{"text":"Question: What is prob of picking 1 t and 3 j when four letters picked without replacement from tssssjsjestssssstsjj?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 264713089910680 less than -2?\nAnswer: -264713089910682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the third derivative of f**5\/30 - 345*f**2. Let n(a) be the first derivative of 0*a - 1\/2*a**2 - 1. What is n(o(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-4 - 8)*-6*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (69\/15 - 4)*10 - 3. Suppose 0 = 5*v + 15, v - y*v + 69 = -5*u. Is -14 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7.9 + 3.9. What is the third biggest value in -5, -20, 0.5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 5*m**2 + 14*m - 11. Let u(o) = 6*o**2 + 15*o - 12. Let r(f) = -7*p(f) + 6*u(f). Is r(8) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = -3 + 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22 + -2. Let w = 19 - b. Is -2\/71 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of a**4\/4 + a**3 - a**2 + 7. Give f(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 3*n = -n - 10, -2 = -n. Let g = -157 + 162. Suppose 0 = 5*l - 5, g*l + 4 = 5*h + 4*l. What is the closest to 0 in k, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4 + 1 + 3 + 4. Let x be k + -3 + -4 - -11. What is the tens digit of x\/(-3)*18\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*((2 - 4 - -2) + (-1 - 2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 112144254 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 124 - 382. What are the prime factors of v\/(-24) - 3\/(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -27, -5, -2\/23, -14, 1.6?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 6003 - 6003 + 4568*f as z + r*f and give r.\nAnswer: 4568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -984*q - 969*q + 3*q**2 - 962*q + 3888*q - 973*q - 10*q**3.\nAnswer: -10*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -16*m**2 + 331*m - 46. Let k be r(20). Solve 170*o = k*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000112020392 to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/210 and -61\/190.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-3*sqrt(125)*-1 + -1)*-5*-3*6*6.\nAnswer: -538 + 8100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -47 - -50. Let f = 7 + -8. Which is the closest to -2\/5?  (a) i  (b) f  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 59*q + 10. Let p be i(-2). Let g = p + 109. Calculate the highest common divisor of g and 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -19*v - 14. Let a(r) = -6*r - 5. Let h(y) = 7*a(y) - 2*x(y). What are the prime factors of h(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -96*f**2. Let q be g(2). Suppose 1 = x, 252 = -b - 5*x + 4*x. Let d = b - q. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*i - 75 - 133 = 0. Let x(k) = 12*k - 28. Let m be x(2). Do i and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*k - 41*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-5 + -4 + 3*(5 + (sqrt(425)*1 - sqrt(425)))**2).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 251, 1047, 2381, 4235, 6591, 9431, 12737, 16491?\n\"Answer: -3*g**3 + 287*g**2 - 44*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 1 + 9 = 0. Let i be (-6)\/4*(-8)\/w. Find the third derivative of 6*b**3 + 5*b**3 + 2*b**2 - 11*b**i - 3*b**5 wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of -f**4\/8 + 12*f**2. Let m(g) = -21*g**2. Calculate d(m(z)).\nAnswer: 63*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 3192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(3\/2)*i)\/i)**5*(i\/(i**(2\/25)\/i))\/i**(-2))**46 assuming i is positive.\nAnswer: i**(13133\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 107977302?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 724782*r*t**3 + 3602908*t**3 wrt r.\nAnswer: 724782*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -6*r**2. Let c(x) be the first derivative of -12*x**3 + 211. What is u(c(d))?\nAnswer: -7776*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 829 + -791. Calculate the greatest common factor of s and 513.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4*((-1)\/2 + 0). Let i be -2 + 10\/k - 6. Is (-1)\/(922\/(-307) - i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3.062913l?\nAnswer: 3062.913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a**2 + 7 + 11*a**3 - 94*a + 94*a.\nAnswer: 11*a**3 + a**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 343*s**4\/4 - 389403*s**3\/4 + 38807202*s**2 - 6092649232*s + 265668600192 = 0.\nAnswer: 69, 2488\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 256 and 576?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**3 - 8*m**2 + 5*m + 5. Calculate b(8).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 AM and 6:47 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (79 - (-155 + 83)) + -129.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*g**3*o - 167*g**3 - 12*g**2 - 17*o wrt g?\nAnswer: 12*o - 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.4, 3\/7, 5.07, -1.1, -0.3, 8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -208.926 from 1026614951.\nAnswer: 1026615159.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 1059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/48*24\/(-18))\/((-8)\/240).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-28)*t**(3\/17))\/(t**(-3)\/((((t*t**(-3\/22))\/t)\/t)\/t*t)) assuming t is positive.\nAnswer: t**(-9709\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 21, -62, -18, -102 in decreasing order.\nAnswer: 21, -18, -62, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -812, -697, -520, -293, -28, 263, 568, 875?\n\"Answer: -2*b**3 + 43*b**2 - 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 + -14. Let s = k + 14. Calculate the lowest common multiple of 7 and s\/(-2)*(-10)\/8.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4.5 and -10308655.\nAnswer: -10308650.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - (8\/(-4) + -62). Let l = p + -35. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from {f: 8, j: 6, u: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/376400, -1\/4, -4, 3, -5, 0.04?\nAnswer: 1\/376400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**2 + 40*v + 80. Let m be n(-38). Suppose -3*d - o + 59811 = 0, -m*d - o - 33971 = -113719. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -12774, -17610, -22446, -27282?\n\"Answer: -4836*s - 7938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 55967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3, 0, -0.5, -3\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 518123572.\nAnswer: 2, 983, 131771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.489 + -3.489. Which is the closest to -0.1?  (a) i  (b) -0.5  (c) 1\/2  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -80\/9  (b) 4\/9  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhkh when four letters picked without replacement from {k: 7, o: 1, u: 2, h: 4}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes after 11:33 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the third derivative of -k**5\/60 - 248*k**2. Let m(t) = 34*t. What is m(g(h))?\nAnswer: -34*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q\/q**(4\/3))\/((q\/(q*q**(2\/71)\/q))\/q) assuming q is positive.\nAnswer: q**(361\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.068512 litres to millilitres.\nAnswer: 2068.512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:26 AM and 11:38 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 345 = -18*w + 111 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the first derivative of 10*n**2 - 1. Let i(d) = -422502 + 4*d**2 + 2*d**2 - d**2 + 422502. Give q(i(w)).\nAnswer: 100*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.133 times -1102.8?\nAnswer: -146.6724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*s + 35 = -46*s. Let v(g) = g**2 + 13*g - 78. Let y be v(s). Let j(h) = -3*h + 10 + 2*h - 1. What is j(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 AM and 1:04 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**2 + 13*a - 16. Let d be x(-13). Let w(m) = m**2 + 16*m + 13. What is the remainder when 22 is divided by w(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/2  (b) -47  (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -70454, -140741, -211028, -281315, -351602?