + t - 22*t**3 - 27*t**3. Let s be i(-7). What are the prime factors of (-17745)\/(-119) - s - 2\/17?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10830 (base 9) in base 13?\nAnswer: 33a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*3\/4*8556\/(-279). Is 28 a factor of 11574\/14 + u\/(-161)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.03422 to 4 decimal places.\nAnswer: 0.0342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 + 317?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 90746 <= 90736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = 560 - 570 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Do -45441 and -45430 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 5*u - 131, u + 0 = 5. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the second derivative of -g**7\/42 + 13*g**4\/12 - 119*g**3\/3 + 88*g + 2. What is the second derivative of s(k) wrt k?\nAnswer: -20*k**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-20)\/(-6)*30\/(-25). Is (-22460)\/(-16) + 1 + (-1)\/j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -a*g*v**2 + 53450599*a*g + 458833*a*v**2 + 2*a + 2*g*v wrt v?\nAnswer: -2*a*g*v + 917666*a*v + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 728994809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 375 = 10*y - 366, 0 = 3*z + 5*y + 43 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 81*g - 136*g + 220. Let n(l) = l - 1. Let k(u) = 3*u. Calculate g*n(q) - k(q).\nAnswer: q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3664.91 - -3692. Let u = h + -27.4781. Let d = u + 0.39. What is d rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 6670125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 1339 + 1358 = y, 2*d - 8 = 0. Suppose 3*z = z + 2. Let o be (-14)\/8 - (z + -3). Which is the closest to y?  (a) -0.4  (b) o  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10376690 and 184705082.\nAnswer: 923525410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -19579.409525 + 9345.5295. Let m = i + 10234. Let h = 0.12 - m. Round h to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 + 10102?\nAnswer: 10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -18.0197 rounded to one dp?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + (2 - 12 - (-4 + 5 + 0)) + 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 574856 or -64?\nAnswer: 574856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3  (b) 3  (c) -5  (d) -1.9  (e) -11\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 30*q + 17. Let b be g(11). Let f = -173 + b. Round f to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27013.71303 rounded to the nearest ten?\nAnswer: -27010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 5, -1, -1\/21, 1\/3, -3\/76, 2\/1015, 1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -63\/107530 and -17\/190.\nAnswer: 2043070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccz when three letters picked without replacement from zucuzcfcc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-m**2 + 4*m + 2*m**2 + 2*m**2)*(-3*m + 14*m + 0*m) to t + j*m**3 + l*m + g*m**2 and give g.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5536178 divided by 13.\nAnswer: -5536178\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -715*r. Let t(d) = 34*d. Let k be (176\/(-64) - (-1)\/4)*2. What is k*a(y) - 104*t(y)?\nAnswer: 39*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.9 - 5.1. What is the biggest value in j, -2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - z = -3. Let u = 495249 + -495248.7. Let s(b) = b - 10. Let l be s(8). Sort l, z, u, -5 in ascending order.\nAnswer: -5, l, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -46.1 + -199.9. Let a = -245 - j. What is the closest to a in 0.3, -1, 12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -14*d + 1. Let w be z(-1). Let m be (-1)\/(26\/14 + -2). Let i = 10 - m. Calculate the highest common factor of w and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/3  (b) 5  (c) -0.3  (d) -0.1  (e) 53784\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qgghmqqghhdqddhmdhq. Give prob of sequence gq.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 24410 + 0?\nAnswer: 24410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -3*s. Let w(r) = 15*r**2 - 12*r - 6. Let o(h) = 28*h**2 - 22*h - 11. Let i(d) = -6*o(d) + 11*w(d). What is j(i(m))?\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3444?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 80.7 or -5210\/223?\nAnswer: 80.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -0*i + 9. Let f be 1\/(-4) + 4\/((-64)\/(-180)). Suppose -i = 2*c - f. Calculate the highest common divisor of c and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of 7*h**6\/15 - 11*h**5\/30 - h**3\/6 + h**2 + 33. Find the third derivative of s(j) wrt j.\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6\/17, 1\/23, 17\/5 in decreasing order.\nAnswer: 17\/5, 1\/23, -6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 + 2. Let m be ((-27)\/4)\/(13\/52). Let z be 0 + 0 + 6\/m. What is the closest to z in 4, v, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven fifths of a micrometer in nanometers?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 38 - 28. Suppose -m*x = -15*x + 250. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m = 2*m - 0*m + 3*x - 3, 42*m - 179*m + 3*x = 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r + 3*r + 130. Calculate the remainder when ((-23)\/3 + 2)*-1*57 is divided by r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + x = 5*v, 0 = -4*v - x. Solve 0 = r + c + 3, v = -4*r - 3*c - 0 - 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12469\/2838 + 185\/86. Which is smaller: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -21, 4, -10, -34 in ascending order.\nAnswer: -34, -21, -10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -33\/40 + 9\/40. Let f = 0.3 - 0. Sort -4, f, r in decreasing order.\nAnswer: f, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1800 - 1725. Solve s = -6*t + 31*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -51*l. Let s(h) = 114*h. Calculate j(s(k)).\nAnswer: -5814*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2, 0.5, 4, -1\/12, 4525 in increasing order.\nAnswer: -4, -1\/12, 0.5, 2, 4, 4525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -462*j = -464*j + 6. Let x = 1 + 4. Let a = x + -4. Put -4, a, j in increasing order.\nAnswer: -4, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 + 8*r**2 - 6*r - 4. Let g be y(7). Factor 6*b**4 + 3*b**5 + 38*b**g - 38*b**3 - 3*b - 6*b**2.\nAnswer: 3*b*(b - 1)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 - -37?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1940, -9803, -22908, -41255?\n\"Answer: -2621*t**2 + 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3833000696.\nAnswer: 2, 7, 109, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 4*h = 640, 2*m - 5*h - 58 = 256. Let a = m + -482\/3. Determine o, given that -10\/3*o**2 - 14\/3*o**5 + 6*o**3 + 0 - a*o + 10\/3*o**4 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -7*l - 9*l**3 + 6*l**2 + 20*l**3 - 7*l - 5*l + 13*l. Let o(c) = -21*c**3 - 11*c**2 + 11*c. What is -11*b(k) - 6*o(k)?\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 1521*l**2. Let k(u) = -1 - 5655*u**2 + 5 + 5654*u**2 - 4. Give q(k(j)).\nAnswer: 1521*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -117\/25540 and 21\/280940.\nAnswer: 280940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 31 + -53. Let p = 21 + l. Let h be 6\/(-15) - (-64)\/10. Which is the second biggest value?  (a) p  (b) -2  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1262, -3205, -5828, -9131?\nAnswer: -13114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 4*d - 8004 = 0, 51*r - 54*r + 4796 = 4*d. What is the lowest common multiple of r and 336?\nAnswer: 33600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 28210 at least as big as 28209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14080 + -13916. Solve k*w - 14 = 178*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -301, -609, -917, -1225?\nAnswer: -1533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the second derivative of g**5\/50 + 676*g**4\/15 + 456976*g**3\/15 + 2760*g. Determine u so that r(u) = 0.\nAnswer: -676, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 4*q + 6*q = 22, 28 = 2*a - 2*q. Let s(h) = -h**2 + 4*h - 3. Let j be s(2). Is 8 a factor of j\/(a\/(-72))*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -5*s**3 + 2*s**2 + s + 2. Let q be h(-2). Let r be q\/(-28) - 4\/14. Which is bigger: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 133439.25 months to millennia.\nAnswer: 11.1199375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 0*i. Let v be (9 - (4 - 2)) + i. Let j = v + -4. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -11*z**2 - 17*z**3 + 12*z**2 - 2*z**3 - 5*z**3. Let h = -107 - -156. Calculate the remainder when h is divided by n(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-6)*h)\/h*(h*h*h*(h**0*h)\/h)\/h assuming h is positive.\nAnswer: h**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -137 + 346. List the prime factors of g.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1222.999163 - -1223. What is q rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 7 = -10, 5*t = -5*m + 13085. Suppose -18*y = -11*y - m. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3050, -3042, -3038, -3038?\nAnswer: -3042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 3 = -5*r - 13, 4*r - 23 = 3*i. Solve 5*k = r*q, q - k = 5 - 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -249, -261, -273?\n\"Answer: -12*r - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3\/7 or -77733669?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 6919*o**2 + 10*o + 3. Let h be m(-2). Suppose -113*u + 96*u = -h. List the prime factors of u.\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10586*r - 5252*r = 5275*r - 177 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -151.38 to the nearest integer.\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cq when two letters picked without replacement from clqqlclolblqqqbqb?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -2*b**2 + 24*b - 10. What is u(12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 10, i: 4, r: 2, b: 3}. Give prob of sequence rbb.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 32 + -14 - (66 + -49). Suppose x + 8 - 35 = 0. Suppose -o + x = -8. Which is greater: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09978 take away 10308591.3?\nAnswer: -10308591.20022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -40*7\/((-21)\/(-6)). Find the common denominator of (-68)\/3*25\/n and -15\/7.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 - (54\/24 - 3). Let o(q) be the first derivative of -3 + c*q**6 - 3\/4*q**4 + 0*q + 6\/5*q**5 - 3\/4*q**2 - 2*q**3. Find m, given that o(m) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -157*l**2*t*v - 4*l**2*t - 11*l*t*v - l*t - 17*l - t*v**2 + 2*t + 275 wrt v.\nAnswer: -157*l**2*t - 11*l*t - 2*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express ((4 - 4 - 1)*(2*b + 3*b - 6*b) + 8*b + 3*b - 6*b + 3*b - 3*b - 5*b)*(-6*b**2 - 2*b**2 + 0*b**2) as q*b + d + i*b**2 + p*b**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -93 + 103. Suppose -2*y + 4 + 14 = m, -m + n = y. Let b(d) = d - 16. Give b(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-80*m**3 + 80*m**3 + 76*m**4 + (-4*m + 5*m - 2*m)*(6*m**3 - 5*m**3 - 13*m**3))*(-1 - 1 + 6)*(1 - 3 + 0).\nAnswer: -704*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*y**4 + 1237*y**3 + 6384*y**2 - 3852*y = 0.\nAnswer: -107, -6, 0, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 706227?\nAnswer: 3, 151, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*h**3 - 2*h**2 - 1159*h + 1159*h - 522 as j + t*h**3 + o*h + f*h**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*p + 186 = -18*p. What are the prime factors of p?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:29 PM and 11:29 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 36467440?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**2 - 7*k + 3. Let u(r) = r**2 + r - 1. Let z(j) = s(j) + 2*u(j). Determine z(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 117 - 127. Let k = 16 + w. Let i be 11 - ((-2)\/1 - -2). Let b(o) = -7*o - 9. Let l(p) = 13*p + 17. Calculate i*b(r) + k*l(r).\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 2*sqrt(13)*5 - ((sqrt(832) - (3 + sqrt(832))) + -5).\nAnswer: 5 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 301, 1319, 3007, 5365, 8393, 12091, 16459?\nAnswer: 21497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from wgfziwibz.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 203 - -10?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 take away 10.518336?\nAnswer: -10.818336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.32 - 0.02. Sort -3, 2\/7, 3, m in ascending order.\nAnswer: -3, 2\/7, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -61452220 - 1.02.\nAnswer: -61452221.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 895 + -3635\/4. Let m be (1\/(-7) - 585\/(-126))*-4. Find the common denominator of (97\/2)\/(5\/(45\/m)) and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -209, 0.2, 1.\nAnswer: -209, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rff when three letters picked without replacement from fgtffrfkkffrfqtfq?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from emheu. Give prob of sequence meh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -1278000 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (-7)\/(-21) - 10188\/(-54) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1439536800 to the nearest one hundred thousand.\nAnswer: -1439500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from sjjxjsxjjxs.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 520, 512, 488, 442, 368, 260, 112?\n\"Answer: -k**3 - 2*k**2 + 5*k + 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -25*h**3*o*x**2 - 6*h**3*o*x + 549*h**2*o*x**5 - h**2*o*x + 12*h*o*x - 4*x - 1 wrt x.\nAnswer: -50*h**3*o + 10980*h**2*o*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -2588 >= -2613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 146 = -4*m + 6*m. Suppose -3*w = -122 - m. Suppose 2*k - 25 - 1 = 0. What is the highest common factor of w and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the first derivative of -o**4\/12 - 5*o**3\/9 - o**2\/2 + 7*o + 2. Let x(k) be the first derivative of g(k). Factor x(l).\nAnswer: -(l + 3)*(3*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 0*v - 3*v = -60, 0 = -3*l - v - 58. Is 4\/l*-71 - 2\/(-9) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 6*r - 12. What is the remainder when 120\/10 - 3\/(-1) is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 21 = -z - 27, 3*z = 0. Find r such that 10\/3*r**2 - 6 - 2\/3*r**q - 2*r = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4731 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 8 - 7 + 9 + 4 + 2*f**2. Let c(l) = -2*l. Determine c(j(d)).\nAnswer: -4*d**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37 = -61*u + 454 + 119 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -213664401 greater than -213664401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1054.98  (b) 6\/7  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**2\/8 + 415479*n\/4 + 57540933147\/8.\nAnswer: 3*(n + 138493)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the second derivative of -q**6\/180 - q**5\/60 + q**3\/18 + q**2\/12 + q. Factor t(j).\nAnswer: -(j - 1)*(j + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 4.184354 milligrams?\nAnswer: 4184354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -7, -2\/9, 5 in descending order.\nAnswer: 5, 3, -2\/9, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/2?  (a) 0  (b) -4  (c) 10  (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000052347 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 503 + -4?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k. Let l(b) = b**2 + 14*b - 6. Let u(s) = -l(s) - 6*t(s). Let g be u(-7). Suppose 3*v = g - 1. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/(v*v\/v**(-10))*v*v\/(v*v**0)*((v**(-8\/5)\/v)\/v*v)\/v*v**(1\/10)*v*v assuming v is positive.\nAnswer: v**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vkiikmiivmv. Give prob of picking 2 v.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 + (-43 - -3) + -62?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(6*(sqrt(450) + -3*sqrt(450))\/sqrt(9))\/(sqrt(1210)*1 - 5*sqrt(50)\/sqrt(5))*2.\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2613454727 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) -125  (c) 0.87  (d) 1\/1240  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -165*g + 57*g - 79*g + (-4*g + 2*g + g)*(1 - 1 + 4) to the form a*g + x and give a.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(931) + 1*sqrt(931) + -1 - (-2 + sqrt(931)*1 + sqrt(931)) - (-1 + (-2*sqrt(931) - sqrt(931)))*-5) + 4)**2*6.\nAnswer: 2520*sqrt(19) + 1256874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 109*b = -44805 + 50255 for b.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 117\/100 and 89\/140.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 2*(-1 + (sqrt(2880)*5 + sqrt(2880))\/((sqrt(4) + sqrt(44)\/sqrt(11))*1)*-1))**2.\nAnswer: 864*sqrt(5) + 25956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16 + -10. Let n = 38 - b. Suppose -8*s + n = -6*s. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -55, -178, -309, -454, -619, -810, -1033, -1294?\n\"Answer: -j**3 + 2*j**2 - 122*j + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 2*q. Let a be g(3). Solve w = a*w + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2203023 (base 5) to base 4\nAnswer: 21100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 - (2018 + 2) - (-5 - -7). Round o to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31904758189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 8*h**2. Let j(c) = c + 2. Let o(g) = 34*g - 20. Let d(w) = 20*j(w) + 2*o(w). Calculate d(u(q)).\nAnswer: 704*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/(l**13*l*l)*l**(2\/9)\/l*l**(-3\/22)\/(l**18*l*l) assuming l is positive.\nAnswer: l**(-6913\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 5*l + 26, -3*l - 5*g + 19 = 5. Sort l, -3, 6 in descending order.\nAnswer: 6, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 4*n**2 + 2*n. Let r(h) be the third derivative of -h**5\/20 - h**4\/12 - 17*h**2. Let x(i) = -5*g(i) - 6*r(i). Factor x(f).\nAnswer: -2*f*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b + b + b)*(-7*b + 10*b - 13*b).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the first derivative of 0*z**4 - 2 - 3\/5*z**5 + 0*z + z**2 + 0*z**3. What is the second derivative of o(q) wrt q?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2*(54\/(-12))\/9*(-45)\/27. Which is the smallest value?  (a) 1\/8  (b) 0  (c) -1  (d) 0.2  (e) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -123 divided by -116?\nAnswer: 123\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -609*l = -610*l - 15. Suppose 5*n + i = -15 + 143, -3*n = 3*i - 72. Let t = n + l. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 3*m + 264 = 0, -z - 262 = 2*z - m. Let q = -14 - z. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 698907 and 330?\nAnswer: 6989070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*i + 20 = 11*i. What is the nearest to i in -2, -1, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8 by 12377.\nAnswer: 8\/12377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sbss when four letters picked without replacement from {b: 1, s: 3, x: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 + 1)*(o**3 - o**3 + 6*o**3) + 6*o**3 + 5*o**3 - 9*o**3 to w*o**3 + p + f*o**2 + b*o and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xoxsbboobooo. Give prob of sequence bos.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2680*a**3 - 2682*a**3 + 3824365 - 3824365.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1170 and 1620?\nAnswer: 21060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the second derivative of 0*h**2 + 0 + 95\/12*h**4 + 0*h**3 + 43*h. Let s(j) = 2*j. Calculate s(y(i)).\nAnswer: 190*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 37 = -5*h, 6*h + 3*t - 13 = 11*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -5  (b) 11  (c) 1\/3  (d) 1\/19  (e) 0  (f) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**3\/2 + 40037*z**2\/2 + 200460224*z + 1802520882.\nAnswer: (z + 9)*(z + 20014)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8663*j*k + 136*j - k - 67 wrt k.\nAnswer: -8663*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 87854741 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 105481674 to the power of 1\/3, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 - (-6 + 4))\/(-1). Let y(w) = -w. Let l(d) = -12*d. Give t*y(c) + l(c).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86*j + 10*j - j = -3768611. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 - 5*f**2 + 0*f**2 + 1 + 1 - f**3 to the form v*f**3 + k + n*f**2 + q*f and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*o - 18*o + 68*o = -1054 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 141324 by 23554.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1\/2)\/r**(-4))\/(((r*(r\/r**(2\/15)*r)\/r*r)\/r)\/(r**5*r)) assuming r is positive.\nAnswer: r**(229\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u + 7. Suppose 12 = 2*g + g. Suppose -16 = 4*t + g. Let q be w(t). Solve -q*v + 12 = -6*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -48*y**3 + 2*y**2 + 2*y + 1. Let o be v(-1). Suppose 245 = -44*n + o*n. Let t = n - 14. What is the greatest common divisor of t and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 2 - 3)*(4*l + 5*l + 2*l)*(535*l + 24*l**2 - 535*l) to c*l + d*l**2 + z*l**3 + p and give z.\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 539 divided by 64.\nAnswer: 539\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1322892 is divided by 615.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*c**3 + 3*c**3 - 5*c**3)*(c - 2*c + 0*c) - c**4 + 2*c**3 + 4*c**2 - c**3 - c**2 as d*c**2 + k + w*c**3 + m*c + g*c**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 108 and 204236?\nAnswer: 5514372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/4)\/(1850\/5920)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*t**2 + 3*t**2 + t**2)*(86 - 85 - 9*t + 66*t) in the form f*t**2 + b*t**3 + k*t + r and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -610246*l**6 + 3*l**4 - 9*l**3 + 10313*l**2 - 2*l + 98 wrt l?\nAnswer: -73229520*l**3 + 72*l - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g - 4*g + 3*g - 3*g + 2*g - 3*g + (-1 - 1 + 0)*(-4 + 2*g + 4) - 2*g + 2*g - 2*g + (g + 5 - 5)*(-1 + 2 + 1) + 0*g - g + 0*g)*(4*g - 2*g - 3*g).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1, 263 in descending order.\nAnswer: 263, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:02 AM and 3:36 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -77 - 5*v**2 + 43 + 34 - v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 156.2 - 172. Let g = 7.8 + q. Which is the closest to 1?  (a) 5  (b) -4  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 - 1)*(6*j - 3*j + 0*j)*(29*j + 7*j - 11*j).\nAnswer: -225*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2*((-16)\/(-24) - 4\/(-3)). Suppose 2*p - 90 = 2*h, -4*h - 174 = 2*p - d*p. Let w = h + 50. Solve 2 - w = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1895*b**2*k + 276*b*k**2 + b + 11*k**2 + 2*k - 5554 wrt b?\nAnswer: 3790*b*k + 276*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 3\/((462\/33)\/(-126))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 67 + -18. Let s = -22 + f. Suppose -4*h + s = -3*o, 8 = 3*h - o - 6. Solve p = h*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -50, -77, -118, -179, -266, -385, -542, -743?\n\"Answer: -l**3 - l**2 - 17*l - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the second derivative of o**6\/15 + 99*o**3\/2 - 561*o**2\/2 + 90*o - 2. What is the derivative of r(n) wrt n?\nAnswer: 8*n**3 + 297","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 9, -1613, 3 in ascending order.\nAnswer: -1613, -5, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 366919 a multiple of 371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j. Suppose 0 = -5*m - 6 + 26. Let r be m - (-8)\/(2 + 2). Let q(d) = r*d**2 - 3*d**2 + 2*d**2. Determine q(y(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1269184, -2538378, -3807572, -5076766, -6345960, -7615154?\n\"Answer: -1269194*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m + 267 = 750. Let z = m - 59. Suppose 88 = 22*o - 18*o. Calculate the least common multiple of o and z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1170)\/4290 + (-12)\/(-22)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 18 = 2*t, 10640*i - 10652*i = -3*t - 27 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 394074, 1576234, 3546482, 6304818?\nAnswer: 9851242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -u + 3*i, 5*i = 0. Is 4\/561 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 659 * -539\nAnswer: -355201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 - 225412?\nAnswer: -225412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*o + 4*o + 0*o + (-o - 3*o + 2*o)*(1 - 4 + 2))*(3 - 4 + 3)*(-42 - 36 - 39) in the form m + h*o and give h.\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/54 and 41\/1170?\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-2\/3)*j*j**(-5\/3)*j*(j\/((j*j*j*j*j\/(j\/j**(3\/4))*j)\/j))\/(j\/(j*j**(1\/8)*j)) assuming j is positive.\nAnswer: j**(-71\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 255389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 82 + -82. Solve k*r - 3*l + 25 = 5*r, -15 = -3*r - 5*l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 585 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 + 328\nAnswer: 327.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-48)\/576*117\/3)\/((-2)\/(-24))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1276585 - 11?\nAnswer: 1276574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.1 times -0.0224?\nAnswer: -0.13664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/1890 and 53\/810.\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.979439586 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(84)\/(2*sqrt(12)) - (sqrt(7) + -3*sqrt(112))*-5)**2.\nAnswer: 19663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 + 0. Let i = 4 - -8. Solve -4 = -5*p + l*p - u, 5*p - 3*u = -i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9108 and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:22 AM and 5:13 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 2*n = -459. Let f = -21 - -38. Calculate the greatest common divisor of n and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*q**4 + 10*q**4 + 6*q**5 + (9*q**4 - 6*q**4 + q**4)*(-q - 1 + 1) + (-q + q + 2*q**3)*(-q + 1 - 1)*(-2*q + 2*q - 2*q).\nAnswer: 6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -5*u**5 - 1385*u**4 - 95135*u**3 + 118945*u**2 + 1573480*u + 1932100 = 0?\nAnswer: -139, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 6146168754.82 - -68?\nAnswer: 6146168822.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*4.09.\nAnswer: 12.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2565, 5132, 7699, 10266, 12833, 15400?\nAnswer: 17967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -5*r - 8, -3*r - 4*h - 7 = -0*r. Let s be 1*(-1 + 3)*-2. Let j be r\/(-1)*s\/(-2). Solve 0 = -3*m + 5*b - 4, -j*m + 6*b - 2 = 2*b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3696809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5.4 - -4.9. Which is the smallest value?  (a) -2  (b) -0.06  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*d**3 - 2 + 168*d - 327*d + 139*d.\nAnswer: 10*d**3 - 20*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**3\/4 - 291*v**2\/4 + 1843*v\/4 - 357\/4.\nAnswer: (v - 51)*(v - 7)*(5*v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i = -5*i + 4. Let g be (-9)\/(-2) + i\/(-8). Let w be 16\/120*(17 - 2). Sort w, -2, g, -32 in decreasing order.\nAnswer: g, w, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 5*m + 72 = 0. Does 36 divide (176\/6)\/(8\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 3147, 6293, 9439, 12585, 15731, 18877?\n\"Answer: 3146*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 50, 39, 20, -7, -42, -85, -136?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1217251 - 1?\nAnswer: -1217252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 10038 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13030.\nAnswer: 2, 5, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -21\/676 and -83\/45136?\nAnswer: 586768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/(-4 + 51\/12). Suppose 4*f + 3*x + 4 = -0*x, -4*f + 2*x + y = 0. Solve -p - 4 = -f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 7:49 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 131176.\nAnswer: 2, 19, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**3 + 358*j**2 + 18119*j + 594. Give d(-297).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4625 times -8?\nAnswer: 37000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1364 divided by 22\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3424 and 23978700.\nAnswer: 191829600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 + -3. Suppose 2*s = -y*s. Sort -1, s, -4 in increasing order.\nAnswer: -4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -82*a**3 - 20291 + 20291.\nAnswer: -82*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(0 - (-2)\/(-6)). Let r(c) be the first derivative of c**4\/4 + 2*c**3 + 2*c**2 - c - 27. Calculate r(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1b0a (base 15) in base 12?\nAnswer: -3484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -87294, -174592, -261888, -349182?\nAnswer: -436474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g**5 - 100*g**4 + 1740*g**3 + 21700*g**2 - 276296*g + 252960 = 0. Calculate g.\nAnswer: -31, -17, 1, 10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -19\/10 + 3\/2. Suppose -14 = -3*t + 1, d - 3*t = -12. Let y be d\/2*(-9)\/54. Which is the biggest value?  (a) y  (b) 4  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of 0*i - 51*i**2 + 1\/4*i**4 - 2*i**3 + 0 - 1\/60*i**5. Let l(z) = 2*z**2 - 11*z + 23. Calculate -6*l(r) - 11*x(r).\nAnswer: -r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001121702 rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5 + 333\/(-36) + (2 - -4). Let q(h) be the first derivative of -1\/2*h**2 - 5 + 0*h**3 + 0*h - u*h**4. Find the second derivative of q(k) wrt k.\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 319 and 1202311?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 5*g**4 + 10*g**3 - 95*g**2 - 40*g + 300 = 0.\nAnswer: -5, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41 = 4*n + 45 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*n**3\/2 + 24695*n**2\/4 - 426237*n\/4 + 527877\/2 = 0 for n.\nAnswer: -25137\/26, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r\/r**(-1\/3))\/r*r**(-3)*r)\/(r**(-2\/5)\/(r\/(r\/(r\/(r\/(r*r**(-1)\/r))*r)))))\/(r**(-7)*r*(r*r**(-2\/5)*r)\/r*r**4\/r**(1\/4)) assuming r is positive.\nAnswer: r**(83\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 421 - -547. Let u = 5 + w. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lqmcmcrmqflmclm. Give prob of picking 1 m and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000011010000100101 - 110011001?\nAnswer: -1000011010110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = 14*l - 575. Suppose 2*w = -4*o + 26, -w - 3*w = -5*o - l. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-68)\/850*1950\/(-468)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -299\/973 - -3\/139. What is the closest to 0 in 0.3, 4\/3, 8, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 6*j**2 + 43*j + 151. Let u be g(-4). Calculate the highest common divisor of u and 250.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 261571724?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 17179 + -463898\/27. What is the common denominator of v and (598\/(-455))\/((-2)\/10)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (0 + sqrt(245) - sqrt(245) - sqrt(245)))**2 + (-4*sqrt(220)\/sqrt(4))\/sqrt(11).\nAnswer: -60*sqrt(5) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 4*p + 20 = 0. Solve 2*b + 7 = b - 2*z, -24 = -p*b + 5*z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g. Let h be o(-2). Suppose 2*m - 3*y = -0*y + 11, 0 = -h*m - y + 15. Let d(b) = b**3 - 8*b**2 + 10*b + 1. Is d(m) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 80\/(-8) + 8 - -15. Solve 23 = y*d - 16 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -4209, -4232, -4269, -4320, -4385, -4464?\n\"Answer: -7*x**2 - 2*x - 4200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.4 - -5. Let x = -0.6 + 0.2. Let q = x + i. Is -1 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 4*k. Let u(z) = 137607*z. Determine u(f(y)).\nAnswer: 550428*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 45173128643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 9911652?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - 56*j = -52*j + 104, 7*j = -46 - 115 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -3*j + 19. Let x = 20 - 30. What are the prime factors of f(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5525 + -5515. Sort f, -4, 24, 3 in descending order.\nAnswer: 24, f, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/5673 and 35\/18057159.\nAnswer: 18057159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 2871\/14  (b) -8\/3  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is e (base 15) in base 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3 + 5*a**2 - 4*a**2 - 3*a**2 + 3*a**2 wrt a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*q - 14*q - 301 + 833 = 0 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1407 - -2327. Suppose -1123 = -5*j + 4*t, -4*j - t + b = 3*t. Suppose -6*r + 2*r + j = z, 0 = -2*z + 5*r + 402. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -8776.1 at least 2830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -2*i + 40*i**2 + 24 - 3*i**3 + 22*i - 57*i**2. Let k(j) = -4*j**3 - 18*j**2 + 21*j + 24. Let v(s) = 4*k(s) - 5*n(s). Is 4 a factor of v(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 4*i**3 - i**2 - 1. Let z = -22 - -13. Let s(w) = 15*w**3 - 4*w**2 - 5. Let q(l) = z*x(l) + 2*s(l). Determine q(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3638414.12 rounded to the nearest 100000?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.6 and 117654?\nAnswer: -70592.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 367  (b) -2\/3  (c) -3  (d) -1  (e) 5  (f) 1\/2  (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes after 10:34 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 11 = 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 19 = -k, -4*k + 0*k - 14 = 2*l. Let f = 0.2 + 0.2. Let m = -452 + 453. Which is the nearest to 0?  (a) l  (b) m  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**2 + 9*z + 6. Let w(n) = n**3 + 3*n**2 + 3*n + 1. Let k be w(-3). Give u(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -21 + 24. Suppose 4 = 3*p + k, 4*k = -0*k - 8. Suppose -t + 4*f = -m, -p*t = 2*t + 5*f - 33. Are 7 and t non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 448*k - 2240 = 0, 2*c - k + 0*k = -73 + 76 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -14 + 344. Let d = o - 491\/3. Factor z**2 - d + 1\/3*z**3 + 0*z.\nAnswer: (z - 1)*(z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**5 - 10314*c**4 + 13068003*c**3 - 7225163280*c**2 + 1472184811200*c.\nAnswer: 3*c*(c - 1055)**2*(c - 664)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 18*l**3 - 5*l - 20*l**2 + 28*l**3 - 61*l**3.\nAnswer: -5*l*(l + 1)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12021 - -122222021112?\nAnswer: 122222110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -131143334 (base 6) to base 5\nAnswer: -1130023233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**3 + 13*o**2 + 9*o - 122. Determine x(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k. Let o(n) = 27*n + 36. Suppose -90 = 24*f + 30. Let m(r) = 4*r + 5. Let q(l) = f*o(l) + 36*m(l). Give w(q(y)).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3 - (2 + -5)\/9*21. Solve -3*s = -4*y - 0*s - 12, 0 = 3*y - n*s + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -347\/5 + 69. Let t = 13 + -12. Let b = -3\/16 + -11\/112. What is the closest to 0 in t, b, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 2*h + 8 = -23, -5*b + 3*h = -207. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the third derivative of -11*g**5\/20 + 13*g**4\/24 + g**2. Let o(s) = 16*s**2 - 6*s. Suppose -115979*f - 286 = -115957*f. Determine f*o(w) - 6*d(w).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 507 a factor of 2487342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 - 5*h**2 - 9*h + 27. What is d(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 45652994 to the power of 1\/2, to the nearest integer?\nAnswer: 6757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 4, i: 15}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-210)\/(-231)*154\/7.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.2393, -0.2, -2, -0.3, 2 in decreasing order.\nAnswer: 2, 0.2393, -0.2, -0.3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 745813.6 days in seconds?\nAnswer: 64438295040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 359452972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 13) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes before 8:08 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2.238 and 115?\nAnswer: 112.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*n + 1 + 40 = -5*r - n - 36, -22 = -2*r + 2*n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2*i**2 - 5*i + 3. Suppose k = 5*k + 8. Let j be 3 + (-1)\/k*0. What is the units digit of q(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 13, -1, -2, -6, 5, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -47073928 divided by -1\nAnswer: 47073928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 2*v**3 - v**3 + 1 - 2*v**3 + 7*v**2 - 4*v - 3*v. Calculate the remainder when (-6)\/(-2) - (-100)\/(24\/6) is divided by x(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 291 not equal to 2029\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 530, 519, 500, 473, 438, 395?\n\"Answer: -4*v**2 + v + 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20753465, 41506939, 62260421, 83013917, 103767433, 124520975, 145274549, 166028161?\nAnswer: 186781817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, w: 1, j: 1, d: 1, h: 1}. Give prob of picking 1 h, 1 r, and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**2 - 4*u + 1. Let v = -49 - -44. What is g(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - 11 - 4 = 0, 4*f - 4*z = -16 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 2*p - 43 + 26 = -30, -2*m = 5*p + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*y + k - 44 + 27, -2 = -5*y + 9*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -155207 + 155207 - 479*h**2 + (4*h + h - 4*h)*(2 + h - 2) + (-h - h**2 + h)*(-1 + 1 + 1) + 3*h**2 + h**2 - h**2.\nAnswer: -476*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) 2\/25  (c) 433  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q = 18710*k - 18706*k + 104, -5*k - 80 = 5*q for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -11832?\nAnswer: -1\/5916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2422090 rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = p - 5*j, 5*j - 135 + 115 = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -4*l + 9. Let f be b(6). Let r = f - -20. Suppose -23 = -4*d + 3*y + 69, -2*y = 5*d - 92. What is the highest common factor of r and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 42?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 AM and 10:29 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 2*s - 27. Let v be t(17). Let z be ((-36)\/(-21))\/(-6) - (-30)\/v. Solve 21 = 3*j - 3*l, -z*j + l = j - 27 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b**2\/5 + 67301568*b\/5 + 1132375263814656\/5 = 0. What is b?\nAnswer: -33650784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c + 4*c = -735. Let b be (-5 - 984\/20) + 4\/20. Let o = c + b. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**4 + 14*z**3 - 5*z**2.\nAnswer: z**2*(z + 5)*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (-3 - (17 - (28 - 18)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/3*-30*(-3)\/(-12). Let x be 20\/8*6\/o. Factor 6*u**3 + u**x - 6*u**2 - 10*u**2 - 3*u**3.\nAnswer: 4*u**2*(u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4240559592?\nAnswer: 2, 3, 3491, 16871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10612, -21316, -32014, -42706, -53392, -64072?\nAnswer: -74746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.07 - -548.93. Let m = -550.99999667 + u. What is m rounded to seven dps?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 + v**2 - 1. Let m be y(0). Let x(q) = q**2 + 41*q + 477. Let n be x(-26). Is (n + -15)\/((-2)\/(m - 1)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5340 = -386*m + 30*m for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -21, 3, -3 in descending order.\nAnswer: 3, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - (4 - 2) - -7) + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, -11\/587, 6, 3 in ascending order.\nAnswer: -2\/9, -11\/587, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**3\/(t**22*t))\/(t*t\/(((t*t**(4\/13)*t*t)\/t*t*t)\/t))**(-2\/33))**(-48) assuming t is positive.\nAnswer: t**(137824\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 48 and 9426?\nAnswer: 75408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -12596\/65625 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -856793190, -856793191, -856793192?\nAnswer: -856793193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 5 - ((46 - 23 - 6) + -24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 27 - -58. Suppose 0 = 3*j - 4*b - v, -b + 0*b - 73 = -3*j. Solve -4*l + 0*k + 3*k + j = 0, -5 = 5*k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 21807*m - 21900*m + 4650 for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12451 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one fifths of a microgram in nanograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 11139b + a2?\nAnswer: 11144d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 254573 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1.4, 0.4.\nAnswer: -1.4, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4581\/12216*(-400)\/(-6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 200747 by -6.\nAnswer: -200747\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - 4. Let k be 129925\/385 + h\/14. Let v = 338 - k. Calculate the common denominator of v and -71\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 458, 938, 1430, 1940, 2474, 3038, 3638, 4280?\n\"Answer: p**3 + 473*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in -2\/11, 20, -1\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 8*j - 90. Is m(19) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*z - 4*z + 38*z)*(-3*z + 6*z - 2*z + 13 + 10*z - 13 + (-z - z + z)*(1 - 6 + 3)).\nAnswer: 351*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 82 = 4*u, 69*f + 215 = -4*u + 22 - 25 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-1*3*(0 + (1*sqrt(1331) + sqrt(1331))*-2))**2.\nAnswer: 191665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111111010001111 + 1010000110?\nAnswer: -111110000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 3 = 5*f, -4*f = 3*v - 17 - 4. Suppose -103 - 74 = -f*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 582861264?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 18\/(-2) + (-90823800)\/(-570) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1638\/(-52)*3\/(-18) - 6.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 302*i**3 - 142*i**3 - 136*i**3.\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 699 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 2*c - 19 = 0, -s + 211*c - 206*c - 28 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 683 is divided by 149?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.966 take away -1.1?\nAnswer: -2.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72)\/((sqrt(36)*-2)\/sqrt(3)))\/(sqrt(6)\/sqrt(3)*3*4).\nAnswer: -sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(3\/5)*b\/(b*b*b*b**(2\/15)\/b*b)*((((b\/b**(1\/3))\/b)\/b)\/b)**(6\/11) assuming b is positive.\nAnswer: b**(-463\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1424 (base 6) to base 15.\nAnswer: 1a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (2 - 0) + (-10 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(35) - (sqrt(3500) - (sqrt(3500) - sqrt(3500)*1)))\/(sqrt(800)\/sqrt(10)) + sqrt(14)\/(sqrt(32)*-4)*-3 + -5.\nAnswer: -33*sqrt(7)\/16 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2449*o - 2447*o + 12*a = 50, 7 = -o + 2*a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*x**4 - 8661*x**3 + 235505 wrt x.\nAnswer: -8*x**3 - 25983*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -83, -2, 0.07 in increasing order.\nAnswer: -83, -2, 0.07, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -8. Let s = a - 0. What is the third derivative of -2*y**2 - 4*y**5 + s*y**2 + y**2 + 0*y**5 wrt y?\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 18*y + 13*y - 189271, 4*p = 16*y + 252324. List the prime factors of p.\nAnswer: 63097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**2 - 6*i - 2. Let u be a(-4). Let m = 2 - u. Let s(p) = -p**2 - 4*p. Let l be s(m). Is -1 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 + -5. Let t = -3.944 + v. What is t rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 41396.49 millilitres?\nAnswer: 41.39649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -14*o - 12. Let y(n) be the third derivative of -5*n**4\/24 - 2*n**3\/3 - 31*n**2. Let f(g) = 4*u(g) - 11*y(g). Let q be f(-3). Is q smaller than 1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -2*t**2. Let s(v) = -1267*v**2 - 2*v - 4. What is s(w(f))?\nAnswer: -5068*f**4 + 4*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10.0868 - -0.0868. Which is the fourth biggest value?  (a) 4  (b) 1\/82  (c) -3  (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 + 3 = -3*d. Suppose d*j - 50 = -3*j. What is the remainder when 24 is divided by (-4)\/j - 188\/(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1084 divided by -271?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 232 and 1189?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 322\/237 - 2\/79. Which is the closest to -2?  (a) -5  (b) y  (c) 5  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 3*w**2 + w**2 + 14*w - 3*w**2 + 11 - 48. Let k be x(-15). Let p be -2*(-3 + (-64)\/k). Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -9 and 328.\nAnswer: -2952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8927?\nAnswer: 79, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 + -2)\/(-2) + 0. Let d be 5\/(100\/56) - (-3)\/(-1). Sort -5, d, m in decreasing order.\nAnswer: m, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -133 - 0?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*c**3 + 0*c**3 - 3*c**3 + 5*c + 5 - 2*c + 3*c**2 - c**3 to t + h*c + k*c**2 + m*c**3 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 12:12 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 6*u**2 + u. Let b be y(-1). Suppose -4*q + 80 + 31 = j, 360 = 4*j - b*q. What is the greatest common divisor of j and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 833 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -22213 - 5?\nAnswer: -22220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j + 47 = 113. Suppose l = j*l. Find the third derivative of l*k**3 + 3*k**2 - 25*k**2 + 5*k**3 + 2*k**3 wrt k.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*h = -h + 65 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61747.19 litres to millilitres.\nAnswer: 61747190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/3*s**3 + 0 - 2\/3*s**2 + 0*s + 1\/3*s**4.\nAnswer: s**2*(s - 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -621 - 408.8. Round m to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -f**4 + 2 - 12*f**3 + 416*f**2 - 827*f**2 + 409*f**2 to n*f**4 + t + d*f + k*f**3 + c*f**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -517723462071 - 0.5.\nAnswer: -517723462071.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(-1) + (-3)\/5. Suppose -38*g - 4 = -36*g. Sort g, u, -0.12 in increasing order.\nAnswer: g, -0.12, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17774 divided by -2\nAnswer: -8887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.101 and 3142864.\nAnswer: 3142863.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 2502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1063 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 174 + -28. Let j = 73 - q. Are j and -74 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8579187*q**3 - 2*q**2 + 2532881*q + 5?\nAnswer: 51475122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * 112\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 - 18*i - 31. Calculate p(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 32 = 2*u, 3*q - 5*u - 39 = -2. Suppose -70 = 4*m - q*m. Calculate the least common multiple of m and 54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*h - 15 = 39*h, -5*h - 17 = b. Solve b = -61*q + 59*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -135\/4 + 34. Sort k, 8, 0.1.\nAnswer: 0.1, k, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of 3*z**6\/5 + 5*z**3\/6 + 3*z. Find the second derivative of c(y) wrt y.\nAnswer: 216*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13 or 641\/1786?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5937*j**2*v**3 - 143214*j**2*v**2 + 8*j*v**3 wrt v?\nAnswer: -35622*j**2 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100.47951s to minutes.\nAnswer: 1.6746585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -388 + 2714\/7. Suppose 5*o + 2*m + 2 = -8, -o = -3*m - 15. Is o greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15335487\/2269540 - -53\/7540. Let s = -23527 + 2023373\/86. Let j = s + w. Calculate the common denominator of 19\/18 and j.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -37*r - 258\/7 - 1\/7*r**2.\nAnswer: -(r + 1)*(r + 258)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1307793 divided by -76929\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the second derivative of -121*w**4\/4 - 88*w**3\/3 - 467*w. What is the second derivative of m(d) wrt d?\nAnswer: -726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 380469.\nAnswer: 3, 126823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -4*((-10)\/(-4))\/((-2)\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*x**3 + 5*x**2 - 461 + 461.\nAnswer: 15*x**3 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**2 + 86*n - 402. Let o be w(5). Solve o*d = 8*d + 35 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the third derivative of 3*k**2 + 0*k + 0 - 1\/24*k**4 - 1\/20*k**5 + 0*k**3. What is the second derivative of n(g) wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*r + 3 + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -5*h + 8. Let c be t(4). Let d = c - -10. Let n(y) = y + 3. Let a(r) = -r + 1. Give d*a(g) + n(g).\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 36.6 - 16.6. Let u = d - 25. What is the nearest to -1\/64 in 5, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 12 = 16. Let p(d) = -72002*d**2 + 2*d. Let j be p(o). What is j rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4997573539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 - 6. Let f(x) = -x + 6. Let h be f(q). What is the highest common factor of 4 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.03 - 0.02. Let j = m - 0.11. Suppose -u = -2*d, 0 = -5*d - 3*u + 12 + 10. Which is the nearest to j?  (a) -5  (b) 1\/6  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-736)\/6 + 6\/9. Let c = 141 + h. Suppose -c*q = -15*q - 177600. What is q rounded to the nearest 1000?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -5, 11, 29, 49?\n\"Answer: r**2 + 13*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12609 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = 2 + 14, 0 = -4*w + b + 16. Suppose 0 = 6*q - 5*q - 4*r - 3389, -3*q + w*r = -10167. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.33 - 0.63. Let c = -15.29 - -0.29. Let v = -12 - c. Put v, w, 0.1 in ascending order.\nAnswer: w, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -38*p**2 + 5. Let b(h) = -4*h**2. Calculate l(b(k)).\nAnswer: -608*k**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 2 + 1 = o, -2*w - o = -3. Suppose n - 12 = w. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:23 AM and 1:10 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -233 (base 4) to base 14.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:32 AM and 6:40 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10*(-8*(-22)\/(-3432))\/(10\/6)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -43401 - 140?\nAnswer: -44041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 201062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 2*v**3 + 30*v**2 + 29*v + 26. Give y(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 12200 - 123?\nAnswer: 12022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 12902317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 - 14*g + 12. Let o be q(13). What is the units digit of o + -2 + (1 - -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.07 + -101479971.\nAnswer: -101479971.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + -4 + (7 - 12) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*18\/(-24) - (1 - (-133)\/140)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the first derivative of -7*d**4\/22 - 10*d**3\/33 + 16*d**2\/11 - 8*d\/11 - 5. What is j in l(j) = 0?\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*q**2 - 28*q**2 - 2*q - 31*q**2.\nAnswer: -39*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*m - 38 - 11 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10*((-938)\/(-4))\/67.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1399 - 1403. Which is the third smallest value?  (a) 0  (b) 3  (c) -0.099  (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 205988434 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -7396347.3 to the nearest 10000.\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5227283, 10454502, 15681723, 20908946, 26136171?\nAnswer: 31363398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*o**4 - 314*o**3 - 2*o + 4*o**2 + 2*o + 315*o**3 to n*o**2 + i*o**3 + q*o + s*o**4 + d and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 43961.7853 - 43874.7852921. Let p = r + -87. What is p rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -101020211121 - -1?\nAnswer: -101020211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, g: 1, j: 3, z: 2, c: 3, i: 1}. What is prob of picking 1 z and 1 j?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 43 divided by -8975\nAnswer: -43\/8975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - 0 - 4\/(-12). Let y = -88 + 78. Which is the second smallest value?  (a) j  (b) -2  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lle when three letters picked without replacement from {l: 1, e: 1, i: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.322 - 0.3220177. What is x rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.35894*3\nAnswer: -1.07682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 11 + 13 + -8 + 44. Solve -8*w - q = -20*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (160 - (-16 + 67)) + -219?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 250 - 247. Suppose -219 = -t + 4*g, -4*t = -4*g + d*g - 846. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1390?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*f**2 + 999370380*f - 49937057821067220.\nAnswer: -5*(f - 99937038)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -263*-3.\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-13 - -15)*((-1)\/(-2) + 2). Suppose 2815 + 275 = f*a. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 78060263.\nAnswer: 624482104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c**2 + 1 - 1 + 5*c**2 + 2*c**2 - c**2 + (0*c - 7*c + 4*c)*(-c + 5*c - 3*c) to the form w*c + i + p*c**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/((v**(-2\/63)\/v)\/v))**(1\/17)\/(v\/(v\/v**12))**(-10) assuming v is positive.\nAnswer: v**(128711\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 225a + -7f?\nAnswer: 21db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -25*c**3 - 210*c**2 - 80*c.\nAnswer: -5*c*(c + 8)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/14, 71, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -2*q**3 - 5*q**2 - 3*q + 1. Let u be p(-3). Let v = u - 17. Let y = 6 - v. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-7)*28\/42?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (-38 - (3 + -49))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, f: 1, l: 1, a: 2, u: 1, b: 1}. Give prob of sequence afa.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*k**5 - 9364*k**4\/17 - 16432*k**3\/17 + 25204*k**2\/17 + 966*k\/17 = 0.\nAnswer: -23, -3, -7\/187, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - 10101001?\nAnswer: -10100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p = 47 - 67 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.5 - -3.1. Let h = r - 0.9. What is the closest to 0 in -3, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -24 - 5.62. Let l = q - -27.4. Let d = -2.454 - l. Round d to two decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -16 - -15.7. Let k = -939.4 + 939.4. Which is the closest to 0?  (a) k  (b) h  (c) 0.5  (d) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6828550 (base 10) to base 16\nAnswer: -683206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:15 PM and 12:49 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/((-3)\/6 + -1). Is (-76)\/(-8) + m\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -7\/4  (b) -8  (c) 2\/9  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18977704 is divided by 45?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3694 + -1885. List the prime factors of n.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 s, and 1 a when three letters picked without replacement from sfdfjddandfddfdfajnd.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:36 PM and 7:19 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8\/71 - 22\/1065. Put 0.3, v, 5 in descending order.\nAnswer: 5, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 4*w + 10802, 3*v - 2*w - 8511 = 2293. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (660\/(-9))\/(208\/(-364)*14\/12)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -642, -1284, -1926, -2568, -3210?\nAnswer: -3852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -11332313033 (base 4) in base 15?\nAnswer: -20e9c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 5*y - 96 = 0. Let l(i) = i**3 + 6*i**2 - 7*i + 68. Let h be l(-7). Suppose -y = -4*m + h. Solve -3*o + 8*o - m = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120220 (base 3) in base 8?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/4?  (a) 2  (b) -3\/7  (c) 5  (d) -2  (e) -2\/11  (f) -63284\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.15  (b) -4  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.0626 + 0.5574. Let i = -1.508 - b. What is i rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 318 divide 32617896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1824, -7187, -16128, -28647, -44744, -64419?\nAnswer: -87672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - 2*f. Let c(a) = -3*a**2 + f*a**2 + 5*a**2. Let q(l) = 25*l. Calculate c(q(t)).\nAnswer: 1250*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 160*v**2 - 31*v**2 - 3*v + 3*v to j*v**2 + p + o*v and give j.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 155.7  (b) -0.2  (c) 3259\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the first derivative of 52*h**3 - 315*h**2\/4 + 3*h\/2 + 539. Determine t, given that q(t) = 0.\nAnswer: 1\/104, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 6 = -0. What is the remainder when (-3)\/g*372\/(-18) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 2 - 1)*(-35*l**2 + 49*l**2 + 78*l**2) - 10*l - 11*l**2 + 10*l.\nAnswer: 265*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, e: 1, r: 1, z: 1, n: 1}. Give prob of sequence nz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -5*p. Let d(h) = -2*h**2 + 5. Let v be d(2). Determine x(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**5 - j**4 - j**2 - j + 1. Let k(x) = 27*x**5 + 40*x**4 - 4*x**3 - 4*x**2 - 4*x + 4. Let h(i) = 4*b(i) - k(i). Factor h(c).\nAnswer: -c**3*(c + 2)*(23*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4 and 38964.\nAnswer: 38964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2942, 5882, 8824, 11768, 14714?\n\"Answer: i**2 + 2937*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mccmc. Give prob of sequence mcm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -67*n**2 + 65*n + 8. Let j(h) = -2*h**2 + h + 2. Let q(t) = -12*j(t) + 3*v(t). Find the second derivative of q(o) wrt o.\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 16843.39um?\nAnswer: 16843390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 18905107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -113576.6 + 113577. Let h = 5 + -2.2. What is the third biggest value in -0.5, -2, h, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-11)*j**(-7)*j)\/(j\/(j\/j**(-1\/3)))**(-2\/65) assuming j is positive.\nAnswer: j**(-3317\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -3*z - 16. Let c(l) = -9*l - 44. Let h(j) = 3*c(j) - 8*q(j). Let p(w) = -w - 2. Determine -4*h(v) + 9*p(v).\nAnswer: 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1973433422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2173952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g = 2*g - 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.1 + 0.9. Let h = w + -1. Let o = -0.9 + 0.6. Put 0.5, h, o in increasing order.\nAnswer: o, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 3*n + 6 = 0, 0 = 5*c - 11*n + 9*n - 19. What is the third derivative of 23*h - 17*h - 76*h**c + 7*h**2 - 6*h wrt h?\nAnswer: -456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25089.2 rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2849378?\nAnswer: 2, 7, 23, 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 961 - 1299. Let o = f - -337. Let v(h) = -8*h**3 - h**2 - h - 1. Calculate v(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -a**3 + 2*a**2 + 3*a - 2*a**2 + (7*a**2 + 2*a**2 - 6*a**2)*(-1 + 2 + 1)*(-a + 9*a + 4*a) in the form v*a**3 + g*a + q*a**2 + z and give v.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -869, -3485, -7845, -13949?\nAnswer: -21797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.4136 - -0.5864. Which is the second smallest value?  (a) q  (b) -0.4  (c) 3\/43  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -610026 or 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 8973992 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 3*d = 84. Suppose -d = -2*l + 2*s, -s = 5*l + 22 - 116. Suppose -a = a - l. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -48521185.0000144 + 48521138. Let y = 0.037 - 47.037. Let c = y - j. Round c to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 201876921 to the power of 1\/2, to the nearest integer?\nAnswer: 14208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-20)\/3*126\/(-15). Let c = 61 + m. Let f be ((-4)\/6)\/((-6)\/c). What is the greatest common factor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and 6474509?\nAnswer: -647450.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3390512365 to the nearest integer?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -241101 divided by 301.\nAnswer: -801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11818, 23604, 35390, 47176, 58962, 70748?\nAnswer: 82534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - ((-3)\/(-2) - (515\/(-30) + 17))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:54 AM and 5:01 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o + 94*o**2 - 42*o**2 - 7*o**2.\nAnswer: 45*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 129*w**2 + 0*w - 131*w**2 + 0*w + 52 to l*w + h + z*w**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**3 - 6*c**2 - 2*c + 4. Let l be z(7). Suppose -153 = -2*x - l. What is the highest common factor of x and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 223204921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -5*d**3 + 14*d**2 + 7*d - 9. Let m(l) = l**3 - l**2 + l. Let r(x) = -c(x) - 4*m(x). Let f be r(11). What is the greatest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -72.4 - -63. Round k to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, 0.2, 2\/31947, 2\/3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -39 + 88*p**2 + 39 + 4*p**2 - 6*p**2 + 0*p**2 + (3*p + p - 5*p)*(1 - 1 + p) + 2*p**2 + p**2 - p**2 + 0*p**2 + 3*p**2 - 4*p**2.\nAnswer: 86*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -1.7  (b) 2\/3  (c) -2\/19  (d) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) -2\/41  (c) 0.3  (d) 0.181  (e) 0  (f) -67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 34 - 224*k**2 - 235*k**2 + 472*k**2 to the form o*k + n*k**2 + f and give f.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 26412 and 71284?\nAnswer: 6629412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (202*1)\/((-1)\/(-3)). Suppose 3*a - 374 = -3*n + 5*a, a - k = -5*n. Let j = n - 78. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 + -57?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -0.0275, 6\/5, -12, -5 in increasing order.\nAnswer: -12, -5, -0.1, -0.0275, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**3 + 14*n**2 - 17*n + 18. Let r be p(13). Let m be 174\/r - -3*5\/3. Let x = 5 - 4.7. Which is the closest to -0.07?  (a) 0  (b) m  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*(z*z*z**0*z)\/z)**(29\/5)\/(((z*z*z**(1\/2)*z*z)\/z)\/(((z*z**(-1\/6)\/z)\/z)\/z)) assuming z is positive.\nAnswer: z**(176\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 5*h + 872, -5*c - 2*h + 2180 = h. Let g be (1 - c\/20)\/((-2)\/5). Let t = 55 - g. Put 2, t, -10 in descending order.\nAnswer: t, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 3 y when four letters picked without replacement from {a: 3, y: 5}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -201483352 and -23.954?\nAnswer: 201483328.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30745 and 23908?\nAnswer: 17094220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 7446601626?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -3*y + 3*i, 5 = -5*y + i + 22 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -5, -1, 256245 in ascending order.\nAnswer: -5, -1, 1, 256245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u**3 - 4*u**3 + 3*u**3)*(-2*u**2 - 3*u**2 + 4*u**2) + (u**3 - u**3 + 5*u**4)*(-5*u + u + 2*u).\nAnswer: -9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 4*q**3 + 215*q**2 - 74*q - 126. Is 16 a factor of p(-54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 74.8471 litres to millilitres.\nAnswer: 74847.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31879 is divided by 1475?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of -f**6\/120 - 7*f**5\/30 - 2*f**4\/3 - 4*f**3 - 2*f**2. Calculate the remainder when 44 is divided by d(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1856129 to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(136)\/sqrt(4))\/sqrt(2)*-1.\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 7 = 4*l - 1, 10 = -5*k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.5  (b) 0.5  (c) 0.4  (d) 6  (e) -1\/3  (f) 1.9  (g) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3590 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -5*z**3 + z**2. Let i be n(-1). Calculate the highest common divisor of i and 318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1323069 is divided by 876.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:09 AM and 2:30 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5921 + 5921.09993. Let h = 2 - 2.1. Let p = h + y. What is p rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2530244552 to the nearest integer?\nAnswer: 50302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2)\/y*y**(-5))**(-20\/11) assuming y is positive.\nAnswer: y**(160\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 435042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*p - 180 - 788 = 0. Let m(w) = 5*w + 10*w - 3 + 2. Calculate the lowest common multiple of m(1) and p.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 374 - 166. Let x = 158 - g. Which is greater: -49 or x?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 3*l**2 - 5*l + 2. Let s = 40 + -74. Let v be (-5)\/20 + s\/(-8). Let o be h(v). What is the greatest common divisor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1\/88  (b) 0.1  (c) 1\/22  (d) 2  (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5960\/298 + (-106)\/1 + (1 - 8).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8078063 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4748 < 4748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 442*p - 148*p - 141*p + 11*p**2 - 153*p + 4*p**2.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t = 6*t + 2244 + 1221. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the first derivative of -l**6\/360 - 4*l**3\/3 + 2. Let p(x) be the third derivative of b(x). Let q(r) = 2*r. Calculate p(q(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 + 7. Suppose i = -l - 2*n, -l + 3*n = -6 - 4. Suppose -l*p = -9 - 139. Calculate the remainder when p is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1721364*w + 1721366*w + 86 = -25*y, 0 = 2*y + 4*w + 76 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-13)\/(-2) - (3 - -3). What is the closest to q in 5, 8, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91*a + 3 - 5 + 156*a + 1.\nAnswer: 247*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7753.144cm to micrometers.\nAnswer: 77531440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 43207, 345472, 1165921, 2763646, 5397739, 9327292, 14811397, 22109146?\n\"Answer: 43182*p**3 - 9*p + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-9)*k**(-2\/53)*k)\/(k\/(k*k**9))**(5\/3))**(-25\/6) assuming k is positive.\nAnswer: k**(-3075\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/12*2)\/((-1)\/(-3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 85\/2418 and -37\/2666.\nAnswer: 103974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -204*x + 411*x - 214*x + 7 - 68 to z + c*x and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1c3ac (base 15) to base 4\nAnswer: -112130322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 79 - 77. Suppose -4*s + 6 = -y. Differentiate 3 + 21*w**s + 16 + 0*w + 0*w with respect to w.\nAnswer: 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**2 + 3*u + 2. Let f be h(-2). Suppose -q - 2 + f = 0. Let t = -5 - -8. Sort q, -5, t in descending order.\nAnswer: t, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(2\/(-4) + 1). Which is the third biggest value?  (a) -5  (b) 0.03  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1.2  (b) -11\/5  (c) -4\/323  (d) -794\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1598*u**3 - 5257*u.\nAnswer: -9588*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 3)\/(4 + (-22)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/908 and 13\/9.\nAnswer: 8172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.3 times 3.7782197?\nAnswer: 4.91168561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, 0.3, 0, 22?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, u: 1, c: 4}. Give prob of sequence cfu.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 13*l + 4. Let s be f(-12). Let n be (-154)\/35 - -4 - s\/5. Calculate the greatest common factor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -18*z**2 + 3*z + 3. Let v(g) = -35*g**2 + 7*g + 7. Let p(x) = -7*f(x) + 3*v(x). Let n(t) be the first derivative of -t**2\/2 + 3. What is n(p(m))?\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 10117123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 3546140 = 3546140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 - -3042140537?\nAnswer: 3042140542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/5, 143, -3.7 in descending order.\nAnswer: 143, 1\/5, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 5*s**4 - 7365*s**3 + 1285695*s**2 - 2519935*s - 3813000 = 0.\nAnswer: -1, 3, 200, 1271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**2\/2 - 1845747*g\/2 - 15689283.\nAnswer: 3*(g - 615266)*(g + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -3*i**2. Let m(x) = 24*x**2 + 19. Give b(m(u)).\nAnswer: -1728*u**4 - 2736*u**2 - 1083","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*-18098.\nAnswer: 3619.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*m**2 + 1720990*m + 1720995.\nAnswer: -5*(m - 344199)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 835100?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13867.\nAnswer: 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-4) - 13\/(-4). Let x = -2273 - -2273. Suppose -5*a = -2*l + l - 21, x = -k*a + 5*l - 5. What is the third biggest value in 1, a, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 2*q - 240. Suppose -3*y + q = 5*o, -4*y + 48 = -o - 74. Calculate the remainder when 148 is divided by y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -96469, -385883, -868245, -1543549, -2411789, -3472959, -4727053?\nAnswer: -6174065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes before 10:10 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**3 + 7*g**2 - 6*g + 17. Determine y(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 833 - 500. Let z = t + -333.0000219. What is z rounded to six dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5  (b) 0  (c) 6  (d) -45  (e) -1\/5  (f) -65\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 180*h + 124 + 101 + 129 - 319.\nAnswer: 180*h + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*x**2 + 22*x**2 + 5*x**2)*(-2*x + 0*x - x) + (-2 + 13 + 7)*(-4*x - 4*x + 7*x + 3*x**3) in the form h*x**2 + f*x**3 + t*x + u and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 323.5 and 0?\nAnswer: 323.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 7, w: 3}. What is prob of sequence ww?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {q: 4, l: 3, d: 1, p: 1, w: 8}?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 795 is divided by 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18*a**4 - 10*a**4 + 11*a**4)*(a - a - 5*a).\nAnswer: 85*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2108899 - -58899. Round i to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32141942 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/(-6)*-1*0. Suppose -l - n + 24 = 0, -5*l + 3*n + 120 = -c*n. What is the highest common divisor of l and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1280a88 (base 11) in base 6?\nAnswer: -115225105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f**4 + 5*f**4 - 7*f**4 - 5*f + (-f + f + f**3)*(f + 2*f + 0*f).\nAnswer: -f**4 - 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*((36\/(-9))\/(-4))\/((-3)\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 112 = -121. Let i(f) = -3*f + 5. Let n(t) = -13*t + 21. Give a*i(c) - 2*n(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p + 3*d + 24, 4*p - 7*p + 4*d + 27 = 0. Solve h = -4*c - 25, -15 = 4*c - 6*c + p*h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9 take away 2342875.3068598?\nAnswer: -2342874.4068598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -252*g + 1. Is w(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m + 91 + 749 = 0. Let w be (10 + -1)*((-50)\/m)\/2. Is w <= -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h - 6. Let p(g) = -1. Let y(r) = 2*p(r) - v(r). Does 10 divide y(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1083 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**3 - 137*v**2 + 404*v - 278. Give c(134).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 17243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -6*y + 120. Let p be (1 - -3) + (-104)\/y. Which is bigger: -5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1461892914 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**2 - 4*a**2 + a**2 - 40*a**2 + 0*a + 0*a + (4*a - a - a)*(0*a + a - 3*a) - 3*a**2 - a**2 + 2*a**2 + (3 - 4 + 0)*(a**2 + a - a).\nAnswer: -49*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*t + 41*t + 851 - 16*t - 1064.\nAnswer: t - 213","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 191741 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of ((-3)\/9)\/(-1*1\/822)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-838)\/(-2) + -6*(-3)\/6. Suppose 0 = d - 1, 6787 - j = 4*i + 5*d. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from edeefeueeeefhfeeh. Give prob of sequence dd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 64980913 - 240797365010321\/3705663. Let s = z - -5962411907\/259396410. Let b = -135\/7 + s. Calculate the common denominator of b and 17\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 - 11. Let g be (x\/4 + 2)*44. Suppose i - g = -i. What is the remainder when 31 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1001011011011101 (base 2) to base 5\nAnswer: -2213441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {o: 2, c: 9}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 748 - 715 - ((23 - 0) + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of -1\/245*p**7 - 1\/420*p**6 + 0 + 0*p**3 + 1\/42*p**4 + 3*p**2 + 1\/70*p**5 + 0*p - 1\/1176*p**8. Find k such that j(k) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-458)\/264 - (-1)\/4. Let n be 3*(-15)\/(-220)*-4. Let g = n - j. Is g greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 * -0.046\nAnswer: -0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 3*i + 215 = 0, -5*i + 17 = 2. Find the common denominator of ((-60)\/a)\/5*-20 and (-247)\/364 + (-1)\/4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**3 - 6*j**2 + 5*j + 9. Let s be z(6). Let i = -44 + s. Let p(g) = -10*g - 16. Let b(x) = 7*x + 11. Determine i*p(k) - 7*b(k).\nAnswer: k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 0 + 2. Put 4, -5, s in ascending order.\nAnswer: -5, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-44)\/(-12)*98406\/137456\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-187)\/(-231)*2637 + (-4)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 336\/9 + (-2)\/(-3). Let g be h\/4 + 2\/4. Suppose -4*n = d - g, 0 = 5*n - n - 8. Solve 0 = k + d - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.04  (b) -3  (c) -0.11  (d) 2\/9  (e) -8  (f) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -5 - 102*j - 113*j + 210*j. Let x(z) = z. Give n(x(s)).\nAnswer: -5*s - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(21)\/(-3*sqrt(21)\/sqrt(3))*-1 + -2)**2.\nAnswer: -20*sqrt(3)\/3 + 37\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, p: 8, q: 3, v: 2}. Give prob of sequence vpe.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 885?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*(-92)\/(-7130)*10\/(-6).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + u - 148 = -0*h, 5*h = 3*u + 228. Let j be 180\/(-16)*h\/9. Let i be ((-4)\/14)\/(j\/21). What is the second smallest value in i, 4, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.16 + -0.04. Let r = 0.1 - j. What is the smallest value in -4\/5, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d + 25. Let f(j) = 19*j + 7. Let w be f(-2). Let q = 31 + w. List the prime factors of b(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -992\/7  (b) -0.4  (c) 5  (d) 389\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -6\/2179 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -124*w - 479 = -42 + 307 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1\/4  (b) 3  (c) 1.975  (d) -1\/5  (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 15, 132, 417, 942, 1779?\n\"Answer: 12*h**3 + 12*h**2 - 3*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.081215103 rounded to five decimal places?\nAnswer: 0.08122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*q - 4*q = b - 15, 0 = b - 3*q + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -38*a + 36*a + 148. Suppose 0 = 3*u + 4*g - a, -u - 2*g - 2*g + 38 = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 668349 is divided by 192?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -2 + 7 + -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 31 + 4. Let r = d - 9. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -3, -6, 3274, -4, 4, -1 in descending order.\nAnswer: 3274, 4, 2, -1, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1809992 or 1809991?\nAnswer: 1809992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3817?\nAnswer: 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 72, -248.\nAnswer: -248, 2, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 1175*n - 5 - 23 - 8*n**2 - 2*n**3 - 1177*n in the form t + q*n**3 + h*n**2 + p*n and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -31130, -31131, -31132, -31133, -31134, -31135?\nAnswer: -31136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -136*o**2 + 88*o - 87. Calculate i(1).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3363837 and 987.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 329*l + 328*l + 5 - 5.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 3*m - 7. Let f(s) = s + 17. What are the prime factors of f(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/4*((-80)\/8 - 469). Let h = -2167\/20 + s. Find the common denominator of 85\/46 and h.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -200 - -203. Suppose q*x - 1517 = -2*x + 4*z, -z = 3*x - 917. What are the prime factors of x?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 4, h: 9, n: 6}. What is prob of sequence nhn?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/31 in -20, -9, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15 + 16. Which is the third smallest value?  (a) -4  (b) s  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 179041 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + -7 - (30 + -24).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -222*q + 1808 + 5640 = -26*q for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-188*j**2 + 323*j + 305*j**2 - 103*j**2)*(3*j - j - j) to the form h*j**3 + d*j**2 + x + a*j and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + w - 35 = -0*n, -5*n + w = -169. What is the lowest common multiple of n and 4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssqq when four letters picked without replacement from {c: 4, s: 6, j: 3, q: 4}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 45754, 183232, 412354, 733120?\n\"Answer: 45822*c**2 + 12*c - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:39 AM and 1:28 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1197 is divided by 151?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*b**3 + 2*b**2 + 3*b**2 - 5*b**2 - 26*b**3.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -181 - -206. Suppose 107 = 33*c - q. Solve f + 2*r - 5 = 0, 2*r + 3 = -5*f - c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 9 - -4*2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 12 - (-3 - (2 + -4)). What is the second derivative of -r*d - 35*d + 8*d**4 + d**4 + 10*d**4 wrt d?\nAnswer: 228*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62598?\nAnswer: 2, 3, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 6*g**4 + g**3 - 10*g**2 + 3*g + 3. Let o(v) = 5*v**4 - 10*v**2 + 2*v + 2. Let m(r) = 3*o(r) - 2*s(r). Find the third derivative of m(c) wrt c.\nAnswer: 72*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -5265, -5262, -5257, -5250, -5241?\n\"Answer: d**2 - 5266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -2*c. Let y(f) = -f + 2. Let b be y(0). Let j(g) = -2*g**2 + 3*g**b - 5*g**2. Determine j(i(z)).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/15 and (-12)\/(-32) - (-2118)\/(-1296).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -20, -221, -10044?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 55523, 222116, 499781, 888518?\nAnswer: 1388327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*j + 6, q - 10 = 15*j - 10*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the third derivative of -h**8\/672 - h**7\/105 - h**6\/48 - h**5\/60 + 5*h**2. Find z, given that l(z) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the first derivative of 0*j**3 + 122 + 0*j**4 - 3\/2*j**2 + 123\/5*j**5 + 4*j. Find the second derivative of i(q) wrt q.\nAnswer: 1476*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 18 * -85.\nAnswer: -1530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 4*v = 13, 2*k - 13 = -2*v + 1. Suppose 10 = -k*h + 5*q, -8 = 2*h - 2*q - 2*q. What is the tens digit of (-87)\/(h - 4\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -296*q + 41940 = 263*q + 140*q for q.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3272 take away -21.3886651?\nAnswer: 3293.3886651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 93184 and -112?\nAnswer: -10436608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**2 + 47*o - 152. Calculate h(-50).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 12001001000 (base 3) to base 10\nAnswer: 99171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -5*v + 30, v - 2 + 1 = 0. Suppose l - 2*u - u = 19, -4*u + t = 3*l. Calculate the lowest common multiple of l and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 868 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the first derivative of 5*c**2 - 7*c + 14. Let g(z) = -9*z + 6. Give -6*g(q) - 5*w(q).\nAnswer: 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -12\/39937  (b) -0.3  (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qllq when four letters picked without replacement from {q: 7, l: 6}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1844 is divided by 53.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**2 + 3*k + 7. Suppose -4*d = 5*l + 11 + 15, 5*d = -5*l - 30. Give t(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0024664 rounded to four dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 16) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 23664382601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6360?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 134431, 268873, 403315, 537757, 672199, 806641?\nAnswer: 941083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 54244414 (base 6) to base 3\nAnswer: 10000200211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2260 is divided by 133.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 2*f + 3*f + 67, -f + 55 = 3*u. Let i be (u + -20)*(1 - 0)*-421. Suppose -6*c + i = h - 8*c, 3354 = 4*h - c. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the third derivative of 2803*b**4\/24 + 50*b**3\/3 - 125*b**2. Is t(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 26.78 - 24.78. Sort -1\/15, l, 2\/7, -4 in ascending order.\nAnswer: -4, -1\/15, 2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 - 171*z**2 + 2199*z + 516. Determine m(-183).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1581\/4 + -3400739\/8604. Let g = n + -929\/478. What is the common denominator of g and -43\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + t - 1 = 0. What is the units digit of (-3)\/(24\/(-15) - t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -523*n = -947*n + 8056 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 PM and 6:03 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1  (b) 5  (c) 0.4  (d) -33\/13  (e) 7\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (656 - 550 - 1131 - 4 + 4 + 1 + 3 - 1 - 4 + (3 - 4 + 2)*(0 - 5 + 4))*(-4 - 2 + 1)*(-3*w**2 + 3*w**2 + 2*w**2 + (-6*w + 3*w + 2*w)*(3*w - 5*w + w)).\nAnswer: 15405*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 148656022 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 greater than or equal to 204377854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 318730.2 centuries to years.\nAnswer: 31873020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 6585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (36\/9)\/((-48)\/392*14\/(-6))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - c - 2 = -4, 3*f = -4*c + 13. Let n = -64 + 73. Is n\/((-27)\/(-1920)) - f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*l + 27*l - 80*l - 77*l.\nAnswer: -95*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2263199380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**3 + 6*k**2 + 6*k - 5. Let d be o(-5). Let s = 3310 + -29822\/9. What is the common denominator of ((-2)\/d)\/(12\/(-10)) and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2\/5 - 32*d\/5 - 72\/5.\nAnswer: 2*(d - 18)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**5 + 32*f**4 + 142*f**3 + 192*f**2 + 81*f.\nAnswer: f*(f + 1)**2*(f + 3)*(f + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -117, -113, -107, -99, -89?\n\"Answer: n**2 + n - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 43506629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2 and 0.0667.\nAnswer: 2.0667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -270321 * -0.1\nAnswer: 27032.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 202021 + -11212?\nAnswer: 120102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 7149.877 days?\nAnswer: 171597.048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -9, -1, -5, -0.5, 0.03?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, 22, 3, -2, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 471979\/74523*-21*1?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 424 - 412 = 12*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of i**4 - 2*i**3 - 93620*i**2 - 2*i + 82843841?\nAnswer: 4*i**3 - 6*i**2 - 187240*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1\/(-6))\/(1\/(-9)). Is 4 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -111367986 divided by -6.\nAnswer: 18561331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 - 24*u**2 - 20*u + 45. Determine v(-23).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + n = 3*n - 13, 3*t + n = -18. Let y(a) = 5*a**3 - 4*a**2. Let g(z) be the first derivative of -9*z**4\/4 + 7*z**3\/3 - 6. Determine t*y(c) - 4*g(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 81291 and 189?\nAnswer: 731619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (30\/(-195))\/((-2)\/(-2))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 334, 340, 348, 358, 370, 384, 400?\n\"Answer: s**2 + 3*s + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1052 = -98*z + 1594. Calculate the greatest common factor of z and 6777.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17.7 - -0.3. Let m = -17.9907 + c. Round m to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 - -7. Let n = y + -12. Suppose 5*q + 2*s - 22 = q, -5*q + 4*s - n = 0. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.12 - 0.32. Which is the closest to 1?  (a) m  (b) 1  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**3 + 5*c**2 + 6*c + 3. Let x = 10 + -4. Let b be z(x). List the prime factors of b\/(1 - 2) - -24.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a + 1. Suppose 0*q = -4*q - 3*n + 11, -5*q - 30 = -5*n. Let l(u) = 0*u**2 + u**3 - 4*u**2 + u**2 + 6*u**2 + u. Let p be l(q). Determine k(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**2\/7 + 414*t - 8712\/7.\nAnswer: 2*(t - 3)*(t + 1452)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 + 2 + 5*i**2 - 9*i - 4*i**2 + i**2. Give d(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5879 + -5847. Let f = 2.468 - -29.672. Let p = f - g. Put p, -5, -2\/9 in descending order.\nAnswer: p, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4144 (base 6) to base 9\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 5*q**3 - 15*q - 2. Let s be f(5). Suppose -s = -7*p - 527. Solve -3*d + 7 = j - 6*d, 3*j - 3*d + p = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*g**2*h**3 - 3*g**2*h - g**2 + 27*g*h**4 + g*h**3 + 8*h**2 wrt h?\nAnswer: -48*g**2 + 648*g*h + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.3856 and 0.2?\nAnswer: 0.5856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rsrs when four letters picked without replacement from {s: 2, r: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -54 + (-32 + -8 + 23 - -36)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 0 + (15 - 14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2 + 5)*((11 - 4 + 12)*(r + 3*r - 6*r) - 2*r + r + 0*r + (2 - 3 - 1)*(4*r - r - 4*r) + 12 - 4*r - 12 + (-1 + 3 - 1)*(3*r - 2*r - 3*r)).\nAnswer: 43*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-153)\/(-51)*(-4)\/(-120). Which is the nearest to 229?  (a) -5  (b) k  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(5*(sqrt(119) - sqrt(119)*-1) - -2*sqrt(119)*4)\/(sqrt(7)*-1*-2 + (sqrt(14)\/sqrt(50) - sqrt(7))).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the third derivative of -11*k**4\/12 - k**3 - 20*k**2. Let w(a) = 441*a + 119. Determine -119*p(d) - 6*w(d).\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 76\/5 of a millisecond?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -116  (b) 4  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7575.27 - 7575.1899926. Let s = -0.08 + x. What is s rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 86142 divided by -3711?\nAnswer: -28714\/1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.13 - 0.03. Let j = 1.37 + -1.07. Which is the third smallest value?  (a) r  (b) j  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.1305956 from -2791.\nAnswer: -2790.8694044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from {r: 2, v: 1, l: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -204?  (a) -0.5  (b) 112  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + -2. Let h(u) = u**2 - 82*u + 1672. Let m be h(44). What is the closest to m in -59, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -123, -3 in descending order.\nAnswer: 6, -3, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13047517 and 175693?\nAnswer: 9247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 79455559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dii when three letters picked without replacement from {d: 9, a: 1, i: 9}?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -1, 1\/6, 1, 0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 60c - 1b?\nAnswer: 5f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**2 - 11*s - 6. Let x be u(-10). Let y(a) = -5*a + 42. Let h be y(9). Suppose -2*m + 11 + 5 = 0. Sort 2, x, m, h.\nAnswer: h, 2, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1989, 1534, 775, -288?\n\"Answer: -152*x**2 + x + 2140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9 by 16.\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -125 + 129. Suppose -p = y - 276, -10*y + 5*y = n*p - 1383. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/224)\/(14*(-14)\/(-4802)).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -303\/2 - -144. Let a be 2\/5 + 190\/25. What is the common denominator of p and (-37 - (1 + -1))\/a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 346.\nAnswer: 5\/346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 812 and 232?\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -5*k + 2. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-252*y**2 + 108*y**2 - 21 + 138*y**2)*(-1 - 2*y + 1) in the form u*y**2 + q*y**3 + f*y + h and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3510066 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of -w**4\/24 + w**3\/3 + w**2 - 2*w. Let x(d) be the first derivative of n(d). What is the least common multiple of 2 and x(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -4*a + 2. Let h = 7 - 5. Suppose -17*d = 19*d - 72. Suppose 0 = -k + d*k - h*x + 3, 4*k + 2*x + 12 = 0. What is u(k)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-68)\/24 + 4 - (-2)\/(-4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*m - 49*m + 3*g = -21*m - g + 432, -m - 6*g + 584 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 26347529353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 496.3966t?\nAnswer: 496396600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -4, -6280, -2 in descending order.\nAnswer: -2, -4, -5, -6280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6.8 + -1.8. What is the closest to -0.1 in -5, i, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31384 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-147)\/(-196)*(-56)\/54*(-6)\/7\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1757  (b) 2\/3  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*u**2 + 1440*u + 103680.\nAnswer: 5*(u + 144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 197*v = 199*v + 12, 0 = -2*y - 3*v - 2*v + 3*v - 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-656)\/123*(0 + (-9)\/(-6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -32 < -2\/10169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 5*l + 48 = 0, 5*m - 2*l + 28 = -92. Let g be (-16)\/(-3)*(-90)\/m. Solve 8*f - 3*f + g = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5369 * -11.\nAnswer: 59059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 189 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4330082*c = 4330024*c - 4698 for c.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 771 is divided by 253?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2334000365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -152 + 153.98. Let d = -2.18 + x. Which is the third biggest value?  (a) d  (b) -0.12  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 820176 is divided by 2345?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 110625520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (39\/208*1)\/(3\/(-4))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -283 + 1342. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.284650903 rounded to three dps?\nAnswer: -0.285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10.7 - -67.7. Let v = m - 56.897. Let s = v + -0.003. What is the third smallest value in 2\/11, 0.9, s, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/3  (b) 3  (c) 0  (d) 5  (e) 258192  (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**3 - 18*s**2 + 15*s - 26. Give t(16).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 10a524 + -2?\nAnswer: 10a522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 452799792.\nAnswer: 2, 3, 19, 167, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 748*j + 6190*j + 5976*j to the form h*j + r and give h.\nAnswer: 12914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0.08, -5 in increasing order.\nAnswer: -5, 0.08, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3253, 136 in descending order.\nAnswer: 3253, 136, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -191029913*c**2*x - 15510*c*x + c - 549 wrt c.\nAnswer: -382059826*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5289?\nAnswer: 3, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the third derivative of 91*b**4\/3 + 129*b**3\/2 - 12*b**2 + 14. What is the first derivative of n(o) wrt o?\nAnswer: 728","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11296 - -11297. Let j be (3\/(-5))\/((-9)\/(-6)). Let h = 42 - 42. What is the closest to q in -2\/3, h, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, 1\/5, 0, -4, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 65589?\nAnswer: 3, 21863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0  (b) -9  (c) -2  (d) -6  (e) -61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gbbbbggbbbgbbb. Give prob of picking 2 b and 1 g.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 4)*(2 - 2 - 5)*(2*c + 1 - 1) + (2*c + 0*c - 3*c)*(1 + 1 - 3).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/1057 and -1\/54751241?\nAnswer: 383258687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 11239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**2 + o + 1. Let q(w) = w + 9*w**2 + 1 - 15*w**2 + 2 + 2*w**2. Let h(m) = -3*k(m) + q(m). Determine f so that h(f) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 - t**2 + 31. Let h be b(0). Solve 8 = 35*n - h*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that g**4\/2 - 302*g**3 + 42637*g**2 - 385282*g - 3095547\/2 = 0.\nAnswer: -3, 13, 203, 391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100120222211202 + -2?\nAnswer: 100120222211200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 3 = -3*d + 6, -d - 2*c = -2. Let s be ((-20)\/6)\/(2\/(-3)). Solve -4*l = s*a + l, -l = d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 82*d - 327. Let n be s(4). Is 4\/447 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*w = 6*w + 24. Suppose -5*a - w + 1 = l, 4*a = l - 4. Let c(k) = -k**2 - 4*k + 113. Is c(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-100)\/(-60)*-15 + 24\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (32 - -2) + -42 - (7 - (-17 + 2))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -12*q + 63. Let k be y(5). Solve -k*m + 19 = 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11682809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13.01 + 0.01. Let w = p - -12. Let i = -0.1 + 0.2. What is the closest to w in -3\/7, i, -0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -275 = 4*x - 287 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -106*p - 97996 + 112216 = 52*p for p.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*z + 6*z**3 + 2*z**2 - z**3 - 8*z in the form d*z**2 + l*z + b*z**3 + j and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -5121, -10265, -15455, -20715, -26069, -31541, -37155?\n\"Answer: -4*s**3 + s**2 - 5119*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12465 - 111820\/9. Let j = t + -40. Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 140*v**2 + 12*v + 8. What are the prime factors of o(-2)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(4\/7)*a)\/(((((a**22\/a)\/a*a)\/a)\/a)\/a*a)*(a**10*a*a*a)**28)**(-1\/48) assuming a is positive.\nAnswer: a**(-1213\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*h - 10 = -5*c, 4*c = h + 2872 - 2864 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2810 = -2*y - 3*x, -109*x + 7125 = 5*y - 114*x. Calculate the remainder when y is divided by 67.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-13)\/(-39)*(-4 + 3 + 1). Which is smaller: 2\/51943 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 140 + -258. Is 10 a factor of n\/(-6) + 8\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = 14*v + 2. Solve j - 24 = 6*j + v*t, -3*t - 9 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -780, -4194, -9874, -17814, -28008, -40450, -55134, -72054?\n\"Answer: s**3 - 1139*s**2 - 4*s + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4324)\/(-12972))\/((-1)\/(-549)*3).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 299*u**5 - u**4 - 91*u**3 - 83*u**2 + 821 wrt u.\nAnswer: 17940*u**2 - 24*u - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - (6 + (-3 - -11)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1\/318 + -161\/636. Which is the closest to -1?  (a) -4  (b) -5  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13007 + -9034. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000246 rounded to seven dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 71*s**2 - 2*s + 2. Let z be i(1). Let v = 87 + z. Factor -v*u**2 - 30 + 54*u + 71*u + 203*u**2.\nAnswer: 5*(u + 3)*(9*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19435*h**5 - 3070720*h**4 - 21015*h**3 + 3070720*h**2 + 1580*h = 0.\nAnswer: -1, -2\/3887, 0, 1, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-5 - -8) - (2 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the second derivative of l**7\/105 + 31*l**6\/75 - 67*l**5\/25 + 103*l**4\/15 - 139*l**3\/15 + 7*l**2 - 6*l - 24. Find z, given that b(z) = 0.\nAnswer: -35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 2*h**3 + 12*h**2 - 17*h - 8. Let c be d(-7). Differentiate -16 - 5*q - 6*q - 13 + c*q + 14*q**2 with respect to q.\nAnswer: 28*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1.6872  (b) -3\/4  (c) -1816\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8912506355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -110, -229, -348, -467?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 484*w**4 - 3542*w**3 + 24601*w**2\/4 + 2415*w\/2 + 225\/4.\nAnswer: (4*w - 15)**2*(11*w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -9. Let n = 12 - k. Let a be ((-84)\/(-98))\/(18\/63). Solve -2*f + 0*f - a*p = 10, -p - 9 = -n*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97 = 14*i - 29. Calculate the least common multiple of 15 and i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express o**3 - 2*o**3 + 3*o + 4*o**2 - 3*o**2 - o**3 as t*o**2 + j*o + u + x*o**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*u + 6*u**2 - 3*u**3 + 8*u**3 + 93 - 94 in the form x*u + n*u**3 + r*u**2 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -128 + 137.3. Let r = i + -9.299837. Round r to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6*(3 + (-8)\/3). Suppose s*d - 32 = d. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 113*l + 160. Let s(a) = -19*a - 27. What is 34*s(h) + 6*w(h)?\nAnswer: 32*h + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3985573933 - 0.1.\nAnswer: -3985573933.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2095190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (176\/(-16)*18\/(-165))\/((-68)\/(-1870))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= 350\/11839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2427552514?\nAnswer: 2, 229, 5300333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 447*m**3 - 3*m**2 - 101*m wrt m.\nAnswer: 2682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 - 7*w + 23. Let h(i) = -i**2 - 6*i + 22. Let g(x) = 3*h(x) - 4*n(x). Determine g(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b77 + -2?\nAnswer: b75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 210 - -71. Solve l*x = 289*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13.11 + -13. Let g = a - -0.09. Suppose 5*s + 4 - 9 = 0. What is the second smallest value in g, s, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1, 0, 0.4, -0.4, -0.0114, 1\/4, -13?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 390160000 rounded to the nearest one million?\nAnswer: 390000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 - f - 16. Suppose 0 = -4*r + 19 + 1. Let w be c(r). Is w < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-102624)\/(-44898)*(-301)\/(-8).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**1*g*g)**7)**(-47)*(g**6*g**(-1)\/g)**26 assuming g is positive.\nAnswer: g**(-1212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1642 - 1624. Suppose 5*w - 16 = 4*b, w = -2*b + b + 5. Let r be w\/10 - (-86)\/10. What is the highest common divisor of i and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -45*j + 138. Is q(-7) a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -142589 - -142681.659. Round v to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*w - 5*s, 0 = -3*s - 2*s. Solve 8 + w = 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1143?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kw when two letters picked without replacement from {w: 2, o: 3, k: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (8\/(-3))\/(-1) - (33 - 30). Which is the second smallest value?  (a) -0.3  (b) v  (c) 1  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 234*r - r**3 + 229*r - 463*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09352 plus -2?\nAnswer: -1.90648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -4*a**3 + 17*a**2 + 19*a - 1. Is u(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the third derivative of -h**4\/24 + h**3\/6 - 25*h**2. Let n(r) = r**3 + 5*r**2 + 5*r - 3. Let s(t) = n(t) + 2*z(t). Calculate s(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -6*(-2 - (-6)\/4). Suppose 3*h = 3*l + w, 5*l + 2 = 3*h + 7. What is m in l*m**4 - m**4 + m**4 + 2*m**3 - 5*m**4 - m**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1277017772.\nAnswer: 2, 319254443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 4*z = -12. Let v be (1\/(-4 - -1))\/(-1). Which is the closest to 0?  (a) z  (b) -1  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/140 and 31\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -2dd (base 14) in base 13?\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 659*y**2 + 9*y + 6. Let x be b(-7). Let c = x + -773723\/24. Find the common denominator of (-2 + (-132)\/(-20))*(-5)\/22 and c.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 225.7 plus 10?\nAnswer: 235.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 3*k + 30 = 0. Suppose 4*a - a - 4 = s, s = -2*a + k. Suppose -55 = a*r - 7*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 2*l + 9. Let y(m) = m + 7. Let i(d) = -3*y(d) + 2*z(d). Let w be 28\/(-6) - 6\/(-9). Determine i(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 155264 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001508 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 4, 4\/5, 2, 1818?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1966720 and 560.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17 - 14. Let a = 2 + g. Suppose -2*w = -3*w + a. Calculate the lowest common multiple of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 25862, 9, -2 in descending order.\nAnswer: 25862, 9, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*g = -25*g + 5*m + 4, 4*g - 18 = 5*m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/980 and -97\/23814.\nAnswer: 238140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 39, 41, 45, 51, 59, 69?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7005027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -33836 - 8?\nAnswer: -33845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 600 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0954 minus 1610346026?\nAnswer: -1610346025.9046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**3 + 4*b**2 + 335*b + 330. Calculate o(-16).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let c be 5\/((-45)\/(-84))*9. Suppose 4*l + c - 280 = 0. Suppose -f + 5*o + l = 0, -83 = -2*f + 6*o - o. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11199 * -2.19\nAnswer: 24525.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3973 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 263506772?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -5*m**3 + 275*m**2 - 2940*m - 7020 = 0.\nAnswer: -2, 18, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3 - (4634 - 3\/1). Is (-3)\/6*1*j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-5)\/o**1*o*o**(2\/13)*o*o*o**(-9) assuming o is positive.\nAnswer: o**(-154\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 169\/26*22\/(-55)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-519915)\/(-220) - 6\/(-8) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -2*o - 8. Let u(j) = 5723*j**2 + 2. Determine u(c(b)).\nAnswer: 22892*b**2 + 183136*b + 366274","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 106 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**3 + 32*k**2 + 89*k + 69. What is q(-29)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*z + 266 + 797 = -323 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5995.452 years to decades.\nAnswer: 599.5452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 4\/(-1)*(15 + 1775\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 952 + -3622.\nAnswer: -2670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1121 - 22?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42831245?\nAnswer: 5, 17, 29641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -1  (c) -0.08  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -40\/4401 and -115\/6?\nAnswer: 8802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112 = -h - 3*h. Let k be 1\/2 - 2\/h. Let p be -41 + (-30 - 4991\/(-69)). What is the nearest to 2\/13 in p, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -26 in 2, 5, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 32728187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.61215 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -9 * 11.5\nAnswer: -103.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1036625 is divided by 259043.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11.13 + 11. Which is the biggest value?  (a) 0.4  (b) 2  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 - (-29 - 10 - -24)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(30\/12*10)\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes before 7:07 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-17)\/(-9996)*21)\/((-2)\/(-24))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 87305827, 174611654, 261917481, 349223308?\n\"Answer: 87305827*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o - 16 - 0. What is the third derivative of b**2 - 4*b - 6*b**3 + o*b + b**2 wrt b?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6\/4)\/((-8)\/(-144)). Calculate the greatest common factor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 183357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -9*d**3 + 11. Let l(c) be the third derivative of 13*c**6\/60 - 35*c**3\/6 + c**2. Let q(n) = 8*g(n) + 3*l(n). Find the first derivative of q(i) wrt i.\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 275 - 113841*q - 142 - 133.\nAnswer: -113841*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91*x + 2 - 250*x - 2.\nAnswer: -159*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23266 - 23266.13793. Round c to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -10, -0.5, -0.1, 3, 17 in descending order.\nAnswer: 17, 4, 3, -0.1, -0.5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.5  (b) -3  (c) 15  (d) -9\/4  (e) 0.04  (f) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -5*p - 5. Let a = 62 + -66. Is 4 a factor of q(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**3 - 6*m**2 + m + 4. Let u be 12\/(-4) + (-10)\/2. Let z = -14 - u. Determine h(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.13 + -5.13. Let r be 1\/2*5*(-18)\/45. Which is the nearest to r?  (a) -0.2  (b) 0.4  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**2 + 21*k + 29. Let u be q(-15). Let p = u - -184\/3. Let f = -23 + 47\/2. Which is the third smallest value?  (a) -0.2  (b) f  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(270)*2*4)\/(-3*sqrt(12)\/sqrt(2) + ((sqrt(66) + (sqrt(66) - 2*sqrt(66)) - sqrt(66)) + sqrt(66))\/sqrt(11)).\nAnswer: 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -437*n**6 + 6*n**5 - 15*n**2 - n wrt n.\nAnswer: -52440*n**3 + 360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = 6*d - 8. Solve -t = 5*z + 7, z + d*t - 7*t = 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*r - 311*r - 216*r + 4810 = 0 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -290 - 0.3.\nAnswer: -290.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -131379, -131378, -131375, -131370?\nAnswer: -131363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -33629, -33617, -33591, -33545, -33473?\n\"Answer: l**3 + l**2 + 2*l - 33633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 5058*g. Let w(k) = 3865*k. What is w(m(v))?\nAnswer: 19549170*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10719 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*z - 8*z**2 + 60*z - 113*z + 5*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 - (36\/9 - 1*2). Let t be 3\/(-2*q\/8). Suppose t*a - 31 = 1. What is the remainder when 62 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = a - 683, 3*a + 2*y - 2047 = -3*y. Let l = a + -581. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25831 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: Factor 4*s**4 + 124588*s**3 + 1322070552*s**2 + 5062777272080*s + 3008611247002592.\nAnswer: 4*(s + 721)*(s + 10142)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18 + -10. Suppose -o = 3*y - 2*y - 75, -3*o = 5*y - 231. Suppose 3*b - o = -b. Calculate the lowest common multiple of b and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 132819404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -14*z + 167. Let n be p(28). Let x = -901\/4 - n. Sort x, -3, 0.01 in ascending order.\nAnswer: -3, x, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8864, 35410, 79656, 141602?\nAnswer: 221248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 12\/10*(0 - (-5)\/2). Suppose -3*j = -3*c + 39, -r = -c - 0. Let m be ((-16)\/j)\/(2\/(-20)*-4). Solve -2 = 2*n + 3*k - m*k, 5*k = 5*n + 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110414 divided by -24?\nAnswer: -55207\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*k + k + 10*k + (-6 + 13 - 82)*(-k + 3*k + 0*k) - 3*k + 4*k - 3 - 3*k to o + d*k and give d.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*d - 180*d + 1265 + 91 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 + (58 - 390\/13).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + 6*m. Let h = 1.26 + -0.26. What is the nearest to h in -4, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 232631 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r + 2*k - 14, -5*r + r = k - 17. Suppose -72 = -z + r*d, 3*z - 4*d + 2*d = 226. What is the remainder when z is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the third derivative of 0 + 0*v + 1\/210*v**7 + 0*v**3 - 1\/60*v**5 - 1\/24*v**4 + 1\/120*v**6 - 2*v**2. Factor c(u).\nAnswer: u*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -5*h + 0*h + h + 2*h + h**2 - 31. Let n be o(7). Put -4, n, 13 in descending order.\nAnswer: 13, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9155 (base 11) in base 8?\nAnswer: 27600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2*((-27)\/2)\/9. Let p(r) = -r**3 - r**2. Calculate p(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7d2be (base 15) to base 12\nAnswer: -1729bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -103*u*w - 1596964*u + 2360*w wrt w?\nAnswer: -103*u + 2360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = j - 4*w + 17, -2*j = 2*w - 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64415 + 2248*q - 63735 - 2250*q + 128150.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -2*t**5\/13 - 398*t**4\/13 + 842*t**3\/13 + 7502*t**2\/13 - 27216*t\/13 + 24120\/13 = 0?\nAnswer: -201, -5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30 + -17 + -16 + (5 - (-2 - -2)) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -5*m + 176, 2*m + m - 135 = -3*q. Suppose p + 3*d - 4 = 3, -4*d = -3*p + 21. Calculate the highest common factor of q and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63 = -27*b + 20*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - -7 - (-4 + 5 + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*z - 225 = -0*z. Suppose 0*d = d - z. What is the first derivative of -8 - 17*a + d*a - 8 wrt a?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -164 (base 11) to base 3.\nAnswer: -21002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 3*h - 5*h - 1, 7 = 4*h - 3*p. Let u be ((-3)\/3)\/(h\/(-4)). Solve u*t - t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40179 (base 15) in base 7?\nAnswer: 1503240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -154368767\/18 - -8570930. Let x = o + 5116. Let b = -200511\/20 - -10023. What is the common denominator of b and x?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -50 + -24.459922.\nAnswer: -74.459922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8454974 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 - 0. Suppose -2*u - 3*l = -1, -y*l + 0*l = 12. Suppose -u*z = -5*o - 20, -14 = o - 4*z + z. Is o < 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -101313051*w**5 + 49226*w**2 + 226*w wrt w?\nAnswer: -6078783060*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 3*t = 0. Suppose 2*p - 9 + 1 = t. Let r(h) = -15*h + p*h + 14*h + 1. What is r(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 24633, 99345, 223865, 398193, 622329?\n\"Answer: 24904*d**2 - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, -1992, -5, 1 in descending order.\nAnswer: 11, 1, -5, -1992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 20 = 0, -5*t + 4*p - 3*p = -565. Let d(x) = -3*x**2 - 3*x + 3. Let l be d(-3). Let i = t - l. Round i to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, r: 1}. Give prob of sequence raa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 26 = 3*p, 3*p + p + 2*b = 52. Let m(t) = 4*t**3 - 4*t**2 + 3*t + 1. Calculate the remainder when m(3) is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -288, -304, -346, -426, -556?\nAnswer: -748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes before 8:51 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.43 - -0.13. What is the third smallest value in 3, 1\/2, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of -49*s**5\/20 + 33*s**2\/2 + 2*s + 27. What is the derivative of a(v) wrt v?\nAnswer: -147*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.079 - 25.921. Let d = h + 23. Which is the nearest to d?  (a) -2\/15  (b) 14  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (61\/122)\/((-1)\/40). Put u, 1, -10 in descending order.\nAnswer: 1, -10, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 208 + -2702\/13. Which is the nearest to 0?  (a) p  (b) -2  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*b**3*l**2 - 2*b**3*q + 70*b**2*l**2*q - 224*b*l**2*q + b*l*q + 13000*b*q wrt l?\nAnswer: 6*b**3 + 140*b**2*q - 448*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 120172*m**2. Let j(t) = 2*t**2. What is j(v(h))?\nAnswer: 28882619168*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 1 + 5. Let l be (-2)\/(-20) - (-3)\/f. Let o = -0.0331 + -0.0469. Put 0, o, l in decreasing order.\nAnswer: 0, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -92*u + 5702 - 606 = -3736. Calculate the remainder when 191 is divided by u.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 972 + -9699\/10. Find the common denominator of p and 13\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*h**5 - 15*h**4 - 3310*h**3 - 1320*h**2 = 0.\nAnswer: -11, -2\/5, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -4*c**2 + 3*c + 4. Let r(t) = -t**2 + 1. Let a(j) = i(j) - 6*r(j). Suppose -5*o + 6 + 9 = 0. Let g be (o\/2 + -1)*-6. Give a(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 10 = 0, 3*m = -8*f + 6*f + 5. Solve m*l + 4 = 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-2*(sqrt(4)*-2*-6)\/(sqrt(32) + sqrt(800)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -3*t**2 - 94*t - 13. Suppose -3*u - 3 = -r - 12, 3*u + r - 3 = 0. What is the lowest common multiple of u and z(-27)?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -15, -0.4, -2\/17, -8.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3500) - (sqrt(3500) - -3*sqrt(3500)))*-6 - sqrt(3500))\/(-6*(sqrt(5) + (sqrt(5) + (sqrt(15)\/sqrt(3) - sqrt(5)))*-5)).\nAnswer: 85*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(4\/3)\/p)\/p**8*p**(2\/29)*(p*p*p*p**(1\/5)*p*p*p)\/p*p assuming p is positive.\nAnswer: p**(-608\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 - 0. Let p = s + 7. Suppose 5*t = o - 5*o, p = 5*t + o - 15. Solve t*a = a + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*v - 14636 = 25*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 168921 and 156591?\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1)*d*d*d\/((d*d*d**4)\/d))\/((d*d*d\/d**(-3))\/(d*d**(-3)))*(d\/(d**(2\/13)\/d)*d*d**4)**(2\/47) assuming d is positive.\nAnswer: d**(-6543\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9085194 - 9085194 + 3*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 3*k**3 - 14*k**2 - 5*k + 12. Let t be l(10). Suppose 0 = 5*f + 5*c + 2323 - 378, t = -4*f - c. Let b = -264 - f. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 513 and 4332.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 8*k**2 + 518*k + 64. What is the thousands digit of u(-84)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -78 - -160. Let m = n + -36. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (497 - 508) + -12 + -1\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 351 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(((-4320)\/(-140))\/(-36)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:12 PM and 2:53 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3737)\/(-2020)*-30)\/(0 + 3\/2).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of m**4\/6 + 4*m. Let g(u) be the first derivative of -26\/3*u**3 + 0*u**2 - 5 + 0*u. Determine g(d(f)).\nAnswer: -104*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i - 20, -1305 = -5*m - 3*i + 4*i. What is the lowest common multiple of 416 and m?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3189, -12757, -28701, -51021?\nAnswer: -79717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 7*a - 93. Calculate the remainder when 45 is divided by k(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 12 + 5 + -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4 times 0.3504\nAnswer: 1.4016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4140337 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the first derivative of 2\/3*i**3 + 3 + 0*i - 1\/2*i**2 + 7\/4*i**4 + 4\/5*i**5. Factor y(v).\nAnswer: v*(v + 1)**2*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the first derivative of f**4\/8 + f**3\/2 + 3*f**2\/4 - f + 1. Let z(h) be the first derivative of o(h). Factor z(b).\nAnswer: 3*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 + 3*d - 2. Let q be t(3). Let v = -21 - -14. Let a be (-3 + v)*(-1)\/q. Let p(n) = -n**3 - 6*n**2 - 4*n + 7. Determine p(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 476336 by 8.\nAnswer: 59542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 669746 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -32*p + 38. Let z be n(-14). Suppose -2456 = -5*u + 5*h - z, 2*u - 778 = -3*h. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**3 - 20*o**2 + 16*o + 80.\nAnswer: -4*(o - 2)*(o + 2)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -806597\nAnswer: -2419791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**3 - 556*d**2 + 5658*d - 1142. Calculate v(-566).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 18 - 21) + 16?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**0\/i**(2\/11)*(i*i**(5\/3)*i)\/i**(2\/11)*i**(-3\/4)\/(i\/i**(2\/3))*(i\/(i*(i*i\/((i\/(i**(-1)*i))\/i))\/i))**(27\/4) assuming i is positive.\nAnswer: i**(-299\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 4 + 1)*(-17*m**3 - 15*m**3 + 2*m + 2 + 52*m**3).\nAnswer: -20*m**3 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -9*l**2 - 35*l - 1122.\nAnswer: -18*l - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:39 PM and 12:07 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*z**2 + z**2 - z + z - 5*z**3.\nAnswer: -5*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.12 - 17.88. Let k = d - -26. Let t = k + -7.9999946. What is t rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 489.6725 milligrams to grams.\nAnswer: 0.4896725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -2  (b) 28.34  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1627726 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (954*y - 1891*y - 13 + 13)*(3*y - y - y)*(1 + 3 - 2) as c*y + z*y**2 + v and give z.\nAnswer: -1874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 80 = p. Suppose 0 = r + 9 + 2. Let l = r + p. Solve -5*i + 9 = 3*u, -3*u + 6*u = i - l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/160 and -47\/10796415.\nAnswer: 345485280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 12 = w. Does 7 divide 3\/(-18) - 169\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**3 + 11*y**2 - 38*y - 161. Give l(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 599481?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132*i - 81*i + 616 = -200 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18904*f - 22332*f = -202252 for f.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.1043 + 0.0443. Let v = 0.11 + -0.06. What is the nearest to -0.1 in b, v, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -181\/817290 and -143\/216.\nAnswer: 3269160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4*102 - 0)\/(0 - 1). Is 3\/(-5) + y\/(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13 and 2710487?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 + 1 + -1)*9. Let b be (10\/15)\/((-3)\/h). What is o in 0 + 2\/3*o - 5\/3*o**b - 3*o**3 + 7\/3*o**5 + 5\/3*o**4 = 0?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 262995760 by 6574894.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the first derivative of -5\/16*x**4 + 5\/24*x**6 + 0*x**2 + 1 + 0*x + 1\/10*x**5 - 1\/6*x**3. Solve f(s) = 0 for s.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -560795 take away -0.06?\nAnswer: -560794.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 84593623 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and 10705.\nAnswer: -5352.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 b, 1 w, and 1 n when four letters picked without replacement from nbbnwhwnn.\nAnswer: 8\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.01 and -57.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 45, 179, 403, 717, 1121, 1615?\n\"Answer: 45*u**2 - u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1088)*-3 + sqrt(1088) + -4 + (sqrt(136)*-5)\/(sqrt(2) - sqrt(72)\/sqrt(4)))**2.\nAnswer: -296*sqrt(17) + 23289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 3*d - 17. Let l be s(5). Let t = -1 - 2. Sort t, l, 3 in increasing order.\nAnswer: t, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -260 - 4153 = 188*a + 3295 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -209 - -214. Find the second derivative of -11*f**v - 2*f - 2*f + 4*f**5 - 7*f**5 wrt f.\nAnswer: -280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3220 + -1528. Does 47 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1807 + 3318. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1456112.\nAnswer: 2, 7, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -26001073 * 0.3\nAnswer: -7800321.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 1, 34864 - 7272 = g - 3*j. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of -f**3\/3 + 11*f**2\/2 + 14*f - 12. What are the prime factors of t(6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -4*x - 22. What is the least common multiple of w(-14) and 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -32*q**2 + 23 - 22 - 9*q**2 in the form o*q**2 + i*q + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27\/225*5\/(-2).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -23, -10, 27, 100, 221, 402?\n\"Answer: 2*k**3 - k - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 267085 and 43748523?\nAnswer: 218742615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 4*c = -2*n - 10, 15 = 3*c - 4*n. Suppose 189577 = -c*s + 1539577. What is s rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1400732 by -2.\nAnswer: 700366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes before 1:26 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**2 + d. Let l(a) = -a**3 - 8*a**2 + 10*a + 5. Let g(u) = -l(u) - 2*m(u). What are the prime factors of g(-11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 614 + 2640113?\nAnswer: 2641030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of 126 + 0*b + 0*b**2 - 1\/3*b**3. Let w(i) = 17*i**2 - 1. Determine t(w(v)).\nAnswer: -289*v**4 + 34*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.13 + 0.13. Let x = 56579\/5 + -11376. Let o = 60 + x. Which is the second smallest value?  (a) -1\/3  (b) o  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 - -11. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 4*f + 5*u, -f + 2*u - 11 = -2*u. Suppose 5*a - 1 = -f*r - 6, 3*a - r = 1. Let d = 8.5 + -16.5. Which is smaller: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 1703695248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, d: 1, l: 4, s: 1}. Give prob of picking 1 b and 2 l.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 928 and 238728.\nAnswer: 954912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -1084  (b) 0.3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21.5346*389.\nAnswer: -8376.9594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 9) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000001191 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*p - 4*n, -5*p - 4*n = -0*n - 23. Let d(o) = -p*o - 3*o - 15 + 1 + 2*o. Give d(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 + 5.97. Let m = 0 - i. Let p = 0.85 - m. What is p rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6 - (9\/3 - 3). Differentiate -12*b - 3 - r + 3 - 4 wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c*(c**7\/c*c)\/c*c)**2*(c*(c*c**(4\/3))\/c)**(-27))**(-11) assuming c is positive.\nAnswer: c**495","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -u + 8, -7*u - 4*o = -2*u - 97. Let a(h) = -h**2 + 20*h - 41. What is the remainder when 48 is divided by a(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 10979, 22006, 33033, 44060, 55087, 66114?\n\"Answer: 11027*t - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1110010000111011100 (base 2) to base 13\nAnswer: -1349a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -4*v - v. Suppose 365 = v*c - 139. Let x = c - 3. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -432 - 80 = -32*u. What is the least common multiple of 1512 and u?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2*z**3 - 1. Let f(x) = -154*x**3 + 3*x**2 + 1. Let s(u) = f(u) - 4*q(u). What is the third derivative of s(i) wrt i?\nAnswer: -876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 91\/4 and -67\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 119945, 239905, 359865, 479825, 599785?\n\"Answer: 119960*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 2924.59912 to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 + -23 + 11 - -15) + -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 63, 133, 203, 273, 343, 413?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28003, 28002, 28001, 28000?\nAnswer: 27999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8640)*2)\/sqrt(12).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 - 133516503?\nAnswer: -1335164a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 158 + -179. Let z be -3*7\/j*0. Solve z = -2*f - 2*f + 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 + 4. Let r be (99\/(-198))\/((-2)\/12). Let v(c) be the third derivative of -c**3\/6 - 19*c**2. Give r*v(u) + p(u).\nAnswer: u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4063, 8130, 12191, 16246, 20295?\nAnswer: 24338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 + 6*j**2 + 3. Let b be i(-6). Let q = 13 + b. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -18510 to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2 + 13*f - 42.\nAnswer: -(f - 7)*(f - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -25240 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2*8)\/((-4)\/(-6)). Let s = 2317979\/759980 + -2\/37999. What is the common denominator of s and (-628)\/p + -2 + -3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the third derivative of -a**6\/360 + a**4\/12 + a**3\/2 - 3*a**2. Let n(b) be the first derivative of v(b). What is the derivative of n(p) wrt p?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the second derivative of v**7\/21 + v**6\/15 - 13*v**3\/6 + 7*v**2\/2 - 26*v. What is the second derivative of i(n) wrt n?\nAnswer: 40*n**3 + 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + -16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -62505 divided by -1\nAnswer: 62505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15 + 21. Suppose -4*z + 2*y + 50 = 0, 5*z + 2*y + 28 - 86 = 0. What is the greatest common factor of z and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 7 - (-33 + 12 + -2 - (7 + 2)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-46)\/4)\/(6318\/216 - 29)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 - 9 - ((-2885)\/(-575) - 13). Is q > -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes before 1:35 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -33\/21176 and 53\/8?\nAnswer: 21176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -88 + (158 - 85) + 44?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**2 - j + 1. Give s(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 15*z - 40. What is the third derivative of -20*y**2 + 3*y**z + 566*y**3 + 2 - 515*y**3 - 3*y**4 + 3*y**5 wrt y?\nAnswer: 180*y**2 + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 210, 229, 250, 273, 298?\n\"Answer: r**2 + 16*r + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -2*z**2 + 27*z + 509. Calculate h(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-29)\/(348\/2709600)*-15. Round r to the nearest 10000.\nAnswer: 3390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00649 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**2 - 8*h - 7. Let q be l(-6). Suppose -7*x + 51 = 2. Find the first derivative of -8*r**2 + 4*r**2 - q + x*r**2 wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2622 - 62903\/24. What is the common denominator of 24\/11 and y?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -305*c**3*l**2 - 25*c**3 - 2*c**2*l**2 - c**2 - 2*c*l**5 + 6*c*l wrt l.\nAnswer: -610*c**3 - 4*c**2 - 40*c*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m + 3*m - m - 1)*(-42*m - 41*m + 9 + 89*m).\nAnswer: 12*m**2 + 12*m - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 35674 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(208*1))\/((-16)\/(-128))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14.1 - -16. Let l = 2 - m. Let p be 7\/(-21) + 10\/12. What is the third smallest value in l, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -17 - 1\/((-2)\/8). Let g = 39 + q. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 4*n. Let b = -1.4 - -1. Let u be 6\/(-4)*200\/(-60). What is the closest to 2 in u, b, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 1) + (10 - (9 + -2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3181 and 159781630?\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/11)\/((-8)\/352). Calculate the greatest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4380190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -43 + 48. Which is the third biggest value?  (a) 104  (b) t  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -4*o - l, 2*o + 3*l - 14 = 6. What is the lowest common multiple of 23 and o?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -4*o + 69. Let f be b(16). Let t be (f\/(-10))\/(4\/(-24)). Solve 0 = -t*l - 4*s + 1, s = -l - 3 + 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -3*j**2 + 5*j - 2. Give q(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5778 - -5783.253. Let p = 6.54 - o. Let i = 0.98 - p. What is i rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 156835 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-6)\/c)\/c**6)\/(((c*c*c\/(((c\/c**(1\/3))\/c)\/c))\/c)\/(c*(c*c*c**(-2)*c)\/c*c)) assuming c is positive.\nAnswer: c**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -126*r - 35*r + 2*r - 5 - 69*r.\nAnswer: -228*r - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -3\/2, -4\/11, -38, -3?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1003*h + 306*h - 1546*h - 1091*h.\nAnswer: -3334*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 156188297?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25 + 52 + m - 99.\nAnswer: m - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.1 + 1.4. Round v to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*r**4 + 4*r**4 - 3*r**4 + (-r**2 + 2 - 2)*(4*r + r**2 - 4*r) - 5*r**2 + r**4 + 5*r**2 + 2941*r**4 + 2624*r**4 - 269*r**4.\nAnswer: 5294*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/8 - (0 - 1). Let a = -0.0195 + -0.0805. What is the nearest to a in 6, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/5, 3, -21, -30?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 40698 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 6:41 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.6 + 7. Let y = 4 - m. Suppose 2*h - f + 8 = 4*h, 4*h + 4*f = 12. Which is the third smallest value?  (a) y  (b) 3\/2  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange n + 0*n**3 - 11*n**3 - 2*n to the form w + z*n**2 + r*n + y*n**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.5159801 - -987.3998199. Let z = 949.92 - c. Let m = -38 - z. Round m to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8642827 is divided by 169?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 45232210 and 400?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5100562.51295 + 5098379.69095047. Let a = 2182.789 + s. Let f = a - -0.033. Round f to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 30 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 88*l**3*r**5 - 9*l**3*r**3 - 220*l**3*r + 2*l**3 wrt r.\nAnswer: 1760*l**3*r**3 - 54*l**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the third derivative of -t**4\/12 - t**3\/6 - 21*t**2 - 7. Let s = -41 - -28. Let o be (-2)\/s + 160\/(-26). What is j(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*((-171)\/45 - -4) + 36\/(-15).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tjd when three letters picked without replacement from {d: 1, t: 5, j: 4}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2 - 2*u - 4. Let a be -1 + 3 + -3 + 8 + -3. Calculate m(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 459875024.\nAnswer: 2, 7, 17, 41, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -3 + 2*y**2 - 3*y**3 + 2 + y**3. Let b be d(1). Let n be 41 + 3 + b + -1. Calculate the greatest common divisor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-16 + -34)\/(-2) + (-3824)\/160\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, -5, -1 in descending order.\nAnswer: 5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 36 = -4*s, 22 = -3*s - 3*x + 4. Let w be ((-751)\/(-4))\/((-2)\/(-4)). Let h = w + -384. Which is smaller: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -99\/64 and 15\/8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 34560*k. Let x(h) = -464*h. Determine x(t(v)).\nAnswer: -16035840*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*b**3 + 0*b**3 - b**3 + (2*b - 2*b + 6*b)*(-b + b**2 + b))*(-3*b - 2*b + 8*b) in the form n + q*b**4 + c*b + p*b**2 + s*b**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 561334 is divided by 70161.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and 52705.46.\nAnswer: 10541.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) 5  (c) 0  (d) 0.31  (e) 743\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27248765 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -3*q**3 + 14*q**2 + 11*q + 1. Let r be x(-9). Suppose -5*k + 148 = r. Let p = -1325\/2 - k. Calculate the common denominator of -101\/6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = v - 2, -2*n + 4*n - 5*v = 18. Suppose 14 = n*h - 2. Solve 0*t + 14 = -5*r - 3*t, -h*r + 8 = -4*t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2641 (base 13) to base 3\nAnswer: -21111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes after 1:37 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z + 4 - 6. Suppose z*c = -c. Which is smaller: c or -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 230091, 460183, 690275, 920367, 1150459?\nAnswer: 1380551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2\/3 - 280*w + 4150\/3.\nAnswer: 2*(w - 415)*(w - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -15 + 2 + 4 - 17 + 22*s**3 wrt s?\nAnswer: 66*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -19) + (-23 - -22) + (90 - 35).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -4*u - 364, -2*u - 175 - 97 = -3*k. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 11) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 2*v = g - 8, 5*v - 4*g - 31 = 0. Suppose -3 = c + 5*r, -2*c + 4*r = -v*c - 15. What is the nearest to c in -0.2, 5, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*z**5 - z**4 + 1164*z**3 - 10275*z wrt z?