\nAnswer: -421889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 120\/48*72\/10 + -24 + 16 + 14?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/(-5))\/(((-1404)\/135)\/(-26))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-71)\/(-3) + (-1)\/(-3). Solve -1 - k = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes after 9:01 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.01 + 0.31. Let f = 0.176 + -0.076. Sort -1\/7, r, f in ascending order.\nAnswer: -1\/7, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3714, -3738, -3760, -3780, -3798?\nAnswer: -3814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 61 + 48. Let v be 4 + 22\/(-6) - 3\/9. Suppose 5*i - 91 - f = v. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 166247256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 4141401 (base 11) to base 14\nAnswer: d8320b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -155104, -309743, -464378, -619009, -773636, -928259?\nAnswer: -1082878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13243 or -13239?\nAnswer: -13243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/20*(72\/8)\/(-27).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*n**2 + 2*n**2 - n**2 + (27*n**2 - 5*n**2 + 104*n**2)*(0 + 3 - 1) in the form w + o*n**2 + v*n and give o.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:44 AM and 9:04 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a + 9 - 18 = 3*g, -3*g + 3*a = 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 5*b = -15, 0*b + 15 = 3*u + b. Let h = u + 6. What is the third derivative of -c**2 + 13*c**2 - h*c**2 + 9*c**2 - 8*c**4 wrt c?\nAnswer: -192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4299781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.844 times 0.36\nAnswer: -0.30384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 835652332 to the power of 1\/2, to the nearest integer?\nAnswer: 28908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -37\/2 - -18. Let h = -0.242 - -5.242. What is the third smallest value in 0, y, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-3)*1)\/((-60)\/9)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.423855 - -1.418. What is u rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*5.5.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r + 283*p + 15 = 286*p, -2*r = -3*p + 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 5*r - 29 + 24 = 0, 5*n - 5*r = -25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2\/277 - 259\/2493. Suppose -5*b + 7*b = 0. Which is smaller: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5787192569 to the nearest integer?\nAnswer: 76074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 20\/5 - 0 - -1. Let q(x) = 32*x**2 - 6*x. Let n be q(h). Let u = -379 + n. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/(d\/(d*d**5))*d**9*(d**(-1))**26*(d**(-1\/8)\/d*d**(-3\/16))**45 assuming d is positive.\nAnswer: d**(-1121\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -351*w + 10537 = 61108 - 29862 for w.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 620, 1160, 1700?\n\"Answer: 540*r + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 19 = -w, -3*w - 8*v + 11*v = -18. Which is smaller: w or 15\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 212*a = 203*a - 9. Sort 2, a, -7, -3.\nAnswer: -7, -3, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 10*f**3 + 1. Let l be ((-32)\/(-6))\/(5\/3 + -2). Let j be 308*18\/l*14\/21. Let o be (-4)\/(-22) - 7\/(j\/27). What is t(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-208)\/624)\/(-14*1\/(-12))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/52080 and 59\/200783280.\nAnswer: 1405482960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 19 = -4*s. Suppose -17*n = -s*n + 1038. Suppose 0 = 3*f - 1980 + n. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z = -5*s + 35, 12754*z - 12753*z + 4*s - 28 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -612, 2164, 6790, 13266?\nAnswer: 21592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18393 + -7974. What are the prime factors of z?\nAnswer: 3, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 4 - 4382*z + 17289*z - 4311*z - 4370*z - 4317*z.\nAnswer: -91*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 25 and 221891525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -2*o**2 - 66*o + 4*o**2 + 2*o**2 - o**2 - 966 - 897*o = 0.\nAnswer: -1, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 3*x**3 - 79*x**2 - 56*x + 51. Give q(27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:14 PM and 12:26 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 23 (base 14) to base 2\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 24 + 14. Suppose l*w - 44*w = -24. Solve -3*b = 4*z - 14, 5*b = 5*z - w*z + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, -8, -120, 5, 52 in increasing order.\nAnswer: -120, -8, 1, 4, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -156 - -60?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 126 - 0. Let j(a) = 8*a + 31. Let h be j(-5). Let c = w - h. Round c to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -2*w**2 + 14*w + 135. Give m(13).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 167 - 176 = 0. Let z(h) = -h + 1. Let g = 32 - 31. Let a(q) = -5*q + 4*q - q + 0*q + g. Determine m*z(v) + 2*a(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-17)\/h)\/h*(h\/(h\/(h**3\/h))*h)\/h assuming h is positive.\nAnswer: h**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 712870075 to the nearest integer?\nAnswer: 26700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -1. Let x be (2 - (-27)\/(-6))*g. Solve 0 = d - 3*h - 12, -3*d - 37 = d + x*h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (o + 0 + 0)*(-4*o**3 + 8*o**3 - 12*o**3) to the form h*o**3 + f*o**4 + k*o + a + j*o**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 49 = -2*y, -5*y + 15 = -2*y. Suppose 1 = -3*c + t. Factor -6*z**c + 3\/2*z + 3\/2 - 27\/2*z**2 + 33\/2*z**3.\nAnswer: -3*(z - 1)**3*(4*z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 9\/10 of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2571227 nanograms to micrograms.\nAnswer: 0.0002571227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) + (sqrt(1323))**2 + 0.\nAnswer: sqrt(3) + 1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:15 PM and 3:59 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4.47 in 1\/4, 4, -4\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11 - -14. Is 15 a factor of 1*8*4 - j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -13 + 14 - (2\/2 + 1). Let u = f - -7. Let y(k) be the third derivative of -k**4\/24 + k**3\/6 - k**2. Let z(w) = -2*w + 4. Give u*y(b) - 2*z(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 305*a = 833*a - 6864 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 + 40 = z. Find the first derivative of 1863 - 2*o**z - 1848 - 3*o**4 wrt o.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*p = -56*p - 9460. Let m(v) = -81*v**3 + 4*v**2 - 4*v + 3. Let b be m(2). Let g = p - b. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1049, 1732, 2413, 3092?\nAnswer: 3769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -8*w. Let k(o) = 17*o. Determine 5*g(l) + 2*k(l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1739310 is divided by 869652.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(128) + sqrt(128)*1)**2*-6 + (sqrt(32)*4 - sqrt(288)) - 1*(-3*2*sqrt(2) - (sqrt(32) + 1 - sqrt(2)))*-5.\nAnswer: -3077 - 41*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 91 + -11. What is the greatest common factor of f and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 730 is divided by 156?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 1827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1165 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 31765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1587 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n + 6. Let f be w(-6). Let k(i) = 0*i**3 + 15*i + i**3 - 28*i + 3 + 14*i. Let v be k(f). Solve -2*u = -v*l, 5*u + l + 6 + 11 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*x - 19*x - 22 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 125 = -f. Suppose 0 = 4*a - 4*q - 174 - 106, 5*q + f = 2*a. Let r be 3\/18 + (-20)\/a. What is the nearest to 1 in 1, 0.5, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19.6 times -0.0935228\nAnswer: -1.83304688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33862?\nAnswer: 2, 16931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 5 = -5*n, 3*p = 2*p - 2*n + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of 11*r**5\/20 + r**4\/6 + 7*r**3\/6 + 3*r**2 + 2961*r. Give v(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -3762, -3833, -3904, -3975?\n\"Answer: -71*l - 3691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10458 and 59262?\nAnswer: 177786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*0.3.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11340?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0004651926103 rounded to 6 dps?\nAnswer: -0.000465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 61 + -60.34. Let x = v + -0.65943. Round x to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 22 + -19. Let q = -68\/225 - -2\/25. Which is the nearest to 1?  (a) -1\/7  (b) q  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 26 - 68. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 - (58\/(-6))\/(1\/3). Calculate the highest common divisor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11826 is divided by 81?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -203915, -204870, -205825, -206780?\nAnswer: -207735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 90.93852 millilitres?\nAnswer: 0.09093852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 19*i + 31. Let m be c(12). Let z = m - 181. What is the highest common factor of 104 and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (42\/(-4))\/((-1)\/(((-9)\/1)\/27)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (12 - 0)\/((-36)\/(-17 + 5)). Solve -h*p - 4*q - 28 = 0, 3*p = 4*q - 2 - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**3 - 5*k**2 + 3*k + 13. Is 27 a factor of v(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 7*p**2 - 5*p - 482. Let h(c) = 10*c**2 - 7*c - 724. Give 5*h(m) - 7*x(m).\nAnswer: m**2 - 246","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -0.08  (b) -0.3  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1561988773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.2  (b) -1  (c) -0.239  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -202 + -11120100001212?\nAnswer: -11120100002121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2285316\/13 smaller than 175793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 100758 or 100757?\nAnswer: 100757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6903 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -2*v + 4*v. What is the nearest to v in -4, -3\/2, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/(-16))\/(56*1755\/101920).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/(-189)*-18)\/(-10*7\/(-5250)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1132572 (base 11) to base 15\nAnswer: 291971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -50 - -18 - -33 - -41?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1490 and -1480.\nAnswer: -2970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3652635?\nAnswer: 3, 5, 7, 43, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -3*h**2 - 11*h. Let c be d(-3). Suppose c*w - 2 = 16. Suppose 2*m + 22 = 4*k, -k + 40 = 3*k + 4*m. Solve k*t = w*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.215 - -116.785. Let i = l - 116.97528. Round i to three dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 35557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**3 - 4*c**2 + c - 2. Let b be v(4). Let w be 3\/12*(b - -2). Let u(m) = -7*m**3 + 2*m - 1. What is u(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1089297 + 473*h + 1089297 + (4*h - 4*h + h)*(-5 + 3 + 1).\nAnswer: 472*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74 = -16*w - 26. Suppose -10*c + 1393 = -w*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -0*k - 5*f - 10, -k - f + 12 = 0. Is 4 a factor of (-30)\/(-4) - k\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that s**4 + 1975*s**3 - 172873*s**2 + 170897*s = 0.\nAnswer: -2059, 0, 1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -8669 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -3083 (base 10) to base 5\nAnswer: -44313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -2*t + 5 - 2, 5*t + 5*q - 45 = 0. Suppose t = 2*k, 335 = 2*i - 3*k + 95. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 - 3. Let j = 5371.8 + -5372. Which is the second biggest value?  (a) j  (b) q  (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3335 or 26886?\nAnswer: 3335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 10*y = -96. What is the units digit of 2910\/4 - y\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -y**2 - 107844006*y + 301182206 wrt y?\nAnswer: -2*y - 107844006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from oxoq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -22004927.93 rounded to the nearest 100000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12 - -28) + 4 + 0 + 52 + -80.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -1238*v - 101505. Calculate j(-82).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m\/(m**0\/m)*m**(5\/2)\/m assuming m is positive.\nAnswer: m**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*a - 11*a + 34 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2833789, 5667584, 8501379?\n\"Answer: 2833795*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = 2*d - x, 4*d + 44 = -2451*x + 2455*x for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.125, 4\/3, -316 in decreasing order.\nAnswer: 4\/3, -0.125, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 6*u - 2. Let b be p(1). Solve -b = 5*l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 104 - 97. Let d = -5 - -12. Are y and d non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 27663.17 or -2\/433?\nAnswer: -2\/433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-1*4 - (-1425)\/380)\/((-2)\/(-24))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/((-23100)\/245)*(-72)\/(-14)\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 3\/7, -3\/173, 0.2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-1944)\/144*12\/18\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -88*u + 437. Give m(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.0214 != -3.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3004 + 1?\nAnswer: 3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 + 2 + -6 - -2. Let t be -1*(3 + d) + 3. Is t + 6 + (-2)\/1 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 171*b**2 - 80*b**2 - 90*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, a: 1, k: 4, x: 9}. What is prob of sequence kt?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-49)\/7)\/(-28)*0. Which is bigger: o or -10\/31?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2*a = -13, 52 = 5*t + 4*a - 7. Let h(f) = -f**2 + 9*f + 23. Let d be h(t). Solve -2*g + d + 3 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*a**2*f**3 + 6*a**2*f*x - a**2*x - 2*a*f**3 - 5433863*a*f*x - 425491*f**2*x wrt f.\nAnswer: -18*a**2*f - 12*a*f - 850982*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oddo when four letters picked without replacement from ooddooo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**2\/7 + 162*s\/7.\nAnswer: -2*s*(s - 81)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2727 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 36*m**2 - 105*m**2 - 387*m + 36*m**2 + 40*m**2 as y*m + j*m**2 + g and give y.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 21006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10 - -12. Suppose x*d + 0*d = 4. Let k = -0.2 + 0.1. Which is the closest to -1\/4?  (a) d  (b) k  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand s**3 + 7*s**3 - s**3 + (1 + 4 - 1)*(1 - 1 - 1)*(21*s**3 + 10*s**3 + 7*s**3).\nAnswer: -145*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/24 not equal to 56455\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1840230 to the nearest integer?\nAnswer: 1357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + 3 - -3) + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) -4  (c) 0  (d) 10  (e) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from uzuzzzuuzzuuzuuzuz.