\nAnswer: -40*z**3 - 12*z**2 + 6984*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 541*l**3 - 10*l**2 - 539*l**3 + 732 + 5*l - 731 to o*l**3 + p*l + k + v*l**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 PM and 7:40 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-14)\/84 - (-757)\/6. Let h be 1770\/k + (-6)\/(-21). Let r = 14 - h. Which is the biggest value?  (a) 1\/6  (b) r  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 46550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 160 and 1160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16753.\nAnswer: 11, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 != 4\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.4 - -1.4. Let o = 6.86 - 4.86. What is the nearest to c in 0.2, o, 26?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 PM and 10:22 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6733626528?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3 - -2) + (-1 - -9). Suppose v + 50 = 5*v + 5*j, 0 = -2*v + j + 18. Suppose -9*q + t*q + v = 0. What is the remainder when 23 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 14) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -28118 + 28284. What is the greatest common factor of 35524 and l?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 2*k - 1 - 4*k**2 + 6*k**2 - 4*k - k**2. Let p(c) = 3*c**2 - 4*c - 2. Let q(d) = 5*j(d) - 2*p(d). Factor q(h).\nAnswer: -(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61197291.\nAnswer: 3, 6799699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:22 AM and 9:55 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 64 - 58 - (-2 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 539743 is divided by 107935.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 70a + 2?\nAnswer: 70c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -17*m + 7*m - 13*m + 2*m. Let o(q) = 3*q**2. Give o(y(s)).\nAnswer: 1323*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001688 rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -5*n + a + 2*a, -2*a = 3*n - 4. Suppose y + 5*k = 18 - 0, n*k = 2. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 123835524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -39*y**5 + 5*y**4 + 74*y**2 + 5*y. Let i(n) = 58*n**5 - 8*n**4 - 111*n**2 - 8*n. Let w(m) = 5*i(m) + 8*x(m). Find the third derivative of w(t) wrt t.\nAnswer: -1320*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the second derivative of -d**3\/3 + 5*d**2\/2 - 3*d. Let p(c) = 2*c - 4. Let y(n) = 3*i(n) + 4*p(n). Calculate y(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -39 + 109*g**3 - 110*g**3 - 7*g**2 + 27*g**2 + 46*g. Let w be l(22). Solve -i = -2*d + 5, -2*i + w*i = d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 c, and 1 p when three letters picked without replacement from hkpncsnhnpsnpnhsnpc.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*l = -22*l - 10, -44 = 3*y + 5*l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105*b + 6 = -108*b. Let g = 19 + b. Solve 3*a = g - 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t = -18*p - 40 - 32, 17*p - 4 = -t + 18*p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:27 AM and 11:43 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/12 and 69\/74.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3818117 to the power of 1\/2, to the nearest integer?\nAnswer: 1954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is (-8 - -1)*9900\/(-70) a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the first derivative of 14*j**3\/33 - 1783*j**2\/11 - 1020*j\/11 - 1296. Factor u(n).\nAnswer: 2*(n - 255)*(7*n + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -2  (b) -0.1  (c) -11  (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -33, 9, -5, 5 in increasing order.\nAnswer: -33, -5, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the third derivative of 5\/24*u**4 - 4*u**2 - 1\/60*u**5 + 0*u - 1\/120*u**6 + 0 + 1\/3*u**3. Calculate t(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 6 = -5*r. Let a = 12 - r. Let j(q) = -8*q - 249. Let k be j(-48). Calculate the highest common factor of k and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 738908 and 48?\nAnswer: 8866896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -7, -201, -18 in decreasing order.\nAnswer: -4, -7, -18, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 803731 to the power of 1\/2, to the nearest integer?\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 80718.13 litres in millilitres?\nAnswer: 80718130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + 5. Suppose -u = o + 1. Let m be 30\/(-4)*22\/33. Sort o, 5, m in decreasing order.\nAnswer: 5, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4918629 to the nearest integer?\nAnswer: 2218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -358591905 divided by 5\nAnswer: -71718381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (18 - 21)*(-2 + 1). Which is bigger: 5 or r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1903\/6 - -1006\/3. Calculate the common denominator of -32\/9 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64463129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:25 PM and 5:21 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -123744861*j**4 + 58564674*j**2?\nAnswer: -2969876664*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1139573.40000176 + -1139572.3. Let w = 0.21 + 0.89. Let v = w - m. Round v to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 407 * 6\nAnswer: 2442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1*(-2 - -15) - (-234 - -220)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 3*q + 12, 3*q = -3*r - 4 - 2. Let h(s) = -s**3 - 9*s**2 + 5. Suppose 0*m - 45 = 5*m. Let n be h(m). Solve r = -n*c + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 332 + 231323?\nAnswer: 232321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-252)\/(-154))\/(12\/396*6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3 + 0)\/(-3) + -1. Let l = h + 3. Let n be -4 - (l - (-2 + 2)). Is n > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1001 and 85425340?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1077.364846907 and 0.4.\nAnswer: 1077.764846907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes after 9:07 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01425 take away -0.3739368586?\nAnswer: 0.3881868586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -18.36 - 695?\nAnswer: -713.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -5 times -7.34955\nAnswer: 36.74775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002938188466 to five dps.\nAnswer: -0.00294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 + 9*c**2 - 2*c - 2. Let j be u(-9). Let v = j - 10. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1510 + 1516. Is -143 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -399 - -390. Let h = -4 - z. Which is the closest to 1\/8?  (a) 2\/11  (b) -0.4  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 46161\/2007 + 114\/(-9)*-6?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 211.17*-35.55.\nAnswer: -7507.0935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 98 and 1165759?\nAnswer: 2331518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 130074981821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11 - -13. Suppose -z = 5*p + 2*z - 14, -13 = l*p - 5*z. Which is the closest to p?  (a) -2\/13  (b) -4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of c**4*g*r + 14*c**4*g + 70*c**3*g*p + 5*c**2*g*r - 4*c**2*p*r - 12*c*g*p*r + g*p + 3*p*r wrt c?\nAnswer: 24*c*g*r + 336*c*g + 420*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*f**2 - f**2 + 7*f**2)*(2 - 2 + 4)*(0*f + 4*f - f) to the form w*f + o*f**3 + r*f**2 + l and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 49 - -7. Let g = 0 + v. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 13 = -n, 4 + 6 = -2*n - 5*u. Let o = -0.1 - 0.3. Let z = o + -0.1. Which is the smallest value?  (a) n  (b) z  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 1 - 3)*(4 + 0 - 3)*(-8*i**3 + 56*i**2 - 58*i**2 - 4*i**3) to z*i**3 + r*i**2 + b + p*i and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 36651 divided by -1?\nAnswer: -36651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -501*d**2 - 13*d - 41. Let u(g) = 246*g**2 + 6*g + 19. Let w(h) = 6*l(h) + 13*u(h). Let o(k) = 2*k. Give o(w(c)).\nAnswer: 384*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 7:38 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3267 + -2600. What is the highest common factor of z and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-1)\/(-6))\/(261\/(-54) - -5). Let b be 14 + (0 - p)*-6. What is the highest common factor of b and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/664719 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes before 12:29 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 3 o when four letters picked without replacement from xsxohozsxxox?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 18*w**3 + 7*w**2 + 7*w - 9. Let o(f) = -9*f**3 - 3*f**2 - 3*f + 5. Let h(j) = -7*o(j) - 3*t(j). What is the derivative of h(q) wrt q?\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y - 55. Let c(x) be the first derivative of -37*x**3\/3 + 335. Determine c(m(o)).\nAnswer: -37*o**2 - 4070*o - 111925","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.4  (b) -0.06  (c) -0.4  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 + 1a11a4?\nAnswer: 1a11a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3 + 7*z**2 - 8*z + 10. Let a be q(6). What is the fourth smallest value in a, -1, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 265815 and 19332.\nAnswer: 1063260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 3*a - 2. Let w(t) = 2*t - 2. Let h(z) = -5*u(z) + 6*w(z). Give h(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + -10 - 2 - -12.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: ((8\/(-12))\/(-1))\/((-166)\/(-747))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 133104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -401358*m - 2006808. Determine t(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 237 - 474 + 237 - 2*s. Let v(w) be the first derivative of 107*w**2 - 83. Give c(v(x)).\nAnswer: -428*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 265*i**3 - 789*i**3 - i**2 + 2*i + 256*i**3 + 264*i**3 - 2 to q*i + b*i**2 + n + y*i**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -85*y + 49. What is r(0)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1233 + -1213. Let y be 9*5 + -1 + 1. Suppose -k + y = d. Calculate the remainder when 97 is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 636 and 17843934?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1008 - 1005.955. Let d = a + -2. What is d rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2259102063 to the nearest integer?\nAnswer: 47530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 3*t - 531840012, 3*a - 222 = -213. Round t to the nearest 1000000.\nAnswer: 177000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f - 5*p + 258, 171*f - 167*f - 450 = p. Solve 0 = -8*x - 11*x - f for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -124.039 - -129.33961. Let l = 5.331 + -0.031. Let c = l - f. Round c to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*y + 5*r, -1 = -0*y - y - 3*r. Let x(a) = 3 - 6*a - 1 - y + 3. What is the units digit of x(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -8*p + 1. Let g be 236\/(-4) + 2 - 1. Let q = -25 - g. What is the remainder when q is divided by b(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -50 - (-36 - -51 - 9 - ((4 - 5) + 7))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126*w - 143*w - 119 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -20473 + 20477. Put 57, p, -3 in descending order.\nAnswer: 57, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 6, c: 1, t: 2, j: 3, i: 1, w: 2}. Give prob of sequence jaai.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-5*((2*-2*sqrt(550))\/((sqrt(11) + sqrt(44))*-2))**2*-6.\nAnswer: 8000\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 376*p + 2820. Let g(x) = x + 10. Let q(u) = -1410*g(u) + 5*i(u). Let h(m) = 2*m**2. What is h(q(l))?\nAnswer: 441800*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1089358 to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -g**3 - g - 4*g - g + 0*g**3 wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*c - 3205 = 1685. List the prime factors of c.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.136 + 0.136. Sort -0.2, j, 2, -0.1 in decreasing order.\nAnswer: 2, -0.1, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-422280)\/(-115))\/72*((-16)\/6)\/(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10657479, -10657471, -10657463, -10657455, -10657447?\nAnswer: -10657439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.31 - -0.01. Let k = 6 + -1. What is the second smallest value in w, k, -3\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8337 + 8339. What is the nearest to -6 in 53, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -40000\/7*u + 4\/7*u**4 + 0 + 11600\/7*u**2 - 416\/7*u**3.\nAnswer: 4*u*(u - 50)**2*(u - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 49*a**3*w**2 + 29*a**3*w + 8*a**2*w**2 + 5000*a*w**2 - w**2 + 2 wrt a.\nAnswer: 294*a*w**2 + 174*a*w + 16*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/9  (b) -7.6  (c) 3  (d) 162  (e) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -841*i**4\/2 - 274195*i**3\/2 - 1131117*i**2\/8 - 19013*i\/4 - 325\/8 = 0. What is i?\nAnswer: -325, -1, -1\/58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 2*n - 3 = -b, n + 5*b - 15 = 0. Let a(u) = -u**3 - 2*u + 4. Let z be a(n). Let y = -1 - -1. Solve y = -o - o + z, -2*o = -f + 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*d + 3. Suppose -4*c + 22 = d*x, -x + c + 0*c = -19. Suppose -7 = -3*n + x. What is the remainder when 20 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*n = 41*n - 6. Suppose 0 = -n*k + 568 - 494. Solve f - 42 = -k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a + 8 + 22. Let j(b) = 3*b - 4. Let m be j(5). Suppose -a*x = -m*x - 64. What is the smallest common multiple of 2 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-192)\/168 - (-284)\/28. Solve 2*r + b + t = 0, 0*b = r + b + 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 9 = 6. Suppose -4*a + 5*d - 24397 = 4*d, p*a - 3*d = -30491. Round a to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from emqeqqqqqxqqqqqqv?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 24858670303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s + 3*s - 2*s)*(7*s**2 + 52 - 52) + 9*s**3 - 7*s**3 - 4*s**3.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(-2\/7)*s)\/s*s\/(s*s**(-7\/6)))\/(s*s**(-3)*s*s*s)**(-47))**(-5\/8) assuming s is positive.\nAnswer: s**(-10055\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 391069.3 micrometers?\nAnswer: 391.0693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 80 = 4*s - 52, -s - 3 = n. What is the third biggest value in -1\/9, n, -144?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04 take away 82876?\nAnswer: -82875.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {l: 8, k: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 5479366593?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 271 - 269. Put 7, t, -1, 4 in descending order.\nAnswer: 7, 4, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = 2*i - 22, 2*i + 3*s = -i + 30. Suppose -87 = -5*x + 2*x. What is the remainder when x is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07 take away 7152.11?\nAnswer: -7152.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u + u - 5*u)*(-1158*u**2 + 2305*u**2 + 3*u**3 - 1155*u**2 - 9).\nAnswer: -3*u**4 + 8*u**3 + 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1425 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 < 103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 3\/5*q**4 + 1\/5*q**5 - 23\/5*q**3 - 14\/5*q + 33\/5*q**2 = 0. What is q?\nAnswer: -7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - 4*t - 15, -q - 3*q - 2*t = -12. Let h be 9\/q*3\/(-27). What is the closest to h in 0.5, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 246788411?\nAnswer: 131, 1883881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -36893 rounded to the nearest one thousand?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a week in hours?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 - (-2222460)\/25)*(-15)\/(-9)*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22817*p + 60266*p + 224481*p.\nAnswer: 261930*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -2\/5, 3.6, 2, -3\/25, -4.\nAnswer: -4, -2\/5, -3\/25, 0.5, 2, 3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -129*s = -155*s + 1067*s - 28107 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 2 = -b. Suppose b*r - 57 = -7. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - v - 3*h - 9, -v - 3*h = 11. Let s = v - -1. What is the units digit of (8 - s\/1)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 99725696 and 72?\nAnswer: 897531264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, 2\/17, -40?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-2)*-5*(-71)\/((-32305)\/28).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 16) to base 12.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 630 = g. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-26)\/4 + -13 + 16.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + (2 - (25 + 2 + 12)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 439 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*v + 10*v + 252. What are the prime factors of ((-15)\/35*20)\/(3\/v)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 18*m - 770 = -732. Put 2, m, 5041 in decreasing order.\nAnswer: 5041, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/5, -0.223642, 0.1?\nAnswer: -0.223642","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 9*b - 61950008 = -13*b, 2*a - 24779990 = 5*b. What is a rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/26*299\/(-23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -336*j**2*v**2 - 9*j**2*v + 4834*j**2 - 246*j*v - 2*j + 2*v**2 + 141 wrt j.\nAnswer: -672*v**2 - 18*v + 9668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 199 + -199. Suppose b - 2*c - 7 - 6 = 0, x = 2*b + 2*c - 14. Suppose -6 = -3*r + 2*r. Are r and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -17*x + 8*x + 12*x - 2*q + 34, 9*q + 526 = -x + 505 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-96)\/(-4))\/4*-1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -331*j**3 - 5*j**2 + 16*j?\nAnswer: -1986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes after 6:57 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -3*f. Suppose g + 5 = 2*g. Suppose f = 4*s - g*s + 3. Solve -3*z + 18 = s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 230782 and 100717.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 2*x + 53, 2*x + 2*t + 15 = -33. Is x\/(-75) + (-1516)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s + 27 + 21. Let b = s - -18. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4852 + 10478 - 2794)*(2*l + 3*l - 4*l).\nAnswer: 2832*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 259*r**2. Let i(h) = -h**2. Calculate i(v(o)).\nAnswer: -67081*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1)\/(-1))\/(-2) - (-5040777)\/98. Find the third derivative of 3 - 3 - s**6 + 28*s**4 + j*s**2 - 51450*s**2 wrt s.\nAnswer: -120*s**3 + 672*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.045?  (a) 4  (b) -2  (c) 19\/6  (d) -0.398\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 220 and 8690.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/2 of a kilometer in meters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3612901, 7225796, 10838691?\nAnswer: 14451586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6 and 45.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i + 6. Let g be r(5). Suppose f = g - 3. Sort f, 0, 3 in decreasing order.\nAnswer: 3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -92, -76, -60, -44, -28?\n\"Answer: 16*k - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (r - 8*r - 27*r + (-r + 5*r - 2*r)*(0 - 3 - 4))*(r - r + 2*r) in the form y + w*r + n*r**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2119*d**2*w**2*y**3 - d**2*w**2 - 2*d*w**2*y - 13*d*w*y**3 - 3*w**2*y**3 - 8*w*y wrt d?\nAnswer: 4238*w**2*y**3 - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 3255*s + 113932. Give o(-35).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 112\/(-42)*6\/4. Let i be -1*(x - 0\/(-3)). Let h(g) = g**3 - 9*g**2 + 19*g - 1. Let f be h(6). Sort f, -1, i in ascending order.\nAnswer: -1, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.78 rounded to one dp?\nAnswer: 14.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0053225 rounded to five dps?\nAnswer: -0.00532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 303*g**3*u**2 + 115*g**3 + 5*g**2 - 2*g - 12588*u**2 wrt g?\nAnswer: 1818*u**2 + 690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/(-30))\/((-70)\/(-525)). What is the third biggest value in o, 4, 20?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 20*j**3 + j**2 + j - 3. Determine b(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.3288 and 20419041?\nAnswer: 20419041.3288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35 + -28 + -44 + 32.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-2*(-5)\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15900700 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -573*p + 1174*p = 518*p - 1826 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, k: 3, d: 1, y: 5, p: 4}. Give prob of sequence ypkd.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-10)\/4*8\/(-10). Let c = 244 - 240. Suppose i - u = 2*a, 4*i - 6*i = c*a - 36. Solve -14*v + 12*v + i = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -51984.5258 rounded to the nearest one hundred?\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-3)*(-6)\/(-10). Which is the nearest to w?  (a) -0.4  (b) 5  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5975565*m**3 + 55*m**2 + 88467 wrt m.\nAnswer: 35853390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 426, 6654, 1 in descending order.\nAnswer: 6654, 426, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 284712 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 - p. Let g be n(10). Does 30 divide (-2 - -3) + -1 + g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 98475783?\nAnswer: 3, 7, 487, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, 5, -5, -36 in increasing order.\nAnswer: -36, -5, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 4 - 14 = 2*s, 0 = -f - 4*s - 20. Suppose m - 1 = -f*m. Let i(v) = v**3 - 3*v**2 - 4*v - 2. Let p be i(4). What is the closest to m in p, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 - 0)*-1*2. Let u(g) = -g**3 + 2*g**2 + 3*g - 3. Let c be u(2). Let j be ((-4)\/(-2) - 1)\/c. Which is smaller: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*-1891.6\nAnswer: 1891.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 162641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 10, a: 3, s: 2, t: 4}. What is prob of picking 1 t, 1 l, and 1 s?\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1719552 divided by 32\nAnswer: -53736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 35012*v**2 - 35013*v**2 + 33*v - 184*v + 2*v**2 - v + v + (-4*v**2 - 2*v**2 + 4*v**2)*(-4 + 3 + 0) to w*v + y + g*v**2 and give w.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 10*v - 9*v. Let c be -607 - (-4 - (0 + 2 + v)). Let y = -224 - c. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-5 + 1*sqrt(1088) - sqrt(1088))*-4 + (-5*sqrt(17) - sqrt(17) - sqrt(17))*-1 + (sqrt(1700) + sqrt(1700)*-5)**2.\nAnswer: 7*sqrt(17) + 27218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-166)\/(-140) + -49 + (-11662)\/(-245)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(468) - -1*sqrt(468)) + 2 - ((sqrt(468)*2)**2 + -5))*3.\nAnswer: -33570 + 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1c - -1?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 194529?\nAnswer: 3, 61, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -4*q - c + 57, 2*q - 5*c = 63. Let j = 2063\/8 - 257. Calculate the common denominator of 4\/6 - 314\/q and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*x - 33*x - 48 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1396177?\nAnswer: 19, 73483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27061 is divided by 751.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 5, f: 2}. What is prob of picking 1 f and 2 e?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 - 0.7219.\nAnswer: -0.7219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 40721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of 3*p**5\/5 + 21*p**4\/4 - 18*p**3 - 122. Let x(s) = 0. What is s?\nAnswer: -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 2*c**2 - 3*c + 1. Let z be n(2). Suppose 2*d - 222 = 5*r, d = -3*d + z*r + 430. Let v = d + -35. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0, -82, -4, 2 in ascending order.\nAnswer: -82, -4, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 971 and 5?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -5*d - 6, -5*y - 5*d + 4 = -6. Calculate the remainder when (-26)\/4*-2 - (-3 - -37 - 49) is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 882 divided by 18.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*g**3 - 152*g - 170*g + 1 + 2*g**4 + 324*g to c*g**4 + s + u*g**3 + f*g**2 + k*g and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 7*a**2 - 31*a - 29. Let n(p) = -3*p**2 + 15*p + 15. Let m(c) = -2*k(c) - 5*n(c). What are the prime factors of m(15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jhjhhhhhjjjjjjhhjjjh. Give prob of picking 2 h.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*z + 160 = -3*z - 4*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -19789 - -77?\nAnswer: -19712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7.3 or -2337.1?\nAnswer: -2337.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 105, 209, 313, 417?\n\"Answer: 104*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -6*u + 458. Let i(a) = 30*a - 2287. What is 8*i(p) + 38*q(p)?\nAnswer: 12*p - 892","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 - 20. Let x be 4*(33\/l - -4). Let s(d) = -d + 5. Give s(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -77 - 832*v**2 - 75 - 71 + 2*v + 223 to the form m + s*v**2 + n*v and give s.\nAnswer: -832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*o - 5*u, o + 522*u - 519*u = -8. Let s = 54800\/53 - 1034. Which is smaller: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2531 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10460*n - 10455*n + 3*n**3 + 6*n**3.\nAnswer: 9*n**3 + 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -27337195 take away 770?\nAnswer: -27337965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 52 - 35. Let u = 22 - k. What is the remainder when 7 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 4*i + 4 = 0. Let p be 3 - ((-50)\/(-13) - i). Let j be 3 + (-3)\/((-30)\/(-28)). What is the third smallest value in p, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 19377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 210 = -15*a + 75. Let m be 4\/(-6) + (1 - (-93)\/a). What is the second smallest value in m, 0, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w**2 - 298*w - 300 = 0. What is w?\nAnswer: -1, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -25 - -60. List the prime factors of 215\/d + (-1)\/7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, -2\/3, 7\/5, -2\/11, -1, -23.\nAnswer: -23, -1, -2\/3, -2\/11, 7\/5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -44 + 47. Suppose -62 = -n*r - 2. Let a(g) = g**3 - 20*g**2 + 2*g + 2. Let f be a(r). Calculate the highest common factor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/8*((-21)\/(-9) - 1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69\/65 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -80.7 - 31?\nAnswer: -111.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 4*n + 3. Let b(c) = -3 + 0 + n - 74*c. Let w be b(-1). What is the greatest common divisor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 plus 3099?\nAnswer: 3098.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-136)\/(-17))\/((-72)\/(-8)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/20 and -57\/62?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.4, 3\/7, -3\/28, -9, 0.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 - (2 + (-3 - -4)). Let p be d\/2 - 63\/18. Which is smaller: p or -15\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, c: 2}. What is prob of sequence cvv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 11 + 12 - 5*s - s**2 - 29 - 3*s**3. Let g(f) = -9*f**3 - 3*f**2 - 14*f - 17. What is -6*g(k) + 17*y(k)?\nAnswer: 3*k**3 + k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dadajddaajad. What is prob of picking 2 a?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and -617.\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -50 - -83. Let o be (-1)\/(-3) + u\/9. Suppose -o*g = -166 + 14. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-16)\/(-24) - 1)\/((-3)\/72). Let p(q) = 16*q - 134. Calculate p(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -90 in 1.43, 2\/5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 21\/2 + (-3)\/6. Suppose -3*q + b = 2*q. Factor a + a**q - 2 + 2.\nAnswer: a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - (-9 - -8)*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z + 13. Let d(c) = -2*c - 25. Let v(h) = -4*d(h) - 7*q(h). Determine v(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -69721 - -6.184?\nAnswer: -69714.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.1 - 1.1. Let p = 2.26 + -1.76. Which is the second biggest value?  (a) s  (b) -4\/5  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 - 8*d + 7. Let p be v(7). Let l be 0\/(3 + p + -4). Suppose 0 = -5*o - l*o + 115. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 79*z**4 - 2*z**3 + 3*z**2 - 2*z + 3448 wrt z.\nAnswer: 948*z**2 - 12*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 156*b = -84*b - 74*b - 17, -8*i - 64 = -2*b for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 105 + -157 + (-137 - -73).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (5 - 7 - (-1 + -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/((-1)\/(-1))*1. Let i be 3 + v + 4\/2. Suppose 0 = i*a - 0*a + 43500000. What is a rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-3) + 14\/3. Suppose -3*i + 2*w = -3 + o, -2 = i + w. Let j = -2.26 - -2.24. Which is the closest to -0.1?  (a) j  (b) i  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -437 - -466. Solve 5*b + 4 - p = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5710906*k**2 - 4649147*k?\nAnswer: 11421812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3 - 7)\/(1 - 3). Let h be -1 - w\/((-6)\/(-261)). Let q = -54 - h. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 116383\/153 + -6989\/9. Is -17 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 minus 425691771?\nAnswer: -425691747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 93184760029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 110?  (a) -40  (b) -5\/6  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the first derivative of -41*j**6\/3 + 55*j**2\/2 + 68. Find the second derivative of m(i) wrt i.\nAnswer: -1640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 179*r - 609. Let b be n(4). Solve 21 = -114*t + b*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -2*w + 4. Let f be b(-3). Solve -2*x - 3*x = f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -42*j + 6*j**2 - 2\/7*j**3 + 98.\nAnswer: -2*(j - 7)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*y + 3*s = -30*y - 13, 10*y - 3*s = -2*s + 25 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 366.2164 millilitres?\nAnswer: 0.3662164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the first derivative of -5*k**2\/2 + 58*k + 28. What is the hundreds digit of o(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -555, -2262, -4759, -7752, -10947, -14050?\nAnswer: -16767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11305.36749 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 519, 512, 511, 528, 575, 664, 807, 1016?\n\"Answer: 2*r**3 - 9*r**2 + 6*r + 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + (24 - 9) + -11 + -21?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 - -3. Let s(o) = -4*o + 7. Calculate the remainder when s(q) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 58 - 222 = -4*f, 5 = -f. Let w = 114 + k. Is 20 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 512, 531, 564, 617, 696, 807, 956?\n\"Answer: r**3 + r**2 + 9*r + 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3611531 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-2) + 5 + 1 + 33\/(-8).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes before 6:13 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the first derivative of 18*h**5\/5 + 23*h**3\/3 - 12. What is the third derivative of d(z) wrt z?\nAnswer: 432*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l**3\/3 - 5*l**2\/2 + 3*l\/2 + 4\/3 = 0 for l.\nAnswer: -8, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5167\/6900 - -2\/1725. Suppose -5*h + 8 = -2. Which is the third smallest value?  (a) s  (b) h  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 709\/10 - (-3)\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -257, -492, -727, -962?\nAnswer: -1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70*t - 12449 + 21*t + 64*t - 39*t.\nAnswer: 116*t - 12449","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 5*a - 29. What is the second biggest value in a, -2, 8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/8 - 375\/(-100). Let w be (-4)\/(-16) + (-13)\/n + -1. Let j be 25\/(-20)*(-2)\/5. Which is the smallest value?  (a) w  (b) 13  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -120929076, -120929074, -120929072, -120929070, -120929068?\n\"Answer: 2*f - 120929078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2319276 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 18.8 + -0.014\nAnswer: 18.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -2713\/5 equal to -543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-649 - -659) + 9 + 49\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7*-1*(-108 - -45)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**5\/2 + 5*c**4\/2 - 3*c**3 - 16*c**2 + 16*c.\nAnswer: c*(c - 2)*(c - 1)*(c + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 16282, 16247, 16212, 16177, 16142?\n\"Answer: -35*d + 16317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 7, m: 1, b: 2, k: 3, c: 1}. What is prob of picking 1 b and 1 c?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 10\/59013 and -61\/28143.\nAnswer: 184533651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12 + -8. Which is the nearest to -0.2?  (a) r  (b) 1\/2  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 1081 = 128. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3, -118, -321, -606, -973, -1422?\nAnswer: -1953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 - -8. Let l(t) = t + 14. Let z be l(-14). Solve z = -d*o + 5*n + 8, 3*o - o = 2*n + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + -2*sqrt(98) - (sqrt(98) - (-5 + sqrt(98) + 0))) + (0 + sqrt(98)*1 + sqrt(98) + sqrt(98))*-1)**2.\nAnswer: 70*sqrt(2) + 2451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 977, 7859, 26539, 62915, 122885, 212347?\n\"Answer: 983*p**3 + p**2 - 2*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 114.04 times 2?\nAnswer: 228.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together 218876 and 0.5.\nAnswer: 218876.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 36*t. Let d(x) be the first derivative of x**2\/2 + 18. Let g(r) = c(r) - 2*d(r). Let b(u) = 520 - 520 - 2*u. Give g(b(n)).\nAnswer: -68*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -52316, -52301, -52286, -52271, -52256?\n\"Answer: 15*q - 52331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2610941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from elltl. What is prob of picking 2 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by -34217669.\nAnswer: -10\/34217669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**3\/9 - 640*f**2\/9 - 51200*f\/9.\nAnswer: -2*f*(f + 160)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -4*d + 1. Suppose -3*c - 14 = c - 3*r, -2*c = -3*r + 10. Let t(p) = 17*p - 4. Let k(f) = c*t(f) - 9*m(f). What is k(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 121183 - 31014. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(-1) + -11 + -12. Suppose b - 5*b = 268. Let x = r - b. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1132 + 1138. What is the remainder when 1565 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 23 by 1173.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 - 2. Let o = -3 + 14. Let w(y) = -y**2 + 4*y. Let j be w(4). Solve 2*l = -l + t + o, j = 2*l - t - u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, m: 2, k: 1, b: 2, a: 10, i: 3}. What is prob of picking 1 a and 1 m?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -10200220020112 (base 3) in base 13?\nAnswer: -53acb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -17180*u**3 - 8*u**2 - 36*u + 39. Is d(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17331 is divided by 162.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 92 + 117 = 0. Let t be (-13)\/(-66) - m\/10. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -213 = 2*x - 11*y - 223, 0 = 3*x + 3*y - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 2982, 2795, 2608, 2421, 2234?\n\"Answer: -187*l + 3169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = p - 6. Let j be (12\/(-2) + 2)\/(-1). Suppose -l - j*d = 2, -l + 43 = -3*d - 2*d. Calculate the highest common divisor of p and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 6, 3\/4, -7, 3, 0.115, 0.06, 2\/7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -4*t - 45, x = 2*x + 5*t + 20. Let j = -0.1813 + 0.0813. Put x, j, 13 in descending order.\nAnswer: 13, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o. Let r be s(-2). Let m = 2 + r. Let b = 2\/335 + -373\/6365. Are m and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s*s\/(s\/(s\/(s*s\/s**(-8\/11))))*s)*(s\/(s\/(s*s**5*s)*s)*s)\/s)**(-29) assuming s is positive.\nAnswer: s**(-1827\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m**4 + 4*m**4 - 3*m**4)*(-2 - 3 + 6)*(72 + 22 - 11) + 2*m - 4*m**4 - 2*m - 2.\nAnswer: 245*m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3664 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are 36426 and 7\/160 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -5*a**3 - 87*a**2 + 51*a. Let k be i(-18). Solve -8*n + k = 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6592695 < 6592694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 86*p**2 + 41*p. Let w(f) = -129*f**2 - 61*f. Let j(l) = -8*h(l) - 5*w(l). What is the second derivative of j(k) wrt k?\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 - 4*n**2 - n + 2. Let w be q(4). Let l = w - -25. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42)\/(-4)*(-41564)\/26403531?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3\/2)\/((-2)\/(-4)). Suppose g = -0 + r. Suppose 3*s = 2*p + 8, p - 6*s + 4 = -2*s. Sort p, 0, g in descending order.\nAnswer: g, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 521666 is divided by 28907?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 59987676 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 22\/24 + (-2)\/8. What is the fourth smallest value in d, 1\/8, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**3 + 4*o**2 + 8*o + 7. Let f be u(-2). Let c be (-12 + 11)*(f + 0 + -1). Solve 0*p = -c*p + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v = 2*v + 8. Calculate the highest common divisor of 5 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 861.0440616 to 0 dps.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - 11*g - 8 = -10*g, -24 = 14*a + 3*g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of -1 - 5*z - 3\/2*z**2. Differentiate r(a) with respect to a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9498 - -23000. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -188\/7*x**2 + 48\/7*x + 16\/7*x**4 + 0 - 20\/7*x**3 = 0. Calculate x.\nAnswer: -3, 0, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 9*u = -21. Suppose -w + 57 = -u. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + x - 10 = -4*t, -5*t = 3*x - 21. Let c be 2 - (3 - 1) - 0. Solve 5*w - 2*l + 33 = 0, w + t*l - 7 = -c*l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -0*d + 4. Let z be d\/(-6) - 22\/(-6). What is the common denominator of (-1)\/z + 41\/(-21) and -58\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:59 AM and 8:38 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ueeettteeexe. What is prob of sequence et?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -13eb0b (base 15) to base 16\nAnswer: -ea9da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from zvvvrlzvvvr?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3683?\nAnswer: 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 17*w - 5. Let o(x) = -18*x - 6. Let v(b) = 3*b + 2. Let h(g) = 3*o(g) + 12*v(g). What is -3*h(a) - 4*m(a)?\nAnswer: -14*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(((d*d**(4\/7)*d)\/d)\/d))\/d)**(-18) assuming d is positive.\nAnswer: d**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20, 838, 2756, 6236, 11740, 19730, 30668?\nAnswer: 45016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5815, 5819, 5825, 5833, 5843, 5855?\nAnswer: 5869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 105\/45532, 1\/3, -0.1 in descending order.\nAnswer: 1\/3, 105\/45532, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 10101100001101111000110 (base 2) to base 10\nAnswer: 5643206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, 204, 0.5.\nAnswer: 0, 0.5, 4, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -18c (base 14) to base 8.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 89821, 179844, 270067, 360490, 451113, 541936, 632959?\n\"Answer: 100*l**2 + 89723*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1462)\/(-102) + -9)\/((-8)\/(-12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 340262978 to the nearest integer?\nAnswer: 18446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -3*s**2. Suppose -r + 4 = -2. Let k(o) = 0 + 4*o - r*o + 0. Give x(k(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from {y: 4, b: 1, s: 9}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2900.509 + 2917.3. Let q = 16.7 - o. Round q to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnp when three letters picked without replacement from pzypnbpbnprbpppypp.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4624024, 9248000, 13871966, 18495916, 23119844, 27743744, 32367610?\nAnswer: 36991436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is seven fifteenths of a decade in months?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 26\/(-7) - (-18 - -14). Which is smaller: -2\/5 or v?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, n: 11}. Give prob of picking 2 n.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 9 - 6 - 3 + 4 + 2005*c**2 to g*c**2 + w*c + r and give g.\nAnswer: 2005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 76\/147249 and -151\/13746.\nAnswer: 674694918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/142 and -45\/568.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*l**2 + 532*l - 4*l**2 - 532*l to f + t*l + c*l**2 and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -160*q - 792. Give o(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, -40\/19, 30, -5.9?\nAnswer: -40\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the second derivative of -19*y**6\/10 - y**3\/6 + 123*y**2\/2 + 84*y - 1. Find the second derivative of h(n) wrt n.\nAnswer: -684*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - -9 - 0) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20232*u - 1 - 3 - 20332*u - 1.\nAnswer: -100*u - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -68b27 + -184?\nAnswer: -68cab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -60 (base 7) to base 6.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -3801, -7749, -11847, -16095, -20493?\n\"Answer: -75*d**2 - 3723*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 124417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k + 2. Let g be r(2). Suppose -w + 1 = g, 0 = c - 3*w + 2*w + 2. What is the closest to 1\/12 in -5, c, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4176 + 5*f**2 - 4176.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 33*k + 33. Let z(y) = y - 5*y - 8 - 4*y. Let l(t) = -5*p(t) - 21*z(t). Find the first derivative of l(g) wrt g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5913149 - 59179223\/10. Let b = t + 4784. What is the common denominator of b and -31\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 64 - 42 - (6 - (3 - 1 - 2)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 + 1 - (24 + -14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes before 2:57 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/3  (b) -3  (c) 0.06  (d) -1\/4  (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**0)\/q*q)**(5\/2)*(q\/q**(-1\/12))**(1\/4) assuming q is positive.\nAnswer: q**(133\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q + 20. Let j be v(9). Suppose -4*p + p = 3*g - 33, 0 = j*p - 5*g + 13. Find the third derivative of u**2 - 2*u**5 - p*u**5 - 2*u**5 + u**2 wrt u.\nAnswer: -600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*j + 76 = 2*y - 32*j, -2*y + 5*j + 77 = 0. What is the remainder when 139 is divided by y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 427099846 to the power of 1\/3, to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of -r**6\/30 + 7*r**5\/20 - 5*r**4\/4 + 13*r**3\/6 - 2*r**2 - 240*r. Factor o(h).\nAnswer: -(h - 4)*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 8409*i - 16813. What is f(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 + 25. Suppose g = f - 4*f. Which is the second smallest value?  (a) -1\/5  (b) f  (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 227997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2621705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g + 54 = 3*z, z + 407*g - 403*g + 33 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10765 is divided by 372?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*o - 21 + 1. Put 0.3, o, 6 in increasing order.\nAnswer: o, 0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1090 (base 13) to base 9.\nAnswer: -3151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -79 + 145 - (17 + -2) - (-13 + 14)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.4, 0.5, -1\/7, 95.5, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -531895 divided by -2.\nAnswer: 531895\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 54*f**4\/11 - 1920*f**3\/11 = 0.\nAnswer: 0, 320\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.13 - -0.53. Which is the second smallest value?  (a) 1  (b) -0.3  (c) n  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*c**5 - 1164*c**4 - 779*c**3 - 130*c**2.\nAnswer: c**2*(c - 130)*(3*c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 + 5*q**2 - 2*q + 6. Let z be (-6)\/4 + (-14042)\/(-68). Let d = 209 - z. Calculate x(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -6855, -6853, -6849, -6843, -6835?\n\"Answer: v**2 - v - 6855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 184*x**2 - 31*x - 350. What are the prime factors of i(-8)?\nAnswer: 2, 13, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1036191 and 0.2.\nAnswer: 0.02072382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -909, -960, -1043, -1158, -1305, -1484, -1695?\n\"Answer: -16*u**2 - 3*u - 890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 6, u: 5, b: 3, a: 3}. What is prob of sequence uaaa?\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 29477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -23504831, -47009662, -70514493, -94019324?\n\"Answer: -23504831*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*s + 2*w - 6, 4*w = s - 3*s + 22 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22007 is divided by 195?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 51398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 395 + -373. Suppose -9*y + 20 = -4*y. Suppose 2*h + y*s - 13 = s, 6 = -2*s. What is the highest common divisor of t and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*d - 10 = -127 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**3 + 18*r**2 + 7*r + 32. Let m be b(13). Suppose 0*h = -4*h + m. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:26 PM and 2:51 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 35174*d - 4. Let i be l(1). Let m = 51170 - i. Round m to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2 + 0)*(-30 + 30 + m)*(4*m - 3*m + 9*m).\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24493 is divided by 4881.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.14 in -9, -15, 0, 114?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 minus 1.6996?\nAnswer: -8.6996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -158.815 to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1578 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*x - 21*x + 4. Let p(r) = r**2 + r - 2. Determine p(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**3 - c**2 - c. Let u be (5 + -2)*(-1 + 4). Suppose 0 = q + 3*q + 5*t - 27, -2*t - u = -5*q. Suppose -q*j - 7 + 4 = 0. What is n(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 4, i: 4, p: 2, q: 1}. What is prob of sequence ii?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.19 - -0.31. Round h to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in -27, -119, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes before 8:08 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 7875?\nAnswer: 15750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**2 + 4*r - 5. Suppose -w - 2*p = 4, -16 = -p + 5*p. Let l be v(w). Let y = 15 + -8. Solve 0*i + 3*i - y = 4*u, -5*i = 3*u + l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 296 + -322. Let m = 2.9 - 3. Which is smaller: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + s = -9, 4*g - 9*g + 44 = -4*s. Suppose -138*w + 4408 + 1664 = 0. Calculate the smallest common multiple of g and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3021303022 + -31?\nAnswer: 3021302331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 52560 = -j, 35051 = 15*w - 13*w - 3*j. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (73520\/6 - 5) + -6 + 60\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 94567191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 + 5 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**2 - 12*j + 24. Suppose -186 = -3*s + k - 48, -4*s + 168 = 4*k. What is the remainder when s is divided by h(-12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 13599997 - (-1 - (-2)\/(-1)). Round p to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from rttererertqqqqbrqrrr?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 5, -112, 0.5, 1\/4 in decreasing order.\nAnswer: 5, 0.5, 1\/4, -1, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m - 650*r + 10 = -648*r, 4*m = -2*r + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*17\/(((-440)\/(-40))\/(-11))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 4731, 1, -4, 128 in decreasing order.\nAnswer: 4731, 128, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-14)\/(-5) + -2 + 0. Suppose -8 = -3*q + 7*q. Let b be (4\/7)\/(q\/(-7)). Is w not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + 2. Let x = -1 + v. Let q be (1 - -4)*x\/(-5). Solve 5*s - 12 = -q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes before 1:44 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/3257009 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -54955560 divided by -1772760?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 57 = -w, 5*a + w + w = 66. Calculate the lowest common multiple of 15 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/(k*k*k**(2\/7))))**(-3\/11))**(23\/4) assuming k is positive.\nAnswer: k**(-276\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 944 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 14*b + 622. Let k = 2 - -2. What is the least common multiple of k and c(-43)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 67 - (4 - (0 - -2)). Suppose -2*r = 3*z - 6*r - 90, 2*z = -4*r + 40. Calculate the highest common factor of s and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**2 - 8*q + 7. Let p be u(8). Let c(y) = 17*y. Is c(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:12 PM and 2:22 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 44*t - 145. Calculate p(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/u**(1\/3))\/u*u)\/(u**(-2\/7)*u*u))**(-23\/3)*u*u**(-2\/5)*u**(4\/9)*(u*u**1\/u)\/u**(-1\/4) assuming u is positive.\nAnswer: u**(4337\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 1477\nAnswer: 2\/1477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b - b**3 + b + (15*b - 8*b + 15*b)*(-b**2 + 0*b**2 - b**2).\nAnswer: -45*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1830573417?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 59?  (a) 5  (b) 0.0041  (c) 4  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6938722 - -69463297\/10. Let o = -7620 + k. Find the common denominator of o and -59\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 + 3*h. Let p(u) = 856*u**3 - 9*u. Determine p(l) + 3*z(l).\nAnswer: 859*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 19*y - 1. Let m be s(1). Suppose 2*w - m = -4*h, -2*w - 3*w - 5*h + 35 = 0. Let z be (-2780)\/(-417)*6\/10. Solve -i + 0*i - w = 3*k, i = z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4.9?  (a) 2.8  (b) 3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (148*b**4 - 133*b**4 + 101*b**4)*((1 - 1 + b)*(0 - 4 + 3) - b + 3*b - 3 + 4).\nAnswer: 116*b**5 + 116*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2*y**3 - 2*y**2 - 5*y + 4. Let n be q(-3). Suppose -2*u = u + 2*l - 110, -u + 3*l = -n. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -10*l**2 + 100*l - 5. Give m(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 - 7*f**2 - 3*f + 4. Suppose -2*u = -182 + 168. Calculate r(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -10*y + 7. Let j be d(-4). Suppose -f + j = 1. What are the prime factors of f?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17760 by -444.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 7489.9 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*q = -0*q - 276. Suppose 5*m + g - 19 = 0, -m - 2*g + 7*g - 17 = 0. Solve -4 = m*a + 4*r, -5*a + q = -r - 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34300520, 34300527, 34300540, 34300559, 34300584?\nAnswer: 34300615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 225*n - 22 + 22 - 121*n + 179*n.\nAnswer: 283*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (1 + (-4 - -8)) - 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 + 2ba?\nAnswer: 2b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -97\/1070 + -1\/107. Let j = 5.3 + -5. Which is the nearest to -1\/3?  (a) u  (b) -0.3  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 124, 691, 1702, 3151, 5032, 7339?\nAnswer: 10066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.13 - -0.87. Let a = 0.8 - 0.3. Let b = 17.8457 + -3.8457. What is the third biggest value in c, a, -0.1, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -61416, -5, -1\/4 in descending order.\nAnswer: -1\/4, -5, -61416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/5  (b) -1694  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*c + 3*q - 12 + 2, 1891*c + 3 = 1890*c + 2*q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*r + 12*r. What is the third smallest value in r, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g = -s + g + 3, -2*s - 3*g + 6 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 - ((27 - 6) + -35)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the third derivative of -t**8\/4200 + t**7\/3150 - 5*t**4\/24 + 9*t**2. Let k(d) be the second derivative of m(d). Factor k(b).\nAnswer: -4*b**2*(2*b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dp when two letters picked without replacement from idpipdipiiip.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -2*l. Suppose -2*f - 5*i = 0, 0*i - i = 0. Let j(k) be the third derivative of 0*k + k**2 + 0 + 1\/60*k**5 + f*k**3 + 0*k**4. Calculate j(y(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 396864 and 704?\nAnswer: 4365504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -10*s - 18. What is f(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 20 + -18. Suppose -5*s + 351 - 96 = i, -p*i - 40 = -s. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 15 = 3*g - 5, -25 = -5*g - 5*z. Solve -g*w + 7*w - 4 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 911944309 to the nearest integer?\nAnswer: 30198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98*f - 420 = 182*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmf when three letters picked without replacement from {f: 3, m: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*o**5 + 12306*o**4 + 49167*o**3 - 36912*o**2 - 122916*o + 98352 = 0. Calculate o.\nAnswer: -4098, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 572868100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tte. Give prob of picking 1 e and 1 t.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**3 - 269*o**2 - 8760*o + 4137. Calculate n(-231).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmfswwsmfrlmmws. What is prob of sequence ww?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 699110.\nAnswer: 2, 5, 69911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) -2  (c) 0.1  (d) 26  (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1740*j - 88*j**2 - 90*j**2 - 151380 + 173*j**2 = 0. Calculate j.\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6763731.\nAnswer: 3, 13, 173429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that o**5\/4 + 22644*o**4 + 633999*o**3\/4 + 362279*o**2 + 271707*o = 0.\nAnswer: -90569, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l + 20. Let f be b(17). Suppose 3*w + 9 = 4*t, 2*w = t - 0*t - 6. Solve t = -6*g + 3*g - f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6433586449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13817 - -442239\/32. Find the common denominator of -3\/112 and m.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 3\/11, -1, -1\/4, -0.2 in ascending order.\nAnswer: -6, -1, -1\/4, -0.2, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3525 + 3523. Let x(a) = 2*a**3 - 2*a**2 - 2*a - 1. Let j be x(-1). Is 236 - j - (-8)\/v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -318 + 348. Calculate the least common multiple of 36 and k.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 + -14. Sort q, 4, -11 in descending order.\nAnswer: 4, q, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4.0798 and -148.4051?\nAnswer: 152.4849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Is 940 <= 940?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/569, -6, -33.5.\nAnswer: -33.5, -6, 1\/569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 263 * 1\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1790996 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 16037183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is a2 (base 11) in base 14?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + 20 + -16 + 15 + 53.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -84826*f**2*r**4 + 7628*f**2*r + 2*r wrt r?\nAnswer: -1017912*f**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 - 7*m**2 + 5*m - 10. What is o(6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, -0.067, -6.77 in increasing order.\nAnswer: -6.77, -0.067, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2\/(-4))\/((-95)\/(-3553)). Let i = -851 + 1665\/2. Let y = i - r. Which is the closest to 0.1?  (a) 2  (b) y  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a milligram in micrograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5964, 11918, 17874, 23832, 29792, 35754?\nAnswer: 41718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -58*w + 370 - 138. Suppose 6*i = -w*i + 1810. Which is bigger: 544\/3 or i?\nAnswer: 544\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six sevenths of a week in hours?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 6283 divide 603654198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**(1\/2)\/a)**(-4\/3)\/(a\/a**(-1\/6)*(a*(a*a\/(a**(-2\/7)*a))\/a)\/a))**(-18\/5))**(18\/7) assuming a is positive.\nAnswer: a**(1782\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -60 - -60. Suppose m = -a + 93 + 114. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 10:23 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - 2*x**2 - 31*x + 4 - 106*x.\nAnswer: -2*x**2 - 137*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 178 + 46 = 8*x. Suppose 40*p - 6166800 = x*p. Round p to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 10*k**3 - 306*k**2 - 784*k - 264 = 0.\nAnswer: -2, -2\/5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20 + -20. Let o(t) be the first derivative of -t**2\/2 + 16*t + 1. Is 5 a factor of o(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*m - 10*m + 168. Calculate the remainder when 36 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.27 - 16.27. Let f = i + 29. Let l = f + -12.9988. Round l to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-101012*t**3 + 4*t - 13695*t**3 + t - 5*t)*(t - 2*t + 0*t) as o*t**4 + v + u*t**2 + a*t + m*t**3 and give o.\nAnswer: 114707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y = 5*i + 77 - 15, -2*y - 2*i + 64 - 28 = 0 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -10*v**4 - 272*v**3\/3 - 158*v**2 - 96*v - 56\/3 = 0. Calculate v.\nAnswer: -7, -1, -2\/3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - (4 + -1)) + 1827\/630*-10?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, -512, -81 in ascending order.\nAnswer: -512, -81, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 319224 divided by 12\nAnswer: 26602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5107 is divided by 42?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/((r**(2\/15)*r)\/r)))**(-13\/8) assuming r is positive.\nAnswer: r**(-13\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -560870000 to the nearest 1000000.\nAnswer: -561000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + sqrt(2448) + (sqrt(2448) + 1)**2 - ((0 + sqrt(17) - sqrt(17)) + 4).\nAnswer: 37*sqrt(17) + 2445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2984746731?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(143)*-2 + sqrt(143) + 2*sqrt(143)*2)\/(sqrt(1331)*1*1).\nAnswer: 3*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.066 and 0.4.\nAnswer: -0.0264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 207 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -771.5 + 771.46907. Let a = 0.032 + q. What is a rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.2  (b) -0.06  (c) -2  (d) -19.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-32*h**2 + 98*h**2 + 2168*h**4 - 38*h**2 - 28*h**2)*(-h + h + h).\nAnswer: 2168*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2129472406 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7 and -0.96457?\nAnswer: 6.75199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17296 and 9506314.\nAnswer: 2162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 25\/6 - 95\/12. Is a less than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74108?\nAnswer: 2, 97, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 252\/210*(-10)\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 4 - 1 - 22*z**4 + 24*z**4 - z**2 + 2*z**3 to the form t + f*z**4 + p*z**3 + m*z**2 + r*z and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2313 divided by -5\nAnswer: -2313\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-58260)\/(-169925))\/((-128)\/70 - 4\/(-10))?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2 + 792*p - 654998. Determine o(505).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -99\/4 and 47\/45643.\nAnswer: 182572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -20, -121 in descending order.\nAnswer: 12, -20, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -8*x. Let i(c) = 27852 + 397*c - 27852. Give r(i(g)).\nAnswer: -3176*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (20294 - 38143 + 24426)*(6*c - 5*c + 7*c) in the form z + k*c and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the second derivative of x**4\/12 + 7*x**3\/6 + 7*x**2\/2 + 7*x. Let c be q(-6). Solve 0 = -u + 4 + c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.103 + -9.697. Let z = 2.8 + a. Let t = 6.7 + z. Is -5 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(143) - 3*-4*sqrt(143)))\/(-3*sqrt(176)*-2))**2.\nAnswer: 54925\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 46 and 28955482?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 2*n - 6. Let m be s(5). Suppose 12*d + 25 = 7*d. Put d, 5, m in ascending order.\nAnswer: d, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, -17, 1, -3, 1409 in decreasing order.\nAnswer: 1409, 1, -3, -17, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes after 10:46 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 17*x**2 - 5686*x - 18. Let d(p) = 10*p. Determine d(a(i)).\nAnswer: 170*i**2 - 56860*i - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -2414, -1641, 5492, 22165, 51558?\n\"Answer: 530*t**3 - 2937*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + cb482?\nAnswer: cb486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/14)\/(79*(-196)\/46452*6\/(-22)).\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = 60*j + 277. Let a(c) = -51*c**3 - 9*c**2 - 9*c - 9. Let f(k) = 26*k**3 + 5*k**2 + 5*k + 5. Calculate j*a(s) - 9*f(s).\nAnswer: 21*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3557716 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*j - 34013 + 36821. Calculate the greatest common divisor of j and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11264760 and 522.\nAnswer: 11264760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 + -1 + 5\/(-1) + -5. Let s be (-5)\/((2 + -1)*11\/g). Solve -r - 4*m - 9 = 7, -s*m = 3*r + 27 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**0)**(1\/4)\/((((c\/(c*c*c**(-3)*c*c))\/c)\/c*c)\/c**(-1\/3)))**(-2\/81) assuming c is positive.\nAnswer: c**(-4\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1024723 times 4?\nAnswer: 4098892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7369 divided by 6.\nAnswer: -7369\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1022, -787, -382, 193, 938?\nAnswer: 1853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -2\/1850779 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 123389879?\nAnswer: 123389879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 261 - 96. Is 11 a factor of f\/6*4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of -x**8\/784 + x**7\/70 - 3*x**6\/56 + 9*x**5\/140 + 136*x**2. What is j in s(j) = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -2, 3, -604244, -1\/5 in descending order.\nAnswer: 3, 2\/7, -1\/5, -2, -604244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 3, z: 2, h: 5}. What is prob of sequence hhhq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f**(-1)*f))**(-25)\/(f**(-2)*f*f)**(1\/12))\/((f*f**(2\/5))**15*f**(-4\/7)*((f\/(f*f\/(f*f**(4\/9)*f)*f))\/f)\/f) assuming f is positive.\nAnswer: f**(-2764\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 287*s**2 - s - 97 wrt s.\nAnswer: 574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 3 c when four letters picked without replacement from cctccctc?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (-3 - -3) + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*v + 3*v + 496 = -43*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 406398 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 11*t**2 + 15. Let m = 4 - 2. Let x(f) = f**2 - 3*f**2 + 8 + 5*f**2 + 2*f**2. Let q(a) = m*s(a) - 5*x(a). Find the first derivative of q(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/((-12)\/(-21)*(-4)\/(-208)*-14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -41 + 45. What is the second biggest value in 2, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/41 < 3\/5211781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -151789, 0, 4, -4 in descending order.\nAnswer: 4, 0, -4, -151789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 5, -1, -3 in ascending order.\nAnswer: -3, -1, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1.5  (b) 5  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 + 15\/84 + 12\/48. Put x, 8, 0.7, 4 in increasing order.\nAnswer: x, 0.7, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 5*k**2 - 1. Let s be o(-1). Suppose -3*i = 2*i + 2*z + 8, -s*z - 16 = -2*i. Let x be (-2 - -6)*6 - i. What is the greatest common divisor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 998 from 3.\nAnswer: -995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 AM and 9:22 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.7835 and -24.174 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from seeqqpeqzqqsr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-80)\/15*((-127995)\/16744 - 3\/13)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 304 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the second derivative of 115*y**4\/12 + y**3\/2 - 449*y**2\/2 + y + 221. What is the derivative of v(l) wrt l?\nAnswer: 230*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.044, 9, -22?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -231 - 324 = -5*c. Let a = c + -57. Let y be 4*(165\/a)\/(-11). Is y less than or equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d + 2*d = 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3090704 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 13541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*((x\/x**(6\/11))\/x)\/x*x\/(x\/(x\/(x**(4\/3)\/x))))**(-29)\/(x**(1\/7)*x**1)**(-1\/30) assuming x is positive.\nAnswer: x**(-4016\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -16*y + 8. Let u be g(1). Let f(v) = v + 5. Let z be f(-4). What is the units digit of z\/4*-2*u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 61\/2 - 185\/6. Which is the biggest value?  (a) v  (b) -2\/13  (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(85) + sqrt(85))*-5)\/(-2*sqrt(55)\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 - 3. Let f(c) = -2*c - 5. Let t be f(d). Is (t - 2)*(-2 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 465892\/9508*(3\/(-6))\/(1\/2).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the second derivative of 2 + 5\/36*i**4 - 5\/9*i**3 - 5\/2*i**2 - 2*i. Factor r(o).\nAnswer: 5*(o - 3)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 537 divide 4920432729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 10*c + 1. Let a(u) = -9*u + 2. Calculate -3*a(t) - 2*j(t).\nAnswer: 7*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:47 AM and 12:02 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 5 + 3 - 9 + 0 + 120*o**3.\nAnswer: 120*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the third derivative of -t**6\/60 + 2063*t**5\/10 - 4255969*t**4\/4 + 8780064047*t**3\/3 + 2*t**2 + 2134*t. Solve x(f) = 0 for f.\nAnswer: 2063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 + 6\/((-96)\/(-808)). Which is smaller: 50 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 14 - 5*l + 17*l - 4*l - 3*l. What is the units digit of h(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9874 + -9879.753. Round a to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -2*s**2 + 43*s - 9. Let x be a(18). Let f be 1450800018\/x + 2\/(-13). What is f rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 67949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2\/9 - 28*c\/9 + 10\/3.