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 15) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1033801 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 462, 28\/13, -2 in descending order.\nAnswer: 462, 28\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the first derivative of 27*r + 0*r**2 + 18\/5*r**5 + 25 + 0*r**3 + 0*r**4. Differentiate j(h) wrt h.\nAnswer: 72*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/7 of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13 + -13. Let t = 25 + -7. Which is smaller: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 528743 and 94724?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3 - 1)\/(2\/(-8)). Suppose 0 = 7*q - 2*q - 10. Suppose -19*t + 15*t = 16. Sort q, t, u.\nAnswer: u, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes after 5:43 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - 2.1. Let s = x - 0. Suppose -g - l = 2, -g + 13 = -7*l + 3*l. Which is bigger: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (10354\/24)\/(-2*(-5)\/(-30)). Let h = g - -1279. What is the common denominator of h and ((-47)\/(-16))\/(23\/46)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15 + -20 - (1 - 66 - 18)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 112 is divided by 72.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - n + 2)*(13 - 8*n**4 - 13) + (-n**2 - 3*n**2 + 2*n**2)*(507*n**3 + 385*n**3 + 193*n**3).\nAnswer: -2162*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15 - 8*r**3 - 7*r**3 - 16 + (-6*r**2 - 9*r**2 - 3*r**2)*(-r - 2 + 2).\nAnswer: 3*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, h: 2, k: 1}. Give prob of sequence ihhi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 5878, 5872, 5854, 5818, 5758, 5668, 5542, 5374?\n\"Answer: -x**3 + x + 5878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = a - 4*a + 3*n, 3*a + 5*n = 12. Let u be a*3 - (-7 - -6). Solve 9 = 3*g, 0*g + u = -5*h + g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((0 + 6 + -4)*9371)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2 - 2\/(-4))*-2. Suppose -a - x*a = -16. Suppose 0 = -a*n - 4 + 16. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 454 divide 204821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52961?\nAnswer: 211, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 766429.\nAnswer: 23, 47, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1805114?\nAnswer: 2, 19, 67, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 - 254336?\nAnswer: -254340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**2 - 11*g - 46. Calculate s(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.3049 + -0.3227. Round s to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -102, -10, 96, 210, 326, 438, 540, 626?\n\"Answer: -o**3 + 13*o**2 + 60*o - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 90*x + 3. Suppose 2*f - 3*f = -4. Let v be q(f). Suppose v + 1345 = 4*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -115*r - 14. Let h be q(-7). Suppose -5*g + 36 = h. Let c = 338 + g. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-10)\/(3 + 52\/(-20)). Let j = v + 54. List the prime factors of j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -194\/35 + 36\/7. Suppose 4*l + p + 105 = -2*p, 55 = -2*l - p. Let w be (-1)\/(-2) + l\/108. What is the second smallest value in w, m, -3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1234 (base 11) in base 9?\nAnswer: -2178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 15*f + 18. List the prime factors of k(10).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -178 + 2*l**2 + 23*l**3 - 281*l**3 - 179 - 172 + 530 in the form i + f*l**3 + y*l**2 + h*l and give f.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4890 or -4768?\nAnswer: -4768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(242) - (sqrt(242) + -5*sqrt(242) + sqrt(242))**2 - sqrt(242))*-2*-4 - ((4 + 2*sqrt(242))*4)**2.\nAnswer: -33168 - 2816*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/12 - (-272)\/480. Let t = k + 1253\/30. Find the common denominator of (1\/36)\/((-1)\/(-98)) and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-297)\/63 - (-3)\/((-63)\/6). Let f be (-1 + -2 - o)*-1 + 6. Let a(c) = 20*c**3 + 8*c**2 - 3*c - 3. Is a(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -60 - -62. What is the second derivative of 56*c + 14*c**2 - 28*c + z*c wrt c?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -14*z + 10. Let a(i) = -i + 12. Let o be a(8). Calculate y(o).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**2 - 4*s - 10. Let o be c(6). Let j(m) be the second derivative of -2*m + 0*m**3 + 0*m**o + 1\/6*m**4 + 0. Factor j(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 7\/15 of a minute?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes before 11:03 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -1628*b - 192083. Determine q(-118).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 8599 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 52919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.033 * -619\nAnswer: -20.427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 14*f. Let n(o) = o - 1. Suppose -a + 2 = 4. Let m(v) = 8*v - 7. Let g be (-2 - (-4)\/(-1)) + -21 + 41. Let c(p) = a*m(p) + g*n(p). Calculate u(c(x)).\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fourty-three sixths of a millennium?\nAnswer: 86000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 356 = -5*x + c - 4*c, 3*x = 7*x - 4*c - 280 for x.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n**2 - 6*n**2 + n**2)*(35 - 7 + 27)*(-3 + 3 - n).\nAnswer: 275*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the first derivative of m**6\/3 - 1431*m**4\/4 + 7*m**3\/3 - 185*m**2 - m - 11213. What is the third derivative of p(f) wrt f?\nAnswer: 120*f**2 - 8586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 213003 - -4?\nAnswer: 213012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8749*t**6 + 1670*t**2 wrt t.\nAnswer: 1049880*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*-3405\nAnswer: -1021.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -18, -32, -46, -60, -74?\n\"Answer: -14*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/(-14) - (-36)\/21. Suppose 0 = d*l + 11 - 111. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 3 o when four letters picked without replacement from {o: 7, c: 6, k: 2}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-15)\/(-5)*1 - 1. Suppose 21 = d*b + 5*b. Factor -4\/3*i + 0*i**2 + 1\/3*i**b + 0.\nAnswer: i*(i - 2)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1012435 is divided by 43983.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 2*t**2 - 360*t + 9731. Give v(33).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-4) + (-21)\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 2*a**3 - a**2 + a. Let w be z(1). Suppose -54 + 178 = w*s. Calculate the remainder when s is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2866, -2872, -2880, -2890?\nAnswer: -2902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + 0 + -13 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 5.4429ns?\nAnswer: 0.0054429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*k - 164 = 22 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 60\/15 - (-37357 + 2). Let x = s - 20649. What is x rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2426 (base 8) to base 10.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2989 or 2997?\nAnswer: 2997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*g**3 - g**4 - g - 2*g**2 + 3*g**4 - 2*g + 0*g**3 to the form f*g**3 + b*g + h + j*g**4 + y*g**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 81*r + 0 - 6)*(4 - 4 - 3*r) as v*r**2 + g + f*r and give v.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -450*l - 5. Let h(q) = -4*q + 1. Give 6*h(u) + j(u).\nAnswer: -474*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -6.788 * -0.01\nAnswer: 0.06788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.338 take away 0.004025?\nAnswer: -0.342025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96 = 23*g - 47*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**3)**11*((u*u*u*u\/(u\/(u\/(u\/u**1*u)))*u*u)\/u)**(5\/4))**(-2\/53) assuming u is positive.\nAnswer: u**(-76\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r + 6. Let j be k(4). Is 4 a factor of ((-2)\/(-2))\/(j\/18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 337295*g + 9871*g**2 - 337295*g - 26261*g**2 as q + r*g + b*g**2 and give b.\nAnswer: -16390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11 - (-5 - (-7 - -22))) + -18?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 3*s + 14. Let o(b) = 26 - 8 - 10 + 2*b. Let l(c) = -5*o(c) + 3*u(c). Let t(v) = -2. Give 2*l(z) + t(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1454523929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114*m + 347 = 164*m - 453 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -13, 189633, 5 in decreasing order.\nAnswer: 189633, 5, 4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 - 17740950?\nAnswer: -17740950.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -123*r + 47 - 124*r + 383*r - 26 - 139*r - 36. Let c(j) = j - 1. Let x(d) = -4*d + 12. Let i(m) = -5*c(m) - x(m). Determine -9*i(f) + 4*s(f).\nAnswer: -3*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*d**2*s**2*w - d**2*s*w**2 - 4*d**2 - d*s**2*w**2 + 7*d*s**2 + 69*d*s*w**2 wrt s?\nAnswer: 6*d**2*w - 2*d*w**2 + 14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 68 = 2*g, 3*x = 4*g - 2*x + 135. Let c = -5 - g. List the prime factors of (0 + -1)\/((-1)\/c).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 157*p - 29926 + 16581 for p.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide (9 + 0)*(-735)\/(-63)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 119*x**2 + 18*x + 22*x + 12*x + 21*x**3 - 10*x + 77*x. Let i(b) = -14 + 6*b + 26 - 7 + 6*b**2 - 5 + b**3. Give 119*i(c) - 6*q(c).\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1911076, 1911072, 1911066, 1911058?\nAnswer: 1911048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -219.3 and -6.23?\nAnswer: 1366.239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 2*a. Let i(y) be the second derivative of 0*y**2 + 2*y + 0 + 1\/12*y**4 + 0*y**3. Calculate n(i(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 4*f + 11 = 0, 4*c - 2*f - 10 = 8*c. Let v be c\/(-4)*8\/6. What is the biggest value in 1, v, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 351132 and 4?\nAnswer: 351128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3\/111664 and 11\/441.\nAnswer: 7034832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 12*i + 96 = 111, 0 = -4*i + 8. Let 1\/3*c**4 + 0*c**l - 2\/3*c**2 + 1\/3 + 0*c = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1*(-4)\/8*50. Suppose f*o = 15353 + 4247. What is o rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -5*n**3 - 6*n**2 + n + 13. Let w(x) = -6*x**3 - 7*x**2 + x + 15. Let m(i) = -5*o(i) + 4*w(i). List the prime factors of m(5).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -8, 113.794, 2, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 7*j + 13. Calculate the remainder when c(9) is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4 - -5)*(-5 - 1). Let t be g\/(-16) - 27999\/(-216). Calculate the highest common divisor of t and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 145 = 2*n - n, -2*v - 140 = -2*n. Let o be 15\/v - (-21)\/5. List the prime factors of (-43 - 4)\/(o\/(-12)).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 574, 1147, 1720, 2293, 2866?\nAnswer: 3439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -4*g + 8. Let n(j) = -7*j + 15. Let y(a) = -a**3 - 12*a**2 + 10*a - 29. Let r be y(-13). Let d be (-1 - 1)*(-15)\/r. Determine d*n(o) - 5*w(o).\nAnswer: -o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6 + -8 - (-12)\/2. Let n = 6 - f. Suppose 8 = 3*t - 4. What is the greatest common divisor of t and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m - 3*m + 0*m)*(3 - 3 - 1) + (-1301 - 153*m + 1301)*(-4 - 3 + 3).\nAnswer: 613*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 197025001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 5:42 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -21 + 22. Let s = -156\/23 + 2391\/322. Let l = s + -1\/7. Which is the third biggest value?  (a) 3  (b) l  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 111 - 60. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 78545 and 460?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/2  (b) -3776  (c) -27.14  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 899 divide 26952417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 45681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -2*j. Let p(s) = 32*s**2 + 16*s. Let f(d) = -16*d**2 - 7*d. Let l(v) = -7*f(v) - 3*p(v). Calculate o(l(x)).\nAnswer: -32*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -112*v**2 + 239*v**2 - 116*v**2 - 9*v + 2. What is the hundreds digit of s(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 3*a**3 + 5*a**2 + 5*a - 9. Let k(p) = -15*p**3 - 5 + 8*p**3 + 9*p**3 + 3*p**2 + 3*p. Give -5*k(y) + 3*n(y).\nAnswer: -y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 140 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -25*k**2 + 43*k + 95*k**2 + 331*k**4 - 43*k wrt k.\nAnswer: 7944*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 84b - -45?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 - 4*c**2 + c - 2. Let i(h) = 4*h - 8. Let n be i(3). Let o be g(n). Let u(r) = -r + 3 - r - 4. Calculate u(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + 113154?\nAnswer: 113157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 219, 1, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10200122 + 10200119.0999918. Let b = -9.9 - -7. Let i = a - b. What is i rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 2*f**2 + 10*f - 8. Let n be g(-6). Solve 5*r - u = -15, r + 24 = -0*r - n*u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 55987 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/29?  (a) -1172.85  (b) 0.4  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 + 25*m + 25. Let i be r(-24). Which is smaller: i or 3\/58?\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**3 - v**2 - v - 1. Let d(o) = 7*o**3 - 9*o**2 + 4*o + 4. Determine d(u) + 5*y(u).\nAnswer: 2*u**3 - 14*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7001, -28236, -63577, -113018, -176553?\nAnswer: -254176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -882 by 18.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 10, w: 9}. What is prob of sequence uuw?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -l**4\/2 + 121*l**2\/2 + 294*l + 234 = 0.\nAnswer: -6, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**2 + i + 200. Is m(0) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4726.302 millennia in centuries?\nAnswer: 47263.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = 3*t + 4 - 0, -10 = 5*u - 2*t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 + (-21 - -12))\/((-13)\/(-65))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 16 + -8 - (20 - 19). Suppose 0 = -3*t + 11 + 1. Which is smaller: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1938754081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (6 + -5)\/((-1)\/(-4)). Let f(n) = -2*n - 17. What is f(z)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 98?  (a) -9  (b) 0.04  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of n**2*t**3 - 2*n**2*t**2 - 10165*n**2*t*y**2 + n**2*y**3 - 143578*t**3*y**3 wrt t?\nAnswer: 6*n**2 - 861468*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 500203342, 500203338, 500203334, 500203330, 500203326?\nAnswer: 500203322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-186)\/15 - (-2)\/5. Let s = a + 27. Calculate the remainder when s is divided by (-2)\/(-9) + (-520)\/(-90).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*m**2 + 57768*m - 29563322 = 0. Calculate m.\nAnswer: -29387, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 30255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -3*p + 4. Let g be f(6). Let j = g + 34. Calculate the smallest common multiple of 10 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, k: 5}. Give prob of picking 2 k.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 4 = -4*v + 30, 3*x + 2*v - 1 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(136) + sqrt(136) + sqrt(136) + sqrt(136))*2 + sqrt(136))\/((sqrt(24)*-1)\/sqrt(3)).