\nAnswer: -2*(c - 1)*(c + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2542 = 89*v + 361 - 2625 for v.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -762, -20, 6, -4, -3, 0 in decreasing order.\nAnswer: 6, 0, -3, -4, -20, -762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -0.8, 0.4, -1, -2\/15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 20, -2*d + 67 + 81 = -3*h. Let p be (-4)\/(-8) - 2\/4. Suppose p*m = 5*m - d. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/10*186310\/12. Let r = k + 3120. Find the common denominator of r and -10\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1555 - -0.5?\nAnswer: -1554.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 200.62 + -204.62. What is the closest to -3 in r, 6, -3\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 269338483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1499024?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3164 = -4*s + 4*i, 0 = 5*s - 3*i - 0*i - 3963. Suppose -s = -12*m + 9*m. Let q = -180 + m. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4b6 + -375c?\nAnswer: -3276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k**3 + 6*k**2 - 19. What is q(5)?\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of 5*t**2 - 2*t + 1. Let r be j(3). Let s = 39 + -25. What is the greatest common divisor of s and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/28*-1*(-24)\/(-6)*6?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (9 - 3 - 3) - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes after 12:54 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 5, j: 1, e: 2, s: 1}. What is prob of sequence eje?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - w + 454 = 2*x, 216 = x - 5*w. Suppose -7*t - x + 4237 = 0. List the prime factors of t.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11\/(-121)*-11*-5*13\/((-130)\/(-92))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 2*r = -14. Solve 4*w = 5*m, 3*w = 3*m - m + r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -1 + 108*r + 119*r + 109*r + 173*r - 502*r. Let k = 7 + -12. Let n(l) = 6*l - 1. Calculate k*d(x) + 6*n(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -57*s + 184. Let n be j(3). Solve 7*f - n*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 + (308 - (4 - 1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:36 AM and 10:08 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -365, -528, 432.\nAnswer: -528, -365, 432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 98\/12*(-196884)\/76566?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -4*x + 2. Let g be o(-1). Suppose -301 = -g*s - 811. Let r = s - -167. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16 + 17*p - 19*p - p**2 - 10 - 13*p**2 to u*p**2 + k*p + h and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -4*h + 35*h**3 - 76 + 78 - 7*h**3 - 16*h**2. Let a(m) = m**3 + 2*m**2 - 2*m + 1. Let w(c) = 4*a(c) - 2*n(c). Find the third derivative of w(q) wrt q.\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((sqrt(245) - (sqrt(245) + -2 + sqrt(245))) + 4 + 4 + -5))**2.\nAnswer: -630*sqrt(5) + 2430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 108020763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 16*o**5 - 11*o**5 - 8*o**5 - 4*o**5 + 0*o**5 + 2*o**5 - 3 + 2*o**5 + 3 + (0*o**3 + 2*o**3 - 3*o**3)*(2 - 2 - o**2) + 3*o**5 - o**5 - o**5.\nAnswer: -o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 8544049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: -1586 (base 14) to base 3\nAnswer: -12021022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 7910, 4, -6, -23, -3, 2 in increasing order.\nAnswer: -23, -6, -3, 2, 4, 7910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 12 + (-6 - -12) + -14 + (-15 - -27)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24 (base 11) to base 2.\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from {p: 4, k: 2, t: 7, e: 5, l: 2}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9862 is divided by 189?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -107.758 - -107.758. Let j = -0.1 + -0.7. Which is the smallest value?  (a) k  (b) 0.2  (c) j  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 - -1. Which is the nearest to 1\/2?  (a) -0.4  (b) r  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*4*sqrt(3240)*1)\/(-1*(sqrt(16) + sqrt(16)*1*-3)\/sqrt(2)))**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 9*y**4 + 88*y**3 + 17*y**2 - 260*y - 180. Let x(f) = 7*f**4 - f**3 + f**2. Let a(h) = w(h) - 2*x(h). Determine s so that a(s) = 0.\nAnswer: -1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12584216.\nAnswer: 2, 17, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 428066 is divided by 4108?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes before 2:15 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 385673 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 55220 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2730, 21918, 73942, 175194, 342066, 590950?\nAnswer: 938238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/((1*-2)\/(-4)). Let d(h) = 2*h**2 - 6 + 8*h**3 + 4*h + h**2 - 9*h**3. Calculate d(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -a + 5*n - 9, 2*a + 5*n + 6 = 0. What is the lowest common multiple of -3 + (a - -1) + 11 and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 210 + -137. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 4*i - 3 = -5*w, 5*w = 3*i + 6. What is the second derivative of 5*p**2 - 7 + 14*p**2 - 10*p + 2*p**i + 7*p wrt p?\nAnswer: 12*p + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -78*(-1)\/(-14) - -6. Sort -2\/11, 69, t in increasing order.\nAnswer: -2\/11, t, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 214 and 239326?\nAnswer: 25607882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(-3) - 4\/(-6). Let t be ((-4)\/6)\/(80\/(-30)). Let m = 0.9 + 3.1. Which is the second biggest value?  (a) d  (b) m  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3830, -3815, -3804, -3797, -3794?\n\"Answer: -2*o**2 + 21*o - 3849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -27, 1, -5, 8, -73, -2 in decreasing order.\nAnswer: 8, 2, 1, -2, -5, -27, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than 67340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the third derivative of h**6\/15 + h**5\/60 + 3*h**4\/8 + h**3\/2 + h**2. Let g(p) = -2*p**3 - 2*p - 1. Give 9*g(d) + 2*j(d).\nAnswer: -2*d**3 + 2*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 125 is divided by ((-1034)\/(-235))\/(-1 + (-34)\/(-30))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/((k*k*k\/k**(-32))\/k)))\/(k*k**18)*k**(-29)*k**4 assuming k is positive.\nAnswer: k**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.32 and -8016.53.\nAnswer: -2565.2896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ibbbibibbibbiiibiiib. What is prob of picking 2 b?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1972902299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -8*r - 13. Does 12 divide n(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + (-6)\/4)*3\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 8:43 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 4*h + 3*r, r + 9885 = 3*h + 9869 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -352.32 * 87\nAnswer: -30651.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 0*f = -2. Suppose -f*a + 2 = -3*q, q - 3 = 6*q - 3*a. Suppose 2*c - 4*j = -6, q = -5*c - 3*j - 7 + 18. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 6*a**3 - 3*a**2 + 4*a + 3. Let f(u) = 1457*u**3 + u + 4*u**2 - u**2 - 4*u - 1462*u**3 - 3. Calculate 4*f(w) + 3*h(w).\nAnswer: -2*w**3 + 3*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (3 - (-5 + 9)) - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -2*w**2. Let h(k) = -45*k**2. Let z(l) = -11*l**2. Let d(v) = 6*h(v) - 25*z(v). Determine c(d(u)).\nAnswer: -50*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 4*p = 3, -50*p = 3*u - 45*p + 5. Let g(m) = -98*m - 481. Determine g(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 79605\nAnswer: 2\/79605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 364\/748 + 22\/374.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 2 a when four letters picked without replacement from {h: 1, i: 1, o: 4, a: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3311 and 105334950.\nAnswer: 1158684450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 720, 1458, 2214, 2994, 3804, 4650, 5538, 6474?\nAnswer: 7464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 254 - 2?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 104*a + 3. Let p be b(1). Let c = p - 102. What is the third derivative of 2*f**6 + c*f**6 - 18*f**6 - 2*f**6 + 18*f**2 wrt f?\nAnswer: -1560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 29 = 4*x, -3*x + 2*o = -3 - 23. Let s = x - 6. Calculate the smallest common multiple of s and -1*2 + 3 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*f = 442 - 492. Suppose 0 = 4*d + f*n + 19, 6*d = 3*d - 5*n - 13. Which is bigger: d or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73231681 to the power of 1\/3, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Solve 204*q + 40 = 196*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -64 + 28. Put x, 4\/5, 2\/5 in decreasing order.\nAnswer: 4\/5, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -659, -1751, -3287, -5267, -7691?\nAnswer: -10559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2823 is divided by 521.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the first derivative of -33*l**5\/5 - 2*l**3\/3 - 660*l - 407. What is the derivative of r(f) wrt f?\nAnswer: -132*f**3 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1858, 1859, 1860, 1861, 1862?\n\"Answer: s + 1857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 56*f**2\/3 + 148*f\/3 + 24.\nAnswer: 4*(f + 2)*(14*f + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - 1541242?\nAnswer: -1541242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 252328, 504654, 756980?\nAnswer: 1009306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.0794 - 704.8206. Let s = 704 + h. Which is the second smallest value?  (a) s  (b) -3\/5  (c) 0.1  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -886593 less than -6301858?\nAnswer: -5415265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 3*k**3 + k**2 + 2*k - 2. Let c be y(1). What is the third derivative of -c*b**3 - 7*b**2 + 66*b - 66*b wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -187610 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 660 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5737170?\nAnswer: 2, 3, 5, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the second derivative of 10*b + 1 + 0*b**2 + 1\/4*b**4 + 0*b**3. Let x(o) = -9*o**2. Calculate x(r(y)).\nAnswer: -81*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3672 - 2201. List the prime factors of m.\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*o**2 - 175 - 177 + 354)*(-1 + 0 + 0).\nAnswer: -18*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iiip when four letters picked without replacement from ipmiiimiimm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3722401783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the third derivative of o**5\/72 + o**4\/36 - o**3\/36 + o**2. Factor i(z).\nAnswer: (z + 1)*(5*z - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.01 + -2.01. Let o = 68 + -65.05. Let l = o + 0.05. Which is the second biggest value?  (a) l  (b) -3\/4  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 17*j**3 - 7*j**2 - 7?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g**4 + 9186*g**3 + 314058*g**2 + 2674406*g = 0 for g.\nAnswer: -17, 0, 4627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 65 - 10 = 0. Calculate the remainder when 2*x\/9*-18 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1*12*(-6)\/(-4). Let d = j + -13. Calculate the smallest common multiple of 3 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 13509902?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 21 + -19. Let g(t) = 58*t - 2*t**h - 58*t. Let s(b) = -22*b**2 - 6*b. Let c(y) = 43*y**2 + 11*y. Let o(r) = 6*c(r) + 11*s(r). Give g(o(w)).\nAnswer: -512*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1425 is divided by 181?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r + 4*t - 46, -4*t - 1 = -3*r + 1. Suppose -4 - 6 = -5*n. Suppose -3*v = 5*d + n, -d + 4*v - r = -1. Put 0, d, 4 in increasing order.\nAnswer: d, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 127 times 39.7\nAnswer: 5041.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2738 - 1101. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*b + 66 - 34*b + 61 - 43 with respect to b.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14 (base 7) to base 5.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6999082 is divided by 207.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 121 + 11*d - 292 + 169 + 37*d**2 to the form b*d**2 + m + c*d and give b.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 6) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add -2792 and 33659.\nAnswer: 30867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*c**3 - 4 + 4)*(-2*c - 3*c + 3*c)*(2*c - 5*c + 11*c).\nAnswer: -80*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4 - 12\/3)\/(-1). Suppose 3*m - 320 = -2*k + 781, y = -2*k - 4*m + 1102. What is the tens digit of (-4)\/(-10) - k\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 532565 times 0.1\nAnswer: 53256.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**3 + 3*u**2 + 39*u + 37. Let o be n(-1). Which is smaller: 196\/61 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -751 + 1559. What are the prime factors of u?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.14 - -0.08. Let d = -2 + 2.1. Let i = d + l. What is i rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 351027120+-1.242\nAnswer: 351027118.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:43 AM and 9:53 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 36774326 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -62*c + 678. Let m be y(11). Let b(d) = -2*d + 1. Let n be b(1). Put m, -1\/7, n in decreasing order.\nAnswer: -1\/7, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 1 = 56. Let w(g) = g + 1. Let y(z) = -3*z - 3. Let u(h) = 5*w(h) + y(h). Let i(j) = 10*j + 11. Determine v*u(p) + 2*i(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are 1800 and 1801 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 2 z when four letters picked without replacement from {o: 4, v: 2, z: 10}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*s**4 + 840*s**3 - 35260*s**2 - 3360*s + 141120.\nAnswer: -5*(s - 84)**2*(s - 2)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 5*g = -33, 6*t - g = 4*t + 15. Suppose 5*f + 1451485 = t*w - 11*w, 0 = 2*w - 3*f + 580609. Round w to the nearest ten thousand.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:59 AM and 1:14 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 80 and 78520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3684, -3688, -3694, -3702, -3712, -3724?\nAnswer: -3738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*s + 73 + 1145 = 0. Suppose -11*g = -s*g + 2263. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in -26\/15, -0.04, -0.5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**3 - 6*t**2 + 8. Let w be k(-6). Let x = w - 5. Calculate the remainder when x is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the first derivative of 5*l**2\/2 + 3. Let f(q) be the first derivative of 3*q**2 - 6967. What is c(f(v))?\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 575.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 18, n: 2}. Give prob of sequence vnv.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 - ((-22)\/4 - -2). What is the smallest value in v, 5, 1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 4*j**3 - 25*j**2 + 4. Let r(v) = -3 + 4760*v**2 + 6*v**3 - 4777*v**2 + 6 - 3*v**3. Let o(l) = -5*i(l) + 7*r(l). Let w = -18 + 12. Determine o(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 192 = 5*u - 3*t - 99, -5*u + 277 = 4*t. What is the greatest common factor of 2907 and u?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36.68699 times -0.5\nAnswer: -18.343495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 63\/(-21)*(-1)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3104 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6 + -1 - 84\/20. Let k be ((1 - -2)\/(-7 + 6))\/(-1). Sort k, -0.3, 3\/5, f.\nAnswer: -0.3, 3\/5, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + 4 + 10*d**5 + (-d**3 - 2*d**3 + d**3)*(4*d**2 - 3*d**2 + d**2).\nAnswer: 6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*g + 7 - 30*g + 4*g.\nAnswer: -22*g + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1709, 1701, 1693, 1685?\nAnswer: 1677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 976\/91 - 74\/7. Let f = -1 + -1. What is the biggest value in l, -0.1, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 3*u + 8482 = -12*u + 8579, 2*t - 2*u = -26 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.29 - -200.403\nAnswer: 200.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 43*a**2 + 1. What is the lowest common multiple of z(-3) and 1?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/99?  (a) 0.2  (b) -5\/2  (c) -2\/11  (d) 4  (e) 8  (f) 209\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 4*a + 6 = 34, -a = 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 6427*q - 33. Let f be x(7). Let v be 16\/4 + f\/(-16). Let s = -2789 - v. What is the common denominator of -51\/16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25545, 24432, 23313, 22188, 21057, 19920?\nAnswer: 18777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000005862315018 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.12  (b) 0.5  (c) -13465\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4494 and 90531.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than 4\/289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 844732652?\nAnswer: 2, 17, 12422539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 11272656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 - -1 - (-6760000)\/1. Suppose -10140000 = 5*p - 2*p + 3*k, 2*p + 3*k + y = 0. What is p rounded to the nearest 100000?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the third derivative of s**7\/735 - s**6\/210 - s**5\/70 + s**4\/21 + 4*s**3\/21 + s**2 - 6*s. Factor z(g).\nAnswer: 2*(g - 2)**2*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-42)\/210 + 22\/(-15))\/(2\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/(-1))\/10*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of (-4)\/18 - (-289768)\/261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 275221, 278456, 281691, 284926, 288161, 291396?\n\"Answer: 3235*z + 271986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 + w - 7. Let r = 11 + 2. Suppose -u - 2 = -r. Let l = u - 11. What is d(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 423 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, 1390, -42\/5 in decreasing order.\nAnswer: 1390, 2\/5, -42\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11.65 + -0.15. Let y = f - 11. Which is the third biggest value?  (a) -1\/11  (b) y  (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 847048107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5569, 11092, 16621, 22156, 27697?\nAnswer: 33244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 964 by 9595.\nAnswer: 964\/9595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -943, -2, -4, 10 in increasing order.\nAnswer: -943, -4, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n - 4*w + 53 + 7, 3*w = n + 7. Suppose -13*h = -n*h - 1730. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 - r**2 - 5*r + 4. Determine w(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 25307084 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*t - 4*t - 16*t + 36*t - 6*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (66 - t - 8*t + 5*t)*(0*t + 3*t + 0*t).\nAnswer: -12*t**2 + 198*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 282329 is divided by 21710.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:43 AM and 8:15 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 57.4968 micrometers to millimeters.\nAnswer: 0.0574968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/((-8)\/30*(-69)\/299))\/(10\/4).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -876*d**2 - 345*d**2 + 162*d**2 - 79*d**2 to b*d + q + f*d**2 and give f.\nAnswer: -1138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(0 + ((-2*sqrt(66)*-5)\/(-2*sqrt(726) - sqrt(726)))**2).\nAnswer: 200\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -473 - -4329. Does 55 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 120200021220210 (base 3) to base 11\nAnswer: 4780796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 18 = 4 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*t + 4*v - 2, 0 = 5*v + 23 - 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppo when three letters picked without replacement from {x: 3, y: 1, o: 1, p: 2, j: 3}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*k**3 + 0*k**3 - 3*k**3 + (0*k + 3*k - 2*k)*(k**2 + 3*k**2 - 2*k**2) + 3*k**3 + 0*k**3 + k**3 + 5*k**3 + 8*k**3 - 6*k**3.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 537  (b) -42  (c) 6  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + ((sqrt(684) + 1)*-4)**2)*-5.\nAnswer: -54810 - 960*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwk when three letters picked without replacement from kkkwwk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3612?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*w + 63*w - 61 = 33*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31 = 3*k - 4*r + 26, -k - 20 = 3*r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*l + 45*l + 187 + 290 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1.2  (b) 4  (c) 111  (d) -3  (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 3*f**3 + 100*f**2 + 392*f + 553. Calculate y(-29).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 483.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.536 + -0.036. What is the second smallest value in 6\/7, z, -2\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -173445 or -174309?\nAnswer: -173445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the first derivative of -2*n**2 - 381*n - 56. What is the first derivative of h(v) wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6.1 + 6. Suppose -2*g + 14 = -0*g + 2*d, 0 = -5*g - 4*d + 37. Let a be 1\/(-2)*(-6)\/g. What is the third smallest value in r, a, -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17 and 729929?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 - 13*w**2 - 3689*w + 54874. Give m(15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2676564 divided by -49566.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -2*f**2 + f - 1. Let u(x) = -255*x**2 + 25*x - 25. Calculate 25*d(c) - u(c).\nAnswer: 205*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 160684 to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -19.121 and -0.0517?\nAnswer: 0.9885557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2 - 4)*(-3 + 4). Let b = -19 + a. Calculate the common denominator of 39\/2 and 998\/(-180) + 10\/b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes before 3:20 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 95*r**6 + 7*r**2 + 22*r**6 + 33*r**2 - 15*r**6 wrt r?\nAnswer: 12240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of -28*r + 0 + 1\/20*r**5 - 1\/2*r**4 + 3*r**2 - 1\/2*r**3. What is the units digit of c(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a year in months?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 5*t - 22 = -3, -39 = -b + t. Let u(z) = z**3 - 7*z**2 - 9*z - 2. Let a be u(8). What is the units digit of (b\/a)\/((-18)\/45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -47 + 49. Suppose -3*x + 9 = w - 4*w, w - f = 0. Suppose x*p - 10 - 10 = 0. Calculate the least common multiple of p and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-5\/3)\/t)\/t)\/(t\/(t**(-2\/9)*t)))\/(t**(-2\/5))**17 assuming t is positive.\nAnswer: t**(131\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.032 - -1.888. What is d rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(528) + sqrt(528)*2) + sqrt(528))\/(sqrt(33)\/((sqrt(44)\/sqrt(4) - sqrt(11)) + sqrt(11)) - sqrt(75)*-2).\nAnswer: 40*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together 65799310261 and 5.\nAnswer: 65799310266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1824*l = -3*j + 1825*l - 4, -5*j = 2*l + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 447332 - 10?\nAnswer: 447322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 13, -4, 3976 in increasing order.\nAnswer: -4, -0.4, 13, 3976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0009335 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(128) + sqrt(128) + (sqrt(128) - (sqrt(128) + 2 + 1)) + 4 + -5)**2.\nAnswer: -128*sqrt(2) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23687 is divided by 149.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/3)\/(((-28)\/18)\/7). Suppose 15 = -5*m, -1 = -4*a - 4*m + s. Solve -4*z = -a*g + 12, 0 = 7*z - 3*z - 3*g + 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 39339361?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 424, -26574, 2 in decreasing order.\nAnswer: 424, 2, -2, -26574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 399 and 27724515?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -3\/4, -0.5, -0.4, -158 in ascending order.\nAnswer: -158, -3\/4, -0.5, -0.4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14 and 104678?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/24)\/(-3*(-3)\/243)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:34 AM and 5:16 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -99826*h**5 + 134222*h**2 wrt h.\nAnswer: -5989560*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-126)\/396 + (-1)\/(-2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 148 = 4*o, 5*j - 2*o = j + 144. Suppose -2*i = j - 183. Is (-2)\/(-3) - i\/(-6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*n - 10*n + 362 = -375 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the second derivative of 307*a**7\/42 + a**6\/5 + a**4\/6 - 77*a**3\/2 + a**2\/2 + 10613*a. Find the second derivative of w(m) wrt m.\nAnswer: 6140*m**3 + 72*m**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) -4  (c) -74980\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -44 + 48. Suppose 0*h = 4*h - 8. Suppose 4*g - 702 + 254 = -v*m, h*g - 4*m = 218. Is g a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 8*y - 14. Let u(t) = -t**3 - 20*t**2 - 2*t - 28. Let a be u(-20). What is the smallest common multiple of q(4) and (a\/(-8)*4)\/((-2)\/4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the third derivative of 9*o**2 - 1\/4*o**4 + 0*o**3 + 0 + 0*o. Let p(c) = -5*c**2. Determine p(w(v)).\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of ((-3)\/(-4))\/((-8)\/192*-3) and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 - 25851030.\nAnswer: -25851048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82898 is divided by 159?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) -0.0151  (c) 1\/6  (d) -5  (e) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*d + 3*d - 2*d**2)*(-105 + 105 - 27*d) - 6*d**3 - 4*d**3 + 5*d**3 to the form l*d**2 + o + v*d + y*d**3 and give y.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/41742 and 11\/292194.\nAnswer: 292194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.18709 and 3.238.\nAnswer: -0.60579742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 776*o = 774*o - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 281 - 278. Solve -4*c - g*n + 27 = 0, 4*c - 7 = -10*n + 11*n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 67 or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 + 712?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z**4 + 16*z**3 - 86*z**2 + 116*z - 48 = 0. What is z?\nAnswer: -12, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -8754610.1 rounded to the nearest ten thousand?\nAnswer: -8750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the first derivative of d**6\/3 - 267*d**4 + 103*d**2\/2 + d + 704. What is the second derivative of v(q) wrt q?\nAnswer: 40*q**3 - 6408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1716)\/(-104))\/(24\/(-48))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**3 + 12*g**2 - 23*g - 40. List the prime factors of z(-11).\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:59 PM and 7:22 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -5*r - r. Suppose 4*q + r*q - 80 = 0. Solve -q = -2*l - 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -67*682\nAnswer: -45694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5159 - -1091. Suppose 670 = -6*i + h. List the prime factors of i.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -2*o - 7. Let n be y(-5). Let k(j) be the first derivative of 0*j + 2\/3*j**n + 1 + 0*j**2. Let c(f) = -2*f. Determine c(k(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 8414*h**2 + 1.\nAnswer: 8414*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -587837*v**3 - 3*v**2 - 18869 wrt v.\nAnswer: -3527022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((2*sqrt(18))**2 + (sqrt(2) - (sqrt(72) + -1)**2)).\nAnswer: -6 + 78*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 330 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -45115 - -240?\nAnswer: -44765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnonnnnnoo. Give prob of picking 2 o and 2 n.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 532320 and 134112.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*u = p + 59, -4 + 1 = -u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 87\/194618 and -95\/2236.\nAnswer: 5060068","meta":{"dup_signals":{},"source":"numbers__lcm_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: Evaluate 156\/(-104) + (-1998)\/(-1260).\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2692 is divided by 823.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 23668056.9ms in days?\nAnswer: 0.27393584375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 14 + 780a9?\nAnswer: 78112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/54 and 1\/2*63\/(-30).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 396 and 13370652.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -y**3 + 449*y - 449*y - y**2 - 14*y**2.\nAnswer: -y**3 - 15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1090356 is divided by 3506.\nAnswer: 3496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 5*v. Let r(i) = -1758*i**2. Determine r(w(j)).\nAnswer: -43950*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/(t**(-1\/2)\/t)))**(5\/9) assuming t is positive.\nAnswer: t**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 668, 1797, 3386, 5435?\n\"Answer: 230*p**2 + 439*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 63.30928 meters in nanometers?\nAnswer: 63309280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 72, 100, 128?\n\"Answer: 28*d + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 76631978 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.7 + 1.2. Which is the third biggest value?  (a) m  (b) -4  (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(475) + 3 - sqrt(19)) + -4.\nAnswer: -1 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p - 4. Let g be l(-6). Let s = -2\/13779 + 17857606\/151569. Let f = -118 + s. Which is the second smallest value?  (a) g  (b) f  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/b**(-20))\/(b\/(b*b\/(b\/(b\/((b*((((b**14\/b*b)\/b)\/b*b)\/b)\/b*b)\/b))))*b*b))**(6\/13))**(-21) assuming b is positive.\nAnswer: b**(-1008\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11001001011011011 (base 2) to base 13.\nAnswer: -37c32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3278 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: Three letters picked without replacement from yrr. Give prob of sequence rry.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -703?\nAnswer: 5\/703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 60*o*u**3 + 583*o*u**2 + 7*o*u - u**3 - 5*u**2 + 324721*u wrt u.\nAnswer: 360*o*u + 1166*o - 6*u - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:23 AM and 8:54 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23172, -23085, -22998, -22911, -22824?\nAnswer: -22737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 1\/8451  (b) -3\/2  (c) 1\/7  (d) -4  (e) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 48\/(-36) + (-52)\/(-3). Let t be 32\/182 + g\/56. Which is bigger: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 825814516\/5 or 165162904?\nAnswer: 825814516\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1367907139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -162 = 166*g - 184*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -32*h + 30 + 18 - 47 + (-19 - 3*h + 19)*(-1 + 2 - 2).\nAnswer: -29*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the second derivative of -2*h**3 - h**2\/2 - 7*h. Let z(q) = q**3 - 11*q**2 - 12*q - 3. Let t be z(12). Is x(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -340995730\/3029 - -112577. Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 631, 1260, 1889, 2518, 3147?\n\"Answer: 629*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1242114704 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 6 = -3*s, 37*s = 36*s. Let m(p) be the second derivative of 0*p**4 - 1\/28*p**7 + 0*p**2 - 3\/80*p**5 - 3\/40*p**t + 0*p**3 + p + 0. Factor m(d).\nAnswer: -3*d**3*(d + 1)*(2*d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 167920 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -168403, -168480, -168557, -168634, -168711, -168788?\n\"Answer: -77*y - 168326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.1058 times -20?\nAnswer: 42.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*k = 5 - 5. Suppose k = -2*t + 2*x + 2*x - 2, 3*t = -4*x + 37. Suppose 0 = -t*o + 195 + 540. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 222 + -132. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43 = -5*m + x, -6*m + 4*m + 24 = 3*x. Let o(k) = -3*k + 7. Let r be o(m). Are r and -19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gzo when three letters picked without replacement from nnnzzgzznzooo?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 13*m**2. Let q(z) = 16*z - 4. Determine q(y(v)).\nAnswer: 208*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*t - 54 = -116 - 126 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 43 + -38. Suppose -x + 0*x - 4*y + 8 = 0, 0 = -x + y - 2. Let t = -1 + 3. Solve -36 = p*f - 4*s, x*f - t*s + 4 = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*7*(-4)\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(42)\/sqrt(7))\/sqrt(3) - ((sqrt(16) + sqrt(112)\/sqrt(7))\/sqrt(8))**2)*1 - ((2*sqrt(288)*1)**2 - -1*sqrt(288)*2).\nAnswer: -1160 - 23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 - -8. Let c(i) = -i - 4. Let k be c(0). Let b be k\/(-3)*3\/18. What is the closest to 3 in -5, z, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-148)\/259 - (-77828)\/28?\nAnswer: 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -33 + 100\/3. Let q be 48\/70 - (-4)\/(-10). Which is greater: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 2 v when three letters picked without replacement from {x: 1, k: 1, v: 2, u: 5, q: 8}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8 and 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(-48)*-386 + (3366\/(-3696) - (-10)\/35)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2 + (27 - (-1 + -1)) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 318941 and 21091?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2208 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10 - -10. Let a be o + -2 + (-3)\/(-1). Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3135, 7739, 13813, 21357, 30371?\n\"Answer: 735*f**2 + 2399*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - (-11 + 6)) + 10 + -4 + -4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 220, 247, 274?\n\"Answer: 27*y + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 7*u + 24 = 2*u, 0 = 5*n - u + 6. Is (-1774)\/(-14) + n\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 + 7.5. Let g = 2.5 - 6.6. Let t = g + -0.9. Which is the nearest to 1?  (a) l  (b) -2\/9  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 183*h = 125*h + 164082. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from {u: 2, c: 1, f: 1, v: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*i + 21 = 137. Is i less than or equal to -68\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (-2 + 23) - (-107 - -100)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2\/3  (b) -1\/2  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 5*w - 2 + w**2 + 0 + 0. Let m be s(-6). Solve 5 = -5*n, 3*v = m*n - 6 + 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes before 7:45 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 19 = 139*i - 144*i, 0 = 5*i - 5*u + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69*z + 23*z + 17*z + 16*z + 18*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -45770 or -43910?\nAnswer: -43910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/(3\/3)*-1. Let j be ((-5)\/v)\/(4\/(-24)). What is the first derivative of 28*u**4 - 15*u**4 - u + u - j wrt u?\nAnswer: 52*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*n - 184 = -38*n - 54 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -50219572*w**2\/5 - 100439152*w\/5 - 16\/5.\nAnswer: -4*(w + 2)*(12554893*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 AM and 1:49 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -81*j**3\/5 - 3*j**2 = 0. Calculate j.\nAnswer: -5\/27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 54 + -50. Suppose 3*f + 5*i + 10 = 0, 4*f = 3*i - 2*i + 25. What is the derivative of 5 - f*m**n - 3 + 3*m**4 wrt m?\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3924, 3926, 3930, 3936, 3944, 3954, 3966?\nAnswer: 3980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 215.82 - 152.7. Let k = -63 + z. What is the third smallest value in k, 4\/5, -4\/9?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 5*t**3 + 7*t**2 - 12*t - 132. Let x(n) = -n**3 - n**2 + 2*n + 2. Give -p(b) - 6*x(b).\nAnswer: b**3 - b**2 + 120","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/79  (b) -4  (c) 226\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*d*v*z + 36*d*z**4 + 7*d - 2*v*z**2 - 2*v*z + 2*z**4 wrt z?\nAnswer: 432*d*z**2 - 4*v + 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12514 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -82458 (base 10) to base 13.\nAnswer: -2b6bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62079.\nAnswer: 3, 20693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 136*v**4 - 182*v**3 - 223*v**2 + 89*v - 6 = 0 for v.\nAnswer: -1, 3\/34, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1513218 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 584508410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + f + 3*w - 25 = 0, -25 = -3*f - 2*w. What is the greatest common divisor of 35 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**4\/(((w**3\/w)\/w*w)\/w))\/(w\/(w**(-1)*w)*(w\/(w\/((w**(2\/5)\/w)\/w)))\/w) assuming w is positive.\nAnswer: w**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 15641 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 3*f + 83*f**2 - 83*f**2 + 0 - 3*f**3 - 3. Suppose 1 = 2*u - u. Let v(d) = d - 1. Determine u*w(n) - 3*v(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 3*u**2 - 50*u + 678. Let t(v) = -10*v**2 + 149*v - 2035. Let y(g) = 14*b(g) + 4*t(g). Factor y(l).\nAnswer: 2*(l - 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7292079 is divided by 3646022?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 231 is divided by (-7 - 6)\/(2\/4*-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -474900 to the nearest ten thousand.\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:27 AM and 9:19 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = -3*p. Let r be (-1 - -6) + (-163 - 0). Let j = -158 - r. Solve j = -3*h, p*h = 2*y + 4*h - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2143046352 by 4.\nAnswer: -535761588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 363*w + 116 = 367*w. What is the greatest common divisor of 116 and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w\/(w*w\/w**2*w))*w)**(-47)\/(w**(-1\/2))**(-1\/30))**(4\/5) assuming w is positive.\nAnswer: w**(-5641\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yfyuhhhhyyuuuuh. What is prob of picking 1 y and 1 u?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 1046 divide 11027178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 1 = 2. Suppose 4*f - 11 = -k*c, -c - 2 - 7 = -5*f. Is 29 a factor of -29*6\/f*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 856.318 centimeters to meters.\nAnswer: 8.56318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 42110315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2001\/(-1044))\/(3657\/(-848))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 5*u - 3. Let j be o(-3). Let l(t) = t**3 + 17*t**2 - 19*t - 15. Let y be l(j). Solve -3*s = -3*p, 8 = y*s - 7*s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1068*f - 1066*f - 16 = -2*l, 22 = 3*f + l for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 78283795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3*(-6 - 28\/(-4)). Suppose 0 = -5*o - 4*i + 21 + 5, 5*o = n*i + 33. Let -o*d**3 - 6\/5 + 38\/5*d**2 - 2\/5*d = 0. Calculate d.\nAnswer: -1\/3, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-65)\/(-18)*2355\/(-3925).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and -0.029?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4656 - 4656.1. What is the closest to u in 2\/9, -4\/25, -4, 0?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 1 = j, 0*v - 2*v - 4 = -5*j. Let q(m) = 3*m + m + 3 - j - 3*m. Let x(b) = 4*b + 4. Give 5*q(u) - x(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 214.1534 weeks?\nAnswer: 35977.7712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -2\/5*t - 1\/5*t**5 + 1\/5*t**2 + 3\/5*t**3 - 1\/5*t**4 + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -214 divided by 59?\nAnswer: -214\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vtz when three letters picked without replacement from tnttnzvt.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/3*-1 + 2. Suppose -4*j - 4*b + h = -21, -3*b = 2*j - 16. Differentiate -u**4 + 3 - 1 + j*u**3 - 2*u**3 with respect to u.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (120488\/32)\/((-1)\/4). Let g be j\/3730 + 2 - 3. Let x = -5\/1119 - g. Calculate the common denominator of x and -63\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 22644, 45275, 67892, 90489, 113060?\n\"Answer: -h**3 - h**2 + 22641*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3533.01 + -3532. Which is the second biggest value?  (a) -0.6  (b) -1  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*x + 8. Let w be 4*-2*x\/24. Sort -3, w, -2.\nAnswer: -3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-441)\/(-18)*(-5)\/((-105)\/12)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.018 - 21.018. Let f = p - -7. Let w = -18 - f. What is the second smallest value in w, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 + -1)\/(8\/(-56)). Let h = 75 + o. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d - 8 - 12, -2*p + 8 = -3*d. Let g(a) = -14*a**3 - a**2 - a. Let w be g(p). Calculate the highest common factor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 3, 0.98, 2, 5, 0.1 in increasing order.\nAnswer: -1, 0.1, 0.98, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -385632612, -385632611, -385632610, -385632609, -385632608, -385632607?\n\"Answer: z - 385632613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 364595 and 364596 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 4*l**2 + 16*l. Let n(m) = m**2 + 5*m. Let o(y) = 10*n(y) - 3*q(y). Determine o(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 84 divide 16808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/((-16)\/40*-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3841.21 tonnes to kilograms.\nAnswer: 3841210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -65.58 + 66. Let p = v + -0.12. Suppose -n + 4*c + 14 = 0, -14 = 4*n + 2*c + 2. What is the closest to -3\/5 in n, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 588 - 357. Suppose 0 = -5*u - 4*y - 7 + i, -5*u - 2*y + 222 = 0. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -1442 - 1131. Suppose -4106 = -4*o - 2*z, -6*o + 5*z + 5140 = -o. Let j = o - r. Round j to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3, -5, -2\/9, -210\/13, -6, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/4*((-10)\/4 + 3). Which is the closest to n?  (a) -0.4  (b) 1  (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 16) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 38 - (-3189 + 3230).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 37 + -20. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(5 + -5*sqrt(1539)) + (4*(sqrt(1539) - (sqrt(1539) + sqrt(1539) + -1)))**2 + ((sqrt(1539)*-1 - sqrt(1539)) + sqrt(1539) + -1)**2.\nAnswer: -315*sqrt(19) + 26185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 163*x + 73*x + 21*x + 117*x to the form c*x + z and give c.\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**5 - 151*k**4\/6 - 157*k**3\/6.\nAnswer: k**3*(k + 1)*(6*k - 157)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 307874 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -24 - -30. Let a(w) = w**2 - 6. List the prime factors of a(g).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12 and 676232.\nAnswer: 2028696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) 1015\/6  (c) -2\/5  (d) 4  (e) -1\/3  (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9103234?\nAnswer: 2, 7, 691, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r*r**(-13)*r\/(r*r**(-1\/21)) assuming r is positive.\nAnswer: r**(-251\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**3 - 5*k**2 + k + 2. Let v(m) = 8*m - 7*m - 10 - 9. Let y be v(14). Give t(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (114\/42)\/(6\/42). Sort -2, 2, a, 1.\nAnswer: -2, 1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14 + 24. Calculate the smallest common multiple of a and (-5)\/2*((-17)\/5 - -1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-6)\/((v**(-3)*v)\/v)*(v**(-2\/9))**(-41))**(-41) assuming v is positive.\nAnswer: v**(-2255\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9 - 5. Suppose c*w + 3*s + 3 = 0, 4*s + 3 = -1. Let t be 3 - 3\/(-2)*(-17 + 19). Sort -1, w, t.\nAnswer: -1, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 730*s - 727*s = -3*h + 48, -3*s + h = 32 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 391 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (2\/(-12))\/((140\/(-1695))\/2) and -13\/11?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and -151.\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 648 = 120*q - 111*q. Suppose -2*k = 4*z - 5*z - 79, 3*z = -k + 36. Let m = k - 15. What is the greatest common divisor of m and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5432.7612 rounded to the nearest 100?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 39970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -6 - (7 - 36\/3). Let p = 34 - 38. What is the nearest to l in 0.75, p, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -6*f + 2. What is s(5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -2*k**2 + 32*k - 78. Let i be r(13). Solve i = j + 3*f + 15, 4*j - 2*j - 20 = 4*f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.3  (b) 7  (c) 2\/3  (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -379, -366, -343, -310, -267, -214, -151?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(2\/5))**(-1\/34)*h**(-1\/2)\/h*h**(3\/7)\/h assuming h is positive.\nAnswer: h**(-1243\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*1*sqrt(320) + 1 - ((sqrt(320) + -1)*4 + -1)) + 2 + 3 + 1*sqrt(320)*-5 + (-2*2*sqrt(320) - sqrt(320)))**2.\nAnswer: -2992*sqrt(5) + 92601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3987 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 5963, 11868, 17773, 23678?\n\"Answer: 5905*r + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -51 + 93*(-236)\/(-413)\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 + 2. Let j be (o\/(-3345))\/(2\/5). Let r = -18957\/892 + j. Find the common denominator of -51\/20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 2*h, 0 = 3*h - 8*h - 5*w + 5. Let g = h - 2. Put -4, g, 2 in ascending order.\nAnswer: -4, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p*p*p**(-9\/5)*p)\/p**(-2\/17))\/(p**4\/p**(-3\/10)))**39 assuming p is positive.\nAnswer: p**(-13143\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the first derivative of -j**2\/2 + 9*j + 23. Let s be g(12). Let b be (-8)\/(1 - -3) + s. Which is smaller: 2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/125200 and 95\/14.\nAnswer: 876400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 29459806?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 57\/10 and 59\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 + -6. Suppose -2*i - 134 = 2*q, 283 = -4*i - 3*q + 2*q. Let h be i\/54*-1*(-6)\/(-4). Which is the closest to h?  (a) 0.4  (b) -2  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2713.\nAnswer: 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15 - 11. Is 238\/4 + h\/8 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**21\/(p\/((p\/p**(-1\/3))\/p)))\/(p*p*p**(2\/31)*p)**(-49) assuming p is positive.\nAnswer: p**(15856\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 2*j + 3. Suppose 3*d - 18 = -3*f, -f - 2*f - 5*d + 22 = 0. Suppose -y + 3*y = f. Suppose p - y*p = 4. What is n(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3516.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 2233408975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l, 1 g, and 1 y when four letters picked without replacement from {l: 1, y: 9, u: 7, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -30894604*p**3 - 34467657 with respect to p.\nAnswer: -92683812*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8778 + -8778.08. Which is greater: 0.095 or y?\nAnswer: 0.095","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10 - 3*u**3 - 25 + 9 - 4 - u**3 + 4 + (-4 + 5 + 1)*(-2 + 2*u**3 + 2) + 5*u**2 - 5*u**2 + 2*u**3.\nAnswer: 2*u**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -71  (b) -6  (c) -14  (d) 2\/11  (e) -1.146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 u when three letters picked without replacement from {u: 5, m: 9}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -23\/114  (b) -1\/5  (c) 0.5  (d) -2  (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vsddvlvlllxrl. What is prob of picking 1 s and 1 r?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17405825.\nAnswer: 5, 23, 30271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74698*d - 74710*d = 36 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 130 a factor of 52299831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2512325113 to the power of 1\/2, to the nearest integer?\nAnswer: 50123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*t**4 - 12*t - 10*t**3 + 7*t + 7*t**3 + 5 - 7 to s*t**4 + w*t**2 + l*t**3 + m*t + b and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 286323229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k - j + 12 + 8, -2*j = k - 4. Suppose -k*x - 11 + 43 = 0. Calculate the remainder when 46 is divided by 2\/(-1) - (x + -22).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 338538 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 11, q: 2}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/2 in -2, -30660, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s + 244 = 44. Let y be (4 - (-99535)\/s) + 2\/5. Let t = -1200 - y. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 368, -5, -3, -30.\nAnswer: -30, -5, -3, 368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**5*q*q*q\/(q**(1\/2)*q)*q*q*(q*q\/(q*q**(-1))*q)**(-6\/19))**(-3\/32) assuming q is positive.\nAnswer: q**(-861\/1216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -395\/9 + 44. Let u = 45 + -25. Suppose -4*z - 11 = h + 9, 4*z = 5*h - u. Is w smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-7\/9)*r)**(-15))**(-29) assuming r is positive.\nAnswer: r**(290\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2*q**2 - 12*q - 20. Let g be z(-4). Which is the biggest value?  (a) 1\/9  (b) 4  (c) -1  (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b5 - -9?\nAnswer: be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 - ((-72)\/28)\/(-3)*-7. Solve o + o - h = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 34*j**2 + 5*j - 20. Let u be (2 - (-6)\/18)*-3. Is 47 a factor of m(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4670791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 1  (b) -2\/9  (c) 2\/49  (d) 4  (e) -271  (f) -0.3  (g) 3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) -5  (c) -740129  (d) 0.3  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4\/9, 4, -1\/3, 10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 5*m - 17, g - 4*m - 2447 = 0. List the prime factors of g.\nAnswer: 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1\/6  (b) -5  (c) 1\/8  (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the first derivative of 30*k - 18 + 25\/2*k**2 - k**5 - 25\/3*k**3 - 25\/4*k**4. Let z(x) = 0. What is x?\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 4075246 = 2*h, -5*h - 5*a = -9*h + 8150504. Suppose 2*o = 6722379 + h. Round o to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -28006580*s**3 + 11424578 wrt s?\nAnswer: -84019740*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*a**3 + 3*a**2*j**3 + 13*a*j**3*x + 3*j**3*x - 114*j**3 + 2*j**2 wrt a?\nAnswer: -9*a**2 + 6*a*j**3 + 13*j**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**4\/4 + 185*b**3\/2 - 9875*b**2\/4.\nAnswer: b**2*(b - 25)*(b + 395)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of 90431491 and -0.4.\nAnswer: 90431490.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (18 - 980\/28)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 45938474*g*h**3*j**3 + 2*g*j**3 - 9029*h**3*j**3 + 645*h**3*j**2 + h**3*j - h*j**2 wrt g.\nAnswer: 45938474*h**3*j**3 + 2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 + 6*d**2 + 7*d + 3. Calculate f(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1476*a + 4291*a + 1622*a.\nAnswer: 4437*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of -j**2 + 31. What is f(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of l**4\/24 - l**3\/2 + 24*l**2 + 101. Let m(p) be the second derivative of f(p). Determine m(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that f**2 - 70802502*f + 1253248572365001 = 0.\nAnswer: 35401251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1243 and 12815.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes before 6:16 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.0521141 and 0.0309997.\nAnswer: 0.0831138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**2 - 4*s - 1. Let a be m(4). Let p be ((-9)\/a)\/(9\/9). Let z = -8 + p. Solve d - 3 = z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -80*g**5 + 9328*g**4 + 13168*g**3 + 5660*g**2 + 473*g - 118 = 0.\nAnswer: -1\/2, 1\/10, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*l**5 - 4*l**2 - l - l**3 + 3*l**2 + 6*l**3 + (1 - 1 - 2*l)*(-323*l**4 - 241*l**4 + 165*l**4) + 2*l**4 + l**5 - 2*l**4.\nAnswer: 801*l**5 + 5*l**3 - l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16942 + 16942.04. Which is the closest to 3?  (a) i  (b) 0.4  (c) 0.3  (d) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 35*j**3 + 7*j**2 + 8*j + 475. Let o(v) = -13*v**3 - 3*v**2 - 3*v - 158. What is -3*g(w) - 8*o(w)?\nAnswer: -w**3 + 3*w**2 - 161","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 40*w - 1. Suppose 2*r + 3*r = 10, 12 = b + 5*r. Let u(t) = -4*t**2 - 4*t**b + 6*t**2 + t**2. Give u(l(s)).\nAnswer: -1600*s**2 + 80*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -42*o**3 - 60*o**2 + 22*o + 57. Give y(-2).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 112 + -58. Let z(i) = -44*i**3 + i + 0 - 2 + q*i**3. What is the units digit of z(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.73888, -2\/31, -0.3?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((1785\/14)\/(-17))\/(-2*(-12)\/(-16))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/12)\/((-4)\/((-36)\/(-3)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j + 5*j**2 - 2*j)*(-4*j**2 + 4*j**2 - 12*j**2).\nAnswer: -60*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 672.7098 millilitres in litres?\nAnswer: 0.6727098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - k = -8. Suppose k*c - 8 - 8 = 0. Calculate the common denominator of 53\/12 and ((-260)\/(-28) - -3)\/c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lkwl when four letters picked without replacement from {k: 1, l: 1, w: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w + 92 = 11*w. Suppose -2*t - 2 = m - 6*t, w = -4*m - 3*t. Let r be (m - -13)*(-5)\/(-3). What is the highest common divisor of 45 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -14*p**3 - 22*p. Let b(t) = -t**3 + 5*t**3 - 12*t**3 - 21*t - 5*t**3. Let j(y) = 3*b(y) - 2*u(y). What is the second derivative of j(a) wrt a?\nAnswer: -66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38474 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*w**2 - 5*w**4 - 63 - 8 + 16*w**4 wrt w.\nAnswer: 44*w**3 - 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20013 (base 5) in base 14?\nAnswer: 65c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 42 and 354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y - 24. Give f(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 39 - 37. Suppose -5*f - 2*f - d*f = 0. Suppose -3*s - 4*p + 333 = -2*s, 3*p + 3 = f. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, x: 2, e: 1, p: 1, i: 7, a: 4}. What is prob of picking 1 e, 1 x, and 1 i?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/40*((-9)\/(-8))\/(48\/64).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of m**4\/2 + 2*m**3 + 2*m**2 + 4*m - 7. Let p(c) = -3*c**3 - 7*c**2 - 5*c - 5. Give 4*p(u) + 5*s(u).\nAnswer: -2*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 922578, 1845164, 2767756, 3690354, 4612958, 5535568?\n\"Answer: 3*p**2 + 922577*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*l + 55 = -69 - 409 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express l + 0*l**3 + l**3 + 5*l**3 - l**2 + 0*l**2 in the form x*l + n*l**2 + g + u*l**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r = 4*l - r + 2*r + 177, 30*r - 2*r = -4*l - 152 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-36)\/(-16)*(-4)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -12*j + 11. Let v(a) = 5*a. Determine u(v(y)).\nAnswer: -60*y + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 9*o + 92. Let k be w(-8). Suppose -2*f + 2 + 2 = 0. Suppose 2*j = -f + 10. What is the greatest common factor of j and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, -3, 16, -0.014, -16\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 + 0)\/((-5)\/25). Let x(i) = 8*i**2 - 3*i - 5. Let f(u) = -u**2 - 2*u + 3*u - 2994 + 2995. Calculate s*f(l) + x(l).\nAnswer: 3*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (22 + 12375\/(-561))\/((-10)\/8 + 1).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47 + -37 + 11 + -20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5153844 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:56 AM and 11:01 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 12 = v. Suppose -2*j + 10 = v*j. What is the least common multiple of 5 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -y + 341 + 222 - 754 + (-2 + 4 - 1)*(4*y - 2*y - 3*y) + 0 + 0 - y.\nAnswer: -3*y - 191","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100\/10 - 9\/(171*2\/384).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 375063371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-1 + 1\/3). Suppose -2*q + 29 = 3*i, 3*q + 82 = t*i + 28. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 95160836 + 6431.082\nAnswer: 95167267.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*l**2 - 3*l**2 - l**2 - 7*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28660 is divided by 5732.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.5 and -56.5?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -290 - -295. Suppose -2*n - 4*l - 3 = r, 3 = -l. What is the greatest common factor of 32 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, -13, -20, -23, -22?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 17 + -10. Find the third derivative of -7 + d + 5*l**2 - 4*l**3 wrt l.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 41290 + -41205. Let l(a) = -a**3 + 13*a**2 + 14*a + 17. What is the least common multiple of d and l(14)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 65328993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 3*b. Let v = 14 - 5. Let o be ((-4)\/(-6))\/(3\/v). Let s(a) = -a. Let q(h) = h**2 - 2*h. Let p(c) = o*s(c) - q(c). What is f(p(u))?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - q + 2. Let l be q + 0 - 1 - -782. Find the common denominator of -21 and (2\/(-8))\/(27\/l).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18463784 to the nearest integer?\nAnswer: 4297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 27722 + 1267 = -m, 4*m - 3*c = 105910. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/24 + (-1)\/6. Let r be (-1 - h)\/(3\/(-54)). Suppose -2 = -5*g + r. Sort -5, g, 3 in ascending order.\nAnswer: -5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 2*l. Let h(s) = -38*s**2 - 47*s**2 - s**2 + 4*s**2. Calculate h(j(p)).\nAnswer: -328*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x, 1 t, and 1 j when four letters picked without replacement from xxxxxxxxjxxtx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(-600))\/(249\/830)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*l - 4*l - 4*l)*(20*l**2 - 52*l + 52*l)*(5 + 14*l - 8 - 12*l) to j*l**2 + q*l**3 + z*l**4 + g + r*l and give z.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2689442839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**2 + 11*t + 14. Let p be u(-10). Suppose q - p*q = -6. Suppose v = q*v - 125. Is 32 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 4 - 6*k + 0 as f + y*k and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.068673 rounded to three decimal places?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (5\/((-25)\/606))\/(164\/(-410)). Let s = -189 + l. What is the highest common divisor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11275 is divided by 1095.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4292*u + 4284*u = 12168. What is the nearest to u in 5, -5, 2\/5, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vazqz. Give prob of picking 2 z, 1 q, and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 3*s - 9*s + 1 - 2. Let u be q(-2). What is the greatest common divisor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90.3715 micrograms in kilograms?\nAnswer: 0.0000000903715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.091 + 1.909. Which is greater: -7.4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((3*sqrt(119) - sqrt(119))*3)\/sqrt(7) + sqrt(153) + (-4 + sqrt(153) + 1 + sqrt(153) - sqrt(153)))**2.\nAnswer: -72*sqrt(17) + 2457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the second derivative of -t**4\/6 + 2*t. Let v(g) = -2*g - 5. Let f(j) = -j - 2. Let y(r) = -5*f(r) + 2*v(r). Determine y(i(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmr when three letters picked without replacement from {m: 13, r: 3}?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*t + 17 - 17 + t in the form m + n*t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -92 - -96. Suppose -2*a = -7*a + 10. Suppose -3*t - 3*s + 10 = 2*s, -t + a = 3*s. Solve 5*m - 11 = 5*y + 19, -t*m = z*y + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*q - 11*q**2 - 5*q + q in the form h*q + z + l*q**2 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-10)*(-160)\/128)\/(1*1\/(-35))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 5\/6  (b) 1\/3  (c) -1\/9  (d) 2  (e) -7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i\/(i**1\/i)*i*i)\/i**(-3)*(i**(-3)*i)**(-5\/7))**(-38) assuming i is positive.\nAnswer: i**(-2242\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 3*j**2 - 81*j + 129. What is the remainder when n(31) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -303*m**2 - 5555*m + 3825. Calculate n(-19).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -56, 5, 0, -1 in increasing order.\nAnswer: -56, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 683 + 613 = 0. Suppose 3*m - q = -207. What is the smallest common multiple of 33 and m?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 + 14*o + 0*o - 9*o - o.\nAnswer: 4*o + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 47 = 5*p, 2*p - 4*r - 35 = -p. Solve 4*a + 5 = -i, 4*a - p = 5*i + 16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - -2. Suppose 5*q - 3*v = -55, q + s*v - 5 = -3. What is the units digit of (-3)\/(-12) - 70\/q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/21, 240, -2 in descending order.\nAnswer: 240, 2\/21, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9708750?\nAnswer: 2, 3, 5, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the third derivative of 1\/2*s**3 + 0 - 8*s**2 + 0*s - 5\/24*s**4. What is z(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w - 1. Suppose 0*c + 3*c - 1 = -j, -2*j - 2*c = 2. Let h(u) = u + 3. Give j*r(k) - h(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 200 a factor of 211377883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*l = 17*l - 572 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2892 divided by 241?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -34.8 from -34330117.902.\nAnswer: -34330083.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 3 = -11. Is 2 a factor of (14\/f)\/((-3)\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1170*d - 2596*d**3 - 1170*d.\nAnswer: -2596*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6804 + 74862\/11. Find d, given that f + 2\/11*d**5 - 28\/11*d**2 - 6\/11*d + 10\/11*d**4 + 4\/11*d**3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 9842.699 decades?\nAnswer: 98.42699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the third derivative of z**4\/12 - 31*z**2. Let y(g) = 3*g. Calculate y(j(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6581, -6579, -6577?\nAnswer: -6575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -45.0596 + 29.41599. Let w = 15.65 + x. What is w rounded to four dps?\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1174379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 32 + -20. Let j = g - 9. Suppose 2*a = -j*a + 355. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100 = 9*q - 8*q. Let i(m) = -6*m**2 - 10*m - 7. Let n be i(-6). Let l = q - n. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 265390*b*h*t**3 - 3*b*h*t + 2*b*t + 10*b + 19*h*t**2 + 3*h - 1552*t wrt t?\nAnswer: 1592340*b*h*t + 38*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 66 and 21?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 0.1, 4\/7, -16\/11, -1.8?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 38498 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1044164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7693410 to the power of 1\/2, to the nearest integer?\nAnswer: 2774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1894066073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2*(-14)\/4)\/((-6342)\/28992).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 13541, -1852, 1 in ascending order.\nAnswer: -1852, 1, 13541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y - 15 - 13. Let l(z) = -44*z + 11. Let t(a) = 22*a - 5. Let u(b) = y*t(b) + 4*l(b). What are the prime factors of u(-4)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 + 2*b**2 - 43*b + 32. What is p(0)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = -r + 23 - 0, -2*b + 4*r = -16. Let h be (-4)\/b - 0\/1. Which is bigger: h or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9900 = 4*t + m, 3*t + m - 3353 = 4072. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + j - 2)*(3*j**3 - 3*j**3 - 2*j**3) + 3 - 6*j**4 - 3.\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 2442121 = 2356736. Let o = -499619 - d. What is o rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2517129.\nAnswer: 3, 53, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Do 13267\/23 and 5\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ubktttbutbw. Give prob of picking 2 u and 2 b.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 702*b + 540*b - 19872 = 0 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3792*w - 2463 = -116223 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 432527 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 115 = 20*x - 316 + 91 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4414400 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lmyylylykwy. What is prob of picking 1 m, 1 w, and 1 l?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2201 by -9029.\nAnswer: -2201\/9029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 89890 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -109*o - 20. Let q be y(-2). Which is bigger: 195 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oowowwooowwo. What is prob of sequence oow?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -10087038808 + 60911\nAnswer: -10086977897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 5*g = -26, -r - 5*g = -2*r - 14. Let p(o) = 519 - 519 - r*o. Let i(z) = 3*z**2. Calculate i(p(n)).\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 118296151, 236592302, 354888453, 473184604, 591480755, 709776906?\n\"Answer: 118296151*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 8, 0.3, 1, -0.2, -307.5, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 915\/1 - 0\/32 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -62 + 62. Suppose y = -4*h - x - 4*x - 84, 0 = -4*h + 2*x - 84. Let f be (-70)\/h - 4\/(-6). What is the nearest to -2\/3 in -4, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, u: 3, j: 1, y: 1, q: 3}. Give prob of picking 1 j, 1 q, and 2 z.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + 208f?\nAnswer: 208d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 19613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 43747219 minus -0.037?\nAnswer: 43747219.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 70 - 53. What is the units digit of 186\/((-8 + y)*2\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 3*o**2 + 7*o - 11. Let s(p) = -7*p**2 - 23*p + 30. What is -4*s(r) - 11*w(r)?\nAnswer: -5*r**2 + 15*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 5*i - 4*i + 161 = 0, 3*a + 3*i - 117 = 0. Suppose -a - 64 = -13*o. Solve -w = w + o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9370.\nAnswer: 2, 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/7  (b) 1\/54  (c) 1\/8  (d) -1\/5  (e) 1  (f) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12 and 1098.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/2 in 1, -5, -0.1, 31845?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3180302979 to the nearest integer?\nAnswer: 56394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1249366.179 and 23.\nAnswer: -1249343.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**3 + 13*p**2 + 2. Let j be h(-13). Suppose 5*f + 3*o - 22 = 0, -j*f - 5*o = -f. Solve 5*n - 4*v = -40, 18 = -2*n + f*v - 3*v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-1)\/45*59*455\/(-182) and 191\/8400.\nAnswer: 25200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 2*k + 7 = 0, 0 = j + 5*k + 1 + 1. Solve -g + 2*g - 5 = 0, -21 = 3*z - j*g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -512 (base 6) to base 5.