\nAnswer: -11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32 and 306512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/20577 and 109\/342?\nAnswer: 123462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the third derivative of y**6\/40 - y**5\/20 + y**3\/3 + y**2. Calculate the smallest common multiple of q(2) and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 433 + 218 = 51*f + 42*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-210)\/(-35))\/(-4 - -1). What is the nearest to -1 in -65, 2\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62457 + 62463 + 0*l**2 - 124900 + l - l**2 - l.\nAnswer: -l**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -10  (b) -11  (c) -2  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4.93 in -2, 1, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1177537 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + -31013?\nAnswer: -31021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 527937123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5884262.\nAnswer: 2, 19, 154849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11084.76 * 0.4.\nAnswer: 4433.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -81300 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:56 AM and 2:27 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 566?  (a) -2\/3  (b) 3  (c) -1\/18  (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/29, -10, 0.1?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4\/((-8)\/(-4)) - -22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -49644 (base 14) in base 16?\nAnswer: -2bd8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -o**3\/8 - 879023*o**2\/8 + 12306569*o\/8 + 44830887\/8 = 0. What is o?\nAnswer: -879037, -3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 7*k**3 - 213*k**2 - 212*k + 4. Let w(o) = 2*o**3 - o**2 - o + 1. Let i(a) = -b(a) + 4*w(a). Factor i(c).\nAnswer: c*(c + 1)*(c + 208)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + -121?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2672 - 5358 + 2687 + 1004*x to the form k*x + v and give k.\nAnswer: 1004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m + 2*m + m)*(-1 - 2 + 2 - 1 - 1 + 3 + (0 - 3 + 1)*(1 + 2 - 2) + 202 - 309 - 123).\nAnswer: 232*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 6*r**3 - r**2 + 105*r - 2. Let b(s) = 18*s**3 - 2*s**2 + 310*s - 7. Give 8*a(g) - 3*b(g).\nAnswer: -6*g**3 - 2*g**2 - 90*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -131.702587 + 0.3387?\nAnswer: -131.363887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4277?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3988962*c**4*k + 2*c**3*k + 9717963*c*k wrt c?\nAnswer: 47867544*c**2*k + 12*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -24*d + 104. What is b(7)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 - -37290b?\nAnswer: 372914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.06 + 0.06. Let k = -0.2 + -9.8. Let f = k + 14. Which is the second biggest value?  (a) f  (b) 2\/7  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a + 2. Let d = 7 + -1. What is the units digit of h(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44425799 is divided by 62221.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110*m = -193*m + 102*m - 95. Solve -4*r + 8*r - 2 = 3*j, m*r = -4*j + 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/24 and 25\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -6.98  (b) -3  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 42742031 - -3?\nAnswer: 42742034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:53 AM and 4:17 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 26 - 21. Let a be q*2*(-8)\/(-16). Solve a*j - 5*r = 5, -j - 2*r = -4*r - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-238)\/289*-17*((-25)\/5)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -13, -4900 in ascending order.\nAnswer: -4900, -13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4 + 4)*(0 + -1). Suppose v = 3*x - 37 + 4. What is the highest common factor of x and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/58 and 43\/232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*q + 29 = -1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 55137370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-6) + (-3)\/9. Suppose b*u = u - 10. Calculate the remainder when u is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/14 and 91\/1122158.\nAnswer: 7855106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -41, -75, -129, -209, -321, -471, -665?\n\"Answer: -a**3 - 4*a**2 - 15*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-32)*-10)\/(7*27\/(-378))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3545 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.4 + 2.4. Let z = -4 - 1. Let m be ((-5)\/(-9))\/(-17 - (-1926)\/108). What is the second biggest value in h, z, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -134*l + 15259. Determine u(114).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-1651)\/28067)\/(2\/1258)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2592 + 2592 - 20*b)*(1 - 1 - 3*b**3 - 2*b + b**2).\nAnswer: 60*b**4 - 20*b**3 + 40*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -1.4, 2\/9, 100, 2, 5\/7 in ascending order.\nAnswer: -1.4, -1, 2\/9, 5\/7, 2, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(120)\/sqrt(12)*1)\/(sqrt(20)\/sqrt(4)*6 - (sqrt(35) - (sqrt(35) + sqrt(1260)))\/sqrt(7)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18*11\/(396\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((i**(-3\/2)*i)\/i*i)\/(i\/(i\/(i*i*i*i\/i**(-8\/3)*i))))**23)**36)**39 assuming i is positive.\nAnswer: i**(-263718)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -50412*f**5 - 2*f**3 + 3183*f - 2 wrt f.\nAnswer: -1008240*f**3 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes after 12:41 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.276863 days in nanoseconds?\nAnswer: 715120963200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14965.5831 + 14974.58309948. Let v = h + -9. Round v to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:56 AM and 12:51 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -217*g + 215*g = 3*h + 2, 2*h - 28 = 6*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2425127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -72345, 8 in decreasing order.\nAnswer: 8, 3, -72345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the first derivative of -y**5\/4 - 15*y**4\/4 - 20*y**3 - 40*y**2 + 129*y + 117. Let j(c) be the first derivative of x(c). Solve j(k) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*q + 93 = 273. Let z = -94 + 39. Let f = q - z. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 divided by -77133.\nAnswer: 4\/25711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 759, 3058, 6897, 12282, 19219, 27714, 37773?\nAnswer: 49402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -109*c = -103*c - 660. What is the remainder when c is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 136\/(-112) + ((-57)\/(-21) - 3)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 126 - 1?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 466727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o - 3*l + 6, -o - 2 + 0 = -l. Suppose -2*u - 3 - 1 = o, 3*u = -m + 6. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 3208 = 4*i + u, -802 = -i + 4*u. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 427, -4, -2 in descending order.\nAnswer: 427, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 240?\nAnswer: -1\/240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of (8 - -1)\/(6\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 306812678?\nAnswer: 2, 153406339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 170 = -5*q. Let c = 142 - q. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -81\/62 or -45\/1897?\nAnswer: -81\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -24 by 336.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u**5*u)\/(u*u**(2\/3)\/u))\/(u\/((u**(-6)\/u)\/u*u)*u*u*u\/u**(-7)))\/(u**(-2\/17)*u**(-3\/14))**30 assuming u is positive.\nAnswer: u**(-610\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 - 4504*f**2 + 18003*f - 11. Give w(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -50652, -51006, -52000, -53964, -57228?\n\"Answer: -55*n**3 + 10*n**2 + n - 50608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-14)\/(-28) - (-6)\/(-4))*-28. Let d(c) = c**3 - 27*c**2 - 26*c - 56. Let b be d(v). Solve b = -4*a + 8*a + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 89619044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5\/349 - -23412\/144137. Let m = 2\/59 - n. Let a be (-135)\/275 - 2\/(-22). Sort m, a, -3\/4, 0.1 in descending order.\nAnswer: 0.1, m, a, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**4\/b**(-6))\/(b**(-3\/5)*b**2))\/(b\/(b*b\/b**(4\/9))*b**(4\/5)*b*(b**(-2))**(2\/47)) assuming b is positive.\nAnswer: b**(15737\/2115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 561603614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 262 divide 31702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 i, and 1 z when three letters picked without replacement from aaazzzzzzriizzrir.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve a**2\/3 + 9988168*a + 74822624997168 = 0 for a.\nAnswer: -14982252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 107.9999993 - 108. Round a to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 10, l: 2, n: 1, d: 2, r: 2, b: 2}. Give prob of picking 1 n and 1 d.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) 5  (b) 1\/6  (c) 16\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 43 + 49. Let d = s + -95. Let c = -31 - -249\/8. Put 1, c, d, 1\/4 in ascending order.\nAnswer: d, c, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -40485, -326188, -1101661, -2611788, -5101453, -8815540, -13998933?\n\"Answer: -40814*n**3 - n**2 - 2*n + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 11\/((-66)\/18) + 14. Suppose -m*x = 9*x. Which is greater: -15\/32 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and 1414?\nAnswer: 12726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - ((2 - (-1 + 0)) + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 3*d**3 - d**2 + d - 1. Let a(n) = 7*n**3 - 7*n**2 + 2*n + 5. Let c(z) = a(z) - 2*v(z). Let r be (0 - (-20)\/(-5)) + 9. What is c(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17522 (base 11) to base 2.\nAnswer: -110000000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -87, 2, -2, 765, -5, 25 in descending order.\nAnswer: 765, 25, 2, -2, -5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -116776.554 to the nearest 100.\nAnswer: -116800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the third derivative of 0 + 1\/10*p**5 + 1\/105*p**7 + 0*p**3 + 3\/4*p**4 - 6*p**2 + 0*p - 1\/12*p**6. Solve n(f) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**2 + 6*f. Let y be r(6). Suppose -4*u = -2*z - 2*u + 16, y = -z - 4*u + 8. Suppose 5*o + 1 = 26. What is the least common multiple of o and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 80135009 plus -0.2?\nAnswer: 80135008.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the first derivative of 1 + 4 - 2*d**2 + 0*d**2. Suppose -3*x + 3 = -i, -4*x - 2*i + 4 = 2*i. What is b(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4 + (12\/2)\/1. Solve 3*g + 3 = -4*t - 6, 5*g = -w*t - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 5*g**2 + 15*g + 191. Let z(t) = -3*t**2 - 7*t - 96. Let q(k) = -4*l(k) - 7*z(k). Let o(h) be the first derivative of q(h). Determine o(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 207 by -207.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 173933.76 rounded to the nearest 1000?\nAnswer: 174000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6 and 294.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 12a922 - -1?\nAnswer: 12a923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 6, p: 6, b: 5, f: 1}. What is prob of sequence mbfp?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 19840309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**3 - 6*y**2 - 5*y + 5. Let d be a(-5). Suppose d*r + 255 = -0*w + 5*w, 0 = r + w + 41. Let j be 6\/15 - r\/10. Solve 2*i - j - 3 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 - 20\/(-4) - 1. Let z(n) = 7*n + 19. Let f(y) = 97*y - 961. Let s be f(10). Let k(b) = -3*b - 9. What is s*k(q) + x*z(q)?\nAnswer: q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1197 and -0.01.\nAnswer: 11.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/27?  (a) -5  (b) 0.26  (c) 255  (d) -0.2  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -716  (b) 2\/3  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9.2*-12959.097.\nAnswer: 119223.6924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1.493  (b) -2\/9  (c) 1320\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -49*k + 47*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 3*x**2 - 113*x - 34. Let s be g(38). What is the smallest value in -1\/9, -42, 6, s?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = k + 9, -k - 4*y + 9*y = 0. Let f(t) = -2*t**2 - 9*t + 8. Let q be f(k). Solve -4*n - 2 - 2 = 0, -q*s - n + 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2 + 179 + 185 - 549 + 101*h + 185.\nAnswer: h*(h + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5.55 + -0.55. What is the nearest to 1 in 2, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence whm when three letters picked without replacement from whwswhwhhhwmhwhhwh.\nAnswer: 7\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i - 7. Let o be v(-6). Let u be (0 - (-5)\/(-6))*-6. List the prime factors of o - (-4 - -1 - u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(684) - -1*-1*sqrt(684))**2 + -1*(sqrt(684) + sqrt(19))*5)*-6*-2.\nAnswer: -420*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*d = -x + 5*d + 4, -4*x + 7 = 5*d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + (-8 - -4) + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*j = 4*m + 40*j + 971, m - 4*j + 230 = 0. Let x = 702 + m. List the prime factors of x.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 9) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 7:41 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2845433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*i + 25 = -8*i. Let o(z) = -2*z + 7. Let d be o(6). Sort i, -3, d in increasing order.\nAnswer: d, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32351 divided by 1903?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 61.3199 - 64.484. What is b rounded to 2 decimal places?\nAnswer: -3.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -36686?\nAnswer: -5\/36686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -60*h**5 + 53*h**4 - 9*h - 1383 wrt h.\nAnswer: -1200*h**3 + 636*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 288 is divided by 80?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the second derivative of -b**4\/12 + b**3\/3 + 2*b**2 + 367*b. Calculate t(-6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*r - r + 4*j - 12, 3*r + 6 = 2*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 23101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 198 + -204. Let k be (-280)\/i*75\/10. What is the highest common divisor of k and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -2*h + 44 + 0*h - h - 20. Is m(6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/64?  (a) 13  (b) -0.02  (c) -0.3  (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3139936 and 796.\nAnswer: 624847264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*r + 18*r - 16. What is the greatest common factor of 2 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*t = -13*t - 16. Suppose -t*u = -35 - 103. List the prime factors of u.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -15*t + 360 - 390 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 1958, 4, 5, -0.3 in decreasing order.\nAnswer: 1958, 5, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3475597178?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3699966251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 0)*(-10*w + 9*w - 11*w).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + -1. Suppose 51 = -4*l - j. Let k = l + 17. Solve -k*x + 9 = -5*a - 26, 2*x + 2*a - 4 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes after 7:35 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -170 = 4*q - 2*n, -n + 43 = -q - 0*n. Let c be 13*(0 + -7) - 2. Let j = q - c. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 163 divide 60147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 16\/10*-2 - -6. Suppose -4*n - 6 = -v, -7*v + 5*n = -2*v - 15. Solve -4\/5 - v*q**2 + k*q = 0 for q.