\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*n - 4*r - 14, -4*n + 4*r = -19 - 9 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 27 + 57 + 2 + -34\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5655 and 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 415655 and 69041?\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 254*i**2 - 10*i + 6153.\nAnswer: 508*i - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -z + 3*s + 40, -2*z = -5*s - 116. Let g = 27 + 13. What is the remainder when z is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -12*s**2 + 184*s + 19. Give y(16).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 203495, 203498, 203501, 203504, 203507, 203510?\nAnswer: 203513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (29 - 33) + (4 - (-1 - -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 9, d: 1, v: 1, y: 4, p: 2}. Give prob of sequence pp.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-18)\/(-42))\/((-6)\/8). What is the nearest to 1 in 3, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/15?  (a) 0  (b) -4  (c) -1  (d) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**2 + 3*h**2 - 3*h**2 + h**2 + 2 - 2 + (6*h + 0 + 0)*(2*h + 2*h - 3*h).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 - 7410111660*q + 7 + 7410111659*q.\nAnswer: -q + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -154, -320, -506, -718, -962, -1244?\nAnswer: -1570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 177, 1743, 6073, 14547, 28545, 49447, 78633, 117483?\nAnswer: 167377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.6 != -2\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*x - s - 10, 419*s + 425*s = -4*x + 848*s + 24 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 5*g = 52, -5*q + 2*q + 2*g = -46. Suppose 0 = -5*u + 198 + 48 - 26. Calculate the lowest common multiple of u and q.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 38 or 274\/7?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-595)\/(-1428))\/((-3)\/108).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 606 = -3390. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2 or 18\/11?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -410 divided by -1.\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 84865 and 69435?\nAnswer: 763785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2936627.\nAnswer: 29, 131, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-972)\/(-1215))\/(14\/5). Which is the nearest to g?  (a) -4  (b) 28  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o = 2*h - 18, 4*o + 5*h + 45 = 86 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3897800  (b) 3  (c) -148\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 22?  (a) 5  (b) 1\/9  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 36 = 798*k - 801*k, 2*p + 3*k = 24 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 288*f = -13*d + 283*f + 52, -4*d + d + 12 = 5*f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 49 + -47. Let k = -90 + 10. Let f = 80.4 + k. Which is the second biggest value?  (a) 0.1  (b) h  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 45 - 23. Calculate the greatest common factor of z and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 2*f**2 - 300*f + 8926. Determine v(113).\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that f**2\/7 + 27760020*f\/7 + 192654677600100\/7 = 0.\nAnswer: -13880010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 99 divide 13959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 3263, 4170, 5091, 6032, 6999?\n\"Answer: p**3 + p**2 + 897*p + 2364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*c - 76992 = 0. Let m(k) = 8*k**3 - 382*k**2 - 96*k - 8. Let r be m(48). Is (2\/(-1))\/(c\/2408 + r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 10 + 6. Let p(n) = -n**2 + 8*n - 1. Let h be p(q). Suppose 704 - 704 = -25*b. Which is bigger: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1547676 and 234.\nAnswer: 1547676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -538*r**3 - 143*r**2 - 4*r + 3. Let g(m) = -m**3 - 3*m**2 + 2*m. Let i(w) = 2*g(w) + q(w). Find the third derivative of i(v) wrt v.\nAnswer: -3240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/57 in 2\/3, -1, 2.6, -2\/7, 21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 637 divided by 13?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*x + 14 = 2*b, 4*x - 3*b - 90 - 160 = -206 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 155383968 to the nearest integer?\nAnswer: 12465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4 - -2)\/2*-1. Solve 0*u + u - o = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*c + 56 = -2*c + 2*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -13350600 rounded to the nearest one hundred thousand?\nAnswer: -13400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 120\/(-1200)*(-20 + 0). Solve r*h - 5*h - 8 = 2*j, j = -4*h - 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-128)\/160)\/(-1 - 12\/(-10)). Sort -20, -3, n.\nAnswer: -20, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -308.012 + 0.06.\nAnswer: -307.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -1\/597811038?\nAnswer: -1\/597811038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -15*c**2 + 102*c - 7. Let z be t(5). What is the highest common divisor of z and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11512557 (base 9) to base 2\nAnswer: 10101011011100111010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -3*l - 13. Determine u(7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2133, -4097, -5889, -7509, -8957?\n\"Answer: 86*r**2 - 2222*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence melo when four letters picked without replacement from {e: 1, m: 3, l: 5, n: 1, o: 5}.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -4*o + 9. What is the tens digit of f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 927396 divided by -4.\nAnswer: -231849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the third derivative of -v**5\/15 + v**2. Let a(q) = -35 + 35 + 3*q**2. Determine a(p(l)).\nAnswer: 48*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n + 2*d + 37 = 0, 76*n - 71*n + 109 = 16*d for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 342?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 - 2*i**2 + 1. Suppose -74*d - 50 = -79*d. Suppose -d - 305 = -5*s. Calculate the remainder when s is divided by t(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:39 PM and 2:03 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 15012 - -4?\nAnswer: 15016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95*b - 8845 = -100*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 10 = -5*c - 3*s, 0 = -3*s - 9. Let h(r) = 2*r + 2. Let q be h(c). Let p be (54\/(-3))\/(6\/(-36)). What is the highest common factor of p and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -14*p**3 - p**2 + 2*p + 4. What is the remainder when 43 is divided by l(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 78, 295, 658, 1167, 1822, 2623?\n\"Answer: 73*i**2 - 2*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*h**4 - 4*h**4 - h**4 - h**4 - 3*h**4 + 2*h**4 + (-2*h**2 + 0*h**2 + 3*h**2)*(-3*h**2 + 1 - 1) + (2*h - 2*h - 2*h)*(2*h**3 + 2*h**3 - 5*h**3).\nAnswer: -5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -5*h**2. Let a(o) = 5212*o**2. Give f(a(m)).\nAnswer: -135824720*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y\/(y**(-2\/3)\/y*y))**(-38)\/(((y*y\/(y\/y**(-1\/6)*y*y))\/y*y)\/(y\/y**4))*((y*y**1)\/y)**(-27)\/((y*y**(2\/5)\/y)\/y)**34 assuming y is positive.\nAnswer: y**(-3293\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**3 - 11*a**3 + 9*a**4 + 11*a**2 - 8*a**2 + 3*a.\nAnswer: 3*a*(a - 1)**2*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*p**4 + 17035*p**3 + 34090*p**2 = 0. Calculate p.\nAnswer: -2, 0, 3409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-192)\/(-192)*(-2)\/(-58). Put -1, v, 5, 0.5 in descending order.\nAnswer: 5, 0.5, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26131837 divided by 3\nAnswer: 26131837\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -971 + 966. Let g(d) = -2*d**2 + d. What is g(p)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -49*q + 60. Let p(s) = 38*s - 58. What is 5*l(z) + 6*p(z)?\nAnswer: -17*z - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26468253?\nAnswer: 3, 7, 53, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.092*-1.07678.\nAnswer: 0.09906376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 195814 - 2*t - 195814.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 134243586 is divided by 7896681.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 1 + 10)*(2 + 1 + 0)*(-16*w**2 - 6 + 6 - 2*w).\nAnswer: -912*w**2 - 114*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4\/3  (b) -5  (c) -4  (d) 79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -5, 0, 4\/3 in decreasing order.\nAnswer: 4\/3, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60 is divided by 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(418) - 4*2*sqrt(418))\/(sqrt(11)*-2*2))\/(-4*sqrt(200) - (sqrt(2) - (sqrt(2) + (sqrt(64)\/sqrt(2) - sqrt(32)) + sqrt(2)))).\nAnswer: -7*sqrt(19)\/156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99) + -1*sqrt(99)*4 + sqrt(99) + sqrt(99))\/(sqrt(72)\/sqrt(72)))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 13*l - 8*l. Let d(s) = 6*s**2 + 3*s + 3. Let g(t) = -t**2 - t - 1. Let j(x) = l*g(x) + 2*d(x). Let m(v) = -v. Determine m(j(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 5*v**5 - 45*v**4 - 125*v**3 + 145*v**2 + 240*v - 220 = 0.\nAnswer: -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 less than 26160797?\nAnswer: 26160819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*b + 407 = 51*b. Solve -b*v + 2*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - b + 6*b - 502, 4*b = 2*z - 320. Let j = -104 + z. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1892*p**4 - 3676*p wrt p?\nAnswer: -22704*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -80.1264 + 0.0264. Let a = 12.1 + t. Is a equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o - 8 = 5*i + 17, i = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16702602*w**3 + w**2 + 16689459*w**3 - w**2.\nAnswer: -13143*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -200, 15, -5, -3.03 in increasing order.\nAnswer: -200, -5, -3.03, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o - 0*o + 4. Let g = -1.7497 + 8.7497. Which is the second biggest value?  (a) -1\/3  (b) g  (c) 5  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 54836487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*m**3\/2 - 15*m**2\/2 - 55*m + 60 = 0. What is m?\nAnswer: -4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -40, 53, 364, 1001, 2072, 3685, 5948, 8969?\n\"Answer: 18*g**3 + g**2 - 36*g - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.973743ng to tonnes.\nAnswer: 0.000000000000007973743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -78 + 77 + (0 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-697)\/(-51) + (-3)\/(-9). Solve -25 = -5*y, 3*y + 9 = 2*s + v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of -5\/12*l**4 + 1\/3*l**3 - 1\/30*l**6 + 0 + 0*l**2 + 2*l + 1\/5*l**5. Suppose g(d) = 0. Calculate d.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q. Let x(c) = -5*c. Let b(d) = -20*o(d) - 5*x(d). Let w(n) = -3*n**2. Let l(f) = f**2. Let y(j) = 4*l(j) + w(j). Determine y(b(t)).\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 136485 is divided by 1011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*1\/(-174)*210\/(-105)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -645 + 686. Which is smaller: l or 44?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -18 - -19. Calculate the highest common divisor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*p**4 - 41432*p**3 - 124350*p**2 - 93276*p = 0.\nAnswer: -3\/2, 0, 5182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -7*x + 42. Let j be (-6 + -1 - -6)*x*-1. Solve 0 = -j*v + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1459.987 + -1460. Let v = -12329671.986999981 - -12329672. Let i = t + v. Round i to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, -0.0333, -1\/6, -5, -2\/5, -470?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 110 - 55. Let a = 67 - i. What is the greatest common divisor of a and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -2*w. Let h(z) be the first derivative of -z**2 - 16*z - 32. Let k be h(-9). Let g(d) = -d - 1. Give k*m(l) - 2*g(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**3 - 11*m**2 - 12*m + 20. Let y(q) = 3*q**2 + 10*q - 13. Let r be y(-5). What is the lowest common multiple of 76\/6 - 8\/12 and b(r)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 215621?\nAnswer: 7, 30803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -2*z + 14 + 254, -388 = 4*q + 5*z. Let d = -30 - q. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1*9\/(-3))\/3. List the prime factors of c\/((-712)\/237 - -3).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 98275125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5\/(-10)*(2 - 3 - -1). Let h(n) = n**3 - n**2 - 2*n - 50. Determine h(f).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18 + -2 + (-56376)\/(-2835)\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12.0772 - -0.1672. Let h = b - 0.09. Let v = h + 11.99999984. What is v rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 AM and 8:52 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -2*z**2. Let r(d) = -7*d**2 + 9. Calculate n(r(j)).\nAnswer: -98*j**4 + 252*j**2 - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17296, -34744, -52192?\nAnswer: -69640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6531 + 5637. Is -899 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 0*c - 5*c - 10, -4*s - c = 2. Let p be (-5)\/(2*-115)*-10. Let i = -17\/23 - p. Is s smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1677 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = -3*g - g - 8, 0 = 3*b + 5*g - 27. Suppose b*o - 65 = 5*k, -k = -o - 0*k + 15. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.51 plus 1.89?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -0*x + 3*p + 141, -66 = -2*x - 2*p. Is 19 a factor of (-1706)\/(-10) - (78\/x + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-15)\/((0 + 4)\/(-4)). Let d = u - 11. Suppose d*j - 50 = 2*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/(-96)*8\/(-70))\/((-1898)\/8541)?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -4*s**5 + 3*s**4 + 43*s**3 - 155*s**2 + 123*s + 5. Let j(w) = -w**4 - w**3 + w**2 - w + 1. Let l(k) = -a(k) + 5*j(k). Solve l(y) = 0 for y.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16)\/8*(-4)\/(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -22 + -7. Let g = 29.4 + i. Put -3, g, 1 in ascending order.\nAnswer: -3, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 125 + -124. Let m = -1 - -0.5. Let s(a) = a**2 + 6*a - 7. Let p be s(-7). What is the nearest to 1 in p, h, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11087119 is divided by 344?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -23.05172643 rounded to 2 decimal places?\nAnswer: -23.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -25*a - 51 + 151. Solve 5*i + 1 = -a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-10)*-2*(-25935)\/(-546).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7.9 + -8. Let p = 170 - 1188\/7. Which is the nearest to i?  (a) -2\/11  (b) p  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 8*i**2 + 3*i + 12. Let k be n(4). Solve k - 140 = 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 657 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 307021.9 litres in millilitres?\nAnswer: 307021900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 - (-7 - -3)) + -1. Let j(t) = 0*t**2 - t**2 - 9 - 6*t + 17*t + 0*t**h. Let n be j(8). Calculate the greatest common divisor of 6 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dpjiyyypddyyiddi. Give prob of sequence dpj.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 + 1 + 2)*(-5*v + 2*v + 4*v) - 2 + 2 + 3*v)*((3 - 5 + 3)*(2 + 1 - 1) - 160 + 232 - 151).\nAnswer: -154*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/20410 and -3\/34510.\nAnswer: 70434910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 31?  (a) 26  (b) 2  (c) 2\/11  (d) -4844\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -172 - -199. Calculate the remainder when 44 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.005 - 2.095. Let n = p + 2. Let s = -2\/15 - 1\/5. Which is the nearest to n?  (a) s  (b) -0.1  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -68 + 7871*o - 7867*o - 347 - 155 - 100 in the form r + y*o and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3850 - 48?\nAnswer: -4008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w + 49 - 74. Suppose -1535 = -w*j + n, -2*j = -j - 4*n - 326. Calculate the highest common factor of j and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 3*n = 9, g - 2*g = 5*n + 22. Suppose 3*s = g*d + 4*s - 9882, 0 = 2*d + 2*s - 6592. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -48727 - -19831. Let t = x - -28895.72126. Let c = -0.28 - t. Round c to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p + 10 = -2*p. Suppose u = p*u + 3*o - 18, -u + 4*o - 10 = 0. Calculate the common denominator of 52\/5 and 151\/10 + u\/15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.066673416813 + 0.2.\nAnswer: 0.133326583187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.646 - 0.65183. What is l rounded to 4 decimal places?\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1020727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 52ca2 - -4?\nAnswer: 52ca6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -12 and -163.3257?\nAnswer: 1959.9084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 2*f + 43209, 9*f - 4*f - t + 107997 = 0. Let q be (25*(-3)\/(-4))\/(15\/f). Round q to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-16 + -19)\/((1\/(-51751))\/(-1)). Let z be (-2)\/18 - c\/315. What is z rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 151\/12 and -59\/2776?\nAnswer: 8328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 133\/1492236 and -7\/164?\nAnswer: 1492236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, 1 in decreasing order.\nAnswer: 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/45056 and -117\/560.\nAnswer: 1576960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1184547211?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 + 68 + -27 - (-16 - 1).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((48\/(-20))\/(-4))\/(-1 - -2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3640541.\nAnswer: 37, 61, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 + 101337?\nAnswer: 101334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108*u = 105*u + 10251. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 135 and 90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -5*a - 3. Let c(w) be the first derivative of w**2\/2 + w + 2. Let b = -28 - -29. What is b*p(n) + 3*c(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/10*(-75)\/18. Which is the smallest value?  (a) p  (b) -17\/4  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -71473005 to the nearest one million.\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1445485440.\nAnswer: 2, 3, 5, 7, 131, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 46187914*t**2 + 112418804*t wrt t.\nAnswer: 92375828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -438*i**2. Let t(n) = -2380*n. What is t(m(y))?\nAnswer: 1042440*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 5*o = 2*o - 16, 3*q + 4*o = -2. Let s be (1\/q)\/(1\/2). Suppose -s = -h + 20. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 3*u**2 - 11*u - 1. Let f(v) = v**2 - 6*v - 8. Let j be f(8). Is y(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 5*w = -609. Calculate the remainder when w is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y + 12 = 9*y. Suppose y*z - 46 = -g - 0*g, z = 4*g + 20. What is f in -3*f**2 - 14*f + 7*f + z*f**3 + 9*f**4 + f = 0?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -2*p - 3 + 2 + 3*p + 12. What is h(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the second derivative of y**4\/6 + 13*y**3 + 18*y**2 + 436*y + 3. What is x(-39)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*g, -3*u + 31 = 5*g - g. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 512 + -274. Suppose 3*c - 2*s - 2*s = t, 3*c - 2*s = 242. Let x = -15 + c. What are the prime factors of x?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1158326970 to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o = -0*o - 4*x + 5, 3*o + x = -20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 13) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 3679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.44793*3\nAnswer: -1.34379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - i = -25. What is the third derivative of -2*z**i + 2*z**2 + z**5 + 3*z**5 + z**5 wrt z?\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 2  (b) 13  (c) -1\/3  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -16*o**2 + 2621*o + 119454 wrt o.\nAnswer: -32*o + 2621","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-385)\/420 + (-4)\/(-6). Suppose -2*u - 5 = -65. Is u less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.091, 3\/8, 2\/5?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 5*m**2 - 70*m - 183. Give i(16).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 o when three letters picked without replacement from thhooao?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (1 + 2 - -9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 1:31 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 21354797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (1 - -4 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.4  (b) 4\/3171  (c) -0.3  (d) 0  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from uuuuuuuubuubbuubbb?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**2 - 5*s + 1. Let i be 4\/(1 - (-2)\/2). Suppose -7 - 53 = i*k. Let m be k\/4*8\/(-12). Calculate o(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -4, -1\/8, -0.5, 1.746, 3\/4?\nAnswer: 1.746","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 903*m. Let q(t) = -1179*t**2 - 2*t. What is q(p(y))?\nAnswer: -961367211*y**2 - 1806*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/62206 and 15\/36014.\nAnswer: 684266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 220 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5337 - 696. Is y a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 3*d = -49, -3*f = -4*d - 32 - 36. Let z be (5\/10)\/(1\/f). Suppose 0 = -n + 5*n - z. Calculate the smallest common multiple of n and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -378*v + 4522 = -55*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*a = -11*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the first derivative of -2*b**7\/7 + 5*b**6\/3 - 7*b**5\/5 - 57*b**3 + 13*b**2\/2 - 5750. Find the third derivative of q(u) wrt u.\nAnswer: -240*u**3 + 600*u**2 - 168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7069 (base 12) in base 13?\nAnswer: 5709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 39\/35, 5, 0.5.\nAnswer: 0.5, 39\/35, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-48)*-6 + 70\/4. Suppose 8*x = 2 - z. Calculate the least common multiple of (-4)\/8*(x*6)\/3 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*r = -22*r + 12. Solve -i = r*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -114 + 131. Solve -3*m - 5 = -n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1411, 2824, 4237, 5650, 7063?\nAnswer: 8476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 4 = -4*w, -3*b + 8*b = -3*w - 43 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 521, 1003, 1447, 1853, 2221, 2551?\nAnswer: 2843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 28*d**2 + 373*d + 142. Let n be l(-13). Which is smaller: n or 1464\/59?\nAnswer: 1464\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22532.\nAnswer: 2, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-18)\/(-390)*(-148)\/6. Let o = l - -20\/13. What is the third biggest value in 5, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the third derivative of 0 + 6*m**2 + 7\/24*m**4 - 2\/3*m**3 + 0*m - 7\/6*m**5. Find the second derivative of n(t) wrt t.\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -259143571 divided by -1.\nAnswer: 259143571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 3 + (2 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 13 + 0 - 2*r to c + i*r and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 337565514.\nAnswer: 2, 3, 11, 13, 19, 20707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 34523 = 3*n, 2*n + 17259 = -2*a + 3*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (-1 - -3) - (5 + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*g - 49 = -13. Find the second derivative of 53 - 31 + l**g - 6*l + 12*l**4 - 19 wrt l.\nAnswer: 144*l**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 2*o - 0*o - 498, 2*o = -5*r + 618. Let g be 2\/10 + r\/(-20). Let w = 14 + g. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*k - 4*v + 3 - 5, 3*v + 1 = 75*k - 70*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2948)\/(-6) + 216\/(-648) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**2 - 12*d + 12. Let v be m(-12). Suppose -5*p + v = 2. Let i(l) = -p + 2 + 5*l + 3*l. Let t(c) = -2*c**2. Calculate i(t(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 84842 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*(-1)\/(-4) - 21\/4. Let q(j) = j**2 + 6*j + 1. Determine q(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.557464 years?\nAnswer: 0.000557464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 13848571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2768 - 2767.567. What is o rounded to 2 decimal places?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 3, u: 2, i: 4, f: 6}. Give prob of sequence fuui.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 91976419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6\/13 + 4\/13*v - 2\/13*v**2 = 0. What is v?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*s**5\/3 + 67*s**4 + 332*s**3 - 2272*s**2\/3 - 3232*s + 5712 = 0. Calculate s.\nAnswer: -34, -6, -21\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:56 AM and 5:08 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 6561*m**5 + 24057*m**4 - 125874*m**3 + 175536*m**2 - 101760*m + 21504 = 0?\nAnswer: -7, 2\/3, 8\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4 or -110\/21?\nAnswer: -110\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (57 + 60 - 49) + -119.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -169615133*a**3*s**2 - 231*a**2*s**2 + 12448*s wrt a?\nAnswer: -1017690798*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 3 - 3*y**2 - 5*y + y**2 + 2*y + y. Calculate g(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -99715 - -5179915. Round b to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1863639 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/18906 and 5\/411?\nAnswer: 18906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2205 - 2193. Solve 0 = o*s - 36 - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18 - -36. Let z(q) = 5*q - v*q**3 + 17*q**3 - q**2 - 4*q - 1. Determine z(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3141137.2 to the nearest 10000.\nAnswer: -3140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -13117, -13274, -13633, -14296, -15365, -16942, -19129?\n\"Answer: -17*l**3 + l**2 - 41*l - 13060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**2 - 3*p + 9. Let v be q(-6). Calculate the highest common factor of v and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(1\/4))\/((m\/(m\/(m**(-1\/9)*m)))\/m))**(-29)\/((m**(2\/5)\/m)**(-7)\/(m\/(m*m**1))**30) assuming m is positive.\nAnswer: m**(-13261\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6560 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2 and -1743.876?\nAnswer: 1741.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 63\/33116 and -91\/82790.\nAnswer: 165580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000030296 rounded to 7 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.015809792 to four dps.\nAnswer: 0.0158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/1*9\/(-117)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2756 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: 0.5+140\nAnswer: 140.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes before 8:34 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/((17 - 656\/32)*37\/(-259))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 6}. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1368956 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 85.41 + 1.59. Let t = m + -86.94. Which is the nearest to t?  (a) -4  (b) -1  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 0*q - 6 = 2*k, q - 6 = 2*k. Which is the second biggest value?  (a) 1\/13  (b) q  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -10*g + 79. What is j(11)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68 = -10*o - 18 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 2*l - 8. Let c be v(4). Suppose 4*w - 2*n - 47 = -17, w - 4*n - 4 = c. Solve -3*k = k + w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171)*3 - (3*sqrt(95)\/sqrt(5) - sqrt(19))) + -2)**2.\nAnswer: -28*sqrt(19) + 935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 4 = -2. Let t = -698\/583 + -4\/53. Is w smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 6*w - 4*w + 3*m, -w - 5 = 5*m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 398  (b) -7\/262  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -444 - -439. Is -0.18 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 932632, 932616, 932600, 932584, 932568?\n\"Answer: -16*b + 932648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3\/13  (b) -2\/21  (c) 15  (d) -4  (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*i + 7*i + 3*i + 8*i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**3 - 2*v**2 - 2*v. Let o = 0 + 3. Give j(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = 5*u - 472. What is the common denominator of u\/110*26\/12 and ((-3)\/(-18))\/(8\/(-294))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 13*y - 74. Let s be d(8). Suppose 34 = u + s. Solve 2*b - u + 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5667 by -4.\nAnswer: -5667\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -g**4 - g**2 + 3*g**2 - g**2 + g**4 + g - g - 4*g**4 + 3*g**4 - 2*g**4 + (0*g**2 + g**2 - 2*g**2)*(5 + g**2 - 5).\nAnswer: -4*g**4 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 59576, 59359, 59128, 58877, 58600, 58291?\nAnswer: 57944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1125 and 4575.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -505840 = -456*f + 47744. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 413.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -w - 6, w + 0*w - 24 = -4*d. Let b(i) = -309*i**2 + 43*i**2 - 125*i**2 - d*i**2. Let c(s) = 2*s. Give c(b(n)).\nAnswer: -794*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 671860157 to the power of 1\/3, to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 4) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/45 of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, -22, 16, 116, 1 in decreasing order.\nAnswer: 116, 16, 2, 1, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -38.3 + -9.7. Let i = j + 53. Which is the third smallest value?  (a) -0.04  (b) 0  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.2 - -9.2. Let a = -5.5 + b. Let y = a + -0.5. Sort y, -5, 3\/8 in descending order.\nAnswer: y, 3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 + 4*r**2 - 4*r - 3. Let z = 0 + -3. Let c = -7 - z. What are the prime factors of x(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2096 + 6223\/3. Let j = -22 - x. What is the second biggest value in j, 3\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.21, 5, -1, -24.4, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 29*u + 2046 = 30*u - u for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7668 and 1633?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 122 - 120. Let t(q) = 303*q**2 + 301*q**2 + 297*q**2 - 900*q**a. Let h(i) = 48*i. Determine h(t(g)).\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*w - 16*w - 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a + 8. Let r be (1\/(-2))\/((-5)\/(-90)). Let q be t(r). Let g(w) = w**2 + 7*w + 5. Let j be g(-5). Sort j, 5, q in decreasing order.\nAnswer: 5, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the second derivative of x**7\/168 + 11*x**6\/120 + 21*x**5\/40 + 9*x**4\/8 - 9*x**3\/8 - 81*x**2\/8 - 4*x. Suppose u(i) = 0. What is i?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*a - 4641 = 23*a. Suppose -x + 48 = -108. Let j = a - x. What is the remainder when j is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 24*x - 2 - 52*x - 38*x)*(-13 - 12 + 4).\nAnswer: 2394*x - 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.95822659 to four decimal places.\nAnswer: 0.9582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 164\/6*-1*(-72)\/32*62\/93?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1365743831?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -5*h**2 + 70*h + 8. What is q(15)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + -1 + -1 + sqrt(68) + -1)*6)**2.\nAnswer: -432*sqrt(17) + 2772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 34456863\nAnswer: 1\/34456863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 4 = 3*x + 3*m, -4*x = -2*m - 26. What is the remainder when 11 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 14023 - -4?\nAnswer: 14032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15662*h**3*p - 6*h**2*p + h**2 + 2*h*p + 702188*h wrt h?\nAnswer: 93972*h*p - 12*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -2640664 < -2640664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1cd91 + -9a?\nAnswer: 1ccd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of j**3\/3 - 5*j**2\/2 - 5*j + 4. Let s be f(6). Let d(i) = 8*i**2 + i - 1. Calculate the remainder when d(s) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.05 in 12\/145, -1\/6, 1, 3\/4, 0?\nAnswer: 12\/145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90*v - 80*v = 50. Solve -5*d = -5*s - v - 20, -3*d + 4*s + 15 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*p**2)*(-1 + 1 + p) + 5*p**3 - 2*p**3 - 5*p**3 - 169*p + 169*p + 17*p**3.\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 4*l**2 - 24. Let q(i) = -i**2 + 5. Let c(j) = 24*q(j) + 5*z(j). Let o(s) = -5*s**2. Give c(o(f)).\nAnswer: -100*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) -333  (c) 1\/3  (d) -0.3  (e) 0.3  (f) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 501814 times -0.2?\nAnswer: -100362.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wiwiwwmwoliwiwwwy. What is prob of picking 1 l and 1 o?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -5.73 + -30.712944\nAnswer: -36.442944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that k**3 + 13*k**2 + 40*k = 0.\nAnswer: -8, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 5:53 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (12 - (-20 - 11)) + 22\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1.26  (b) -2.2  (c) 18  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes before 3:03 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -4)\/(-24)*7*(-96)\/224\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.19 and -18992676.\nAnswer: 3608608.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 PM and 9:32 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5.42 + 0.42. Let u(s) = s - 7. Let h be u(6). Let x be (-9 - h)*3\/6. What is the nearest to -1 in j, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 5*f**2 + 189*f + 11. What is the remainder when (-2)\/((-5)\/(470\/4)) is divided by l(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 1184*d - 4895. Is 284 a factor of x(32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1699, 1636, 1531, 1384?\n\"Answer: -21*c**2 + 1720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the first derivative of 1\/75*h**5 + 2 + 1\/900*h**6 + 0*h**2 + 1\/15*h**4 + 1\/3*h**3 + 0*h. Let u(v) be the third derivative of m(v). Factor u(j).\nAnswer: 2*(j + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, 1\/3, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 4*b - 11. Calculate h(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - 12. Suppose -33 + 41 = -4*r. What is the lowest common multiple of -2*r*(-27)\/z and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1\/(-2))\/((-3)\/6). Suppose 0 = 84506*y - 84544*y + 76. Sort n, y, -11 in descending order.\nAnswer: y, n, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 3*n = 3*k - 6, 3*k + 3*n = 3. Let i(x) = k + 4 - 3*x - 6 + 2*x. Let p(f) = 2*f - 4. Suppose 0 = 2*d - 3*d + 3. What is d*i(a) + p(a)?\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.8 + 3.81. Let k = -0.19 + 0.1. Let p = k - f. Put -2\/19, p, -0.6 in decreasing order.\nAnswer: p, -2\/19, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -3 + 0 + 8 + 9*b - 10*b. Let i(u) = 3*u - 14. Let j(t) = -t + 6. Let l be j(0). Calculate l*i(v) + 17*x(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 77*m**2 - 2*m - 1. What are the prime factors of o(-1)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 347709022 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 5*m = 238, -m - 77 = 3*w - 434. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 169501*u + 1512801*u + 523734*u.\nAnswer: 2206036*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 513 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 29266, 29777, 30284, 30787, 31286?\n\"Answer: -2*r**2 + 517*r + 28751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - 156?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*f**2 + 0*f**2 - f**2 + (0*f + 0*f - 3*f)*(-6*f - 3*f + 3*f) in the form d*f**2 + o + n*f and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (2*(-114)\/36 - 2\/3)\/(-1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4558 + 4606. Calculate the smallest common multiple of 804 and x.\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 455111 or 455140?\nAnswer: 455111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 5*j = 17, -h - 367 = j - 362 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -2*g + 24. Let y(r) = 9*r - 74. Determine 8*a(q) + 3*y(q).\nAnswer: 11*q - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = -0*k + 4*k, -p + 16 = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w - 6*w + 0*w)*(3*w - 2*w + 0*w) - 8*w + 8*w + 16*w**2.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*j + j + 10*j - 1680 = 1064 for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**2 - 1422*u - 168507.\nAnswer: -3*(u + 237)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**23*h**(-7\/10)*h*h**(-38)\/h*h\/((((((h\/(h*h**(2\/41)))\/h)\/h)\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(-3957\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**2 - 6*q + 1. Suppose -3*o - 93 = -3*u, 4*u + o = -2*o + 145. Let i = u - 40. Determine t(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t - 36 = -0*t. Let v be (1\/(-2))\/(t\/24). Let m(o) = -o**2 - 7*o - 2. Let f be m(-4). Solve -f = -3*q - v*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.36*-75.1723\nAnswer: 27.062028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes after 11:54 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, 4, -44?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 3*r - 22. What is v(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 59*v + 1554. Give c(-26).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (10\/(-6))\/(4\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 + 7*d**2 + 8*d - 12. Let a be z(-5). Put -14, a, -4 in increasing order.\nAnswer: -14, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13310889, 26621780, 39932671, 53243562, 66554453, 79865344?\nAnswer: 93176235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/(-15) + 128\/80. Solve -3*p - r = -11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:46 AM and 7:26 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3795, 3743, 3693, 3645, 3599?\nAnswer: 3555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(152) + (sqrt(152)*-1 - sqrt(152) - sqrt(152)))*-2*-6)\/(sqrt(56)\/(sqrt(7)*-2) + sqrt(8) - sqrt(80)\/(1*sqrt(10))).\nAnswer: 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2701869.\nAnswer: 3, 900623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.006?  (a) -0.64  (b) -3  (c) -1\/13  (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the second derivative of -b**7\/5880 - b**6\/560 - b**5\/140 + 3*b**4\/2 - 29*b. Let r(o) be the third derivative of t(o). Find y such that r(y) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -265, -403, -539, -673, -805, -935, -1063?\n\"Answer: k**2 - 141*k - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -5752 times -47922\nAnswer: 275647344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s = 2199 - 13607. Suppose 2*k + s = 4*r - 330, -r + 434 = -3*k. Is 40 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2.9  (b) -5\/2  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 11744*z - 34. Let m be l(25). Suppose -6*r - m = -8*r. Suppose 5783 - r = -5*s. What is s rounded to the nearest one thousand?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1\/(-7))\/((-148)\/3108). Which is the biggest value?  (a) -1\/6  (b) r  (c) -106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-2)*(1 - -11). Let g be 12 + 1*(-1 - 0). Suppose 3*w - g = -d + b*w, 0 = d - 4*w - 12. Solve 3*j = -j - d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -64335 + 177.478727\nAnswer: -64157.521273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 49 = -2*g, -5*k + 15 = g + 42. Let a = g + 25. Solve -4*x + a = -7*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -6*k + 2 - 6 - 3. Let t(c) = 3*c + 4. Let u(r) = -3*a(r) - 5*t(r). Let b(f) = 13*f + 5. Let g(j) = -4*b(j) + 18*u(j). Differentiate g(v) wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 654?  (a) -0.3  (b) 0.2  (c) 1  (d) -0.45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01272971 rounded to 5 dps?\nAnswer: -0.01273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fzefzizeffzffffzpz. Give prob of sequence ipze.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 56532796.04 rounded to the nearest one thousand?\nAnswer: 56533000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1112277466?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are 511 and 513 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 321\/4, 1\/5, -5, 5?\nAnswer: 321\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 33\/7 - (-12)\/42. Let 0 + 0*w - 5\/2*w**4 - 7\/2*w**r + w**3 + 0*w**2 = 0. What is w?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16\/7 - -62\/21. Let h = -26 + 29. Let t = -4\/37 + 110\/333. Put t, h, y in increasing order.\nAnswer: t, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:32 PM and 5:56 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.0809 and -2752255530?\nAnswer: 2752255529.9191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (98 - 91) + 1 + (-1 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -3.3, 857, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (13 + -4 + -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b + 44841567 + 33555433 = 0. Round b to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -20*w + 4. Let o be x(-1). What is the tens digit of o\/(-18) - (-124)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 149429390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = m - l, 5*m - 73*l = -70*l + 20 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/10 and 22\/3805.\nAnswer: 7610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 5, u: 7}. Give prob of picking 3 u.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 942 + -657. Suppose 21 + a = 6*z. Calculate the remainder when z is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/375 and 7\/160?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p + 8. Let v be s(-6). Let u = 19 - 3. Let c be 2\/(-6)*(1 - u). Solve 5*n = -b - 25, -c = -4*b + v*n - n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(297) - sqrt(297)*2)\/sqrt(9))\/(sqrt(704)*-2).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 350*l**3 - 2*l**2 - l. Let c be x(-1). Let s = c + 568. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3 + -1 + (5705 + -6)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -34 + 177\/5. Let m be 6\/21 + (-592)\/14. Find the common denominator of c and (-289)\/m - 2\/(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110*q = -73*q - 1480. Solve 6*w - q = -4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -952*q - 16 - 919*q + 1870*q. Let p(o) = 6*o + 80. Determine 3*p(c) + 16*v(c).\nAnswer: 2*c - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2017894, 2017938, 2017982, 2018026, 2018070, 2018114?\nAnswer: 2018158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -5*((sqrt(19)*4)**2*2 - sqrt(209)\/sqrt(99))*3.\nAnswer: -9119 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -18*z**3 - 2*z - 1. Give a(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -260 divided by 2237702\nAnswer: -130\/1118851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1863.2 and -550064.\nAnswer: -548200.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -87 - -215 - 111 - ((4 - 1) + 0)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-66)\/(-198))\/((-10)\/(-108)). Find u, given that f*u + 2\/5*u**3 + 12\/5*u**2 + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 290531664 divided by 144.\nAnswer: 2017581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u + 20. Suppose -2*i - 1 = 5, 4*i + 12 = -f. Let s be r(f). What is the units digit of (s + 3)*(4 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24438 is divided by 8082.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let h = -1110 + 1600. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2424126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6\/(-4))\/(-1)*327998\/33. Calculate the greatest common factor of 17 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -9*g - 142. Let s(w) = -7*w - 136. Determine -4*m(b) + 5*s(b).\nAnswer: b - 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (-3 - 3) - 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -8*n + 2. Give v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 - 370265947.\nAnswer: -370265946.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i = -5*i - 826. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 - 2 = 3*y. Suppose -18 = -4*v + r - y*r, 4*v + r = 22. Let q(x) = 13*x - 15. What is the tens digit of q(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**3 + n**2 - n - 1. Let k(q) be the third derivative of -q**4\/6 - q**3\/3 - 12*q**2. Calculate 2*d(o) - k(o).\nAnswer: 2*o**3 + 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2))**(-3\/4)\/(v\/((v\/v**(-10))\/v)*v\/(v\/(v**(6\/5)\/v*v))) assuming v is positive.\nAnswer: v**(93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2464951 a multiple of 977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*b + 38 = 16*b + u, -b + 7*u - 2 = 0 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 105 - (16 + -59 + 111)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 23495343 to the power of 1\/2, to the nearest integer?\nAnswer: 4847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**3 + 6*c**2 + 4*c - 3. Let r be k(-5). Let w = -33 - -12. Let h = 35 + w. What is the greatest common factor of h and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 335*z**2 + 88*z + 553. Is f(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 197 + -117. Suppose -i = 7*n - 2*n. Is 5 a factor of ((-4)\/n)\/(4\/592)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:32 PM and 8:09 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1110044 + 169928. Suppose a = s - 630028. What is s rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -63 * -10.3.\nAnswer: 648.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 741 a factor of 883766247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -13.91842194 to three dps.\nAnswer: -13.918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 80 divide 6821989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -19 and 12.\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 12\/47, -1, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 367*h**3 - 3626*h**3 - 2468*h**3.\nAnswer: -5727*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 406 + -407. What is the nearest to w in -3\/19, 5, 0.1?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 1392 = -3834. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.6 + -1. Let b = 44 + -47. What is the closest to -0.1 in x, b, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.4 - 0.9. Let w = -163 - -20. Let o = 143.2 + w. Which is the nearest to o?  (a) m  (b) -1\/6  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -314 - -312. Sort 0, -4, a in increasing order.\nAnswer: -4, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 23*b - 688. Let d be h(30). Solve 0 = -p + d*p + 3*c + 3, 3*c + 9 = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 - -10. Let u be -4 - (-21)\/h*-2. Let n(o) = -o**3 - 12*o**2 - 10*o + 5. Determine n(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 27 = -13. Let s = i + 42. What is the remainder when (-346)\/(-8) + (-6)\/24 is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7112*y - 7335*y = -2453 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*v**3*w + v**3 - 152768*v**2*w - 15*v**2 - v + 122 wrt w?\nAnswer: 2*v**3 - 152768*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -74\/171 and 28\/6441.\nAnswer: 19323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((1 - 1) + -3)\/((-300)\/40). Which is the nearest to -2?  (a) d  (b) 7  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -111 + 116. Solve -2*j = -r, 0 = -3*j + 2*j + 3*r + d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -6*(-15)\/24*2\/(-18). Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x**4 - 570*x**3 + 19285*x**2 - 172380*x + 416160 = 0 for x.\nAnswer: 4, 8, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*u**2 + 10*u**4 - 11*u**4 + 3*u**2 - 3*u**5 + 4*u + 6*u**5 wrt u?\nAnswer: 180*u**2 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**3 - 59*a**2 - 74*a - 18. What is the thousands digit of f(61)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.7 - 0.6. Which is the nearest to q?  (a) -5\/3  (b) 1\/5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -859, -1305, -1737, -2149, -2535, -2889, -3205, -3477?\nAnswer: -3699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1540010760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8328 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**2 + n - 1. Let u(r) = r**3 - 11*r**2 - 8*r - 15. Let h(o) = 3*l(o) - u(o). Let s be h(9). What is the greatest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 16*j - 2758391 = -12*j, -j - 1655029 = -3*p. Let a = -70325 - p. What is a rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 9 = 50. Let c(w) = -w + 2. Let s be c(5). What is the remainder when k is divided by 4*s\/(-4) - -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 155 = -193. What is the remainder when s is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 + 9*t**2 - 7*t - 6. Let l be c(8). Suppose 46 = -l*x + 144. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1220910\/40*((-264)\/(-18))\/11?\nAnswer: 40697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xfjx when four letters picked without replacement from xhjxxxxhjffjx.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - -2 - (-4 + 7 + -8 - 7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*t = -93*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1157143*k**4 + 1157216 wrt k.\nAnswer: -4628572*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*a, -4 = -j - 3*a + 7. Calculate the remainder when 4 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/15)\/(1\/(-15)*2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -149 + 37b?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x\/(x**(6\/11)*x)*x*x*x*x\/((x\/(x*x**(-2\/31)*x*x)*x)\/x)*x*x assuming x is positive.\nAnswer: x**(2520\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -2661 at least 316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**3 - 7*d**2 - 2*d + 41. Let u be b(-6). Suppose -9*l + u = -1. Let n(f) = 41*f + 3. Is 22 a factor of n(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20207.8 nanoseconds to seconds.\nAnswer: 0.0000202078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -400 - -279. Let k = h + 141. Calculate the highest common divisor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5529*j**3*t**2 + j**3*t - j**3 - 581*j**2*t**2 - 14*t wrt j.\nAnswer: 33174*t**2 + 6*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2\/5 + 144173744*m\/5 - 28834749.\nAnswer: (m - 1)*(m + 144173745)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2772160?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**3 + 11*r**2 + 18*r + 1. Let p be u(-9). Let c(w) = -3*w - 2. Let z = 0 + -1. Let g(s) = s**2 - s. Calculate p*g(x) + z*c(x).\nAnswer: x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*(f*f**(2\/13))\/f*f)**(-1\/45)\/((f*((f*f**(-21))\/f)\/f)\/(f**(-8\/5)*f)) assuming f is positive.\nAnswer: f**(11906\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (26\/(-1768))\/((-27)\/108).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 - -5. Suppose -i*q + 5*q + 4*o + 1 = 0, 5*q = -2*o + 17. Let t = q + -2. Solve p + t*p + l - 22 = 0, -2*p + l = -8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*j**2 + 50*j**2 + 866*j + 136*j.\nAnswer: -j**2 + 1002*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.09 in -1\/3, -435, -0.2, -0.3, -0.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00090921 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-3620)*((-8040)\/90 - -86)?\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sfy when three letters picked without replacement from {f: 3, j: 1, n: 1, h: 2, s: 3, y: 2}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, -2\/9, 5, 15.3, 0.3, 4\/21 in descending order.\nAnswer: 15.3, 15, 5, 0.3, 4\/21, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-6)\/39 + (-1772)\/(-26) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 8\/4 - (-2 - 1). Suppose -7*m = -u*m - 20. What is the remainder when (-74)\/3*114\/(-76) is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 30392 - -5?\nAnswer: 30397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**18\/q)\/q**(-6\/17))**(-39) assuming q is positive.\nAnswer: q**(-11505\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9443?\nAnswer: 7, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1\/3  (b) 5  (c) 10  (d) -5  (e) -2  (f) 1099\/2  (g) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (2 - 1) + (12 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -12005434 and 0.4.\nAnswer: -4802173.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2*o**2 + 0)*(-4*o + 5*o - 4*o)*(8 - 28 - 18).\nAnswer: 228*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + 4*y + 15 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((s*s\/(s*s**(2\/3)\/s))\/s)**(-2))**(1\/14))**18)**8 assuming s is positive.\nAnswer: s**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 107 = 22*r - 25 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the first derivative of -43*g**2\/2 - 18*g + 17. What is the tens digit of f(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96790028 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.66*-21611.\nAnswer: -14263.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*(0 - (-3)\/20)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = -5*t - 7, 2*t - 2 = -2*b - 2*b. Suppose 5 = b*c + 1. Suppose 1 = c*x - 1. 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 second derivative of 8*n*x**3 - 14*n*x**2 - 1991*n*x - 2*x**2 wrt x?\nAnswer: 48*n*x - 28*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -445 = -71*m - 18*m. Solve 0*r + 25 = -m*r, h + r + 7 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 - 14 + 9*a)*(3 - 3 + 4*a)*(3 - 3 - 2*a**2).\nAnswer: -72*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -241, -1721, -5743, -13579, -26501, -45781?\n\"Answer: -212*o**3 + o**2 + o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4237779*f**2*u**5 - 2823*f**2*u**2 - f**2*u - 1577*f*u - u**5 wrt u.\nAnswer: 254266740*f**2*u**2 - 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 298, 333, 374, 421?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00037133 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -178 * -533.\nAnswer: 94874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4897?\nAnswer: 59, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:52 AM and 7:28 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4\/9)\/(95\/171). Which is the closest to -8?  (a) g  (b) -0.1  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -h + 146, -3 = 2*h - 5*h. Calculate the highest common factor of 261 and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 12 = 4*g, 0 = 3*g + 31 - 43. Solve -13 = 5*q + 3*p, 33 - 7 = -a*q - 5*p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 21 = 3*r, -12*i = 3*r - 10*i + 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 159 + -233. Let o = k - -78. What is the highest common factor of 32 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 29*b**2 - 5*b + 2. Let p be 9\/6*28\/21. Let t(q) = 14*q**2 - 2*q + 1. What is p*l(n) - 5*t(n)?\nAnswer: -12*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*j**5 - 184*j**4 + 336*j**3 - 72*j**2 - 68*j = 0.\nAnswer: -17, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*n**4 + n**3 - n**4 + 27*n + 0*n**4 + 19 - 18 as y*n**3 + p*n + m*n**2 + t + d*n**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(17))*-5 + -2)**2.\nAnswer: 70*sqrt(17) + 474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -14*i + 26*i + 3*i**2 + 2 + 10*i + 6*i. Determine s(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 1*((sqrt(432)*1*1)**2 + (-3*sqrt(48))**2*5).\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 15975505 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 287 - 18. Let c = -43 + p. Suppose -4*w + 2*w = -c. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g + 2*g. Suppose 3*h + 3*q - 39 = g, -4*q + 2*q - 64 = -3*h. Let n = -1 - -3. Solve i + i = 5*t - h, -12 = -4*i - n*t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7960 * 1.\nAnswer: 7960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 <= -8\/128731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 20*i = -19*i - 1, 4*q = 3*i - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -52 - (20 - 35) - (-13 - 4) - -129\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 13+-35936076.45\nAnswer: -35936063.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/1398950 and 53\/899325.\nAnswer: 12590550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 6) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 124\/4 - 3\/(-1). Suppose 0 = i + 5, 0 = -x + 5*x - i - 21. Let j be g\/(-1)*(-2)\/x. Solve -5*u + j = 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 5, 1\/3, 120?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -29*w + 21. Let g be l(9). Let o be (g\/20)\/((-4)\/10). Solve -3*t + 7*k = 2*k - o, -4*t + 4*k = -32 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.1  (b) -0.2  (c) -580  (d) -8  (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o - 3. Let f be i(-5). Let a(p) be the first derivative of -1 + 4 + p**f - 4. Let h(k) = -k. What is a(h(l))?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*q**3 - 1 - 3*q - 3*q**3 + 4*q**3 + 2*q in the form k*q**3 + g + b*q**2 + l*q and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -3  (b) 6  (c) -0.4  (d) -6  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -118, -113, -106, -97, -86, -73, -58?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33629 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 3*w + 4 = -11, 51 = -3*n - 3*w. Let l be (-10 + (4 - 3))\/(n\/408). Calculate the highest common factor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, v: 3, c: 3, q: 4, t: 3, n: 1}. Give prob of sequence qc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 + 5*3\/5 + -3. Let w(y) be the third derivative of 0 + 0*y**3 - q*y**2 + 0*y - 1\/24*y**4 + 1\/15*y**5. What is the second derivative of w(v) wrt v?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 83.949 - -0.051. Let z = 37 - n. Let r = z + 47.07. Which is the third biggest value?  (a) -2\/9  (b) r  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 + 9*s**2 + 9*s + 14. Let y be k(10). Suppose -37*p + y = -36*p. Solve p*h + 13 - 35 = 2*q, -2*q + 3*h - 18 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -157\/1560 and -113\/1508.\nAnswer: 45240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a - 7. Let l(o) = -1. Let m(w) = 21*l(w) - 3*u(w). Let i(x) = -5*x**2. What is m(i(n))?\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 966683 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -95782683 divided by -3.\nAnswer: 31927561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 1 + ((-32 - -3) + 23 - (0 + 58))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -29 - 27 + 59 - 135*r**2 + 284*r**2 - 142*r**2. Let h(m) = -79*m. Calculate h(o(x)).\nAnswer: -553*x**2 - 237","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - 20 - (-37 - -6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -371*s**2 - 22*s - 8. Let z(t) = -11*t + 46. Determine z(p(h)).\nAnswer: 4081*h**2 + 242*h + 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 4) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 87\/4 of a litre?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + 56*p = 61 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -93 (base 13) to base 15.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r + 3*r - 8. Suppose -3*k = -4*h + 26, r*h - 10 - 2 = k. Put 5, k, -4, -1 in descending order.\nAnswer: 5, -1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -cb (base 16) in base 13?\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*p - 3*p + 18 + p.\nAnswer: -2*p + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -154 (base 6) in base 4?\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 74\/14 + (-3)\/((-42)\/(-4)). Let f be 1\/(-2) + (-5045)\/(-10). Let b be (-426)\/f + (-3)\/(-4). What is the nearest to -2 in -1\/2, h, b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the first derivative of -5*z**2 + 151*z - 148. Let c be a(15). Put 3, -16, c, 5 in descending order.\nAnswer: 5, 3, c, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g - 1. Let n be j(-1). Let a(f) = 42*f + 33*f + 3 - 69*f. Determine a(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b and 1 r when four letters picked without replacement from {v: 1, o: 1, f: 1, b: 4, r: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-10)\/4)\/(1\/(-2)). Suppose 31 = -5*c + 3*z + 111, k*c - 80 = 2*z. Calculate the lowest common multiple of 2 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 213253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of -1\/3*c**3 - 1\/6*c**4 + 1\/5*c**5 + 1\/3*c**2 + 0*c + 124. Factor y(o).\nAnswer: o*(o - 1)*(o + 1)*(3*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the first derivative of -y**4 + 30*y**3 + 75. What is the third derivative of m(g) wrt g?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 4*n**2 - 14*n. Determine x(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -953 + 893. Let q be (-86)\/r - 125\/150. What is j in 7\/5*j**2 - 7\/5*j**4 + 1\/5*j**3 + 2\/5*j**5 + 0 - q*j = 0?\nAnswer: -1, 0, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -1 - 3*q + 16*q + 98*q**2 - 101*q**2. Let z be m(4). List the prime factors of ((-460)\/15)\/((-1)\/z - 0).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*i**2*z**5 - 2*i**2*z**2 + 26109*i*z**4 + 16700*i*z**2 wrt z?\nAnswer: -120*i**2*z**2 + 626616*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2004 is divided by 35.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 417.4 rounded to the nearest 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 11 + d?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -22 - -23. Calculate the remainder when 53 is divided by -4 - (u + -89)\/4.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + 1. Suppose l = -4*z + z + 21. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 2, 3\/7, -0.3, 389?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18087212698 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1\/1 - -1) + 4. Let i(f) be the third derivative of 7*f**4\/24 - 5*f**3\/6 - 3*f**2. Is i(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67853 is divided by 263?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**3 + 7*g**2 + 1. Let p(i) = -i**2 - i. Let m be ((-12)\/(-48))\/((-27)\/12 - -2). Let q(s) = m*b(s) - 4*p(s). Calculate q(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 26 * -165.83.\nAnswer: -4311.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*b + 14*b - 12 = 5*v, -v - 14 = -5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 408 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b**2 + b**2 + 0*b**2)*(2964*b - 1479*b - 1483*b + 396).\nAnswer: 4*b**3 + 792*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vp when two letters picked without replacement from {p: 3, m: 6, v: 8}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 11637507433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 976, 970, 964, 958, 952, 946?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 403483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + u - 3, -2*f + 2*u + 22 = 3*f. Let q(h) = 7*h**2 + 6*h - 2. What are the prime factors of q(f)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -11*p**2 + 1178*p - 112. Give a(107).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 92*d + 21*d + 3*d - 4*d + 6*d.\nAnswer: 118*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*m - 13*m - 12 - 52 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -580.5 - -545. Let v = 7 + -42. Let i = v - r. Which is the closest to 1?  (a) -2  (b) i  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes before 6:25 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**2 + 5*l - 6. Suppose 2*v - 3*a = -7, -3*v + a = -6*v - 27. Let d be c(v). Solve -5*w - d - 2 = 5*g, 5 = -5*g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44 - 51*c**2 + 44.\nAnswer: -51*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31 + (13 - 20 - -24 - 7) - 11.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, d: 3, m: 2, a: 5, b: 6}. What is prob of picking 2 b?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does -42564 = -1\/44919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1206*s**3 - s**2 + 3*s - 6?\nAnswer: -7236*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10998 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the second derivative of n**4\/6 - n**3\/3 - 47*n**2\/2 - 57*n. Let l(w) be the first derivative of u(w). Let a(k) = -11*k + 7. Give -2*a(s) - 7*l(s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.03 - -0.03. Let h = i + -3. Sort -0.5, h, -3.\nAnswer: h, -3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0  (b) 1  (c) -3\/14  (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.78 - 0.22. Let s = -0.8 - 0.2. Put -3, s, u in decreasing order.\nAnswer: s, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 2 x when four letters picked without replacement from {x: 7, u: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -135, -1, 1 in descending order.\nAnswer: 1, -1, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22232873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 29404\/10305 - 2207\/2061. Let c = 4\/229 + f. Let z(o) = -2*o - 52. Let a be z(-24). Is a < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 4 + 9*m + 2*m**2 + 2*m**2 - 3*m**2 + 0*m**2. Let l be t(-9). Suppose -l*x + 36 = -0*x. Solve b + x = -2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -26 + 17. Let d = -10 - m. Let i = 1.03 + d. Round i to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(126)*-2*-3)\/(sqrt(7)*-2*-5))\/(6*sqrt(30)\/(sqrt(35)\/sqrt(28))).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**(-1\/2))**(-22)*(s**2)**50)**(-14) assuming s is positive.\nAnswer: s**(-938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, 0, -3.\nAnswer: -15, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21873134.\nAnswer: 2, 29, 377123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -88*v**5 - 2*v**4 - 187*v. Let a(f) = 44*f**5 + f**4 + 93*f. Let q(b) = -5*a(b) - 3*l(b). What is the second derivative of q(o) wrt o?\nAnswer: 880*o**3 + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 7\/6 of a hour?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 686661419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1854 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*b**5 + 81530*b**4 - 443169890*b**3 + 803171364700*b**2 - 801842262625*b - 1605456878750 = 0. Calculate b.\nAnswer: -1, 2, 5435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1.4  (b) -5  (c) -2.6  (d) 2  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -222*p - 4549 = -3*i - 224*p, 5*i + 2*p = 7587. Does 31 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1019159\/5 - 206930. Let w = 3087 + o. Is w >= -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*m + 35*m = 567. Calculate the greatest common divisor of m and 711.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -3*q**2. Let n(k) = k + 1825 - 1825. Let j(f) = -32*f - 27*f + 5*f. Let s(v) = 3*j(v) + 189*n(v). What is s(o(u))?\nAnswer: -81*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:49 AM and 4:14 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 21300 and 636.\nAnswer: 1128900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-3)*351\/18. Let z = 23 - s. Suppose 2*c + 2 = i - 0*c, -4*i = c + z. Sort i, 0, -5.\nAnswer: -5, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 55546283 = 111092563\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, -4, -3, -2, -22 in ascending order.\nAnswer: -22, -4, -3, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the first derivative of -2*h**2 + 25. Let v(f) = -4*f**2. Calculate y(v(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of (((-176)\/(-20) - 4) + -2)*95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32 is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*q + 11*p + 216, 0*q - 1721 + 914 = -4*q - 5*p - 915 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*o**2 + 9 + 19 - 34 + 1 + 6*o**2 + 13*o**2.\nAnswer: 4*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2003, 8213, 18523, 32933, 51443, 74053, 100763?\n\"Answer: 2050*b**2 + 60*b - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 2*y = 3*y - 133, 0 = -5*d + 3*y + 245. Let g be 9\/12*(-2 + d). Calculate the highest common factor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*n + n - 2*n)*(5 - 4 - 2) + 1923*n + 933*n - 534*n to the form z*n + x and give z.\nAnswer: 2319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4.33 - -4.53. What is the nearest to 1 in 41, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 25 - 10. Let p = m - 11. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * -0.53.\nAnswer: 2.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 - -100100100111010101?\nAnswer: 100100100111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 58162.19mg?\nAnswer: 0.00005816219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 4*l. Let f(t) = -17*t + 6. Let n = 149 - 136. Let z(g) = -37*g + 13. Let i(o) = n*f(o) - 6*z(o). Calculate y(i(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -50097*k**2*x**3 + 17636*k**2 + 6*k*x**4 - x wrt x.\nAnswer: -300582*k**2*x + 72*k*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 828*c - 6629. Give g(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 9 = -h - 1, 0 = 3*v + 3*h + 12. Let f(x) = -x**2 + 9*x - 3. Let i = -14 - -23. Let w be f(i). Which is bigger: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -211 + 214. Differentiate -31*q**y + 74 + 85*q**3 + 112*q**3 wrt q.\nAnswer: 498*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 653 is divided by 112.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53713443.\nAnswer: 3, 7, 79, 32377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-50)\/1*12\/(-24). Let z be ((-5)\/g*2)\/((-1)\/5). Which is the nearest to 2\/11?  (a) -0.4  (b) 1  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 4*g - 14. Let v be f(4). Let w(z) = z + 1. Let t be w(-3). Sort -3, t, v in increasing order.\nAnswer: -3, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 4*g = 3*u - 9, 21982*u - 21984*u - 9 = -3*g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 35.2756 * -8\nAnswer: -282.2048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of -57.151 and -140.\nAnswer: -197.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**2 + 2*b + 7. Let v be o(-2). Suppose -a = -v + 4, 3*d = a + 27. Solve -q - d = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 149067643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -3*g - 5. Let f(q) = 3*q + 4. Let u(x) = 5*f(x) + 4*v(x). Let o(w) = -w**2. What is o(u(p))?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -c (base 15) in base 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2 - 8*o**2 - 23 + 3*o**2 - 14 + 9 - 26*o**3. Let x(h) = h**3 - h**2 + 1. Let g(t) = -m(t) + 4*x(t). Differentiate g(y) wrt y.\nAnswer: 90*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1211073319 to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12102348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20.09 + 0.09. Let v = 254.9 - 255.2. Which is the second biggest value?  (a) m  (b) v  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 104380 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 7*s**2 + 189*s - 72. Let a be q(-27). Which is smaller: -77 or a?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 4, -3, -3\/1981?\nAnswer: -3\/1981","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10497941.\nAnswer: 1201, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 1:22 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2465104*i**2*z**3 + i*z**3 + 2*i + 39*z**3 - 205*z**2 - 7*z wrt i.\nAnswer: -4930208*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 32654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(76)*2)\/(sqrt(484)*1 - sqrt(4)))**2.\nAnswer: 19\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.19798 rounded to 2 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2306 - 858 - 788 - 2*m.\nAnswer: -2*m + 660","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/27 - (0 + 0). Let x = 1077 + -507. Let i = -570.1 + x. What is the closest to i in j, -40, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10000100 (base 2) in base 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -5*a + 20, -5*c = -7*c. Let w be (1 + 0)*(-3)\/(-3). Sort 3, a, w in decreasing order.\nAnswer: a, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1018.7, 57, 0.2?\nAnswer: -1018.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, 3\/5, 2\/33, -0.5, -0.19 in increasing order.\nAnswer: -0.5, -0.19, -1\/6, 2\/33, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 62107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 36524 + -20445. Let n(o) = -5169*o + 76. Let i be n(-5). Let s = q + i. Round s to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -i + 5*k + 5, -4*k - 6 = -5*i. Let l be 1\/(-4) + (-45)\/(-20). Suppose 6*m - 16 = l*m. Solve 2*c + 6 + 0 = i*u, -m*c - 12 = -3*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 -0.553, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = 2*c + 32 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 4*y. Let b be -5*(-7)\/(70\/(-4)). What is x(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(-2) - (-135)\/(-2). Let z = o - -91. Calculate the remainder when 229 is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -5*s - 2, 4*s = 3*y - 65. Suppose 0*p + 3*b = p - 20, 3*p + 2*b = 38. What is the remainder when y is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-5) + 52592\/95. Let f be m\/3 - (-4)\/12. What is f rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/((-3)\/(-12)) - -4. Let a(b) = -b**3 - 10. Give a(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(4 + -1*(sqrt(637) + (6*sqrt(637)*-1 - sqrt(637)))*2)*-2.\nAnswer: 40 + 840*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:55 PM and 1:31 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -29\/8  (b) -5  (c) -304  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttttt. What is prob of picking 2 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/20)\/((-41)\/((-52275)\/(-10))).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -38*i - 169. Let p(y) = -7*y - 34. Calculate 2*h(a) - 11*p(a).\nAnswer: a + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -39 - -65. What is the smallest common multiple of 6 and n?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of -r**4\/114 - 2*r**3\/19 + 16*r**2\/19 + 74*r. Suppose b(x) = 0. What is x?\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 4*z - 780 = -q, -3*z + 1170 = -q. Let a(s) = -s**3 - 17*s**2 - 20*s - 25. Let i be a(-16). What is the greatest common factor of i and z?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and 38810.\nAnswer: 7762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 77*b + 158. Let a(f) = 153*f + 314. Let w(o) = -4*a(o) + 7*g(o). List the prime factors of w(-11).\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 60 - 1022\/17. Which is the third smallest value?  (a) y  (b) 0.4  (c) 0  (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**2 - 2*w - 1. Let n be a(3). What is the common denominator of 2\/160*n*-26 and 19\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g\/(g\/(g\/g**(-1\/3)))*g)**(1\/25)*(g*g**(-1))\/g*g*g*g\/(g**2*g) assuming g is positive.\nAnswer: g**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 40819*r + 91. Let o be n(-9). Is 2\/(-14) - o\/28 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 76305149 - 36005149. Round x to the nearest 1000000.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -2*h**2 - 6*h - 7. Let j(r) = 2*r**2 + 5*r + 6. Let o(l) = 6*c(l) + 7*j(l). What is the second derivative of o(i) wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {w: 4, l: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 4*s - 0 - 4, 0 = 3*w - 4*s. Let c(h) = 1 - 7 - w*h + 6*h**2 + 2. What is the least common multiple of 1 and c(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 394 is divided by 46?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 7 = -2*g. Calculate the highest common divisor of g and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven halves of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -441 - -599. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(90)\/(sqrt(54)\/(sqrt(6) + sqrt(54)) + sqrt(9)))\/(6*(sqrt(1620) + (sqrt(1620)*1 - sqrt(1620)))).\nAnswer: sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -449*b - 820 = -18331 for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1139430*m + 1139478*m + 96 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 79 + -157\/2. Let w(k) be the third derivative of -6*k**2 + 0*k + 0*k**3 - 1\/15*k**6 + p*k**4 + 0 + 0*k**5. Find the second derivative of w(q) wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 8:40 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*-3*(-1 + sqrt(76))*6.\nAnswer: -180*sqrt(19) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -262, -520, -776, -1030, -1282?\n\"Answer: i**2 - 261*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-29)\/5 + 41\/(-205)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-116))\/(130\/58435)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3 + 5*o**2 + 6*o.\nAnswer: o*(o + 2)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -772, -922, -946, -844, -616, -262, 218?\nAnswer: 824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h - 2*l + 500, h - 95*l + 93*l = 164. What is the highest common divisor of h and 5561?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(2\/63))\/n**(-9\/11) assuming n is positive.\nAnswer: n**(1282\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24051277 is divided by 2896?\nAnswer: 2893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 118919  (b) -1  (c) -56\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/23, 2\/21, 2\/3 in ascending order.\nAnswer: -5\/23, 2\/21, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, -0.09 in descending order.\nAnswer: 5, 1, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2998 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n + 5 = 10*m - 9*m, 2*m - 10 = -2*n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**2 - 6*c + 1. Let t be p(5). Let b be -10*t*(4 - 2). Suppose -5*u + 6*u = b. What is the greatest common factor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 7*y - 4*y + 2*y. Let w(h) = -44*h. Let z(g) = 28*p(g) + 3*w(g). Let n(m) = -m. Calculate n(z(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -76064 (base 8) to base 15.\nAnswer: -964b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 371804144.870000049 + -371804144. Let b = x + -0.87. What is b rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 - -34042111?\nAnswer: 34042103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1269353743.17 and -2.\nAnswer: -1269353745.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 519 + 347 - 1222 + 1445*r**3 + 356.\nAnswer: 1445*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 - 213*b**2 + 623*b + 1472. What is k(210)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1069 + 1062. Is k less than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*w + 204 = 190 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.382 - -0.182. Let o = q - -2.7. Which is the closest to -1?  (a) 1\/3  (b) o  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3961, 3961, 3959, 3955, 3949, 3941, 3931?\nAnswer: 3919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 305*l*z**2 - 3*l - 33*z wrt z?\nAnswer: 610*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 142613.94 to the nearest one hundred.\nAnswer: 142600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*t - 2*t - 19*t**2 + 5567 - 5570 in the form b*t + l*t**2 + m and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1990967.\nAnswer: 11, 47, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c**5 + 5632*c**4 + 62222*c**3 - 79108*c**2 - 135696*c = 0 for c.\nAnswer: -12, -1, 0, 2, 2827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -52*w + 130. Let p(c) = 77*c - 195. What is 7*j(r) + 5*p(r)?\nAnswer: 21*r - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -3051739*y. Let q(s) = s. What is h(q(t))?\nAnswer: -3051739*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -730, -727, -724, -721, -718, -715?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 2, 17, -2, -56, -1 in ascending order.\nAnswer: -56, -2, -1, 1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 - 6*g**2 + 8*g + 14. Calculate a(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b**2 + b**2 + 0*b**2 - b + 2710.\nAnswer: -b**2 - b + 2710","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47078392.\nAnswer: 2, 127, 46337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 15*u**3 - 2595*u**2 + 79980*u + 23067. Let c(b) = 17*b**3 - 2596*b**2 + 79980*b + 23066. Let t(w) = 3*c(w) - 2*d(w). Let t(x) = 0. What is x?\nAnswer: -2\/7, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -8. Let l(s) = -6*s**3 - 7*s**2 - 7*s. Let q(c) = -5*c**3 - 6*c**2 - 6*c. Determine k*l(h) - 7*q(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -396 - -392. Let x = 570 + -589. Which is the third smallest value?  (a) n  (b) 4  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19894 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 483 + -484. Sort 9, s, 2\/19 in decreasing order.\nAnswer: 9, 2\/19, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 1 = o, -3*o - 6*p + 7*p = -13. Solve o = -2*n + n, -5*q - 3*n - 24 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 415 divided by -6.\nAnswer: -415\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 + 7*y + 6. Let j be k(-5). Let p(x) = -3 + 7101*x - 3 + 1 - 7098*x. What is p(j)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 109.7 * 903.3\nAnswer: 99092.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the third derivative of d**5\/60 + d**4\/4 - d**3\/3 + 330*d**2 + d. Let r(s) = -s**3 - 7*s**2 - 7*s - 9. Let n be r(-6). Give f(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -2*s**2 + 4. Let o(j) = -3 + 29780*j**2 + 4 - 29781*j**2. Determine -g(l) + 5*o(l).\nAnswer: -3*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 702 is divided by 145?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(3\/7))\/q)**3\/(q**(4\/9)\/(q\/(q*q\/(q**4*q*q)*q)*q)) assuming q is positive.\nAnswer: q**(368\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**3 - 26*n**2 - 4*n - 43. What is k(-26)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 538 - 533. Let q(p) = 3*p - 3. Let g(a) = -3*a + 2. Determine m*g(c) + 4*q(c).\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1.106195, 7 in ascending order.\nAnswer: -1.106195, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -28902 * -4.97\nAnswer: 143642.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2749*f**3 - 320*f + 1 - 46*f**2 - 2751*f**3 - 1.\nAnswer: -2*f**3 - 46*f**2 - 320*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 32033 + -1130303?\nAnswer: -1032210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 27\/5582395?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -7) + (21 - (-16 - 4 - -23)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**2 + 12*o - 4. Let v be w(12). Suppose 5*g = -0*g + 50. Suppose -2*p = -k - 2*k - 19, 5*k = -p - g. Put v, p, -1 in ascending order.\nAnswer: v, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 (base 5) to base 8\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4824\/7 + 689. Which is the nearest to -0.1?  (a) y  (b) -5\/3  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -10*o**2 - 11*o - 11. Let t(y) = -11*y**2 - 13*y - 12. Calculate -6*r(j) + 5*t(j).\nAnswer: 5*j**2 + j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16*77\/(-7392))\/((-116)\/16).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 131 + -4533?\nAnswer: -4402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 89 - 15*(-5 - 1)\/18 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -16*g + 1630. Let k(f) = 42*f - 4891. Determine -3*k(n) - 8*y(n).\nAnswer: 2*n + 1633","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8343\/8 - -1043. What is the second smallest value in 0.5, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(80) - (1*sqrt(80) - sqrt(80)) - sqrt(80))\/sqrt(4))\/((sqrt(100)\/sqrt(5))\/sqrt(2)) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes after 11:42 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2427521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -2*i - 11. Let x(a) = -2*a - 12. Let z(c) = -3*u(c) + 2*x(c). Suppose 0 = -q + n + 5, 18 = 5*q - 3*n + 1. Suppose b = -q - 5. What is z(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 61097?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_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: Let r = 219 + -214. Suppose -2*v + r*b = -3, v + b - 3 = 2*b. Solve -3*z - 20 = -i - 7, 2*z + 4*i + v = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 2*a = 26, -5*z + 770*a - 766*a = 34 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**2 + 11*r + 13. Let f be y(12). Suppose -b = 4 - 5. Let l be 0*((-2)\/4 + b). Solve 0 = 4*s - 5*i + 27, 3*s - 4*i + f + 20 = l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -750 + 855. Let n(x) = -x**2 + 4 - 4*x - 3*x + 1. Let g be n(-5). What is the greatest common divisor of d and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 11, a: 2, v: 6}. What is prob of sequence avav?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - 1) + (-3 - (8 + -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = -6*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2010259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (18 - -19) + -44?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/24 and 71\/286?\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 4 + (-4 + (sqrt(931) + 0)*-1)*-4 + -2 + 0)**2 + 1.\nAnswer: 1008*sqrt(19) + 15221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 19953 = 2*l, -j = -10*l + 59494 + 40343. What is the highest common factor of 96 and l?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (-9 + 8)) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 121812652 is divided by 37138.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:49 PM and 9:46 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*l + 18048 = -23*l. List the prime factors of l.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -29*r. Let y(f) = 7*f - 1. What is y(a(o))?\nAnswer: -203*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-1\/9)\/s)**22\/(s**5*s*s)**(2\/67) assuming s is positive.\nAnswer: s**(-14866\/603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.8192074 months in millennia?\nAnswer: 0.00023493395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ojx when three letters picked without replacement from {a: 3, x: 4, d: 1, o: 3, j: 2, u: 4}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s**4\/7 - 66*s**3\/7 + 78*s**2 - 590*s\/7 - 1200\/7 = 0.\nAnswer: -40, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -20c16a (base 14) to base 13\nAnswer: -2ca945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/18)\/((-47)\/(-141))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 10*c**2 - 23*c + 23. Let w be b(1). Let a(i) = -8*i + 24. Let k be a(-7). Calculate the greatest common factor of w and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the third derivative of 0*q**3 + 0*q + 1\/4*q**4 - 2*q**2 + 0 + 0*q**5 + 1\/20*q**6. What is the second derivative of o(k) wrt k?\nAnswer: 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 13 - 19 + 8*v**2 + 9*v - 10. Let d be n(2). Calculate the greatest common factor of d and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**2 + 15*i - 26. Determine h(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 4*w = 792, -f + 2*w = -68 - 96. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**3 + 4*o - 3. What is t(3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 - 1. Sort d, -10, 1 in decreasing order.\nAnswer: d, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 49 - 20. Let q = -6 + 17. Suppose -7*c + q*c = 32. Calculate the remainder when k is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25168446 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 7 + 1 = 2*s, s - 7 = -b. Suppose -6 = -2*v - b. Suppose 0 = f + v*f. Is 3\/8 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 254\/639?\nAnswer: 254\/639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**8\/t)\/((t\/(t**(-12)*t))\/t))\/((t*t**(-10)*t)\/(t**(-2\/7)*t)) assuming t is positive.\nAnswer: t**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/93324 and 65\/369.\nAnswer: 11478852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + 46 + -141 + (-1 - -1) + -20.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 12*a**3 + 84*a**3 - 1.\nAnswer: 96*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 240 - 210.12. Let l = i - -0.12. Let g = 29.8 - l. Which is the third smallest value?  (a) g  (b) -4  (c) -10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -4*x + 5. Let y(p) = 9*p - 11. Suppose -l - 50 = -11*l. Calculate l*w(m) + 2*y(m).\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -12, -0.51, -8, -4, -2, 1?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2337048 divided by 3.\nAnswer: -779016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 29.7 + -36. Let n = 6 + r. Let q = 0.9 + -4.9. What is the second biggest value in q, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13 - -14. Let r(o) = -3*o**2 + 9*o**2 + 0*o**2. Calculate r(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 4*m**3 - 16*m**2 - m + 24. Let x(u) = -4*u**3 + 16*u**2 - 24. Let d(q) = -4*t(q) - 5*x(q). Factor d(h).\nAnswer: 4*(h - 3)*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 8*h + 12 = -37 + 13, 4*h - 3*h = 2*h + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34288 is divided by 5695.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*12193.\nAnswer: -36579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 217426 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: List the prime factors of 1636821.\nAnswer: 3, 60623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (8\/20)\/((-2)\/(-20)). Suppose -o*b + 0*y + y = 5, -b = 4*y + 14. Let x = b - -12. Calculate the remainder when 28 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 308*r - 303*r + 190 = -5*m, 2*m + 4*r - 11799 = -11945 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 23887 + -24073. Which is smaller: d or 29?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 548*s**2 + 1. Let f(t) = 25*t**2. Determine f(o(d)).\nAnswer: 7507600*d**4 + 27400*d**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (7\/(-14))\/((-1)\/6). Let h be ((-27)\/(-2))\/q*2. Calculate the greatest common divisor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by 30056.\nAnswer: -1\/30056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 16 - (1 + -96)\/19. Solve -3*x + 3*t + 15 = 0, -32*t = -5*x - 28*t + b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of h**4\/4 + 82*h**3 + 10086*h**2 + 222*h. Factor j(r).\nAnswer: 3*(r + 82)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/6 + 11\/6. Let u = -544 + 559. What is the smallest value in u, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2999*q**3 + 110*q**5 - 177*q**5 + 66*q**5 + (q**5 + 0*q**5 - 3*q**5)*(-1 - 3 + 5).\nAnswer: -3*q**5 - 2999*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(17) - -1*sqrt(34)\/sqrt(2)) + sqrt(17))**2.\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-140)\/(-110)*4 + -5\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2781781 is divided by 131.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 87, 178, 269, 360, 451?\n\"Answer: 91*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 31, 130, 295, 526?\n\"Answer: 33*c**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2869*i*y*z - 699*i*y + i*z - 2*y*z - 3*y - 2*z wrt z?\nAnswer: -2869*i*y + i - 2*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 31 + 15 = 3*a, -36 = 4*y + 2*a. Let v be 56\/y - -3 - -3. What is the biggest value in -1\/7, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 25 = 5*a, -a - 1 = 4. Suppose 2*g - 27 - 5 = b. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57*o + 135*o - 69*o + 17*o**3.\nAnswer: 17*o**3 + 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**4 + 14*z**3 - 20*z**2.\nAnswer: -2*z**2*(z - 5)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h - 26 - 78 = 3*h. Calculate the remainder when 191 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(14)\/(-1*sqrt(7))*-6 + (5*sqrt(24)*-1)\/sqrt(12)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 114460979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -9*m**3 - 9*m + 9. Let x(v) = -14*v**3 - 14*v + 14. Let j be 27\/5 + 6\/(-15). Calculate j*x(i) - 8*g(i).\nAnswer: 2*i**3 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 181078 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*p**2 + 1 + 1 + 2*p**2 - p**2 + 0*p**2 - p**2 - 2*p**2 + 3*p**2 + p**2 - 5*p**2 + 3*p**2 - 11*p**2 + (0 - 1 + 0)*(-1 - p**2 + 1).\nAnswer: -14*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/3, 3\/10, -2.728, -265, 2\/15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 15024400117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.011, 66\/5, 1, -2?\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 251 is divided by 35?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 25840, 103381, 232674, 413767, 646708, 931545, 1268326, 1657099?\n\"Answer: 8*f**3 + 25828*f**2 + f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 315067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 5*t - 40 = 0, -5*k - 327 = 4*t - 322 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -5*o + 27, -5*o + 0*o + s + 19 = 0. Find the third derivative of -3*r**2 + o*r**5 - 3*r**2 + 4*r**2 wrt r.\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -95211749 + -0.03.\nAnswer: -95211749.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 + 480 = j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 23*y**2 - 42*y - 175. Let w be h(-5). What is w rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6080963887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 65100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 130, 275, 420, 565?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the second derivative of s**6\/3 + 5*s**4\/6 + 2*s. What is the third derivative of n(i) wrt i?\nAnswer: 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 2 + 8 = 0. What is the units digit of (-5)\/n*(-132)\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10115 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 5*u, 2*u - 6 = -3*g + 17. Suppose -g*v + 0*v = 0. Which is smaller: 0.3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes before 11:21 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the third derivative of 0 - 16*v**2 + 1\/6*v**3 - 1\/24*v**4 + 0*v. Let y(t) = 2*t - 3. Give -4*f(a) - y(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 15*p**3 + p**2 + 5*p + 1. Calculate g(2).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 105 + 0 + -5*20\/25. What is the derivative of 50 - a - 45 - 55 + 113*g**4 wrt g?\nAnswer: 452*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 441 = 2*i + 3*m, -4*m - 253 = -3*i. What is the remainder when 32 is divided by i\/5 - (-6)\/(-15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 241979775?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1550 from 160.646.\nAnswer: -1389.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 44?  (a) -11  (b) -3\/7  (c) 0.7  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3\/(-5) + 4598\/5 + 4 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 7, 0, 3, 2, 663 in increasing order.\nAnswer: -5, 0, 2, 3, 7, 663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -1 - 2. Suppose 0 = b - i*g - 5, -7*b + 25 = -2*b + g. Suppose 6 + 19 = b*o. Solve r = -0*r - o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/15 of a hour in seconds?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 22\/(-4)*40\/(-110). Let b = t - -112. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4611 - 4598. Solve 0 = 4*w + w - 4*a - t, -4*w + 2*a = -8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g - 3*g + 6*g + (0*g + 4*g - 2*g)*(-4 + 4 - 2) + 0*g + 0*g - 2*g)*(-1628 + 890 + 939).\nAnswer: -1005*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1209.95*-1\nAnswer: 1209.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.35 + -0.05. Let q = 0.2 - i. Let z = 3 + -2. Which is the nearest to q?  (a) 0  (b) 1\/6  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vnnvvpvs. Give prob of sequence sn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -11947900 to the nearest 100000.\nAnswer: -11900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1779 + -91119?\nAnswer: -89340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 683 + -668. Suppose 2*z = -12 - 8. Let p = z + x. Solve -3*f + 1 - 2 = 2*h, f + 3*h + p = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -14*j - 3 - 10*j - j**2 + 21 + 35*j. What is z(14)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2\/(-12)*-5 - 2316683\/(-318)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.9933 and 24859.2.\nAnswer: 24858.2067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2*(-2)\/6*(-1233)\/(-548)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -144, 4 in descending order.\nAnswer: 6, 4, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-115)\/3 + (-1)\/(-3). Let w = j - 55. Let b = -69 - w. Solve z = 2*f - 3, -z + 6*z + 3*f = b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 31656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, 0.321, -129?\nAnswer: 0.321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/3*(-231)\/(-28). Suppose 20*z = p*z. Suppose 2*c - 13 - 1 = z. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-228)\/(-42) - 3\/7. Suppose 27 = -7*g + 4*g. Let z be 3\/g + (-4)\/(-3). Solve 4 + z = p*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00064426143 to five dps.\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 17\/(255\/2680) + 14\/(-21) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 3*w**3 + 5*w**2 - 9*w - 4. Let u(r) = -8*r - 11*r - 7 + 9*r**3 - 4*r**3 + 2*r + 10*r**2. Let n(h) = 7*f(h) - 4*u(h). Is n(5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4275 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(-4) - 4\/32*-282. Suppose 4*c = -5*p - a, -4*c + 3*p - 7 = 4. Let d(r) = 3*r**2 + 4*r + 1 - 3*r**2 + r**2. What is d(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1038412642, 1038412647, 1038412662, 1038412693, 1038412746, 1038412827?\n\"Answer: y**3 - y**2 + y + 1038412641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1008 - 978 - (-1 - -14).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 5*z - 10126, c - 1689 = 5*z + 1693. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 104.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the first derivative of -b**4\/4 + 5*b**3\/3 + 3*b**2 + 3. Let m be s(6). Suppose m*t - 7 = -t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 5 = -3*y. Let q be -5 + 9 + -3 + 5. Let r be (4 - y)*q - 0. Calculate the greatest common factor of r and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**3 - 33*s**2 - 68*s + 56. Determine h(-31).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -9 - (-36 - (-11 - -27))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + -17. Let g = -12 - n. What is the biggest value in -1, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**2 + 17*j - 16. Let a = 8 - -12. What is the least common multiple of a and t(10)?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -22, -17.4 in decreasing order.\nAnswer: -5, -17.4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 101113 (base 4) in base 15?\nAnswer: 4e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 3309*v**2 - 64*v + 416. Is x(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-8) - -1)\/((-2)\/(-1)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1968*z**2 - 11900*z\/3 - 184\/3 = 0. Calculate z.\nAnswer: -2, -23\/1476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -2*o. Let w(j) = -6*j**2 + 3. Let u be ((-3)\/(-7) - 213\/(-42))*-2. Let d(n) = 18*n**2 - 8. Let c(z) = u*w(z) - 4*d(z). Calculate c(m(k)).\nAnswer: -24*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6375253*f**3*i**2 - 128879*f**3*i - 22 wrt i.\nAnswer: 12750506*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 14*q**2 + 2*q - 2. Let h be 1*(-5)\/10*-4. What is the units digit of w(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -537 + -52b?\nAnswer: -a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -434403 (base 5) to base 10.\nAnswer: -14978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*f*k**2*q**2 - f*k*q + 2*f*k*u - 3*f*k - 64*k**2*u - 3*k*q**2 + k*q wrt k.\nAnswer: -6*f*q**2 - 128*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -20672 + 20671.95. Which is the second biggest value?  (a) -0.1  (b) q  (c) -714\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 168940?\nAnswer: 2, 5, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -9*w**3 + 83*w**2 + 233*w - 5. Let g(p) = 6*p**3 - 55*p**2 - 156*p + 3. Let l(j) = -8*g(j) - 5*h(j). Find the second derivative of l(m) wrt m.\nAnswer: -18*m + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8\/67963 + 20253766\/6728337. Is a greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 4*r = -3*b + 18, r - 2*b = -10. Let i be 1*(-1)\/(1\/(-4)). Let j be 0 + 0\/r + i. Calculate the highest common factor of 36 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the third derivative of 19*f**6\/60 - f**5\/60 + f**4\/24 + f**3\/2 - 4*f**2. Let p(d) be the first derivative of r(d). Is p(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/(90\/280) - 4)*45\/12?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -216 take away -105683?\nAnswer: 105467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/3870*3)\/(3*6\/54)?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3888 and 184356?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -4*p - 1. Let n(f) = 4*f. Let i(y) = -4*l(y) - 5*n(y). Give i(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 AM and 3:47 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 4 = 6*t. Suppose -t = -4*g, 2*g = -4*x - 0*g + 814. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from nnniniiniiiiiiinbi.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v + 3. Let n be u(-2). Let c(w) = w**2 - 5*w - 6. Give c(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/17, -1\/50, 1\/3, -1, -5 in descending order.\nAnswer: 1\/3, 2\/17, -1\/50, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 631281.9 weeks?\nAnswer: 6363321552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -64, -4, 2, -225 in ascending order.\nAnswer: -225, -64, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -592569338145 minus -272?\nAnswer: -592569337873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 0 + 2)*(2 - 2 + 2)*(2 + 1 - 4)*(7 - 28 - 8)*(-18*r**2 + 8*r**2 + 13*r**2) to the form w + t*r**2 + j*r and give t.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = -3*o - 5 + 1, -o = -4*v + 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 176 + a?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -579, -614, -653, -702, -767, -854, -969?\n\"Answer: -n**3 + 4*n**2 - 40*n - 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -180*g**3 + 515*g**3 - 336*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 462*j**2 + 48*j - 4. Let y(o) = 462*o**2 + 65*o - 5. Calculate 3*y(k) - 4*z(k).\nAnswer: -462*k**2 + 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -4*(-4)\/(-6)*3. Let v be (-2)\/(-3) - r\/6. Let y(p) = 6*p + 2. Let m(a) = -a. Let g(f) = 5*m(f) + y(f). Determine g(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**3 - 3*b**2 + 4*b + 6. Let t be 8\/(-1 + -1) + 0. List the prime factors of n(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -3, 101, -21 in increasing order.\nAnswer: -21, -3, -2, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-47544)\/(-9) + 10\/(-15). Suppose -2*y = 2*v + y - f, -12 = 3*y. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1355541 - 1074*q**3 + 1355541 + (q - 4*q + q)*(-2*q**2 - 4*q**2 + 5*q**2).\nAnswer: -1072*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13821, -55668, -125539, -223434?\nAnswer: -349353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((917\/(-2751))\/(2\/22))\/((-2)\/(-36))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -111 (base 2) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from dxdxpvcdmdpm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (1\/3)\/(13*(-1)\/195)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*w + 4*w - 18. Suppose 0 = w*d - 4 - 8. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cqhvccqhcq. Give prob of sequence cq.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*q = 74*q + 30 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 0, -2777 in increasing order.\nAnswer: -2777, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8 and 524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 672817131 to the power of 1\/2, to the nearest integer?\nAnswer: 25939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 29 = -10. What is the highest common divisor of k and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2162 + 3682. Is a\/32 - (-6)\/4 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3795176729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16 + 58 - o**2 + 57*o - 4*o**2 - 20*o - 40 to the form k + j*o**2 + x*o and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.873566 months in decades?\nAnswer: 0.04061305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 4039.474 to zero dps.\nAnswer: 4039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 293236227.\nAnswer: 5\/293236227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1687)\/1446)\/(1\/((-12)\/(-2))). Which is the closest to -0.04?  (a) 1  (b) 5  (c) f  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4874529505 a multiple of 574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13629.8 + 13630. What is the nearest to -0.3 in z, 16\/7, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 + -14. Let j be (-84)\/2*(-60)\/(-70). Let i be 54\/j*8\/3. What is the third biggest value in i, w, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2300 + -1110?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 5 - 1 + (7 - 4 - 2)*(7 - 2 - 3) - 3 + 0 + 1 + 0 + 1 + 2 + 0 + 3 - 2)*(h - h - h) + 2*h - 5*h + h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -4  (b) 0  (c) 3  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**3 - 5*d**2 - 7*d + 8. Let w be c(6). Let a = 5 - w. Find the third derivative of -2*s**2 - s**3 - s**a + 0*s**3 wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 59323.94l?\nAnswer: 59323940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 + 0 - (5 + -3). Let c be (3\/6)\/(i\/(-4)). Let r = -1.2 + 2.2. What is the closest to r in -2, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = -13*s + 8*s. Let q be (-26)\/(-7) - (-2)\/7. Suppose -3 = 5*u + 2*v - 0*v, -q*u - 4*v = 12. Solve -i + 1 = -3*c, -2*c - s = -3*i - u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15\/12065906 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-64)\/(-384)*9\/12?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1008) + -3)**2.\nAnswer: 72*sqrt(7) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 22 = -j, 20*x - 20 = 16*x. Suppose -n - 525 = -6*n. What is the highest common factor of n and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 2*l. Let w(n) be the second derivative of 0*n**3 + 0*n**2 + 7\/6*n**4 - 5*n + 0. Calculate x(w(t)).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 12, k: 3}. Give prob of picking 3 k.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1 + 1\/3*l**2 - 1\/3*l**3 + 5\/3*l.\nAnswer: -(l - 3)*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 253191309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 26649.5 to the nearest 100.\nAnswer: 26600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes after 4:32 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 523 divided by 2?\nAnswer: 523\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**4 - 2927*y**3 + 81368*y**2 - 568204*y.\nAnswer: y*(y - 2899)*(y - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2045912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18 - 3. Suppose 0 = 5*y + 5*c - 0*c, -y + u = -4*c. Determine b so that 1\/2*b**2 + 0 + 1\/4*b**y + 1\/4*b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*p**2 + 40229224 - 40229224.\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 4*h**4 - 5984*h**3 - 733708*h**2 - 727720*h = 0.\nAnswer: -113, -1, 0, 1610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1458 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**2 + t + 2. Suppose 0 = 11*g - 9*g. Let f be i(g). Let j be f*9\/(-6)*-1. What is the third biggest value in -4, j, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 957 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15340)\/6136*((-16)\/(-15))\/2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 27\/2 of a year?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6996?\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 30 = -j + 36, 5*n - 9 = -4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 99 is divided by 82.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxiz when four letters picked without replacement from {z: 8, x: 7, i: 1, k: 2, s: 1}.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -6*n**2 + n + 3. Let h be z(-2). Let k = 25 + h. What is the third derivative of 9*q**k + q**4 + 22*q**2 - 2*q**2 - 27*q**4 wrt q?\nAnswer: -624*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4ad4 - 84c?\nAnswer: -5542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 82 divide 21318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -2*z - 18. Let f(m) = m**3 + 6*m**2 + 7*m - 2. Let y be f(-5). Let q be s(y). Solve -u + q = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23 - 17 - (-5 - (-2 + -1)) - 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -46 + 552*x**4 - 2*x**3 - 551*x**4 + 0*x**2 - x**2 + 0*x**2 to t*x**4 + h*x + s*x**2 + z*x**3 + g and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 20, 4, 6161 in ascending order.\nAnswer: -4, 4, 20, 6161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 2\/3  (c) 1.3  (d) 2\/7  (e) 1  (f) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 1148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4*4\/(-28) + (-300)\/(-14). Solve 2*r + 4*i = -a, -5*r + 3*i + 13 = -3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, t: 2, l: 5}. Give prob of sequence tbl.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c*c*c\/(c**(-1\/2)*c)))**(4\/17)\/((c*(c**3*c)\/c)\/c*c\/(c\/c**(-2)*c)) assuming c is positive.\nAnswer: c**(-6\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0, -27, -1\/4, -2\/17, -3\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 527, 1, 2, -5, -4, 14 in descending order.\nAnswer: 527, 14, 8, 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 6139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from googggogoooo. What is prob of picking 2 g and 1 o?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -199250*p + 1 + 199176*p - 1.\nAnswer: -74*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most -2\/8841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 5*z. Let l be q(-1). Let h be 2\/l - (-28)\/45. Let a = -152\/105 - -4\/35. What is the third biggest value in -8, h, a?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, r: 19}. Give prob of picking 1 b and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*g**4 + 2717*g**3 + 31*g**2 + 793391*g - 4.\nAnswer: 48*g**2 + 16302*g + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/33 and -69\/17930.\nAnswer: 53790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 at most as big as 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.6 - 0.2. Let v = y - 2.7. Let b = 1351\/12 + -337\/3. Put v, b, 0.3 in decreasing order.\nAnswer: 0.3, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -2*z**4\/9 - 40*z**3\/9 - 8*z**2 = 0.\nAnswer: -18, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 88823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 298640 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 4. Which is smaller: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.0029 + 22.0971. Let f = 31.2 - m. Let a = 9 - f. Is 4 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3477*f = -3485*f + 64 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -34088*c**3 - 356*c**2 - 11*c wrt c?\nAnswer: -204528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 - 6. Let m = 13 + -15. Let y be 21\/a - (m - -4). Solve -3*j = -y*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1998 divided by 3\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 8 + -6 - (1 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -330 + -1?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1171585 = -269*r + 274*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4223 - 2093 - 722*j - 2130.\nAnswer: -722*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 79, 73, 67, 61, 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qzqzqdqqyddpycdd. Give prob of picking 3 z and 1 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 8834  (b) 2\/15  (c) 5  (d) 0  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h = -2*h. Suppose 2*n - 3*v + 4 = 0, 5*n + v + h*v - 7 = 0. Let s be ((-10)\/4)\/(n\/(-2)). Sort 3, s, -4 in descending order.\nAnswer: s, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 5*i**3 - 2*i - 15. Let r(l) = -4*l**3 + l + 14. Let v be (266\/(-57) - 2\/6 - -2)*-1. Determine v*r(g) + 2*j(g).\nAnswer: -2*g**3 - g + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 57 and 10.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 37495, -21, 9, -3.\nAnswer: -21, -3, 4, 9, 37495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from evecv. What is prob of sequence ecvv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6  (b) -2\/9  (c) -1\/5  (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 105*x - 100*x - 30. Let w(f) = -f**3 + f**2 + f + 1. Let l(y) = -4*y**3 + 6*y**2 + 7*y + 6. Calculate x*w(n) - l(n).\nAnswer: -2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 137099963093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/3)\/(-1)*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-850)\/(-6) + (-35)\/(-15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*y - y + 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 544.6697 litres to millilitres.\nAnswer: 544669.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -803.7 - -794.7. Which is the smallest value?  (a) v  (b) -0.18  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*t + 156 = 508. What is the remainder when 42 is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/908952 and 25\/1252.\nAnswer: 908952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 15689250500 rounded to the nearest one million?\nAnswer: 15689000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 214*b + 2013. Let c be m(-9). What is the highest common divisor of c and 1102?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 - 60?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (4 - (47 - 22)) - 91.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - -2. Suppose -3*l = 3*s - 15, 5*l = -24*s + 20*s + 23. Find the first derivative of -r + l - 1 - h**3 wrt h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + c - 5*y - 35 = 0, 0 = -2*c - y + 41. Suppose -c = -4*k - 5*g, -2*k + 0*g - 5*g = -10. Solve 0*s + k = -5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3.3, 3\/8, 0.035, -0.034 in descending order.\nAnswer: 3\/8, 0.035, -0.034, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 96947383?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 5*k = z, 4*z = -5*k. Solve 2*i = q - 2*i + 9, 2*q - 2*i = k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/(-2) - (-11 - -2 - 125). What is the highest common factor of 156 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.8 times 0.29\nAnswer: 0.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-3) - (-1)\/3*6542. Let z = n - 93. Let l = 8407\/4 - z. What is the common denominator of l and 69\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -2*p + 33. What is the remainder when 94 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*g = 65*g - f - 58, 5*f - 110 = 5*g. Let r be -2 - 4 - (0 + -1). What is the tens digit of (-808)\/g + (-3)\/r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 42 + 32*r**2 - 144*r + 142*r - 4*r**3 - 53*r**2 + (r**2 + r**2 - 3*r**2)*(-2 - 2*r + 2).\nAnswer: -2*r**3 - 21*r**2 - 2*r + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 6*s = -2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 8 = 3*n - 0*n, 0 = 4*z - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 - 87 + 58*u - 28*u + 3 - 32*u.\nAnswer: -2*u - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 109 = 4*g, 0 = 32*g - 36*g + r + 79. Solve -z + g = -s + 5*s, -z = -s + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/2*1\/(-5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -698 to the nearest 10.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 - 3.9. Let r = -3 + 3. What is the closest to m in -2\/5, -2\/9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 300*w**2 + 10*w + 91. Let u(k) = -150*k**2 - 4*k - 47. Let a(f) = 6*s(f) + 15*u(f). Find the first derivative of a(l) wrt l.\nAnswer: -900*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the third derivative of -l**5\/180 + l**4\/6 + 1003*l**2. Find w, given that i(w) = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4164383 a multiple of 1329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -22 - 86b634?\nAnswer: -86b656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -14094568 equal to -14094567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -2*c**2. Let x(n) be the third derivative of n**7\/2520 + n**4\/24 - n**2. Let i(t) be the second derivative of x(t). Give i(j(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*v + 1 - 1)*(-2*v**2 + 3*v - 3*v) + (-5 + 5 + 2)*(13*v**3 - 62 + 62) in the form i + w*v**2 + p*v + n*v**3 and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 44*n - 4. Let i be m(9). Suppose -7*p + 161 = -i. What is the third derivative of -p*z**6 + 180*z**6 - 86*z**6 - 12*z**2 wrt z?\nAnswer: 1800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(768)*1)**2 + 0 + ((sqrt(1617)*2)\/(sqrt(1331) - (-2*sqrt(1331) + sqrt(1331)) - sqrt(1331)))**2 + -1)*5.\nAnswer: 466975\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from zzztzttzzte.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -788*12\/7680 + (-558)\/(-465).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1582 - -2128. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 8:07 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**2 + 4*m + 177. Let q be a(0). Suppose -q + 71 = -2*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 129018, 129016, 129004, 128976, 128926, 128848, 128736?\n\"Answer: -y**3 + y**2 + 2*y + 129016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 318143431 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: Solve 183*m - 1355 = 39 + 802 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6452 a factor of 1922973436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000044472961 to 7 dps.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 333101 (base 4) to base 5.\nAnswer: 112144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 9*m**2 + 10*m + 6. Let f = 59 - 58. Let x(r) = 6*r - f - r + 4 + 5*r**2. Let b(u) = 6*v(u) - 11*x(u). Determine b(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/1*(15\/(-5) + 2). Suppose -6 = -p*h + 18. What is the highest common factor of 36 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -40 * 7.388\nAnswer: -295.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times 1486.21\nAnswer: -445.863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*w + 2 = -45*w - 5 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (8\/112*1324)\/(2\/14).\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from {s: 6, c: 1, j: 3, n: 1, m: 1}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*f - 2*f + 30*f**3 + 31*f**3 - 59*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3191*h + 13944 + 98841 - 12608 - 1256 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2766549157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 3*f + 24 = -f, 0 = 4*r + 4*f + 8. Let q = 0.05 - -0.15. Let i = 79\/2 + -541\/14. Which is the smallest value?  (a) q  (b) i  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 39 + -42. Let b be w*4\/(-24)*10. Let y(n) = n**2 - 2*n - 7. Let u be y(b). Solve -2*s = -u - 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of 5*g**2 + 2. Let k(r) = -11 + 34 + r - 23. Determine t(k(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -5*(2\/(-4) + (-6759)\/90). Suppose -28*i = -25*i - z. What is i rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 355137521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(2\/5)\/(o\/o**2)*o**(-2\/25)*(o*o**(1\/4))\/o)\/(o**(-2\/9)\/o*o*(o*o**4*o)\/o*(o**(-8)\/o)\/(o**(-7)\/o)) assuming o is positive.\nAnswer: o**(-1987\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -14528 divided by -47\nAnswer: 14528\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/5*i**2 - 912\/5 - 28*i.\nAnswer: 2*(i - 76)*(i + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jmmu when four letters picked without replacement from umummjuulj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -2*g + 22, -33 = -2*g - g + z. Calculate the highest common factor of 99 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqrrerr. What is prob of picking 2 r and 2 q?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 smaller than 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.133 + -0.03876.\nAnswer: -0.17176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.22 + 0.18. Let q = 16 - 11. What is the second smallest value in -3\/5, w, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*-1*sqrt(110)*-6*-5)\/((6*-2*sqrt(90))\/(4*(sqrt(9) - (sqrt(9) - (sqrt(9)*-2 - sqrt(9))) - sqrt(9)))))**2.\nAnswer: 440000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -10 * 1.595\nAnswer: -15.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 4*k - 249 + 782 - 261 - 259. What is x(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -155 smaller than -156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (36\/(-630))\/((-2)\/10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23192 + 4423 = 21*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 23.2, -4\/5, -1, -5, -891 in descending order.\nAnswer: 23.2, -4\/5, -1, -5, -7, -891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 506 + -504. Put -4, v, -3, -5 in descending order.\nAnswer: v, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 30\/701363 and 53\/431608.\nAnswer: 5610904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 54\/221 and 233\/(-55) - (2 - 26\/10).\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + (15 - (19 + 5 + -13) - 48)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/3*w**4 + 10\/3*w**3 - 9*w**2 + 0 - 12*w.\nAnswer: w*(w - 3)*(w + 1)*(w + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -373582 divided by -22\nAnswer: 16981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/((-40)\/(-15)))\/3.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4282799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -13506*v - 27035. What is f(-2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(85) + (sqrt(85) - ((sqrt(85) - (1*sqrt(85) + sqrt(85)))*2 - sqrt(85))))\/sqrt(5).\nAnswer: -4 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5549 and -0.2262.\nAnswer: 1255.1838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 225 + -255 - (0 + -3).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 8*r = 5*r + 9, 3*r - 17 = -5*c. Suppose -c*j - 4 = -2*v, 0*j = -4*j. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the second derivative of -a**4\/6 + 5*a**3\/3 - 4*a**2 - a. Factor w(x).\nAnswer: -2*(x - 4)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 3 + 2*h + 3 - 23*h + 7*h + 9*h. Let p(v) = -4*v + 5. Give -6*p(l) + 5*z(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 14*u + 4 - 5 + 0.\nAnswer: 14*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 11*m - 21. Let l(h) = 7*h - 14. Let a(q) = -5*j(q) + 8*l(q). Suppose 4*v - 26 + 2 = 0. Determine a(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1264.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -4*y**2 + y**2 + 255*y - 249*y - 1 - 8*y**3. Let l(x) = 15*x**3 + 5*x**2 - 11*x + 2. Give -6*l(f) - 11*r(f).\nAnswer: -2*f**3 + 3*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**2 - 13*x - 10. Let q(o) = 2*o - 1. Let s(a) = -b(a) - 4*q(a). Factor s(n).\nAnswer: -(n - 7)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m**3 + 5*m**3 - 3*m**3)*(m**2 + m**2 - 4*m**2) + 0*m**3 + 4*m**5 + 0*m**3 + 2*m**5 - 54*m + 54*m.\nAnswer: 10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -314613 (base 8) to base 6.\nAnswer: -2125215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**2 + 6 - 4 - 1)*(-3*l**2 + 0*l + 0*l).\nAnswer: 6*l**4 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*w + 756 = 40*w. What is the remainder when w is divided by 41?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16332 is divided by 606.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-945)\/(-6))\/21)\/((-6)\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -319.95735857 + 0.03745857. Let i = -275.991 - v. Let d = 44 - i. Round d to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -93 + 93. Let m(u) = u**2 - u - 1. Give m(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501435674 to the power of 1\/3, to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of -t**5\/20 - t**4\/6 + 29*t**3\/6 + 15*t**2 + t + 7. Factor v(o).\nAnswer: -(o - 5)*(o + 1)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6897025750 less than -86?\nAnswer: 6897025664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 125 by 113.\nAnswer: 125\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -4528 at most as big as -4531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2128)\/(-665)*(-385)\/(-2)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s, 7*a - 3*a - 32 = -4*s. Suppose f - 4 = -4*k + 4, 5*k - 59 = -3*f. What is the remainder when f is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 2*d + 12 = 0. Let n(y) = y**2 + 7*y - 4. Let g be (-3 - 9)*2\/3. Let k be n(g). What is the highest common divisor of d and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 31*s**2 + 13*s - 17. Is b(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 7:48 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10407, 25955, 51801, 93093, 154979, 242607, 361125?\nAnswer: 515681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 5 = f, f - 4*f - 2*o = 8. Let t be (1 + f)\/((-2)\/(-6)). Suppose 4*z = 1 - 5. Sort t, z, -4 in ascending order.\nAnswer: -4, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 631236.\nAnswer: 2, 3, 41, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w + w - 3155. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*n**4 + 2 - 2)*(5 - 1 - 2) - 7*n**2 + 7*n**2 - 4*n**4 + (8 - 8 - 3*n**3)*(0 + 0 + n) to r*n**4 + g*n + v + y*n**2 + o*n**3 and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1040057*n**3 - n**2 + 304905*n - 3 wrt n.\nAnswer: 6240342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the third derivative of m**8\/6720 - m**7\/504 - m**6\/180 - m**5\/20 + m**4\/8 - 2*m**2. Let q(x) be the second derivative of t(x). Determine q(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 - 98*d + 197. Let r be s(-41). Calculate the greatest common factor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -114*o - 95*o - 14*o to c + v*o and give v.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -28925116600 rounded to the nearest 1000000?\nAnswer: -28925000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1991661 is divided by 18968.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 25.3195956 nanoseconds?\nAnswer: 0.000000000000293050875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120)\/(sqrt(5) + -4*sqrt(5)*2))\/((-1*sqrt(300) - sqrt(300)) + 3*2*sqrt(12)))**2*6.\nAnswer: 3\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 140 = -5*t. Let u(n) = 17*n + 1. Calculate the remainder when u(1) is divided by (-2)\/(-7) + 340\/t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*j**3 + 34 - 14*j**3 + j**2 - 36 + 2*j**4 - 2*j to the form a + q*j**4 + d*j + x*j**2 + l*j**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.31 - -3.31. Which is the closest to 0.1?  (a) -0.5  (b) v  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Suppose 5*o - 25 = -8*m + 3*m, 2*o + m = 8. What is the lowest common multiple of 39 and o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**(-2\/5)*v)\/(v**(2\/3)\/v))\/(v*v**(2\/11)*v\/(v\/v**1)*v*v*v*v)*(v\/v**(-1)*v*v**6*v)**(-3\/22) assuming v is positive.\nAnswer: v**(-794\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 46885 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -214.76934 - -129.77003. Let x = -462 + 377. Let q = x - c. What is q rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -2*a - 45. Let t be c(-24). Suppose -3*o - t*q = 9, 6 + 1 = -o + q. Put 5, -2, 0, o in decreasing order.\nAnswer: 5, 0, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1821 = -12*z + 411. Suppose 3*k - 5*n = -z, 3*n - 294 = 2*k + 3*k. Which is smaller: -58 or k?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52.15066 meters in millimeters?\nAnswer: 52150.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(104) - sqrt(104)*2))\/(sqrt(80)\/sqrt(40)) + -5*(3 + (-1 + 0 + sqrt(13))**2).\nAnswer: -85 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -2*w + 1. Let c be b(1). Let o be 4 + -7 + (3 - c). Let t = 54 - 50. Solve 9 - o = t*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*n**2 - 148*n + 9520.\nAnswer: -4*(n + 35)*(3*n - 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -251.12333941 minus 5?\nAnswer: -256.12333941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**2 - 9. Let l be m(0). Let w = 17\/2 + l. Let d = -0.3 - 0.7. Which is greater: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*q = -2*o - 3, -5*o - 7*q + 132528 = 132511 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 69101 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11929328 and 13924.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**23)**(5\/2) assuming p is positive.\nAnswer: p**(115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5528 - 5533)*(2132\/530 - 4)?\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6*2\/9*-3. What is the hundreds digit of (-1)\/(-2) - 1734\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.08 + 166.92. Let t = -167.00000171 + y. What is t rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 163 + 508808?\nAnswer: 510072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**2 + 14*h + 55. What is t(-12)?\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*h + 4*y = -29*h + 25, 2*y = h + 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5158236044 to the power of 1\/3, to the nearest integer?\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 379919*h - 379747*h - 8772 for h.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 5*g. Let t(x) = -16*x. Let b(r) = -10*n(r) - 3*t(r). Let h(l) = 0*l + 0*l - 2*l. What is b(h(m))?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.616 in -4, -0.5, 3, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/5  (b) 0.14  (c) -3  (d) 24  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from gjgjwwajggaj.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*x + 2*d + 12 + 55 + 6, 0 = 4*x + 9*d + 88 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 539645.4 nanograms to micrograms.\nAnswer: 539.6454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - i = 2, 2*x - 3*i + 7 = -2*i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4043334 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1835548 - -3003?\nAnswer: -1832545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-7 - 0 - (12 - 5)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5892611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**2 - 18*r - 14. Is 21 a factor of f(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*m**3 - 4*m**2 - 2*m + 14*m**3 + 7*m + 2*m - 6*m to the form i*m**3 + l*m + a*m**2 + f and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6*-2*((-1)\/36 - 0).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 679*a**2*d**2 + 2*a**2*d*j - 11*a**2*j - 8*a*d**2*j - 10*a*d**2 + 2966*a*d + a*j - 3*d**2 wrt d?\nAnswer: 1358*a**2 - 16*a*j - 20*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5941 = -5*x - 2*q - 47, -5*x + 4*q = -5882. What is the lowest common multiple of x and 12?\nAnswer: 7068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 30*j**2 - j + 5. Let b(x) = 8*x**2 + 1. Determine 9*b(t) - 2*g(t).\nAnswer: 12*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -11. Let k = -109 - -121. Calculate the greatest common divisor of d and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**2 - 3*t + 2. Let r be o(2). Let g = 0.42 + -0.82. What is the closest to r in 2, g, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(80) - (sqrt(80) + -2*sqrt(80) - sqrt(80) - sqrt(80))))\/(sqrt(216)\/sqrt(6)))\/((2*sqrt(20)\/sqrt(2) - sqrt(10))*-2*-6).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 2*l - 10 = 4*m, 3*m = 2*l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 387.3115 from -0.5.\nAnswer: -387.8115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 13975 * 0.17.\nAnswer: 2375.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59875 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -5*n + 2*u, 0 = 7*n + n - 4*u - 16 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1292 a factor of 236475458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-84))\/(3\/((-507)\/(-13))).\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, k: 15}. What is prob of sequence kx?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46636?\nAnswer: 2, 89, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1422*z = -1418*z + 2*n - 1370, -5*z + n + 1709 = 0. Let d = 12 + -1. Calculate the lowest common multiple of z and d.\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 645*c**6 - 5*c**5 - 20671*c**3 - 2*c**2 + 158*c + 1334795 wrt c?\nAnswer: 77400*c**3 - 300*c**2 - 124026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 149 divided by 326\nAnswer: 149\/326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1452\/(-1452))\/(2\/28)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 PM and 1:54 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q - 13*q**2 - 1 - 3*q**3 + 1 + 8*q**3 - 2. Let x(s) = 6*s**3 - 14*s**2 + 3*s - 2. Let p(f) = -7*a(f) + 6*x(f). Is p(-6) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 225948204 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -115 equal to -183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -34 - -55. Let d = 20.81 - i. Let x = 0.39 + d. What is the third smallest value in 2\/11, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-2\/7)\/h**(-1\/2))\/(h**10\/(h\/(h\/(h\/(h*h*h**2*h*h))))) assuming h is positive.\nAnswer: h**(-207\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -43 + 83 - 42 + 20*i + (2*i + 2 - 2)*(9 - 13 + 11) + 4*i - 2*i + 0 + 2.\nAnswer: 36*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -165*i - 937*i + 116*i + 51272 for i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 AM and 10:47 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 - 12*u + 3. Let k(i) = 4*i + 3. Let a(c) = -c + 1. Let b(d) = -4*a(d) + k(d). Let s be b(-1). Is 15 a factor of o(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -526 or -532?\nAnswer: -526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 27433727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 17009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3317595, 6635193, 9952791?\n\"Answer: 3317598*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4581*g + 10163149 - 10163149.\nAnswer: 4581*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/60 and -23\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1\/3*a**2 + 110*a - 9075 = 0 for a.\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8 - 61*b - 8 + 42*b to o*b + q and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the third derivative of 0*f**5 - 2\/3*f**3 + 0*f + 0*f**6 + 0 + 1\/70*f**7 + 0*f**4 + 3*f**2. Differentiate z(l) wrt l.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10744*r**3 - 27612*r**3 - 1952*r**3 - 15715*r**3.\nAnswer: -34535*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 21 - 12. What is the highest common factor of c and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 173594 - 173594 - 2*y - 5*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/16*(-164)\/(-2)*2. Suppose 43*a = i*a + 162. Let o = 7 + 2. Calculate the highest common factor of o and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/364 and 698*20\/4576 - 30\/10.\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(8)\/sqrt(4) + 0 + 2*sqrt(2))**2*-2.\nAnswer: -68 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 29 + -19. Let t = -64 + 66. Let s be ((-2)\/6)\/(t\/(-18)). Solve 4*n - s*a - 35 + l = 0, -3*a + 11 = 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1186 - 1122. Calculate the highest common factor of 152 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17 by 30.\nAnswer: -17\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3952 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -24 <= 15442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (-6 - (-9 + 3)) + -12 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 13024 and 0.87.\nAnswer: 11330.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the third derivative of 2*i**5\/15 - 7*i**3\/6 + 27*i**2. What is the derivative of k(n) wrt n?\nAnswer: 16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) -4  (c) -7  (d) 1\/2  (e) 1726\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 - -10. Suppose 4*c - 316 = 2*c - 4*w, x*w = -2*c + 320. Let d = -38 - -56. Calculate the greatest common divisor of c and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 39 = 3*a, -13 + 65 = 3*w + 4*a. Suppose c + 17 = -5*h, 0*c - 4*c = -3*h - w. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*(f*f**3)\/f)\/(f*(f**4\/f*f)\/f*f)*(f\/f**(1\/2))**(-38)*(f\/(f**(-1)\/f))**(-28\/9)*((f\/(f**(-1)\/f))\/f)**24 assuming f is positive.\nAnswer: f**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1316 - 10547\/8. What is the common denominator of n and -29\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -109743, -109744, -109745?\n\"Answer: -a - 109742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the first derivative of -7*k**2 + 36*k + 13. Does 15 divide f(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -128 (base 9) in base 12?\nAnswer: -8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - y + 15 = 0. Differentiate -y*t**2 - 3 + t**2 + 5*t**2 with respect to t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2465 - -160?\nAnswer: -2305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1642*g = -1627*g + 180 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.8 > 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*j**2 - 10*j**2 - 3*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 7*h - 438. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9984*d - 10365*d = 17907 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + -1)\/(2\/(-1 - -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 165 + -159. Calculate the highest common divisor of 42 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*y - 1 + 1 + (273*y - 282*y + 156*y + 708*y)*(1 + 2 - 4 + 0 + 1 - 3 + (3 + 3 - 5)*(0 - 2 + 0) - 5 - 2 + 6 + 0 - 2 - 3) in the form z*y + q and give z.\nAnswer: -9408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(2592)*-3 + sqrt(2592) - sqrt(2592)))\/(-4*(5*sqrt(216) + sqrt(216))).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -168 - -173. Solve 3*r - 28 = -d*g, -2*r + 27 = 6*g - g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/24 of a day in hours?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**2 - 9*w + 12. Let k be l(8). Suppose 0 = -4*o + 16 + k. Calculate the highest common factor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 222 is divided by 168?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11589 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1182 - -814. Let s be (f\/(-64))\/(2\/8). Suppose -s*r**4 - r + 9\/2*r**2 - 12*r**5 + 0 + 9\/2*r**3 = 0. What is r?\nAnswer: -2, -1\/2, 0, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*p**2 + 3*p - 3*p)*(-2*p**2 - 3*p**2 + 2*p**2) + 12*p**4 - 3*p**4 + 0*p**4 to the form j*p + z + y*p**2 + f*p**3 + u*p**4 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0\/(2*(3 + -2)). Suppose t = -5*p - 0*p + 330. Suppose 2*v = 4*f - 74, 0 = -6*f + 4*f - v + 31. Calculate the remainder when p is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-59 + 7)\/(1\/1))\/(-2). Calculate the greatest common factor of 26 and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f = 15*f. Let g(x) be the second derivative of 5*x + 0*x**2 - 1\/4*x**4 - 3\/10*x**5 - 1\/10*x**6 + f + 0*x**3. Factor g(i).\nAnswer: -3*i**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, n: 2, d: 1, u: 5, z: 3, h: 1}. Give prob of sequence uuz.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 5884.671 millilitres in litres?\nAnswer: 5.884671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6566 + 98879\/15. Let d = -76\/3 + m. Which is the nearest to 0?  (a) d  (b) 1  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) - -1*-2*sqrt(153))\/sqrt(9))**2*-1 + 6*(sqrt(17) + 2) + (3*sqrt(68) - sqrt(68))\/sqrt(4).\nAnswer: -5 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -c**5\/3 + 13*c**4\/3 - 49*c**3\/3 + 7*c**2\/3 + 230*c\/3 - 200\/3 = 0. Calculate c.\nAnswer: -2, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -38.357133 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-110)\/3)\/((-2)\/12). Let g = -132 + q. Calculate the remainder when g is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9457 divided by 15?\nAnswer: 9457\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 - -32124.868\nAnswer: 32124.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**3 + 8*u**2 - 22*u + 208. Calculate the remainder when 119 is divided by g(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 7361184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tpg when three letters picked without replacement from ttpfg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.06817 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w = -4*z - 96, 22711*w - 22706*w + 5*z + 125 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - (-14 - -6) - 0) + 24?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101111111 + 0?\nAnswer: 101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -531 + 550 - (2 - (30 + 0))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/(-5))\/((-5)\/(-50)). Is l < 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes before 1:34 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -p - 12 + 10, -4*p = -4*m + 8. Let x(i) be the first derivative of 0*i - 6 + m*i**2 - 1\/3*i**3. Let o(r) = 4*r. Determine x(o(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 15741 divided by 297\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -45 - -28?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -12734076.\nAnswer: -1\/3183519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*d - 3*d - 27*d + 13*d.\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 2*k - 43 = 0, 3*j = 6*j - k - 17. Let z be j + (-7 - (-12)\/(-18)). What is the fourth biggest value in 0, -2, z, -0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2949799 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -3*b**2 + 154*b + 14194. Determine r(99).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16781.2 - 16781. Sort -383, 0.5, z, 3\/8.\nAnswer: -383, z, 3\/8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 5*o**2 - 6*o - 3. Let r be (-4)\/6 + 0 - (-220)\/60. Let h(i) = -i**3 + 5*i**2 + 2*i - 4. Calculate the lowest common multiple of l(r) and h(4).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x - 15. Let z be u(12). Let t(b) = -3*b - 4 - 3 + 4. Determine t(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/6 equal to -2.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 606*i**4 - i**3 - 2*i**2 + 33499 wrt i.\nAnswer: 2424*i**3 - 3*i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 5*l + 316, -2*l + 4*l + 632 = 4*p. Let x = 46 - p. Which is greater: x or -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13\/5 - -3. Let r = -1.01 - -0.01. What is the nearest to b in 2, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 131610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 170.6 + -196. Let s = 54 - 32. Let b = t + s. What is b rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -797\/4 + 201. Suppose -j + 4*b - 12 = -0*j, -4*j - b + 3 = 0. Determine x so that a*x**3 - 5\/4*x**4 + 0*x - 1\/2*x**2 + j = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000000512666721 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 4, -4, 349 in descending order.\nAnswer: 349, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > 41\/93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 98590266 a multiple of 675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -485*i*x**4 - 7707336*i*x + 7671*x**4 wrt x?\nAnswer: -5820*i*x**2 + 92052*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 105 - 105 + 4*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 63357, 63368, 63379, 63390?\n\"Answer: 11*a + 63346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2756, 2766, 2788, 2828, 2892, 2986, 3116?\nAnswer: 3288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22\/(-18)*(1 + -10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2052 less than -62377.5?\nAnswer: -60325.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the first derivative of b**4\/4 - 3*b**3 - 9*b**2\/2 + 10. What is the remainder when s(10) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 15*u. Let g be t(-1). Let n = 11 + g. Calculate the remainder when (-142)\/(-6) + n\/6 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8799.883l?\nAnswer: 8799883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2310278?\nAnswer: 2, 167, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*a**3\/2 + 2571*a**2\/2 + 83601*a - 84888.\nAnswer: 3*(a - 1)*(a + 72)*(a + 786)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 3\/5  (b) -0.9  (c) 1  (d) -27\/76  (e) 0.05  (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*d + 3*d + d)*(d + 15 + 8*d - 13) in the form a*d + y*d**2 + k and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -100 or -94?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3\/2 - 1)*((-38)\/19 - -530). Calculate the greatest common factor of 440 and j.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the second derivative of 13*v**5\/20 - 17*v**4\/12 - 3*v**3\/2 + 9*v**2\/2 + 18*v. Let l(h) = -6*h**3 + 8*h**2 + 4*h - 4. Determine -9*l(b) - 4*n(b).\nAnswer: 2*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -1, 0.04, 1\/4, -48?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 25*q + 38. Determine m(-8).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1)\/(-2))\/((-1)\/(-2)). Let z be (-4)\/10*3 + v. Which is the third biggest value?  (a) 3  (b) z  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -370*g + 1922 + 5108 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {p: 3, d: 1, k: 4, e: 3, i: 1, u: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 5 = 0, 4*n - 2*c - 2*c - 8 = 0. Let t(m) = n + m**2 + 2 - 3. Let x be t(-2). Solve z - 3 = x*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/(135\/6))\/((-2)\/((-6 - -201) + -5))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6826 + 16012. List the prime factors of m.\nAnswer: 2, 19, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5.596 - -6.7393. Let m = f + -1.15. What is m rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i = i + 30. Suppose 2*x - 3 = x. Suppose 4*q - x*q - i = 0. Solve -4*c + 14 + q = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -5 + 6 + -5 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 2548*k + 2020*k + 2135*k - 6525*k + 0.\nAnswer: 178*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.58, -3, -0.04, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -24*z + 358. What is a(15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 6, w: 7}. Give prob of picking 2 s and 1 w.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 3*w + 15 = 2*r, -5*r - 2*w = 10. Let c(x) = x**2 + 1. Let q be c(-2). Let b = q - 10. Put b, 4, r in descending order.\nAnswer: 4, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1773 + 45?\nAnswer: -172e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 19.032191 to 1 dp.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -r**4\/5 + 1006*r**3\/5 - 324733*r**2\/5 + 36077172*r\/5 - 1286083044\/5 = 0.\nAnswer: 86, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*l**2 + 9*l**2 + 0*l**2)*(l**2 - l**2 + l**2) - 1736*l**4 - 1455*l**4 + 302*l**4 in the form u*l**3 + k*l + y*l**2 + f*l**4 + d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2891677.\nAnswer: 29, 99713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 - 2 - 7 + 13 + 3*q**2 + 8*q in the form m*q**2 + u + w*q and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = 3*c. Suppose c = u + 3*u - 108. Let d = 156 - 51. What is the remainder when d is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -101 + 143. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(-3)*2*(-1)\/24?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2958 and 177378?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*c + 88 = 0. Let k = 29 + c. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1441, -1433, -1425, -1417, -1409, -1401?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((6 - 0)\/24)\/((-20)\/32). Which is the nearest to x?  (a) 0.5  (b) 2  (c) 5  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1399.963 to the nearest integer.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 156941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 33638951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54 (base 13) to base 5.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a = 3*g + 19, -2*a - 16 = 209*g - 205*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2424056 + -13?\nAnswer: -2424071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 244810 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 5*x = 44. Let g(k) = k**2 + 9*k - 12. Let r(d) = 2*d**2 + 18*d - 25. Let s(u) = -5*g(u) + 3*r(u). List the prime factors of s(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 120 and 320.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 4 = 4*s, 5*s - 3*u - 1 = -5*u. Solve 4*b - 3*b + s = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 5*k = -0*b - 40, 4*b - 112 = -2*k. Suppose -2*p + b + 46 = 0. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 396745483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 51945, 51953, 51961, 51969?\nAnswer: 51977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1907 rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sbsb when four letters picked without replacement from sssibbssispssppbsss.\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x - 12. Let b be z(10). Let u be (-3 - (-2)\/(-3)*-3) + b. Sort 0, -4, u in descending order.\nAnswer: 0, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -86  (c) -2\/9  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 42128418 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 60551.88 rounded to the nearest 1000?\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 605689778?\nAnswer: 2, 37, 2843, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -1 - 2*v + 1 + 0. Let q(c) = -11*c. Give b(q(k)).\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s + 4*l - 1531844, 5*l + 234764 + 148197 = s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 - -6)\/(12\/8). Suppose 0 = -0*g - 3*g - 3*q, -h*q - 10 = -g. Let k(c) = 3*c - 1. Let o(s) = -4*s + s + s. Calculate g*k(w) + 2*o(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -13862 divided by 2?\nAnswer: -6931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 3*s - 1. Let x be o(5). Let y = 2 - -3. Let b = 35 + -24. Solve y*a + b = -x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmnm when four letters picked without replacement from {f: 1, m: 1, n: 1, b: 1, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-10)\/(-25))\/(28\/(-70))*-4. Solve -4*a = k - 20 + 13, 5*a + v = 3*k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -8, 8, 14, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 + -904863?\nAnswer: -904866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -87, -328, -721, -1260, -1939, -2752, -3693?\n\"Answer: l**3 - 82*l**2 - 2*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 282 + -278. Which is the biggest value?  (a) z  (b) 0  (c) 0.5  (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5313 = -846*p + 615*p for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -5 - 11*v + 108*v**3 + 13 - 87*v**3 + 3. Let w(l) = 4*l**3 - 2*l + 2. Give 6*u(f) - 33*w(f).\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 147449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 63 - 53. Let v(b) = 0*b - 39*b + 45*b + 34*b + t*b. Let j(x) = -4*x. Calculate v(j(q)).\nAnswer: -200*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2977151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -52*l - 143 + 143 to the form c*l + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -95\/11, -2\/21, -0.2.\nAnswer: -95\/11, -0.2, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 65.37653cm to meters.\nAnswer: 0.6537653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 3*o = -23376186 + 9201359, 5*k = 5*o - 17718455. What is k rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the second derivative of c**4\/12 - 19*c**3\/6 + 191*c**2\/2 - c - 39. Is q(-25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 109 + -39.9. Let m = 67.1 - q. Which is the biggest value?  (a) -2\/11  (b) -5  (c) -4  (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1000001001101100 (base 2) in base 6?\nAnswer: -414324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -40, -6, -4, -1, 0.4, 36, -2.\nAnswer: -40, -6, -4, -2, -1, 0.4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 258798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:17 PM and 4:30 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -212024320 or -212024321?\nAnswer: -212024320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*q**3 + 8*q**2 - 52*q - 8 = 0. Calculate q.\nAnswer: -1, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 494*t - 11401. What is c(21)?\nAnswer: -1027","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 1024636.\nAnswer: 1\/1024636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 105 + -32. Let j = g - 71. Let m = 10.9 - 11. Which is the closest to -1?  (a) j  (b) m  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + p + 2 = -p, 2*p = 5*g + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -35  (b) -17\/8  (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*k - 11 = 12*k - 4*d, -d = -4. Suppose -55 = -2*y + v, k*y - 3*v - 55 - 82 = 0. What is the remainder when 136 is divided by y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(27))\/sqrt(9) - (-1*sqrt(6)\/sqrt(2))**2) + (sqrt(3) - sqrt(108)*4 - (sqrt(243) + -5 + sqrt(3)))**2.\nAnswer: -326*sqrt(3) + 3289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 294893681.\nAnswer: 14549, 20269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 13508945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -164023 or -164022?\nAnswer: -164022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -130908 + 130908 + 304*h**2.\nAnswer: 304*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 - -12202210021?\nAnswer: 12202210002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 849962713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d\/((d*d\/(d\/(d**(-2\/17)\/d*d)*d))\/d)*(d\/d**(-7))\/d assuming d is positive.\nAnswer: d**(172\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 3*f + 8. Let i = -2 - f. Suppose 4*o + 16 - 64 = i. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-5 + -3)*86\/(-8)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*m - 7*m + 2*p + 160 = 400, 2*m + 2*p - 358 = -4*m for m.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 72 * 1511\nAnswer: 108792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1639437 (base 10) to base 8.\nAnswer: -6202015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.061 + 0.0465. What is k rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 - (3 - (-1722)\/(-48)). Let l = j + -31. Let u be (3\/4)\/(6\/2). What is the closest to u in 1\/4, l, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25602*z**3 + 25603*z**3 - 51176*z**3.\nAnswer: 29*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 10\/19, -3\/5, -1\/5, -21\/10, -0.05, -2\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the first derivative of n**5\/40 + 29*n**3 + 124. Let y(k) be the third derivative of g(k). Let a(o) = -o - 7. Give y(a(b)).\nAnswer: -3*b - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.1880666 less than -435?\nAnswer: -429.8119334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*z = 12*z - 117370 + 329330. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1523543851?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = p - 4*b, -4*p = p + b + 51. Let z be 0 - 1\/(p\/(-4)). What is the closest to z in 0.2, 4, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1573684, 3147517, 4721350, 6295183?\n\"Answer: 1573833*z - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6241474.\nAnswer: 2, 79, 39503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the first derivative of q**3\/3 - q**2 + 2*q - 4. Suppose -h + 7 - 4 = 0. Determine b(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1443 and 66495.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6152, -25042, -56654, -100982, -158020?\nAnswer: -227762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -554 + 592. What is the lowest common multiple of n and 5?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -20, -17\/6, -5, -3.6?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30108206?\nAnswer: 2, 29, 519107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 49*j**3*p**3*u**2 - 2*j**3 + 2*j**2*p*u**2 + 2*j*p**2 - 28*j*u**2 - 6*p**3*u**2 + p**3 wrt p?\nAnswer: 294*j**3*u**2 - 36*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 302044233244 + -3?\nAnswer: 302044233241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 121\/160 and 57\/3648*(-712)\/(-28).\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 3, o: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, n: 3, q: 6, t: 1}. Give prob of sequence tgg.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0 - 0) + 1 - -2. Let s be (3 + y)*113\/(-2). Is (-6)\/9 - s\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -146 = -6*p - 116 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - b + 5623 = 0. Let o be 2 + b\/(-8)*-5. Let p = o - -3504. Find the common denominator of 71\/6 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**3)**(-1\/10)*(o**(-6)*o)\/o**(-5) assuming o is positive.\nAnswer: o**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*w + 21*w = -3. Sort 4, -4, 3, w.\nAnswer: -4, w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z. Calculate g(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 833393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + 4.405666?\nAnswer: -8.594334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2475)\/135 + (1 - 5\/3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 7) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32671423 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-14))\/((-16)\/(-3 - -7))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2834*n = -2851*n + 493 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 - (-1)\/(1\/2). Suppose -21 = -5*l + u*t, 0 = -l + 6*l + 4*t - 3. Let o = -1.5 + 2. Put o, l, 2\/9 in ascending order.\nAnswer: 2\/9, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the second derivative of -u**4\/12 + 6*u. Let c(d) be the third derivative of -d**5\/12 - d**2. What is c(t(j))?\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a - 25 = 4*a. What is the third derivative of -5*t**5 - 18*t**2 + 12*t**2 - 3*t**a wrt t?\nAnswer: -480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*d = 23*d + 348. Let p be (-145)\/d - (-2)\/6. Solve -r + p*r = -1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jkjejkkkk. Give prob of sequence ej.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**2. Let a(o) = -7*o - 2. Let i(d) be the first derivative of -3 - 21*d - 69\/2*d**2. Let x(n) = 63*a(n) - 6*i(n). What is x(b(y))?\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 + 13*r**2 - 19*r + 3. Determine u(9).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -152, -147, -120, -59, 48, 213?\n\"Answer: 2*g**3 - g**2 - 6*g - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17641952 or -17641971?\nAnswer: -17641971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, x: 9, a: 1, p: 3}. What is prob of sequence ax?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2 - 1)*-12*1\/(-3). Suppose -4*z + 56 = d*u, z - 5*z - 7 = -3*u. Determine b, given that 4 - 2*b**2 + 4*b + u*b - 6*b**3 - 7*b - 2*b**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -13*k + 2000. Let n(f) = 2*f - 332. Give -6*h(d) - 38*n(d).\nAnswer: 2*d + 616","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43*g**2 + 0*g - 22*g**2 + 0*g - 32*g**2.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3264 + 225*z**3 - 3264)*(-3*z - 3*z + 5*z).\nAnswer: -225*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -148*r - 55*r**2 + 71*r + 77*r.\nAnswer: -55*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (((-8)\/(-14))\/2)\/(29\/406). What is the nearest to -1 in 4\/7, c, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16.34 + 919.66. Let w = -939 + u. Let h(g) = g**3 - 5*g**2 + 3*g - 2. Let m be h(4). What is the closest to -3\/4 in w, -2\/7, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.3 - 0.1. Suppose 49 = 21*i + 7. Let y be -1*8\/(-36) - 52\/(-9). Which is the closest to l?  (a) i  (b) -2\/7  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -138 - -151. Let v(s) = 11*s**2 - 14*s + 32. Is v(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*d**2 - 5 + 5)*(d - 3*d + 3*d)*(0 + d + 0 + (-57 - 46 - 382)*(-3*d + 0*d + 5*d)) to the form k*d**4 + g*d + l + u*d**2 + m*d**3 and give k.\nAnswer: -2907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*f**3 + 4 + 2*f**3 + 88*f**2 + 4*f**2 - 2 as w*f + j + x*f**3 + i*f**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-1))**(-1\/10)*q*q**(1\/4)*q**(-3)\/q)\/((q*q**(-3)*q*q)\/(q\/(q\/(q*q**(-6)*q*q)))*q**(-2\/7)\/(q**(-3\/2)*q)) assuming q is positive.\nAnswer: q**(-821\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(98) - (2 + 2*sqrt(98)))*2)**2 + 2 + 1*(-1 + (1*sqrt(2))**2) + 5.\nAnswer: 1008*sqrt(2) + 3680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(-14)*w)\/w)**(-34) assuming w is positive.\nAnswer: w**442","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7 and 9657?\nAnswer: 67599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 4*b = -495. Calculate the highest common factor of 45 and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2181.3 and -0.4.\nAnswer: -2181.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - 770 = -5*n + 5*a, -5*n - 4*a + 770 = 0. Suppose -z + 2*z + 3*v = 10, -v - 114 = -5*z. What is the greatest common divisor of n and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 104921222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**3 + 13*q**2 + 14*q + 36. Let d be i(-12). Let o(m) be the second derivative of 9*m - d*m**2 + 46\/3*m**3 + 0 - 7\/3*m**4. Factor o(r).\nAnswer: -4*(r - 3)*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8\/6*(2 + 0 + -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c. Let v be x(1). Suppose 18 = u - v. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9689 + 42734. Is 164 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*r, 2*n - 2*r - 5 = r. Solve -2*k + 4*k + 4 = 5*g, 2*k = 3*g - n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b**4\/3 + 40101*b**3 - 360916*b**2\/3 + 80204*b = 0. What is b?\nAnswer: -120306, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from diu. What is prob of sequence ud?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -4*c. Let o(t) be the second derivative of -2*t**3 + 44*t + 1. Calculate o(p(s)).\nAnswer: 48*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 7*d - 57 = 2*o, -3*d + 99 = -4*o. Let n be 6\/4*(-1)\/(33\/550). Let k = o - n. Solve -y + 2*w = -k, 0 = 4*y - 2*w - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*c**2 - 2*c + 3*c - c - c**3.\nAnswer: -c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 12, t: 3}. Give prob of picking 1 t and 1 h.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 24\/18 + 4\/6. Suppose 5*b = -3*l + 40, -o*b - 12 = -4*l - 2. Find the common denominator of -58\/9 and (1 - 13\/l)\/((-16)\/(-120)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 4525905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 252\/72*(-16)\/14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 151 smaller than 151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the second derivative of a**4 - a**3\/2 + 3*a**2\/2 - 148*a - 4. Let c(w) = w**2 - w + 1. Determine -3*c(i) + y(i).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/725 and 19\/29270?\nAnswer: 4244150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -7, -8, -4, -64 in ascending order.\nAnswer: -64, -8, -7, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 14*((-12)\/(-8) + -2) - -2581 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f. Let z(b) = -3*b**2 - 11*b + 2*b + 10*b**2 - 32*b - 272 + 273. Give z(x(v)).\nAnswer: 7*v**2 - 41*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*q + 2*q - 3*q)*(-4*q - 6 + 6) + 2*q**2 - q**2 - 3*q**2)*(-q**2 + 4*q - 4*q) + 2*q**3 - 2*q**3 + 2*q**4.\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and -2.36.\nAnswer: 1.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -1. Let c(a) = -a**3 - 6*a**2 + 2*a + 6. Let j(v) = c(v) + 4*x(v). Determine j(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**2 - 2*d + 11. What is o(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 124 + -72 + 13 + -66\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -36051, -1, 1, 2, -3 in decreasing order.\nAnswer: 4, 2, 1, -1, -3, -36051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/(-10)*(18\/(-48))\/((-6)\/40). Let s(y) = 4*y**2 - 1. Let l be s(-1). Sort l, 2, f.\nAnswer: f, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1)\/(2\/4))\/(10\/(-20)). Suppose n*x - 22 = -f, -42 = -5*f - 0*f - 3*x. Calculate the highest common factor of f and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 229 - 159. What are the prime factors of k?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -4*n**2 - 33216*n + 107933584 = 0.\nAnswer: -10802, 2498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 9975837979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 13575791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - f + 10 = 0. Find the third derivative of 11*x**5 - x**5 + 3*x**f - x**5 - 2*x**2 wrt x.\nAnswer: 540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6.81 - 79.19. Let r = -95 - k. Which is the second smallest value?  (a) -2  (b) r  (c) -4  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -2*d - 14. Let a be n(0). Let s = 19 + a. Suppose s = -4*t - 7. Is t smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -3*l - 5. Let j be (-4 + 5)*(3 - 3). What is d(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**(-5)*g)\/g*g)\/((g\/g**4)\/g))\/((g\/((g*g\/(g\/(g*g*g**(-2))))\/g))\/((g*g**(2\/11))\/g)) assuming g is positive.\nAnswer: g**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1096d0030 + 0?\nAnswer: -1096d0030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/4, 1\/4, 1442, 2, 8, -4, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**2 - 6*a + 6. Let p be i(4). Let z = -643\/5 + 126. Which is smaller: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1020 and 1838910.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -527119 + 345979. Round v to the nearest one thousand.\nAnswer: -181000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 200*g - 10359 + 6959 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2051407913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 4*g + 1 + 15 = 0, 3*g = 2*t - 15. What is the greatest common divisor of 24 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 4*u + 21 = 4*a, 3*u + 3 = 0. Suppose -300 = -a*g - 0*g. Is g a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 160, 321, 482, 643, 804, 965?\nAnswer: 1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 0) + (6 - 10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 3220570, 6441125, 9661680, 12882235, 16102790, 19323345?\n\"Answer: 3220555*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, 12, 2, 11, -9 in decreasing order.\nAnswer: 12, 11, 2, 2\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r - 733 + 2701. Suppose -168*b = -165*b + r. Is (b\/3 + 2)*(-36)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 - 8 = -t - 5*n, 25 = 5*t - n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 4 = -4*r. Suppose r*h - 13 = 15. Suppose -3*v + 44 = -q - h, -38 = -2*v + q. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10344 - -10374. What is the highest common factor of c and 15090?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 69 = -p, -4*p + 0*c = 4*c - 272. Suppose 3*u - p = 17. Suppose 0 = m - v - 9, 4*m + 4*v - 24 = -4. What is the greatest common divisor of m and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33700 is divided by 11221?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 2*o = -5*x + 171, 5*x - 174 = 3*o. What is the remainder when 96 is divided by x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 283173 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -35*p. Let i be m(2). Let k = i - -70. Suppose k = 50*c - 48*c - 914. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/8 of a milligram in micrograms?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:33 AM and 10:24 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (6 - 7) + -9 + 9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 9\/4, -0.0296, 531, -4, 0.2?\nAnswer: -0.0296","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(539) + sqrt(539)*-3 + sqrt(539) - sqrt(11)) + 1*(sqrt(704) + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2191, -7, -21 in ascending order.\nAnswer: -2191, -21, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -55*k**2*m**3 - 192*k**2 + 14*k*m**3 - 3 wrt m?\nAnswer: -165*k**2*m**2 + 42*k*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 71482115 and 655?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 5, w: 9}. Give prob of sequence wnn.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -15*i. Let o(u) = -440*u. Give j(o(f)).\nAnswer: 6600*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2428 - 2421. Suppose -2*t - 6*r - 9 = -r, 2*t - 21 = 5*r. Solve -4*z = t*s - 2*s + 17, -5*s = -3*z - f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-60))\/(6\/(-135)*-2).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/((-630)\/(-81))*10\/6.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/9 bigger than 22160008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/4)\/o*o**(-3)*o**(4\/7)\/o**5)\/(((o\/((o*o*o**(1\/4))\/o)*o)\/o*o)**(-1))**(1\/16) assuming o is positive.\nAnswer: o**(-3643\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -3*r - 8*h, 2*h + 37 = -2*r + 27 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 588\/98*2\/(-3)*1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 + 3. Suppose 100 = 4*l - h, -h = q*l - 2*h - 52. Solve -12 = -a - g + 5*g, 4*a = 4*g + l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -234 + 3 = -3*o. What is the highest common factor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*q**4 - 3*q**2 + 4*q**3 - 5*q**3 - 5 + 6*q**4 + 3 to n*q**3 + x*q**2 + d*q**4 + k*q + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -63*p**2 + 13904*p + 4193. Give y(221).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes after 1:38 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -459  (b) -0.5  (c) -1.5  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17, 31, 45?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**3 - 4*c**2 - 4*c - 1. Let a be m(-2). Let y = 3 - 2. Let q = y + a. Solve 4*n + 20 - 4 = q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -6*v**3 + v + 3*v**3 + 3*v**3 - 8*v**2 - 9 + v**3. Give y(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3 + 367*i**2 + 1933*i**5 + 1033*i**5 - 242*i**5 wrt i?\nAnswer: 163440*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 30*-4*1\/(-4). Let y be 5\/(u\/441)*(-4)\/(-6). Suppose -50*l + y*l + 25 = 0. Solve -5*k + 5*q - l = 4*q, -4*q = 5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 7\/5 - 1 - (-24)\/15. Put h, -19, 2\/7 in increasing order.\nAnswer: -19, 2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8617259381.\nAnswer: 59167, 145643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u - 1 + 21 = 0, 2*c = -4*u - 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -684*c + 1368*c - 680*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 258 is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -107.023 + 107. Put 2\/7, -0.3, -0.1, q in descending order.\nAnswer: 2\/7, q, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1009*s + 891*s - 338*s)*(-3 + 0 + 1)*(6 - 3 - 1)*(-4*s + 0*s + 0*s).\nAnswer: 24992*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17174, -68693, -154560, -274775?\nAnswer: -429338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:04 PM and 12:11 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 5*n - 33, 2*w + 18*n + 4 = 22*n. What is the remainder when 245 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((1*sqrt(208) + sqrt(208))*-2 - (sqrt(208) - ((sqrt(208) - 3*sqrt(208)*2) + sqrt(208) + sqrt(208)))**2).\nAnswer: 48*sqrt(13) + 9984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3841984 and 44288?\nAnswer: 15367936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 1790*f + 1310. What is the units digit of o(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 19 = 3. Let b(g) = -6 - g + l + 0 - g**3. What is the units digit of b(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/(-4))\/(10\/760). Let g = 42 - a. Is 9\/36 - (-2083)\/g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -11*q - 16. Let h be z(-12). Suppose 4*v - h = 392. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lcdu when four letters picked without replacement from lclldullcujkj?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.17?  (a) 1\/9  (b) 0.11  (c) -1\/2  (d) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13 - 9. Let x = l + -3.5. What is the second biggest value in 0.2, x, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4931 divided by -66421\nAnswer: -4931\/66421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 6:42 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 30276*i**2\/7 - 19081536*i\/7 + 3006548224\/7 = 0?\nAnswer: 27416\/87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 19*v**3 - v**2. Let h be w(1). Suppose -t - h = -3*t. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times 25013\nAnswer: 7503.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 67\/147521 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - -21000100111020?\nAnswer: 21000100111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 140 and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -2*l**3 - 9*l**2 - 13*l + 124. Let t(f) = -2*f**2 - 3*f + 31. Give 9*t(y) - 2*z(y).\nAnswer: 4*y**3 - y + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 19 + 13?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -3 + 4 + 3 - i**2 - 3*i + 0. Suppose 0*x + 4*y = 2*x + 4, 0 = -5*x - 3*y - 75. Let g = x + 7. Give t(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -48*u**2 - 3478*u - 229. Let x(w) = -4*w**2 - 2*w - 1. Let g(f) = s(f) + 3*x(f). Factor g(i).\nAnswer: -4*(i + 58)*(15*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 - 3*l**2 - 2*l + 4. Let x be j(-3). Let c = x - 19. Is (0 + 1)*c\/(-1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((2*(sqrt(102) + 4*sqrt(102) + sqrt(102) + sqrt(102)) - sqrt(102))\/(1*sqrt(150)))**2.\nAnswer: 2898\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -40317\/52 + 1551\/2. Calculate the common denominator of 1\/26 and z.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21120101221 + 1?\nAnswer: 21120101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8389931 is divided by 283?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z = 4*v - 8, -5*z - 4*v - 45 = -53 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*d - 5*r, -25*d + 14836 = 4*r + 14815 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 35403, 35458, 35563, 35736, 35995, 36358, 36843?\n\"Answer: 3*v**3 + 7*v**2 + 13*v + 35380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -36883.5 + 36884. Let k = 7 - 2. Which is the biggest value?  (a) -5  (b) k  (c) o  (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b - 4. Calculate k(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-1 + 2) - (-34 + 28).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 2*f - 3*f + 557, 4*f = -k + 545. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -412*j - 4950. Let k be l(-12). Let m(p) = p**3 + 4*p**2 - 11*p + 10. Give m(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 8*x**3 - 17*x + 17. Let w(n) = -n**2 - n + 1. Let j(s) = 3*s**3 + 2*s**2 - 4*s + 4. Let u(g) = -j(g) - 2*w(g). Give -17*u(h) - 6*z(h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (200\/(-175))\/((-21)\/(-98))\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j + 6, 279*m - 284*m + 25 = -5*j. Which is the third smallest value?  (a) 2\/9  (b) 0.5  (c) 3\/43  (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by -253\nAnswer: -7\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 79.943878 rounded to 2 dps?\nAnswer: 79.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -250*o**4 + 56*o - 55*o + 1 + 248*o**4 - o**2 + 2*o**2 + o**3 in the form q*o**4 + t*o + d*o**2 + z*o**3 + j and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the second derivative of -81*i**5\/10 - 6*i**4 - 4*i**3\/3 - 49*i. Determine d so that j(d) = 0.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*x + 84 = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 19*c + 1. Let r be (5 - 3)\/((-1)\/2). Let f be r\/(-2) + -1 + 0. Is 14 a factor of z(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 2*j - 134 = -4*g, 1 = g. Suppose j = 5*r + q - 4*q, -3*r + 63 = 3*q. Calculate the smallest common multiple of 22 and r.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1110 + 1115. Solve -40 = -l*d + 5*v, 2*v = 2*d + v - 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 11*v + 139 + 42*v + 47 + 105*v - 3*v**2 - 71*v.\nAnswer: -3*(v - 31)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 76 and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2070*b**3 - 2*b**2 + 3*b - 6 wrt b?\nAnswer: 12420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {i: 4, b: 2, f: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, 2, 6, 22, 56, 114?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 15574 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.653 - 0.67676. Let r = 0.0361 - t. Let o = r - 0.06. Round o to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -6135, -6136, -6137, -6138, -6139?\n\"Answer: -r - 6134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x + 4. Let i(u) = -u - 4. Let b = -12581 - -12586. Give b*i(s) + 6*o(s).\nAnswer: s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes after 6:08 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5570313*a**2 + 6*a*k + 2*a - 56*k + 327011 wrt a?\nAnswer: -11140626*a + 6*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4986 - -5290. What is the highest common factor of 1976 and m?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-124)\/248*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*d - 4*d - 13*d**4 - 888*d**2 + 883*d**2 + d**3 to the form w*d**3 + b*d + h*d**2 + i + p*d**4 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the third derivative of -3*z**5\/20 - 115*z**2. Let l(g) be the second derivative of -31*g**3\/6 + 2*g - 38. What is h(l(v))?\nAnswer: -8649*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19305217 is divided by 2793?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1225 is divided by 456.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**2 - 7*r + 141. Calculate the remainder when 771 is divided by j(-11).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/24)\/(10*2\/12)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqqy when four letters picked without replacement from yqqqqyyqqyqy.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -2*r + 15. Let o(b) = -b**2 - b. Let k(u) = 5*u**2 + 3*u. Let f(l) = -k(l) - 3*o(l). Give w(f(i)).\nAnswer: 4*i**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1 and -1561.5515003.\nAnswer: -1560.5515003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 3 = 2*a, 3*k - 20 = -24*a + 19*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2175 - 841 = 46*i for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n + 2*n - 5 = -5*g, 0 = -3*n - 3. Suppose 3*t - 5*t = -14. Suppose x - t - 35 = g. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 7:49 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2980, -2851, -2722, -2593?\n\"Answer: 129*o - 3109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gqdqqggqd. What is prob of picking 2 q, 1 g, and 1 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14, -34, -60, -86, -106, -114, -104, -70?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 7*(-1)\/(18\/(-2))*84\/(-294)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 70*l - 122. Calculate t(6).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 2\/44532617?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1*15\/42*-18. Is h smaller than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 150. Let o(z) = 43. Let l(j) = 7*o(j) - 2*y(j). Let w(a) = 3*a - 6. Let x(i) = 4*i - 8. Let t(k) = 5*w(k) - 4*x(k). Give 4*l(h) - t(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - 0. Let n = o - -1. Let u(y) = y - 6 + 8*y**2 - 6*y**2 - y**2. Calculate u(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of 4\/21*q**3 - 4\/7*q + 1\/14*q**4 - 1 - 1\/7*q**2. Factor f(l).\nAnswer: 2*(l - 1)*(l + 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) 1\/1373  (b) 3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 178*t**2 - 228*t**2 + 5*t**3 + 105*t**2 = 0 for t.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250687.968 rounded to the nearest one hundred?\nAnswer: 250700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -69155, -138302, -207435, -276548, -345635, -414690, -483707, -552680?\n\"Answer: w**3 + w**2 - 69157*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 1015\/149?\nAnswer: 1015\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 28109, 112440, 252991, 449762, 702753, 1011964?\n\"Answer: 28110*g**2 + g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -5\/573, 3.7 in ascending order.\nAnswer: -1\/4, -5\/573, 3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -21*k. Determine l(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -25*f**2 - 128*f**5 - 128*f**5 + 251*f**5 wrt f.\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -454, 1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 783297 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/14132)\/(2919\/(-302610)). Let m = t + -1\/3533. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -222100 + 10?\nAnswer: -222030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 3*q**2 - 67*q - 34. Let g be w(23). Calculate the highest common factor of 56 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 644 - 158. Is q a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(320))*4 + 1.\nAnswer: 1 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 105521*z - 20. Let b(t) = 2*t. What is b(r(j))?\nAnswer: 211042*j - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5417551 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**2 + j - 1. Let h be a(-1). What is the closest to 1\/3 in -8, 2\/9, -2, h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/7*s**3 + 0 + 0*s + 4\/7*s**2.\nAnswer: 2*s**2*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -3*w. Suppose -2*t + 3*p - 51 - 30 = w, 4*t + 3*p + 117 = 0. What is t rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.413 - -52.413. Which is the third smallest value?  (a) -3\/5  (b) 2  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8808 - 3912 - 7809 + 5029 = 250*h for h.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -26, -74, -160, -290, -470, -706?\n\"Answer: -v**3 - 13*v**2 - 2*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(-2*3\/(-18)). Let i = s + 0. Suppose i*m = 2*m. What is the closest to -1\/4 in m, 2\/3, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 20*o**2 + 147*o - 16. Calculate c(-7).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1499441834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 703.2751 milligrams to nanograms.\nAnswer: 703275100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -75077, -66263, -57447, -48629, -39809?\n\"Answer: l**2 + 8811*l - 83889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2075.72 times 0.1?\nAnswer: -207.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 4, u: 7, q: 5}. What is prob of picking 2 u?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -330, 19, 4, 9, 0.\nAnswer: -330, -1, 0, 4, 9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r\/r**(6\/17))\/r)**(-3\/10)*r**2*r**(7\/3)*r assuming r is positive.\nAnswer: r**(2621\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n. Suppose -h - 2*h = 12. Let p(f) = -f - 1. Let q(x) = h*b(x) - p(x). Does 5 divide q(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15404?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -102 + 101. Let a be t*(2 + 75\/(-2))*2. What is the greatest common factor of a and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27061 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: Let d = 0.8 - -3.2. Let t = d - 3. Let g = -0.8 + t. What is the smallest value in -1\/2, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7.4 + -10.4. Which is the second biggest value?  (a) -2  (b) 6  (c) l  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(475)*-2 + -1 - 3*(sqrt(475)*-1 - sqrt(475) - sqrt(475)) - ((sqrt(475) + 1)*-1 + -1)) + 0)**2.\nAnswer: 80*sqrt(19) + 30401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 494 divided by 29.\nAnswer: 494\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3733 + 21453 = -1062*g - 19520 + 6442 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -123\/77740 and -27\/3380.\nAnswer: 77740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -39.2615 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 805486 and 18502.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-76 - 25 - -94).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**2 + 0*m**2 + m**2)*(m + 2*m - 5*m) - 949*m**2 + 949*m**2 + 1786*m**3.\nAnswer: 1784*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 4, -5, 3, -1625.\nAnswer: -1625, -5, 3, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1\/(-2))\/((-1)\/12). Suppose -3*d - l*d + 819 = 0. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1751 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7142 or -4.9?\nAnswer: 7142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in d**2 + 50485*d - 100950*d + 50443*d.\nAnswer: d**2 - 22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 428 + -438. Let j be (y\/3)\/(2\/3). Put 1\/6, 3, -2\/9, j in descending order.\nAnswer: 3, 1\/6, -2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/9*(-1 + (-9 - 2)) and 12\/19.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5110034 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 e, 1 c, and 1 u when four letters picked without replacement from {n: 3, c: 7, u: 2, a: 4, e: 1, s: 1}?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 4*j**2 - 4*j**2 - 2*j**3 - 2 - 3*j - j**2. Does 8 divide z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -3*k + 140. Let i(z) = 66*z - 59*z - 6*z. Give o(i(j)).\nAnswer: -3*j + 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 21*l*n**2*t + 2*l*n**2 - 101*n**2*t - 13*n wrt l?\nAnswer: 21*n**2*t + 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 148114853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 3:35 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -2004*f - 2. Let s(p) = -1000*p - 1. Give 3*j(y) - 7*s(y).\nAnswer: 988*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from aaaaqgaiqvq.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - n = 13, s - 4*n = -28563 + 28543 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*f**2 - 49*f + 49*f)*(f + f + 2*f)*(3 - f - 1 - 3).\nAnswer: 12*f**4 + 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**3 - 4*p**2 - 3*p + 7. Let a(v) = 2*v + 3*v**2 + v**3 + v - 10*v - 9*v**2 - 6. Let d be a(7). Is i(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*l = 42*l + 32. Let p(s) = s - 1. Let o be p(4). Let t = o + l. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1203220 (base 5) to base 9.\nAnswer: 33538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmmmmmrmmmmrmmmrmm?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -9*q + 14. Suppose -3*c - q*c - 800 = 0. Let u be (-6)\/(-10)*1 - c\/25. What is the greatest common divisor of 77 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 44 - 44 + 19757*b - 997*b in the form l + r*b and give r.\nAnswer: 18760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2467, 2399, 2293, 2155, 1991, 1807?\n\"Answer: c**3 - 25*c**2 + 2491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -7*a + 8*a. Calculate the remainder when 57 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -3*j**3 + 0*j**2 + 2*j**2 - 3 + 0*j**2. Let s = 18 - 9. Let o(q) = 13*q**3 - 9*q**2 - q + 13. Give s*y(l) + 2*o(l).\nAnswer: -l**3 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21, -16, -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 138 = -4*v - 134. Let s = v + 151. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1022310 + 6\nAnswer: 1022316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0*(-2)\/2*-1 - 0. Suppose s = 4*j + 5*l - 374, 5*l + 296 = 3*j + l. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 3*o + 2. Let s(i) = -21*i - 15. Let w = -18 - 6. Let c = w - -9. Let t(v) = c*b(v) - 2*s(v). Let u(p) = 2*p**2. Determine u(t(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h = -6*h + 1126. Let w = h + 1026. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/19 in -0.05, -4, -7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -11142202 - -42140?\nAnswer: -11100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 7, e: 2}. Give prob of picking 3 v and 1 e.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (7\/((-147)\/(-72)))\/((-12031)\/(-84217))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 301336 and 1000.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(637))*-4.\nAnswer: -28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.2 - -0.4. Let q = 14.4 - 18. Let u = q + -1.4. Sort u, n, 0.5.\nAnswer: u, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2462199*q**4 - 1933*q**2 + 155 wrt q?\nAnswer: -59092776*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ese when three letters picked without replacement from {s: 2, e: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = f - 7, -2*f + z + 10 = -4. Let j = -1372 + 2087. Suppose -j = f*l - 18*l. Calculate the greatest common factor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -242 = q - 0. Let y = q + 111. What is y rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 - 12\/(-9)) + (-40)\/(-6). Let f(l) = -l - 1. Let h(u) = -89*u + 7 + 92*u - 2 + 2. Let x(c) = 4*f(c) + h(c). Determine x(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 13*a - 9. Let u be z(5). Calculate the greatest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 4*y + 22 = 2*n, -y = 2*n - 2. Suppose -8*z = -5*a - 4*z + 352, a + 5*z = 82. What is the remainder when a is divided by (-2 - (-3 + n)) + 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -2\/18913693?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 430 (base 10) to base 14\nAnswer: 22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*b**2 - 8*b**2 + 0*b**2 - 4*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40 - 0)*(27\/(-6) - -7)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(-1\/10)*i*i*i**(-1\/3))**32)**(-20) assuming i is positive.\nAnswer: i**(-4928\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.206804367 to four decimal places.\nAnswer: -0.2068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -3, -4, 5, 262 in ascending order.\nAnswer: -4, -3, 0, 5, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (5\/2)\/((-1)\/2). Let b = -27641 - -27641. Sort 3, b, w.\nAnswer: w, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125*i + 3453 - 328 = 0 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 2\/5, 1, 0.1.\nAnswer: -0.2, 0.1, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + sqrt(275) + sqrt(275) + -2 - (sqrt(539)*-1 + sqrt(539)))**2 + ((-1*1*sqrt(121))\/(2*1*sqrt(11)))**2.\nAnswer: -44*sqrt(11) + 5351\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o. Let a(c) = -20*c + 6. Let f(g) = -2*a(g) - 20*l(g). Let j be f(7). Let y = j - 65. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/12506 and 49\/642.\nAnswer: 4014426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -38 + 22. Let y = c + 11. Let h be 6*((-66)\/(-12) + y). Are -13 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*h = 1189 - 1574 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11551\/163 or 72?\nAnswer: 11551\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -2*z**2 + 3*z - 1. Let o be 2 + 2 - -2 - 4. Let v be c(o). Let h(m) = 2*m + 3. Determine h(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 11542*z - 11546*z - 136 = 0, -42 = -4*l + 2*z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 78983 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-94 - -268) + -73 - 170?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 3*g + 14 = -7, 5*g = 20. Suppose -2*p = u - 5*u + 24, 2*p + 19 = 3*u. Sort v, 2, p in ascending order.\nAnswer: v, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1.1  (b) 635  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 10, w: 6, u: 4}. Give prob of sequence hw.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -93*u**3 - 67499*u**2 - 16943606*u?\nAnswer: -558*u - 134998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-65)\/(-20) - 3\/(-4). Suppose 0 = o*u - 9 - 3. Suppose 5*h = -2*n, u*h - 2*n = n. Solve 5*x + h*x = 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*y + 26*y - 6 = -v, -5*v + 12 = 2*y. Factor v*f + 0 + 3\/5*f**2 - 4\/5*f**3.\nAnswer: -f**2*(4*f - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 27138 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 171722685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -2184*g**2 - 2*g - 30. Let n(o) = -13103*o**2 - 11*o - 170. What is 34*k(a) - 6*n(a)?\nAnswer: 4362*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -7.539  (b) -0.055  (c) 5  (d) -5  (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 147*y**2 - 17 - 275 + 325 - 33.\nAnswer: 147*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/61  (b) 1\/14  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*g**3 + 4301*g**2 - 4264*g**2 - 2*g**3 to f*g**2 + a*g**3 + d*g + c and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 31385 + 3063.237\nAnswer: 34448.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 941 = -201*f + 12800. Solve 0 = f*p - 76*p - 17 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-6)\/15)\/((-2)\/430). Let m(u) = -u**3 + u**2 + 1. Let n be m(2). Let c = n + w. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27918?\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g - 2 + 2)*((-2*g - g + 5*g)*(3 - 2 - 3) - 22 + 65*g + 18 - 32*g) + 3*g + 2*g**2 - 3*g + (3*g - 2*g - 2*g)*(-2*g + g - g).\nAnswer: 62*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 10*n**3 + 15*n**2 + 7*n - 10. Let y(s) be the first derivative of -3*s**4\/4 - 5*s**3\/3 - s**2 + 3*s - 27. Let j(x) = -2*a(x) - 7*y(x). Give j(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 + -49751?\nAnswer: -49751.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (43*m + 34 - 34 + (2 - 2 + m)*(-1 + 4 - 2))*(m**3 - 7*m**3 + 3*m**3).\nAnswer: -132*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 - -10. Suppose -4*z - 39 = -17*v + 14*v, -4*v + 5*z = -50. Solve -5*u = -d*j - v - 1, -5*j + u = 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q. Suppose -o + j = 2 - 0, 4*o - 4 = j. Suppose o*f + 17 - 13 = 0. Let s(k) = -14*k. Calculate f*s(u) + 22*t(u).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the second derivative of v**6\/360 - v**5\/40 - v**4\/8 - v**3\/6 - 3*v. Let i(k) be the second derivative of x(k). List the prime factors of i(-3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*(s*s\/(s\/(s\/(s*s**2))))\/s*s)**43)**(-30) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -19591*v + 1112. Is d(-35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v = 558 - 493 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 32 + 70*o + 172 + 113*o + 167*o wrt o.\nAnswer: 350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97517.46 months in years?\nAnswer: 8126.455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1716*p + 112*p + 460 + 5956 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i\/i**(-2\/31)*i*i**(-7\/4)*(i**(-4\/7))**(-38) assuming i is positive.\nAnswer: i**(19121\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 97 + 498*f**2 - 199 + 1461*f**2 + 102.\nAnswer: 1959*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 2*o**3 + 18*o**2 + 13*o + 12. What is the lowest common multiple of n(-8) and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*m + m - 2 - 3*m)*(-104*m**2 + 5 + 214*m**2 - 111*m**2).\nAnswer: -2*m**3 + 2*m**2 + 10*m - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**3 + 6*u**2 - 34. Let k be w(-11). What is the highest common factor of 238 and k?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1331437427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*i**2 + 4 - 4)*(5 - 3*i - 5) - 71*i + 81*i - 10*i - 3161*i**3 in the form o + v*i**2 + w*i + n*i**3 and give n.\nAnswer: -3167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -2*t + 3 + 13, -5*t - 3*g = -31. Let k be 3\/t + 34\/10. Suppose 524 = k*c - 272. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2 + 18*f + 75. Let s be j(-6). Solve -5*o - 8 = -4*u + 23, -s*o - 4*u = -7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -243 - -307. Let a(y) = 2*y - 6. Let m(g) = -3*g - 2. Let v be m(-3). Let n be a(v). Calculate the greatest common factor of n and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12927 = -605*g + 988 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + 1879 = 432*l + 13570 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -29  (b) -2  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 plus -84846665199?\nAnswer: -84846665201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 7.2, 294, 0.4, 0.2, -10, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*d + 2*s, 5*s + 36 = d + 7. Suppose 0 = 4*z + d, -2*p - 4*z = -8*z - 56. Calculate the remainder when 187 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4.4686 - 3.16795. Let t = 1.409 - 0.109. Let j = t - o. Round j to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5596205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8\/(1 - (-2)\/2). Suppose 5*o + t = 29. Let k = o - 2. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/396 and -115\/3366.\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 105251265591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1222868.\nAnswer: 2, 305717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 55405 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -46029 less than -39.1443?\nAnswer: 45989.8557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1\/2  (b) -10  (c) -0.07  (d) 99  (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 479*m - 954*m + 477*m + 7 - 7.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 424585, 424278, 423971, 423664?\n\"Answer: -307*j + 424892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -286 + 4*c - 1783 - 3*c - 956 to the form n*c + k and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -4037, -8074, -12111, -16148, -20185?\n\"Answer: -4037*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(33)\/(-6*sqrt(11)*-1).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1, -57, -243, -623, -1263, -2229, -3587, -5403?\n\"Answer: -11*t**3 + 2*t**2 + 13*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - r - 2*c = 112, 3*c = -4*r + 196. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 312 and 11608.\nAnswer: 452712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 236719620*g**4 - 5646377*g - 7.\nAnswer: 2840635440*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/(-76) + 1\/(-12)*5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*t - 191*t - 394*t)*(-2*t**2 + 4*t**4 + 2*t**4 - 3*t**4).\nAnswer: -1692*t**5 + 1128*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -28544009*y**3 + 399*y**2 - 84462*y wrt y?\nAnswer: -171264054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 19, 4, -5, 53?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 312749*u**2 - 210*u + 210. Is t(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1749  (b) -0.2  (c) 59  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000001101011011111111110010 - -10?\nAnswer: 10000001101011011111111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - (12 - 16) - (-11)\/3.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**3\/2 + 19*a**2\/3 - 23*a\/6 - 65\/3.\nAnswer: (a - 2)*(a + 13)*(3*a + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.007 times 27246\nAnswer: 190.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 28.966 + 0.034. Let d = r + -29.2. Let w = -2\/7 + 20\/21. Which is the nearest to d?  (a) 3  (b) -1\/3  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 284 bigger than 286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of s**2 + 134*s**3 + 3*s**5 - 134*s**3 wrt s.\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 399, 388, 377, 366?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5950518 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 9. Suppose 21 = -w*t + 61. Suppose -t = -2*d - 2*d. Solve -d*h + 21 = -s - s, -s = -4*h + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 10 = -4*t, 0 = -4*t - z + 14 - 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 146548408 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2096, 5, 2, 0, -100 in descending order.\nAnswer: 2096, 5, 2, 0, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/2*((-31704)\/(-1440) + -22)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -2\/5*b**5 - 2508\/5*b**3 - 20216\/5*b**2 - 41154\/5*b - 24*b**4 + 0 = 0.\nAnswer: -19, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes after 2:56 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -276628*d**2. Let c(j) = -j**2. What is f(c(z))?\nAnswer: -276628*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1080)\/(-6210) - 5632\/(-1472)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11.46446l to millilitres.\nAnswer: 11464.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -16*w - 3. Let k(d) = -8*d - 2. Let r(i) = -5*k(i) + 2*v(i). Suppose -4 = -4*j + 12. Let s(g) = -j + 2 + 17*g + 11. Determine -13*r(z) + 6*s(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6126 (base 8) to base 10.\nAnswer: -3158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(3\/8)*z*z**7)\/(z**(-2)\/(z\/(z*z**(2\/5))*z)) assuming z is positive.\nAnswer: z**(449\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**2 - 7*j - 29. Calculate r(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 118489 + 27\/((-432)\/32) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:26 AM and 2:18 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 28142393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (40\/15)\/(4\/6). Suppose -6*q + v*q = -10. Solve 0 = -3*l + w + 14, 0*l + w = q*l - 20 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 8*i**2 - 321*i + 52. Let m be x(40). Solve -3*s = -3 - m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes after 3:50 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 210 - 201. Suppose -m*t = -14*t + 4*a + 7162, -3*t - 5*a + 4312 = 0. List the prime factors of t.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the third derivative of -x**5\/4 + 5*x**2. Let g(c) = -c. Calculate u(g(t)).\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.1, -92, 5, 6.\nAnswer: -92, -0.1, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 3 = 0, l - 2*i = -0*l + 8077. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 13) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (2 - 0) + -2 + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/1866796 and -27\/2.\nAnswer: 1866796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2*m - 5. Let z(i) = -71*i + 565. Let w be z(8). Let t(c) = 2*c - 5. What is w*r(x) + 2*t(x)?\nAnswer: -2*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:14 PM and 2:42 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*k + 32980 = 307*k + 596*k for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**3 - 12*d**2 - 13*d + 13. Suppose 0 = 5*a - 31 + 11. Let o(u) = 7*u - 4. What is the remainder when o(a) is divided by k(13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2959*j**6*s**3 + 2*j**6 + 4679*j**2 + 3*j*s**3 wrt j?\nAnswer: -355080*j**3*s**3 + 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2393.\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 90 - 86. Suppose 4*u + 2 = 3*u, 0 = 2*h - 3*u - 12. Calculate the smallest common multiple of n and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 49362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - (-3 + 0 + 4 + -4 + -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -2*w. Let s(m) = 5050531*m. Calculate l(s(b)).\nAnswer: -10101062*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -22 in -3, -1\/7, -20\/139, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 2*y**3 - y**2 - y - 2. Let g(c) = 2*c**3 - c - 2. Let k(i) = 3*g(i) - 2*n(i). Let l(h) be the first derivative of k(h). Is l(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001250563 rounded to seven dps?\nAnswer: 0.0000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 67 + -38. Suppose 7*t = -8 + d. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -22 + 23. Sort 3, 4, y in descending order.\nAnswer: 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-239)\/(-9) - (-1)\/((-7)\/(-28)). Let z = -116\/9 + h. Calculate the common denominator of z and 31\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-64)\/4 + 2\/8 and ((-6)\/56*-2)\/((-30)\/21).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -4*u**5\/5 + 44784*u**4\/5 + 179248*u**3\/5 - 537472*u**2\/5 - 1433856*u\/5 + 573440 = 0.\nAnswer: -4, 2, 11200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 + 6*u**2 + 4*u - 4. Suppose -9 = 2*j - 0*x + 3*x, -2*j = -3*x - 21. What is the units digit of q(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (7 - (23 - 3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/64 and -79\/76?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 63\/8 of a litre in millilitres?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 606 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.9352894237 to 5 decimal places.\nAnswer: 0.93529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 11 divided by 2465\nAnswer: 11\/2465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.7 times 41.424?\nAnswer: 236.1168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) -0.7  (c) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -v - 2*v**3 + 2878 + 4*v - 2*v**4 - 5*v**2 - 2879 to the form u*v**3 + c*v**4 + f + s*v + k*v**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 372*h**2 - 77*h**2 + 423*h**2 to the form v + p*h + j*h**2 and give j.\nAnswer: 718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of -40 - 1\/2*k**2 + 1\/4*k**4 - 23*k + 1\/3*k**3. Let x(v) be the first derivative of t(v). Calculate x(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2561*i + 835*i**3 + 2561*i - 149*i**3.\nAnswer: 686*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 20*l - 2407. Determine y(54).\nAnswer: -1327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 - 17 - 123*l**3 - 113*l**3.\nAnswer: -236*l**3 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5174 + -1639?\nAnswer: -67b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 36\/24 + 58\/(-4). Let k(y) = -21*y - 13. Let p(d) = 10*d + 6. Give a*p(u) - 6*k(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 44479\/4 + -11120. Sort -68, 16, o.\nAnswer: -68, o, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*r + 10*r - 36*r)*(-1 + 0 + 0)*(-3*r**2 - 4*r + 4*r) to p*r**3 + j*r + n + w*r**2 and give p.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*c + 1691 + 604 + 110 = -1267 for c.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11102110221101001001 - 1?\nAnswer: 11102110221101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*k + 3. Let l be ((-15)\/9)\/(k\/12). Is (2 - 21\/(-15))*l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -99950\/13 - -7689. Let c = -10 + 11. Are x and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*n + q + 2 = 59*n, -28 = 2*n - 4*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 119\/396 and 113\/60.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-four fifths of a millimeter in micrometers?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.2 or 329990897?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 752 and 48467152?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 2*o - 4*y, 4*o + y + 4 = 5*o. Suppose o*g - g - 5 = 0. Let k = -151 + 150. Sort k, 1, g in increasing order.\nAnswer: k, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1992 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6635453 (base 10) to base 14.\nAnswer: c4a24d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 517\/994 - -313\/71. Let u = 63258122809\/118862238 + 1\/1800943. Let q = 1609\/3 - u. What is the common denominator of t and q?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 2\/859228467?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 127310 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.034 minus -0.78?\nAnswer: 0.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 71\/(-7455)*(-448)\/96?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 23868 and 5304.\nAnswer: 47736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4480, 8839, 13234, 17671, 22156, 26695?\nAnswer: 31294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.059877 + -5.059877. Let u = 0.94 + -1. Let d = -2.94 + u. What is the nearest to -0.1 in d, y, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 - (-3 + 5) - -3 - (-2 + -54)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 460*y = 7119 - 19079 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 44 + -23. Let b be ((-144)\/30)\/6 + 139\/5. Suppose -25*k - 6 = -b*k. Solve k*p = -x - 13, x - 6*x = 4*p + f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 90 = 23*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37421.\nAnswer: 23, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 + 6*g**2 + 4*g - 4. Let z be o(-4). Let p be (z\/(-9))\/((-5)\/15). Solve -2*q - q = -h, h = -p*q + 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*o*v**2*y + o*v*y - 56*o*v - 235*o*y - o - 20*v*y wrt v.\nAnswer: -4*o*v*y + o*y - 56*o - 20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*d = -13*d - 17. Suppose -24*t = -d*t - 21. Solve t*c + 2*c - 25 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 6*u**2 + 124*u - 50. Give t(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -2*s**2 - 2*s - 1. What is p(-4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -88*n + 11 + 23 - 34 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4178 - -410277?\nAnswer: 405088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 939 - 371. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*p = -10*p + 28*p - 1209 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of h**8\/1960 + h**7\/735 + h**6\/1260 - h**3\/3 + 9*h. Let v(u) be the second derivative of d(u). Let v(n) = 0. Calculate n.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/5*-38*1360\/(-1689936)\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -782.966 rounded to the nearest integer?\nAnswer: -783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z + 3. Let f be i(9). Let s(n) = -n**2 - 5*n + 6. What is s(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - 4 - (9 + (18 - 14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 31, 52, 91, 154, 247?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-3)*s**(-3)*s**(3\/2)\/s**(-1\/8))\/(((s\/(s\/(s**0*s)))\/s*s)**(2\/107))**39 assuming s is positive.\nAnswer: s**(-4369\/856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(1300) - sqrt(1300) - (sqrt(39)\/sqrt(3) + -5))**2 - (-2 + -5*(sqrt(13) + sqrt(13)*-1)).\nAnswer: -8*sqrt(13) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 8 = -0. Is (h - (-2 + 3))*31 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**3 + 2*z**2 - 5*z - 4. Let a be h(-3). Suppose 0 = -2*l + 2*c + a, 5*l + 3*c - 23 = 2*c. Which is smaller: l or 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10010101001000 (base 2) in base 3?\nAnswer: 111002111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.41  (b) -0.6  (c) -15  (d) 33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01617292 to five dps.\nAnswer: 0.01617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 735982322 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 160, 749, 2336, 5419, 10496, 18065?\n\"Answer: 83*f**3 + f**2 + 5*f + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -31, 0.2, -4, -3?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-2)\/(-4) - (-66174)\/24*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12.2621769 nanoseconds to days.\nAnswer: 0.00000000000014192334375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (30\/(-36))\/(22\/(-43692)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from {p: 2, n: 1, m: 1, r: 2, f: 1, z: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -12918 times 86?\nAnswer: -1110948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 6\/17, 73\/3, 3\/4, -0.084 in decreasing order.\nAnswer: 73\/3, 3\/4, 6\/17, -0.084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: d (base 16) to base 10\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -2) + -2 + (-4 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6194 + -5377. Is d > 815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -71*d + 58*d + 26 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -3*2*sqrt(539))**2 - (sqrt(11) + -2*sqrt(275) - ((sqrt(11) + 1 + sqrt(11))*-6)**2).\nAnswer: 321*sqrt(11) + 21028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + d**2)*(5*d + 11*d + 2*d)*(0 - 1 + 3)*(-d + d + 2*d).\nAnswer: 72*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v + 6. Let t be h(3). Suppose -o + t*o + l - 62 = 0, -8 = -2*l. Suppose 0 = a - 0*a - o. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16494 + -2611. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -12 + (5 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w + 2*w + 0*w)*(3*w**2 + 3*w - 3*w) - 12*w + 12*w + 16*w**3.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3029?\nAnswer: 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 3*j + 99 = -5*t + 1, -t - 130 = -66 - 62 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -10 + 4 - 9 - g. Let d = 30608 + -30619. Give p(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32 - i + 31 - i + 3*i.\nAnswer: i + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2.6, 23, -0.4.\nAnswer: -2.6, -0.4, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-1)*(-22)\/231\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1  (b) 5  (c) 2\/7  (d) 2\/197  (e) -1\/2  (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -2*k. Let g(p) = 737*p**2 + 230. Calculate g(y(x)).\nAnswer: 2948*x**2 + 230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11342632 and 236?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 3*y**2 - 4*y - 3. Let l = -2 - 0. Let p be q(l). Let d = -4 - -13. Solve -p = 5*g - 4*w, -4*g + d*g + 27 = -w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = -88, 302*z - 5*i = 304*z - 446 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 8 - (-3 + (4 - 7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:24 AM and 11:35 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*q**3 + 2*q**4 + 2*q**3 + (2032*q**2 + 620*q**3 - 2032*q**2)*(-2*q + 2*q - 2*q).\nAnswer: -1238*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9089485 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(475) + -3 + (sqrt(114)\/sqrt(6)*1 - sqrt(19)) + sqrt(19).\nAnswer: -3 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 30*s + 17 = 25*s, 5*s - 7 = -4*k. Let y be ((-6)\/8)\/k - 141525\/(-340). Calculate the highest common divisor of y and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -9*p - 7. Let y(u) = -4*u - 3. Let f(c) = -3*g(c) + 7*y(c). Let m(x) be the second derivative of 0*x**2 + 0 + 2\/3*x**3 - x. Calculate f(m(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - 0*c + 6. Suppose -69 + 19 = -c*k. Suppose 16*h**3 + h**2 - k*h**3 + 10*h**3 = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 15921540 and 1320?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 17709150*x + 72634277?\nAnswer: 17709150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 5, 0.01, -57?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 111404 (base 5) in base 13?\nAnswer: 1a71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes after 5:04 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 12694 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 398\/(2\/(-2)) - (-135)\/27. Let o = d - -396. Factor 0*j**4 + 1\/6*j + 0 + 1\/6*j**5 - 1\/3*j**o + 0*j**2.\nAnswer: j*(j - 1)**2*(j + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most -42\/30314611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**5*l\/l**(5\/2)*(l**(-2))**(-49))**21 assuming l is positive.\nAnswer: l**(4263\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*j - 4255 + 4253 - 148*j in the form g*j + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g + 5. Let s be k(5). What is the units digit of (-12)\/s*20\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -242*z = -298*z - 214*z + 19440 for z.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7176 or -7175?\nAnswer: -7176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 40 + -24. Let n(d) = -d + 8. Let i be n(6). What is the third derivative of 2*l**2 - 14*l**6 + 15*l**2 + y*l**i - l**2 wrt l?\nAnswer: -1680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -28710, -28717, -28728, -28743, -28762?\n\"Answer: -2*x**2 - x - 28707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 541289\/195 - 38640\/13. Let d = 201 + m. Calculate the common denominator of 82\/6 - -2 - 2 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*u + 2254 = -158. Suppose 285*t - 272 = u*t. Solve 11*c - 7*c + t = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 3*q - 12, -5*q + 20 = 5*z - 10. Calculate the least common multiple of 35 and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 4 = -0*r. Let v(s) = -1 + 0*s**2 + s + 6*s**r + 4*s**2. Let n be v(1). Let i(x) = -x**2 + 11*x - 6. Calculate i(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**2. Let y be d(0). Suppose -n = h - 6, 4*h - n + 4*n - 25 = y. Calculate the greatest common divisor of 14 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 7.522988 centimeters?\nAnswer: 75.22988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 364994012 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-1))\/(2\/20).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2805*r**4 + 5014*r**2 wrt r.\nAnswer: -67320*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 15) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (75\/18)\/(15\/30) - 8\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*w - 2*w - 6*w)*(2 - 2*w - 2) + 2*w - 5*w**2 - 2*w.\nAnswer: 29*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + 18 = -2*m + 3*i, -5*i + 7 = -m. Suppose p - 10 = -3. Suppose -5 = -m*c + p. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00002687826 to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0187445832 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3927111145 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**7*z**(-1\/12) assuming z is positive.\nAnswer: z**(83\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 - 14*f**2 - 16*f + 13. Let y be g(15). Let j = y + 7. Solve j*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 - 9 + 11*b**3.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -304*s - 288. Let v(g) = -21*g - 20. Let m(t) = -5*a(t) + 72*v(t). Let b(c) = -58*c - 54*c + 119*c. Determine b(m(q)).\nAnswer: 56*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - -0.5. Which is the closest to 1\/3?  (a) 13  (b) 2  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100475268613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 24884, 49769, 74654, 99539?\n\"Answer: 24885*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 > 12\/16123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*y - 72 = 0, y = 2*v + 23 - 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.03 + 0.17. Let s = 2.19935 - h. Round s to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m + m + 8. Let x be (m - 9\/(-2))*10. Calculate the greatest common divisor of x and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11 + -12. Let i be a\/2 + 14\/12. Let f = 1 - i. Calculate the common denominator of 37\/5 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 270*s = 255*s + 30750. Suppose 47*b = 45*b + 3*q + 1373, -3*b + s = 5*q. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -2*u + 126, 2*u - 247 + 91 = -4*v. What is the closest to 5 in u, -2\/5, -3\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/6, -612, -2\/5, -3, 0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 454577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 94200465, 188400919, 282601373, 376801827?\n\"Answer: 94200454*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -73*v**2 + 55*v**2 + 26*v**2.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 14157500 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l + 9*l - 24. Suppose l*t - 316 = -3*q + 160, -4*t + 992 = -4*q. List the prime factors of t.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 5*p + 0 + 0. Let c(q) be the second derivative of -q**3\/6 - 349*q. Calculate -3*c(s) - w(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvvvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1401504, 1401537, 1401570?\n\"Answer: 33*m + 1401471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -4*g + 6. Let v(r) = 3*r - 4. Determine 5*d(f) + 7*v(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -5146*o - 1171. Is x(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, 863 in decreasing order.\nAnswer: 863, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - s = -12. Let u be 21\/56*(9 + -1). Put u, s, 0 in descending order.\nAnswer: u, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 - 9*d - 1. Let p be c(-10). Let v = p + 15. Suppose -5*y + 65 = x, -v*y = x - 3*x - 38. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -624*r - 475*r = -50363 + 11898 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**3 - q**2 + 4*q + 5. Let j be 54\/(-15) - 10\/25. Let w be v(j). What is the derivative of 81 + 18*b**4 - 29 - 32 - w wrt b?\nAnswer: 72*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 z, and 1 v when three letters picked without replacement from {j: 1, z: 4, v: 1, s: 2, e: 3, x: 4}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in 0.06, 2\/5, 97, 3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-18)\/((((m*(m\/(m\/((m\/(m*m\/(m\/m**(-2\/9)*m)))\/m)))\/m)\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(-137\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 - r**2 - r. Let w(j) = -2*j**3 - 3*j**2 - 3*j - 1. What is 3*n(d) - w(d)?\nAnswer: 5*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14171, -58901, -133437, -237785, -371951, -535941?\nAnswer: -729761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -13907 + -6983?\nAnswer: -20890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 + f)*(0 + 1 - 2)*(-3 - 8 + 6)*(-3*f**2 + 0*f**2 - 1 + 2*f**2) to the form b*f + q*f**3 + o + r*f**2 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 1 + 2*w**2)*(3*w - 3*w + 2*w) - 4*w + 4*w - w**3 - 8*w**3 + 82*w**2 - 11*w**3 - 88*w**2)*(58*w - 49*w - 27*w).\nAnswer: 288*w**4 + 108*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 419781 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, 2, -367.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l + 4*l + l**3 - 31*l**3 - l.\nAnswer: -30*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 289 smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16 + -23. Let l(j) = -j - 7. Let h be l(v). Suppose 2*f + 4 = 3*b, 0 = 4*b - 4*f - 4. Solve x - b - 2 = h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40 divided by 72050.\nAnswer: 4\/7205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**2)**(-2\/17)*(b*b*b\/(b**(-5)*b))\/(b**(2\/7)\/b) assuming b is positive.\nAnswer: b**(890\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -83\/12 + 25\/4. Which is the smallest value?  (a) -3\/2  (b) s  (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 4*k - 10 = 0, -f - 38 = -4*f + 5*k. What are the prime factors of 36\/(-14)*((-344)\/f + 6)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -35.89, 4.\nAnswer: -35.89, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**3\/12 + 128895*y**2\/4 - 193341*y\/2.\nAnswer: -y*(y - 386682)*(y - 3)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 + 4. Let c be 3\/(-4) - (-725)\/(-20). Let s = c - -40. Sort l, s, 4 in descending order.\nAnswer: 4, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 216 and 601533.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 26*q**2 + 4*q + 1. What is the remainder when n(-2) is divided by 17\/(-3)*(-14)\/(84\/18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 84*f**2 + 88*f + 1393. What are the prime factors of l(-16)?\nAnswer: 3, 13, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 40266*q*w**3 + q*w**2 + 5*q*w - 538429*w**3 wrt q.\nAnswer: 40266*w**3 + w**2 + 5*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17386407 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes before 8:21 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2277397872?\nAnswer: 2, 3, 15815263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1448 + 1462 = -j. Let k(p) = -p - 10. Determine k(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 277 - 805. Calculate the lowest common multiple of ((-12)\/(-15))\/(1\/15) and 1\/(-5)*2 - y\/(-110).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -133, -291, -449?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-28))\/((-18936)\/(-4788) - 37 - -33)\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.106105 - -0.106. What is u rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -6*r**3 + 97*r**2. Let x(t) = 7*t**3 - 95*t**2. Calculate -6*l(v) - 5*x(v).\nAnswer: v**3 - 107*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34 = 4*n + 2*u, -43*u + 46*u = 5*n + 29 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -10*f**4 - 15*f**3 + 7*f**2 - 3. Let c = 6 + -3. Let k(a) = a**4 + a**3 - a**2 + 1. Let m(s) = c*k(s) + i(s). Factor m(q).\nAnswer: -q**2*(q + 2)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes before 12:41 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f - f + 21*f - 8*f - 7*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -2*k**3\/15 - 8292068*k**2\/15 - 8594798964578*k\/15 = 0?\nAnswer: -2073017, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 292, -5, -1\/2, -1\/50?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1252183495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 186 + -185.78. Let j = -1.38 + 3.16. Let u = z + j. What is the third smallest value in 0, u, -8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/23, 1689, 18 in decreasing order.\nAnswer: 1689, 18, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001885644 to five decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1536006953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 2  (b) -4  (c) 5  (d) -0.6  (e) 1213\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.049 + 0.0490016. Round b to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 5*r - 6. Let g = 17 + -15. Let j be i(g). Suppose -13 - 7 = 2*d - j*v, 3*d = -5*v - 85. Is d less than or equal to -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2790009 (base 10) in base 13?\nAnswer: -768bc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 - 1. Let p = 0 + o. Suppose -4*w + 0 = 4. Sort w, -2, p in descending order.\nAnswer: p, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = z - 5*p + 2, p - 3 = 0. Let m = 18 - 15. Let i = -0.43 + 0.03. What is the smallest value in m, z, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -0.5, 0.03, 30, 0.103, 1\/107?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 - 31432087006088.\nAnswer: -31432087006089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r**4\/9 - 134*r**3\/3 - 20396*r**2\/9 - 6400*r\/3 + 40000\/9 = 0 for r.\nAnswer: -100, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -39*m + 79*m - 2*m**3 - 3*m**3 - 40*m - 24. Let o(z) = z**3 + 1. Determine d(g) + 3*o(g).\nAnswer: -2*g**3 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**2 - 13*b - 30. Let s be j(15). What is the units digit of -2 + 0\/(-2) + 23 + s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 238999095 and 34040?\nAnswer: 4255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 70 and 434?\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*j + 23 = -l, -20 = 798*l - 802*l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -87892 plus -17.5?\nAnswer: -87909.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 203436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 275, 548, 821, 1094, 1367?\n\"Answer: 273*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:25 PM and 11:13 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11408 = -1771*j - 52348 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-42)\/(-9) - (-1)\/3. Suppose 0 = -2*w + 5 + r. Solve 3*j - 15 = 0, -3*v + 22 - 6 = w*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14401459151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-92)\/((-1)\/(-2)*-4) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from dmdmmmxdxmmdx.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w = -3*h - 17, 59*w - 5*h = 58*w + 19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 13, p: 6}. What is prob of picking 1 p and 1 l?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**2 - h - 1. Let o(c) = -15*c**2 + 5*c + 5. Let t(r) = -5*g(r) - o(r). Let n(s) = -475 - 13*s - 2*s + 236 + 239. What is t(n(k))?\nAnswer: 2250*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1174, 4650, 10432, 18514, 28890?\n\"Answer: -c**3 + 1159*c**2 + 6*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 9) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of -44781379.243 and -0.01.\nAnswer: -44781379.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -3 - (0 + -1 + 12). Let r = l + 14. Suppose -4*n + 14 + 2 = r. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -4 + ((-606)\/(-51) - 6).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -94\/7*a + 180\/7 + 2\/7*a**2.\nAnswer: 2*(a - 45)*(a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**2 - 3*q - 2. Let v be o(-2). Let t = 1365\/11 - 124. Which is smaller: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**2 + 14*f + 12. Calculate g(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 16*j**3 - 11*j**2 + 11*j - 1. Let v(b) = -3*b**3 + 2*b**2 - 2*b. What is -2*g(y) - 11*v(y)?\nAnswer: y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-2)*(-84)\/(-63)*-5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3885.68 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2996037, 2996029, 2996021?\nAnswer: 2996013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, p: 3}. Give prob of sequence vpp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the first derivative of -u**6\/3 - 24*u**5\/35 + 2*u**4\/7 + 4*u**3\/3 + 3*u**2\/7 - 4*u\/7 + 6. Find g such that p(g) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + ((9 - -1) + -4 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*b - 2*s + 8, -4*b - s - 1 = -5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**2 - 3*f + 339. Let p be b(-20). Which is smaller: p or 110?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 15*12\/(-15)*-1 and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z + 4*d + 5, -1 = 11*z - 10*z + 5*d. Sort -4, 1, z, 4.\nAnswer: -4, z, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2871 is divided by 514.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are -519597 and -519597 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-78)\/(-10) + ((-20)\/(-30))\/(30\/9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 PM and 8:39 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1722*t = -794*t + 72762 + 161226 for t.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10 and 4404000?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.28 - -0.08. Let y = -1.36 + r. Put y, -0.5, -13 in decreasing order.\nAnswer: y, -0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -77 at most as big as -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -80*t**2 + 120*t - 45.\nAnswer: -5*(4*t - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -307 + 32a?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13339370 by -2.\nAnswer: -6669685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*d + 3 + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 37.78 + 0.22. Let p = t + -36.5. What is p rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of 1\/50*b**5 - 27\/5*b**2 + 0 - 3\/10*b**4 + 23*b + 9\/5*b**3. Factor f(q).\nAnswer: 2*(q - 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -49462659 * -5\nAnswer: 247313295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 66*l**5\/7 + 2633*l**4\/7 - 725*l**3\/7 - 18164*l**2\/7 - 14620*l\/7 - 2400\/7 = 0. What is l?\nAnswer: -40, -2, -2\/3, -5\/22, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 952 and (-21)\/5*((-365500)\/60)\/43?\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 6 + -19 - (-2 - 3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -8*g**2 - 2*g + 2. Let x be c(1). List the prime factors of -12*-2*(-7)\/x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3351 or 3352?\nAnswer: 3351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1220 + -1197. Calculate the highest common factor of t and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * 8.05725.\nAnswer: 40.28625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24.49 + 0.31. Let w = -523674.8293 + 523650. Let n = w + s. Round n to three decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h = -f + 3560 - 3575, -f = -2*h + 35 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1241 + 1249. Calculate the greatest common factor of f and 656.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 2*b = -7*b + 157, -2*i + 81 = 5*b. Let l = i - 22. Suppose 3*r + 5*v + l = 0, -2*v = -6*r + 2*r + 22. Solve r*m = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0+1572155.5\nAnswer: 1572155.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -49 + 48.9752. Let c = 15.9 + -15.88. Let n = c + z. Round n to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5928.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*c - 22*c + 94 = -11*a, -c + 17 = -a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 2*l**3)*(0 + 1 - 2)*(39*l + 27 - 27).\nAnswer: -78*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6.103 - -3.103. What is the nearest to 0 in 2\/5, n, 1, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -13, 4, -4 in decreasing order.\nAnswer: 4, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uxoxuppxoxoxoppxxu. What is prob of picking 1 x and 1 p?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18)\/sqrt(144) + sqrt(14)\/(sqrt(175) - sqrt(7)) + (sqrt(22) + sqrt(22)*2)\/sqrt(11)*6.\nAnswer: 37*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 33322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ogq when three letters picked without replacement from {h: 2, z: 1, q: 1, o: 1, p: 1, g: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1027689 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1373*h + 3*h**2 + 28*h + 633*h.\nAnswer: 3*h**2 + 2034*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together 614182423106 and -0.08.\nAnswer: 614182423105.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = -122*f + 127*f - 14, 5*f - 4*x - 32 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2 - 9*o + 9. Let s be j(8). List the prime factors of 50 - ((-4)\/s + 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 467663037.\nAnswer: 3, 701, 222379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/(-6))\/(45\/6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2210022121 (base 3) in base 12?\nAnswer: 27937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of 1\/6*z**4 - z + 0*z**5 + 26 - 1\/15*z**6 + 17\/2*z**3 + 0*z**2. Find the second derivative of y(k) wrt k.\nAnswer: -24*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + s + 3289 = -4*s, 1 = -s. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-26 - (-22 - -30)) + -1 + 10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, 375, -8 in ascending order.\nAnswer: -8, 23, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*u**5 + 1 - 80*u**3 + 80*u**3 - 5*u**3 + 5*u**3 - 5*u**5 + (u**4 + 2*u**4 - 4*u**4)*(-u - 6*u + u).\nAnswer: 3*u**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 431852826?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of c**5 - 9908547*c**3*v**3 - 1577*c*v**2 + 2806*v**3 wrt c.\nAnswer: 20*c**3 - 59451282*c*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 - 12*n + 9. Let v be k(-9). Let l be 24\/v*174\/(-4). Let t(s) = s**3 + 7*s**2 + s + 6. Let p be t(-7). Which is greater: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55088 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**3 - 73*x**2 - 153*x - 599. What is the remainder when a(-71) is divided by 43?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.083 + -2.917. What is the closest to -33\/5 in 0.55, -0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 16421 or -79?\nAnswer: 16421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 20*g**2 - 2*g. Let f be a(-2). Suppose p + 2*h = f, 4*p + 2*h = 4*h + 356. Let z = p + -6. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 387 divide 35827878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1359*p + 2577*p - 3916*p.\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((10\/(-45))\/(15\/45))\/(2\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -45 - -172. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9\/572 + -10553\/20020. Sort -2\/9, -5\/2, s in increasing order.\nAnswer: -5\/2, s, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -6 - -6) + (53 - (-4 + 21)) + -4?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6.99 + -7. Let z = s - -0.21. Is 0 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3822967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 4*k - 62 = 0, 0*i - 3*i + 58 = -k. What is the greatest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1674.5 != 36.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 39 = 2*o + 54, 4*o = b - 19. Solve -4*r - b = -35 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 10*a - 8. Is y(6) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -488, -1915, -4294, -7625, -11908?\n\"Answer: -476*c**2 + c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from msbsbsbbmbmibbmo. Give prob of sequence oss.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1286144, -2572290, -3858436?\nAnswer: -5144582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 - -6. Suppose 5*w = -64 + t. Do -8 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2659003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14 by 91.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the first derivative of -2 - 4*u - 3\/2*u**2. Does 3 divide c(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**2 + 2. Let z(c) = c**2 + 2*c + 3. Let b be z(-2). Let n be g(b). Let s = 13 + n. Calculate the smallest common multiple of s and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5494*w = 5495*w - 10. Solve 2*u = -5*v - 4, v + 4 = 4*u - w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 48 and 564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6160 - 6194. Put -3\/2, -1, -2\/9, k, 6 in descending order.\nAnswer: 6, -2\/9, -1, -3\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 588\/28*(-1)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2115.282 months in years?\nAnswer: 176.2735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1176 + 4603. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -18*l. Let p(b) = -4*b - 4 + 3*b + b + 2*b**2. Let z(k) = 2*k**2 - 5. Let u(h) = 5*p(h) - 4*z(h). Calculate m(u(i)).\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 2 u when four letters picked without replacement from jjjjrjuujuurj?\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 3*f = 55, 3*f + 7 = -8. Let j = 3 + -3. Suppose 9 = -j*w + 3*w. Solve w*t + 3 = 5*i - t, 0 = 5*t + y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * 0.03473.\nAnswer: 0.06946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14944*p - 14932*p + 29848*p.\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*m**3 - 5*m**3 - 8*m**3)*(-45 + 45 + m) to g*m**3 + b + r*m**2 + x*m + h*m**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 54344 + -54350.0037. Let k = -6 - q. What is k rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8104*o**2 - 6308*o**2 + 4230*o**2 - 2449*o**2 - 6677*o**2.\nAnswer: -19308*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 divided by -106?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -18 in -3, 0.02, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 5*o = 21430995, -2*c - 5*o = 58001143 - 15139138. Round c to the nearest 100000.\nAnswer: -21400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r - 3. Let a be z(-5). Let y = 0.3 + -0.8. What is the closest to 2\/3 in 1\/5, a, y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 735\/63 + -5 + -4 + 30\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 657*i*l**6 - 180*i*l**3 + i*l**2 - 61*i*l + l**3 - 13*l**2 + 84 wrt l.\nAnswer: 78840*i*l**3 - 1080*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 122436 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 2. Let p(m) = 237*m**3 + m**2 - 2*m + 1. Let h be p(g). Suppose -4*t = -t - h. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 times 2.3?\nAnswer: 52.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1059, 2078, 3111, 4164, 5243?\n\"Answer: x**3 + x**2 + 1009*x + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j**2\/7 + 344*j\/7 + 29584\/7 = 0. Calculate j.\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -6*q + 1. Let g be i(-1). Suppose 3*w = g*w. Suppose 0 = -w*f - 5*f + 15. Solve f*l + 6 = -5*b - 5, -5*l - 3*b = 13 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 125?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 27*b**3 - 2*b**2 - 2202*b. Let h(t) = -81*t**3 + 8*t**2 + 6606*t. Let r(l) = 3*h(l) + 8*x(l). Find the second derivative of r(k) wrt k.\nAnswer: -162*k + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {e: 4, v: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/623880 and 7\/554560.\nAnswer: 4991040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the first derivative of -t**6\/360 + 7*t**4\/24 - 4*t**3\/3 - 17. Let j(s) be the third derivative of r(s). What is j(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25, 23, 21, 19, 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10372336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-9)\/(-12) - (4 + (-51)\/12). Let r be (-1 + l\/3)\/((-6)\/9). Sort r, -11, 0 in decreasing order.\nAnswer: r, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 - 23*h**2 - 3*h - 69. Let y be u(-23). What are the prime factors of (-2 + 3)*197*(y - -3)?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11033341 (base 6) to base 10.\nAnswer: 331261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*l**2 - 560451*l + 22983534.\nAnswer: -3*(l - 41)*(l + 186858)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/722 and -27\/380.\nAnswer: 7220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3736, 5929, 8122?\nAnswer: 10315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -36  (b) -2\/5  (c) -2\/119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 48, 30, 2.\nAnswer: 2, 30, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116860 is divided by 203.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 846 or 2542\/3?\nAnswer: 846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1a + -15?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -205*z**3 - 1103*z?\nAnswer: -1230*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8c41 (base 16) in base 13?\nAnswer: 1345c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {k: 4, t: 2, r: 3, b: 1, w: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60 + 294*d - 175 - 312*d + 57 + 58.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/9*(-24)\/328*-1. Let b = -2105\/861 + o. Which is bigger: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 150, 617, 1400, 2499?\nAnswer: 3914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1847*c = -1896*c. Let y be 1\/((1 - 2)\/(-4)). Suppose -3*x + 5*m = -20, -m = x - c*x + y. Is x equal to 4\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/((21\/6)\/(-7)). Let n be 0 + -2 - (1 - r). Which is the closest to -2?  (a) n  (b) -4  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 - 7 = 5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -989257 (base 11) to base 6\nAnswer: -53501330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 2*z + 4, 4*z - 6*z = 4. Suppose g*k = -2*k + 8. Let w(y) be the first derivative of y**2\/2 - y - 1. Determine w(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/9)\/(((-42)\/(-9))\/7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(8\/7)\/d)**(2\/59) assuming d is positive.\nAnswer: d**(2\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 433 = 8*g - 1175. Calculate the remainder when g is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2845099 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1785349*i**4 - 1896226 wrt i.\nAnswer: -7141396*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/18*(7936\/155)\/32.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z. Let l(k) = -3*k**2 - 3*k - 34. Give a(l(b)).\nAnswer: -3*b**2 - 3*b - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 4556908755?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 2 x when four letters picked without replacement from xjttjxxxxjt?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-41 - -49 - (26 - -1)) + 4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37263.\nAnswer: 3, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the first derivative of -1\/3*j**3 - 4 - 1\/4*j**4 - 1\/2*j**2 - j. Let o be v(-1). Solve o = -0*t - 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1513, -1529, -1557, -1603, -1673, -1773, -1909, -2087?\n\"Answer: -p**3 - 9*p - 1503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 4*f + 43 - 35 = 0, -3*f = -2*s + 13. Let o = 5 + -4. Put -1, s, 2, o in increasing order.\nAnswer: s, -1, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-1\/11))**(-40) assuming m is positive.\nAnswer: m**(-480\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (-12 - -13) - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -101.56425 + 102.08. Round p to 2 dps.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -81.\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15974?\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 1368006.9 to the nearest ten thousand.\nAnswer: 1370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 - 18 - -14) + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.366 - 0.056. Let j = -10.69 - d. Let m be 1\/(-9) + 1*6\/(-27). Which is greater: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4448 is divided by 1125?\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -43*w**2 + 15 - 12 - 3 as j + d*w + x*w**2 and give x.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 0.3, -1\/13, 29.9, -472?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8062 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34, 33, 14, -29, -102, -211, -362, -561?\nAnswer: -814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/36*8 - (0 + 2). What is the biggest value in u, -5, -3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from ssssnsnnnnnsnsnsnss.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the second derivative of i**8\/336 - i**4\/24 - 2*i**2 + 5*i. Let s(f) be the first derivative of q(f). Find the second derivative of s(n) wrt n.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 3*b + 1 = 0, -5*g + 8*b - 13 = 5*b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -14*p + 741. What is the hundreds digit of h(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1457548798 to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26435 + 24443 - 2*k**3 + 4*k**3 - 50878 - 3*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 60 - 62. Which is greater: -3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -143, -276, -399, -512, -615?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*s - 7*s + 21*s - 10*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1236 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 108\/(-1242)*(-6992)\/32.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the third derivative of 0 - 2\/3*y**3 + 15*y**2 - 7\/24*y**4 + 0*y - 1\/60*y**5. Let z be (4\/(-2))\/((-1)\/(-2)). Give r(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 3*n**2 + 4*n - 4. Let y(k) = -5*k**2 - 5*k + 3. Determine 3*f(r) + 4*y(r).\nAnswer: -11*r**2 - 8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -6*r - 9. Let o(i) = 3*i + 2. Let m(s) = 2*s + 1. Let a(q) = -6*m(q) + 5*o(q). Give 9*a(j) + 4*w(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -29 + 9. Let a = -2 - b. What is the remainder when 55 is divided by 2 + a + 0 + -1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l - 12 = -3*l. Let v(k) = -k**3 + 3*k. Let u(d) = 2*d**3 - 4*d. Suppose 9*t = -14 - 13. Give l*v(z) + t*u(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = r - 6*r + 27, -4*c + 2*r = 14. Which is smaller: -0.1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4970*w - 4914*w + 1232 = 0 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p**5 - 126500*p**4 - 6080664*p**3 - 17482952*p**2 - 17229932*p - 5701140 = 0. What is p?\nAnswer: -45, -1, 31673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.04  (b) 167  (c) -664  (d) -5  (e) -0.068\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 5*y - 6 = -38, 2*y = b - 14. Let a(s) = 0*s + s**2 - s + 0 + 7. Is a(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 98*n + 12. Let i(x) = 12*x + 1. Give -51*i(c) + 6*s(c).\nAnswer: -24*c + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= -2\/1323448517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + y = -43, -3*y - y + 10 = -z. Let d = z + 23. Suppose -3*t = -10 - 14. Is d > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -160 divided by 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2 - -7) + -2 - 8) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -248592, -251138, -253684, -256230, -258776, -261322?\n\"Answer: -2546*f - 246046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 10 + 0 + -9 - 9\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.295582277 greater than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.566182 take away -268?\nAnswer: 268.566182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -146*j**4 - 28752*j**2 - 3*j - 28391479?\nAnswer: -584*j**3 - 57504*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -9821, -9823, -9827, -9833?\n\"Answer: -b**2 + b - 9821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 100 a factor of 188022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -281*k**3 + 3*k**2 - 13*k + 1115. Let i(c) = -141*c**3 + c**2 - 6*c + 462. Let j(p) = 7*i(p) - 3*s(p). Find the second derivative of j(q) wrt q.\nAnswer: -864*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 - 1) + 3*1. Let s be ((-1)\/3)\/((-60)\/72). Which is the biggest value?  (a) w  (b) -3  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -5*x + 3. Let q(c) = -c**2 + 8*c - 5. Let k(o) = -3*q(o) - 5*s(o). Let d(h) = 3*h**2. Give k(d(f)).\nAnswer: 27*f**4 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 565372 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:36 AM and 4:45 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 491947 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 3*m = -7*m + 15, 3*h - 4*m + 69 = 0. Let f = -14 - h. Suppose -n + 11 = -f. Does 24 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 4:02 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*x = 17*x + 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 + 12. Suppose -z*i = i. Suppose 22 = 2*y + s + 3*s, i = y - s - 2. Solve 5*q + 2*o + 8 = -20, -20 = y*o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1296 or -1334?\nAnswer: -1334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2 - 3*m**3 + 4*m**3 - 3*m**3 + 0*m**3 + (-m**2 + 1 - 1)*(2 - 2 + 2*m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of -13*u**4\/4 + u**2 + 2*u - 736. Let i(m) = 754*m**3 - 117*m - 117. Give -2*i(q) - 117*r(q).\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -2*f. Let j(c) = -1438*c**2 + 2*c - 11. Calculate v(j(y)).\nAnswer: 2876*y**2 - 4*y + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 82818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 23 + 29 = 4*l, l = 4*n + 20. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**2 + 3*q**2 - q**2)*(-1 + 2*q + 1)*(-q**2 + 0*q**2 + 0*q**2).\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3853*i**5 - 167*i**4 - 2*i**3 - 5803209*i**2.\nAnswer: 231180*i**2 - 4008*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b611 (base 12) to base 16.\nAnswer: -4dad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -855 + 1150. What is the remainder when x is divided by 168?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-83*(-1900)\/8300)\/((0 - -2)\/2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-21)\/(-70)*1\/((-18)\/(-4)). Let h(q) be the second derivative of 0*q**3 - 1\/25*q**5 - 7*q + 0 - t*q**4 + 0*q**2. Find m, given that h(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - 1 - (-8 + 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 195 - -25. List the prime factors of b.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -79*z. Let j(f) = -685*f + 301*f + 286*f. Calculate j(x(g)).\nAnswer: 7742*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 169296 and 2208?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -4*z + 28, -3*a + 2*z = -3*z - 2. Let l = 0.40473 - -0.09527. What is the closest to 4\/9 in -4, a, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -3*x**2 - x + 7. Let z be w(-5). Let f = z - -75. Solve 2*u = 3*h + 19, 5*h + f = -13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the third derivative of t**6\/60 + 21*t**5\/20 + 73*t**4\/8 - 8*t**2 - 12. Find the second derivative of m(o) wrt o.\nAnswer: 12*o + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 31 - 28. Let a = -17 + 26. Let s = a + -5. What is the smallest common multiple of o and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 217600.9 decades to centuries.\nAnswer: 21760.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - -8. Solve 0 = g + 4*h - 3, 2*g + 3*h - q = 7*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.305869 rounded to 3 dps?\nAnswer: 0.306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1468 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 8 = -5*h. Suppose 5*x - 5 = 2*u - 5*u, -3*x + h = 5*u. Let f be (3\/2)\/((-10)\/(50\/(-15))). What is the closest to f in 5\/6, u, -4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5)\/(10\/(-198)) + -3. Suppose l = 5*w + d, 0 = 5*w + 2*d - 94 + 2. Solve -5 = -2*c - 5*x + 5, -x - w = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1\/7*d**3 + 39\/7*d**2 + 0 - 248\/7*d = 0. Calculate d.\nAnswer: 0, 8, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -330*h - 29. Let a(c) = -165*c - 13. Calculate 9*a(v) - 4*r(v).\nAnswer: -165*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.6036765588 to 2 decimal places.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**3 + b + 1. Let u(j) = 2*j**2 - 3 - 7*j - 151*j**3 + 3*j + 154*j**3. What is u(a) + 4*z(a)?\nAnswer: -a**3 + 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:04 AM and 3:03 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -21442114*p**3 - 16809384?\nAnswer: -64326342*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 7 - ((-2 - 2 - -1) + 9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -57*p**2*q + 679*p**2 - 2*p*q + p - q + 102565 wrt p.\nAnswer: -114*p*q + 1358*p - 2*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24*j - 9*j + 20*j to k*j + w and give k.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 9 = 2*d + 8*t, -3*d = -2*t - 4. Suppose 4*c - 22 = -2. Suppose -c*q + 65 = 5*v - 0*q, 2*v + d = 5*q. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/236 and -89\/134520.\nAnswer: 134520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-185) + (-263872)\/2294 - 17?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1423, -2948, -4671, -6694, -9119, -12048, -15583, -19826?\nAnswer: -24879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 406*w**3 - 51*w**3 + 434*w**3 + 0 + 1.\nAnswer: 789*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -15475, -1, 15, -7 in decreasing order.\nAnswer: 15, -1, -4, -7, -15475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -2*z**3 - 40*z**2 + 1672*z + 35059. What is s(-22)?\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1886 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002026 rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1236*g - 83*g - 562*g + 12 to d*g + y and give d.\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 314 and 1076392.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of 0*a**4 + 11\/120*a**6 + 3 + 0*a + 0*a**5 + 1\/210*a**7 + 5\/2*a**3 + 8*a**2. Differentiate w(f) with respect to f.\nAnswer: 4*f**3 + 33*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 v when three letters picked without replacement from hvvvvvv?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(612) + (-2 + sqrt(612))*4)**2 + -4 + -5*((2*sqrt(136)*-1)\/sqrt(8))**2.\nAnswer: -480*sqrt(17) + 15020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f*(f\/((f**2\/f)\/f))\/f)**(-1\/84)\/(((f\/(f**(5\/6)*f))\/f)\/(f\/f**(1\/3))) assuming f is positive.\nAnswer: f**(52\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 885 - 834. What is the highest common factor of 408 and t?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13 - -15. Suppose p*o - 12*o = -310. Let l(m) = -3*m**3 - 4*m**2 + m - 2. What is the remainder when l(-4) is divided by o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*s - 13 = t + 21*s, s + 16 = -2*t. Let b(f) = f**2 + 2*f + 8. Give b(t).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 194*d - 139. What is the remainder when 264 is divided by v(1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/(-30))\/((-4)\/(-5)). Let d = 3 - 6. Let w = -8 - d. Which is the second smallest value?  (a) -3\/7  (b) w  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1)\/2 + 28\/168)*-1. What is the third biggest value in 5, v, -2\/81?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -2 + 1 - 8 - 43*o + 5. What is the tens digit of s(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + 28 + 24. Suppose 5*g - 3*g = 2*c + v, c + 4 = 0. Solve 2*x + 3*x - g = -t, x = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the second derivative of c**7\/21 - 19*c**6\/2 - 7*c**4\/12 + 4*c**3 + 4271*c + 1. Find the third derivative of w(m) wrt m.\nAnswer: 120*m**2 - 6840*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 4*k - 7 = 0, 3*a - 4*k = -16*a + 10*a + 31 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/(3 - (-2 + 4)). Suppose -8 = -p - w. Suppose p*k - 12 - 8 = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.191, 0.5, 5, -1\/3 in increasing order.\nAnswer: -1\/3, 0.191, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*q**3\/5 - 78*q**2\/5 + 124*q\/5 - 48\/5.\nAnswer: 2*(q - 3)*(q - 2)*(7*q - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 638097*o**5*v**3 + 39*o*v**3 - 525*o wrt o?\nAnswer: 12761940*o**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d. Let h be m(3). Suppose 2*t + h*q = 3*t - 38, 4*q = 2*t - 76. Suppose 2 = 4*w - t. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1183 and 25000703.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*c - 30*c**2 - 765 + 765.\nAnswer: -30*c**2 - 34*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 312493 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2748831961 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zvivzzz. Give prob of sequence zv.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, o: 5, g: 3}. Give prob of picking 1 g and 3 o.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -36*k - 2254. Calculate the remainder when 45\/1*1\/1 is divided by t(-63).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 81\/5500 and -83\/1100?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 2*c - 0, 2*b = -5*c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25368311, -25368317, -25368325, -25368335, -25368347, -25368361?\nAnswer: -25368377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0458555 to 4 dps.\nAnswer: -0.0459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 5 + 17. Let n be (0 + 18\/x)*12. Let i = 81 + n. What is the remainder when 105 is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = 5*f + 5, 2*b - 3*f - 30 = -b. Let z = b + -6. Let v = 1 + z. Solve v = 3*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 255 - 150. Let s = -101 + u. Let f(d) = d**3 - 4*d**2 + 3*d - 5. Give f(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -358 - -361. Suppose 0 = 5*o + 2*p, r*o - 8*p - 21 = -5*p. Find j such that 0 + 1\/5*j**3 - 3\/5*j + 2\/5*j**o = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -2*p. Let n(i) = -24*i**2 + 4*i - 4. Let b(g) = 120*g**2 - 21*g + 21. Let d(a) = 4*b(a) + 21*n(a). Calculate d(w(k)).\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 + 2*r**2 + 2*r + 3. Calculate q(3).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 30*h*r**3 - 82*h*r**2 + 32*h - 142*r**3 + 2*r**2 + 25738*r wrt r.\nAnswer: 180*h*r - 164*h - 852*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 0*i + 2*i - 4*i + 5*i**2 - i**3 + 4. Let x be 1 - ((-3)\/1 + 2). Let k be (-5)\/(2 - 1 - x). Give j(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -18\/79  (b) -0.04  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -128214 - 0.1?\nAnswer: -128214.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/7, 4, -0.2, 0.1, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xukuxxujxkxxxxuj. What is prob of picking 2 k and 2 u?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3 - 2256.95246.\nAnswer: -2257.25246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 65*l - 28*l - 71*l.\nAnswer: -34*l - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2600?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*t + 5 = -15*t - j, 2*t + j + 5 = 0. Solve 4*c + d = -t*d + 3, 4*c - 13 = d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -15*1 + 0 + 3. Let h be (-112)\/u - 2\/6. Calculate the highest common divisor of h and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*c - c + 63 - 63 + c**2 in the form a*c + l*c**2 + y and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5\/(-20) + 243\/(-4). Let l be (222\/(-24))\/(2\/8). Let b = l - o. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 + 2 - 7)*(0 + 0 - 2*u**4) - 4*u**4 + 7 - 4 - 4.\nAnswer: 30*u**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 102 and 85578?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 + 16*x**2 + 17*x + 14. Let n(g) = -8*g - 375. Let u be n(-49). What is q(u)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 35012512 + -4?\nAnswer: 35012504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 - 17 = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -4827, -9669, -14515, -19365, -24219?\n\"Answer: -2*m**2 - 4836*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 43085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/2?  (a) -1.1  (b) 22  (c) 6\/17  (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 148*s - 63*s + 4 to t + y*s and give y.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 10*r = 0. Which is greater: 12\/17 or r?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*q + 6*q + 5*q.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**2 + 2*n - 4. Let m be z(-3). Suppose 4*u - 17 - 2 = -a, 0 = -u - 2*a + 3. Let r be 1\/(-3)*(-4 + 2). What is the smallest value in u, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 - 9*i**2 + 21*i + 30. Suppose 0 = 4*x - 20, -c - 3*x + 6 = 3. Is 30 a factor of a(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 175 and 8775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*d**2 + 19*d**2 - 7*d**2 - 4*d**2 + 5 to b*d + n + w*d**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 868?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6804553 + 10.028.\nAnswer: -6804542.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 34182263 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 45134663543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2303926 is divided by 177224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**2 + 4*x + 6. Let v be u(-4). Let y = -14 - v. Suppose -3*r = y, 112 = j - 4*r + 12. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14 + 14. Suppose -u - 13 = -2*z - q*u, 0 = -3*z + u + 18. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -62*w - 215 + 277. Put -1, -65, -2, 0, w in descending order.\nAnswer: w, 0, -1, -2, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20)\/(2*sqrt(144))*-1)**2*4.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 24707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1375800)\/(-36688)*8\/30?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 49 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0.4  (b) -3  (c) 1  (d) -0.2  (e) -4  (f) -6\/1037  (g) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -538\/3 + 179. What is the nearest to 1 in z, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from {g: 1, s: 2, x: 1, h: 3, z: 9}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 - 49 - 41*n**2 - 23*n**2 + 8 + 30 + 61*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -42390 <= -43707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-98))\/(54\/1260*10)*7\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*x**3 + 13*x**3 + 7*x**3 + (5*x + 1 + 0*x - 4*x)*(160*x**2 - 71*x**2 - 58*x**2) to g*x + i*x**2 + a*x**3 + o and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4 and 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -230, -881, -1968, -3491, -5450, -7845, -10676?\n\"Answer: -218*u**2 + 3*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*l - 3 = 25*l. Let d be (-48)\/(-18)*((-105)\/12 - l). Let k = 11 - 6. Sort k, -0.3, d.\nAnswer: d, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(931) - 4*sqrt(931)*1)**2 + (sqrt(931) + (sqrt(931) - (4 + (sqrt(931) - (0 + sqrt(931))))))**2 + (3 + sqrt(931) + sqrt(931)*1)**2*-2.\nAnswer: -280*sqrt(19) + 4653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7561 - 7558. Let a(z) be the second derivative of 0 + 1\/6*z**s + 1\/6*z**4 + 0*z**2 - 1\/15*z**6 - 1\/20*z**5 - 36*z. Factor a(i).\nAnswer: -i*(i - 1)*(i + 1)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*m + 4*m + 0*m)*(-16*m - 87 + 5*m + 10*m + 24*m) in the form x*m**2 + a + n*m and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 8.151224 grams?\nAnswer: 8151224000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -3. Suppose -3*o + 6 = -3. Suppose -8*y + o*y = -20. Suppose -23 = -y*r - 5*p - 0*p, -3*r = 4*p - 18. Let l(x) = x - 16. Determine r*l(s) - 11*w(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 158437?\nAnswer: 47, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**2 - 8*o + 1. Calculate the lowest common multiple of j(-5) and 182.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1)\/l*l)\/l)**(-10)*(l**(-2\/5)\/l)**(1\/8) assuming l is positive.\nAnswer: l**(793\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00007696119 rounded to six decimal places?\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -85 + 87. Suppose 12*j**3 - 6 + 19*j - 24*j**s + j - 208*j**4 + 206*j**4 = 0. What is j?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j. Let z(x) be the third derivative of x**5\/20 + 3*x**3\/2 + 13*x**2. Let y(p) be the first derivative of z(p). Determine l(y(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*k**2 - 4*k**2 + 2*k**2 + 3*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 21*i**2 - 1488*i - 72. Give s(71).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 5*a = -d + 5, 5*d + 49 = a. Let k = d + 7. Let v(y) be the first derivative of y**2 + 3*y - 1. Give v(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-12))\/((-3)\/(-48)*-6).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 3*i = 10*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -202.8 - -228. Round b to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(77) + (sqrt(77) - 1*sqrt(77)) + sqrt(77))*5*2)\/(1*sqrt(56)\/sqrt(2)))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 7*b - 4*b = 3, 0 = b - 5. Sort -2, j, 5, -61 in increasing order.\nAnswer: -61, j, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8150500 to the nearest 100000.\nAnswer: 8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 4*y + 8*y - 7*y. Let w be s(2). Let c = -5 + w. Solve -5*v + 40 = c*h, 4 = 4*h + 3*v - 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7556+-6124.6348\nAnswer: -13680.6348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -18 + 4 - (-2 + (-4 - 0)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -88 + 164. Let v = r + -76.26. Let a = v + 0.36. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 3*x + 2*m - 138 = 0, m - 141 = -2*x. Let y be 50\/15*(15 + 0). Let l = x - y. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, 39473, 2\/11, 1\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4085354032 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 59094.846 seconds in hours?\nAnswer: 16.415235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 16*f**3 - 23*f**2 + 8*f - 33. Determine n(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 + -8. Let h = 270.2 - 296. Let i = h - -25.9. What is the closest to 0.1 in y, 0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -940*u**3 - 894?\nAnswer: -2820*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -6*t**2 - 3*t + 5. Let s be v(4). Let d = 97652\/14409 + 1\/1601. What is the common denominator of d and 0 - s\/(-6) - 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2064406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 plus 21.33816408?\nAnswer: 10.33816408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 148\/111*1\/(-6)*-3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -259 - -96.75.\nAnswer: -162.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -3*r - 42, 4*w = -3*r + 4*r - 36. Let m be (-15)\/w*2 - -22. Let o = m + -20. Solve o*y + 8 = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 47*g - 110. Determine z(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -2*f**5 - 150*f**4 - 2754*f**3 - 2314*f**2 + 5220*f = 0?\nAnswer: -45, -29, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.8 + -1.7. Let n = z + -0.1. Let d = 3.6 + 1.4. What is the third smallest value in n, 2\/9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 121966713 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 72, 2, 0, -2, 1122 in descending order.\nAnswer: 1122, 72, 2, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*d**3 - 2*d**2 + 2*d**2 + d**3 - 5*d**3 + 3*d**3 + (-4*d + 0*d + 3*d)*(3*d**2 + d**2 - 3*d**2) + 1 - 1 - 2*d**3 - 5*d**3 + 6 - 6.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (40\/(-30))\/(4\/(-9)). Suppose -g*r + 10 = -r. Suppose 0 = 2*w + 3*w - 5, r*x = 3*w + 212. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 335*w**2 - 89*w**2 - 6*w - 74*w**2 - 73*w**2 - 70*w**2.\nAnswer: 29*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 = 36*a + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 23*j - 155. What is the remainder when 520 is divided by u(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 4, 3*x - 12*i - 59 = -17*i. What is the smallest common multiple of x and 50?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 + 1. Let k(j) = -j**2 + 16*j - 73. Let s be k(w). Let b be 3 - (1\/(-3) - s\/3). Sort b, -13, 1 in ascending order.\nAnswer: -13, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1178923241 to the power of 1\/2, to the nearest integer?\nAnswer: 34335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 68 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -101122 - -200?\nAnswer: -100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7032444 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*s - 332 = 25*s - 4307. Suppose -2*y - 46 = 166. What is the remainder when s is divided by (-2)\/(-6) - y\/6?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 23.72?  (a) -13  (b) 13  (c) 2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3.3 and -581.\nAnswer: -577.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -4*q**3 - 1. Let k be w(-1). Suppose 0 = -k*x - x + 24. Suppose -5*s = i - x, -i + 6 = -5*s + 20. What is the third smallest value in -0.5, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 168\/(-1302) + 6335\/(-155)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20096226 to the nearest integer?\nAnswer: 4483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9 + -1. Let s = j - -9.7. Which is the biggest value?  (a) -4\/7  (b) -0.2  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 58094921 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and -0.026?\nAnswer: -0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -5545 divided by -17\nAnswer: 5545\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00011337233 rounded to 6 dps?\nAnswer: 0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4553\/(-63742) - (-1510)\/(-28).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -237?  (a) 7.2  (b) -0.3  (c) -0.6  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 61 = -y, 4*b + 0*b - 4*y - 104 = 0. Let w = b + -27. Solve -3*q - q = -3*f + 11, -w*q = 5*f + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 6, 3, 12, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2323.39308 + -2263.392. Let f = q - 60. What is f rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3661538 (base 11) in base 15?\nAnswer: -85c9ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from ggenhghingdh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1483 = -646*i - 1747. Put -436, i, 1, -4 in decreasing order.\nAnswer: 1, -4, i, -436","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1\/4522 - -15665\/732564. Let a = -3127\/2268 + p. Calculate the common denominator of ((-69)\/(-36))\/(1 - 0) and a.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3 - (-3)\/6*94. What is the greatest common factor of b and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2968)\/(-5) + (-4 - 176\/(-40)). Calculate the greatest common factor of i and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 22*n - 34*n + 84. Let q = 11 - n. Sort -14, -1, -4, q.\nAnswer: -14, -4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 4*q = 220, 4*q + 322 + 8 = 3*i. Calculate the greatest common divisor of i and 605.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b + 14*s - 34*s = -0*b - 18*s + 16 - 2, 52*s + 124 = 4*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - 4. Let z be 2 - (-1 - t) - -3. Which is bigger: 2\/15 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 7*j**3 - 4*j**2 - 6*j + 6. Let k(q) = -q**3 + q**2 + q - 1. Suppose 11*w + 18 = 8*w. Calculate w*k(t) - p(t).\nAnswer: -t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -493640 by -40.\nAnswer: 12341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1207 - -1209. Which is the closest to h?  (a) -0.5  (b) -2  (c) -3  (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -292 - -a2?\nAnswer: -1e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -6*1*(-2)\/6. Let r be x + 2 + 0 + -1. What is the second derivative of -2*q**3 - 5*q + 6*q**3 + q**3 - r*q**3 wrt q?\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 69023519?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-1)\/(-4))\/((-84)\/(-792)) and -65\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 309269460 and 1140.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 179 + -169 + (-1 - 10) + (7 - 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 PM and 2:39 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 + -11. Let h = -2.00000003 + q. What is h rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1072, 4212, 9418, 16690, 26028, 37432, 50902?\nAnswer: 66438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 4, b: 10}. What is prob of picking 1 b and 2 o?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 10\/(-5) + 1 + 4 - -1. Let v(g) = -3*g**3 - 4*g**2 + 4*g. Let q(t) = 3*t**3 + 3*t**2 - 3*t. What is a*q(j) + 3*v(j)?\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -98, 386, -4, -1 in increasing order.\nAnswer: -98, -4, -1, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 795*u - 1588*u + 774*u.\nAnswer: -19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 - 5*a**2 - 3. Let o = 32 - 7. Let k = -35 + o. Let v(h) = -2*h**3 + 9*h**2 + 5. Let d(n) = k*m(n) - 6*v(n). Factor d(r).\nAnswer: 2*r**2*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the second derivative of -a**3\/6 + 7*a**2 + 5*a. Let c(b) = 2*b**2 - 43*b - 21. Let r be c(22). Suppose -z = 1 - r. What is o(z)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3602, -3017, -2398, -1745, -1058?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the second derivative of -29*f**4\/12 + 21*f**3 + 139*f. Find the second derivative of y(r) wrt r.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 415, 836, 1255, 1672, 2087, 2500?\n\"Answer: -r**2 + 424*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 600*f + 3 = 603*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 34 = -2*c, 2188084*z - 2188083*z + 3*c = 26 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g**4\/5 - 102*g**3\/5 - 5208*g**2\/5 = 0 for g.\nAnswer: -28, 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2665*b**6 - 3*b**4 + 149*b**3 + 9*b**2 + 4083*b - 30 wrt b?\nAnswer: 319800*b**3 - 72*b + 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 6 + -8 + -4 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**2 + 24. Calculate c(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25 - (35 - (10 - -10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -112, 0, 3 in ascending order.\nAnswer: -112, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64 - 50 = 7*t. Solve 2 = -t*r + 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 1621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2 + 13*t - 16. Let y be r(7). What is the units digit of -3 - 4\/(-2)*y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = -2*p - 20, 90*p - 52 = 48*p + 46*p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 422 - 414. Let j(i) = -15*i**2 - 6*i + 2. Let w(v) = 10*v**2 + 4*v - 1. What is c*w(d) + 5*j(d)?\nAnswer: 5*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.7, 115, -2.3, -1, -0.5 in ascending order.\nAnswer: -2.3, -1, -0.5, 0.7, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(2\/7)*c*c*c)**50\/((c\/c**2)\/c)**(-2\/33) assuming c is positive.\nAnswer: c**(37922\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h + 94*l + 30 = 89*l, -h = -5*l - 50 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*n = -51228 - 2412. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -12126*p - 291075. Calculate d(-24).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9.6 - 8. Let h = 1.4 - r. Which is bigger: -3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 85bb (base 12) in base 13?\nAnswer: 68ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 38*g - 39*g = -3, -2*h + g = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -40 - -13. Let v = -45 - h. Let i = v + 54. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**2 - 8*m + 10. Let c be -57*(5\/(-3) + 2). Let p = 11 + c. What are the prime factors of g(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the second derivative of a**5\/20 + 7*a**4\/12 - 3*a**3\/2 + a**2 - 4*a. Let k be d(-8). Let i(y) = 10*y + 8. Is i(k) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6*6\/(-360))\/(60\/50).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 76312310?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/9 + (-170)\/45*-1. Calculate the remainder when 141 is divided by (-4 + h)\/5 + 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 80*l. Let o(v) be the first derivative of -v**2\/2 + 69. Determine i(o(s)).\nAnswer: -80*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1517259 and 9953?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -22160.596 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 71116 and 26082.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 2 + 8 = 0. Let h be ((-5)\/(-8))\/((-1)\/g). Let v = h + -11\/8. What is the third biggest value in 3, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69464618.\nAnswer: 2, 17, 120181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 + 3*f**2 - f + 3. Let y be z(-3). Let p be ((-10)\/y)\/(13\/(-39)). Find the second derivative of -4*b**5 - b**5 + p*b - 5*b**5 + 3*b**5 wrt b.\nAnswer: -140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**2 + 6*s + 9. What is the units digit of q(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-66)\/(-18))\/((-2)\/(-6)). Suppose y*p = 6*p - 275. Let x be -4 + 0 + (-230)\/p. Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {f: 9, t: 3, a: 7}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 8*n - 29 = 12*n, -4*o - n + 26 = 0. Let p(r) = 22*r**3 + 12*r**2 - 24*r + 65. Is p(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 118 + -115 - (1 + -2). Suppose 3*s - 5 = 4*q - 2*q, 4*q + 3*s - 17 = 0. Suppose b*m - 72 = q*l, m = 6*m + 2*l - 72. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6480 by 36.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 129 = 278*u - 149. Put 3, u, -1014 in ascending order.\nAnswer: -1014, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((91\/(-56))\/(-13))\/(2\/(-12)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 319761 and 2619.\nAnswer: 31016817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 41\/2 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) 13  (c) -4  (d) -2  (e) -3  (f) -59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -41 - -101. Suppose l - 6*l = -z. Solve l = 5*y + 32 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(833) - (sqrt(833)*-2 + sqrt(833))*-1) + sqrt(833) - sqrt(833) - (sqrt(833)*-2 - -3*sqrt(34)\/sqrt(2)).\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*g**3 + 11416*g**5 + 48*g - 11420*g**5 - 9*g**4 - 3*g**4 + 92*g**2 = 0.\nAnswer: -4, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*(v\/(v**(-4\/3)\/v))\/v*v**11)**(14\/3) assuming v is positive.\nAnswer: v**(644\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -5*d + 46. Let a(w) = w**3 + w**2 - 3*w + 4. Let t be a(5). Suppose -41 - t = -4*z. What is the highest common factor of z and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -40 + 21. Find the common denominator of -12\/7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7 + 6 - 2*w**2 - 2*w - 3*w**4 + w to the form f + s*w + u*w**2 + d*w**4 + z*w**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 808027.5 meters in millimeters?\nAnswer: 808027500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13*o - 20*o + 11*o + 17*o - 21*o**5 wrt o?\nAnswer: -420*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 15*r + 1. Let x be s(-3). Let t = -27 - x. Let o = 145 - 95. Calculate the remainder when o is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 1 + 9. Suppose y*j - 4*p = 7, 5*p - 6 = 2*j - 2. Which is the second smallest value?  (a) -2  (b) j  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 + 10*z**2 - 9*z + 2. Let r be p(9). Let q(a) = 2*a + 1 + 7*a**3 - 4*a**3 + a**2 + 0*a**r. Suppose 0 = -3*i + 1 - 4. What is q(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-9))\/(58\/87)*106\/2?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26 = -4*i + 3*r, -2*r - 46 + 55 = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*l**2\/4 + 9*l - 33\/4.\nAnswer: -3*(l - 11)*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01379121 to four decimal places.\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 + -7. Suppose -3 = 7*q - 52. Suppose u = -2*s + 11, -4*s + u = -0*s - q. Put s, t, -5 in descending order.\nAnswer: s, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-6*(-18)\/(-1080))\/(31*(-18)\/(-1965)) and -77\/192.\nAnswer: 5952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}