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -221 (base 4) to base 12\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dttdtdtjqjtt. What is prob of sequence tjd?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -80*58\/(-145) + -29. Let d be 13\/4 - (-1)\/(-4). Solve -4*m + 4 + 4 = d*c, 2*m = -i*c + 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -325469, -1302603, -2931169, -5211173, -8142621, -11725519, -15959873?\nAnswer: -20845689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 8352167 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 14 + 191*b + 23*b**2 + 28 - 200*b - 14. Does 16 divide q(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*t - 12, f - 4*t + 13 = -9*t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 121 and 165?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*a = 1184 - 1236 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74628679?\nAnswer: 479, 155801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 42 and 3514.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 688758108 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -10 + (24 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (15\/10*(-42)\/63)\/(((-7)\/(-35))\/(-1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1024 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the second derivative of 3*w**6\/2 + 19*w**5\/2 + 265*w**4\/12 + 70*w**3\/3 + 10*w**2 - w + 12. Factor h(v).\nAnswer: 5*(v + 1)**2*(v + 2)*(9*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1278.61982 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2379.00001258 - -2379. Round u to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 91*q + 1769 - 2133. Solve q*y - 25*b = -21*b, 4*b + 40 = -4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5084 + -22?\nAnswer: 5062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 652 and 75958?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-23)*k**(-9))\/(k**26*k*k**(-27)) assuming k is positive.\nAnswer: k**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -16, -4, 0 in decreasing order.\nAnswer: 4, 0, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*s**2 + 4*s**2 + 3*s**2)*(-3 + 3 + 2*s**2) - s**4 + 3*s**4 + 0*s**4 to i*s**3 + f + v*s**2 + b*s**4 + c*s and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 2500*n - 2058. Calculate a(1).\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - -2 - (-7 + (4 - 9) - -9).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -4*3\/6 + 6. Suppose 0 = -3*s + 3*z + 92 + 4, 4*z = l. Calculate the greatest common factor of 22 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3372974192?\nAnswer: 2, 7, 614609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the first derivative of -119*u**2\/2 - u + 174. Find the first derivative of l(w) wrt w.\nAnswer: -119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -231372946\/13 and -17797920 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = 2*y + 19, 20 = h - y + 18 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -5*h - 20, 0 = 4*h - 6*h - 3*g - 28. Let x be (-22)\/4*(h - -6 - 1). Which is smaller: x or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v - 1. Let s(d) = -5*d. Let w(m) = 3*l(m) - s(m). Let k be w(2). Let p be -2 - (k + 3*-2). Solve 3*r + p = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:41 PM and 11:18 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from {w: 2, g: 1, f: 3, s: 3, i: 6}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 561316264.\nAnswer: 2, 70164533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 51 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -136, 10, 1\/7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 84 + -79. Which is the closest to -4?  (a) r  (b) 0.5  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 - 3256a3?\nAnswer: -3256a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + 3. Let x = -0.06 - -0.46. Let z be 0\/2 - 14\/(-49). Sort x, v, z.\nAnswer: v, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = h + 4. Let q = 0 - h. Suppose -3*j - 2 + 8 = 0. Solve 0*n + 8 = -q*f + j*n, 0 = 3*n - 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1110 is divided by 87?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y**2 + y**5 - y**5 + y**5 + (-5*y + 2*y + 4*y)*(9*y**2 - 9*y**2 + 3*y**4).\nAnswer: 4*y**5 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -1.6. Let x = 2.6 - 1.6. Let k = -0.9 - 0.1. Which is the third smallest value?  (a) k  (b) x  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -2*l**2. Let g(h) = 25*h**2 + 75*h**2 + 1 - 60*h**2 + 79*h**2 + 30*h**2. Give g(p(m)).\nAnswer: 596*m**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -59712.52 rounded to the nearest 100?\nAnswer: -59700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 33659 and 13.489978454?\nAnswer: 33645.510021546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 960465 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the third derivative of 0 + 1\/6*r**3 + 0*r + 0*r**4 + 3*r**2 - 7\/60*r**6 - 1\/60*r**5. Calculate the remainder when i(-2) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*h + 13*c - 5 = 23*h + 16*c, 4*c + 14 = -2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*k**3 - 18*k**3 - 4*k**3 + 8*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 115197102 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 2*t = l - 80, -31 = -l - 2*t. Let i = l - 19. Let u be i*(-2 - (-88)\/(-6)). What is u rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26 is divided by 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 3*c**2 + 35*c + 355. Does 35 divide l(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 136 = -2*j + 144. Let t be ((-546)\/(-65) + -12)*(-5)\/j. Let l = -0.1 + 1.1. Which is bigger: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(832) + 1 + sqrt(832) + sqrt(832)*1 - -4*1*sqrt(832))*5 + 4)**2.\nAnswer: 5040*sqrt(13) + 1019281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4557 and 4924815?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 525238 and 34902.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**0)**(-3\/2)\/(c**(-1))**(-6\/5) assuming c is positive.\nAnswer: c**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10839 - -75882\/7. Find w such that -m + 9\/7*w**2 - 3\/7*w + 3\/7*w**3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3940 or -3989?\nAnswer: -3940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 4*a - 90 = 0. Let x = a + 28. Let u = -8 + x. Solve 20 = -u*t - 3*r - 2, 2*t + 13 = 3*r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2363, -2301, -2197, -2051, -1863?\nAnswer: -1633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - 2*g - 7, 466*w = 470*w + 8*g - 92. Solve 5*j - p + 12 + 1 = 0, -4*j - 2 = -w*p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2391712 (base 10) in base 13?\nAnswer: 65981b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 83*s - 598. Calculate h(12).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 2*l**2 - 16. Let b be t(-3). Solve -1 = -5*k - 3*o, 4*k + 3*o = b*k + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1300 a factor of 6339830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand z + 9 + 16*z - 15*z + 2*z**2 + 3*z + 2*z**2 - 3*z - z**2 + 0 + 0 - 3*z**2 + 0*z**2 + 4*z**2 + (3 - 2*z - 3)*(1 + 2*z - 1) - 2 + 2 - z**2.\nAnswer: -z**2 + 2*z + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the second derivative of -p**4\/4 + p**2\/2 - 20*p. Determine d(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1592045 to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j\/(j\/(j*j**(-5\/3)*j*j))*j)\/j**(3\/4)*((j\/(j*(j\/(j*j*j*j*j*j**(-2\/11)\/j*j))\/j)*j)\/j)\/j**(-6))**(-44) assuming j is positive.\nAnswer: j**(-1769\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**2 - 27*u + 20. Let q be n(27). What is the highest common factor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hee when three letters picked without replacement from {p: 3, u: 1, b: 2, e: 3, t: 1, h: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/6162 and -55\/48.\nAnswer: 49296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 358 - 17*i**2 - 712 + 354.\nAnswer: -17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-8)\/(-40))\/((-9)\/(-6519)). Let h = s + -145. Put h, 1, -5 in descending order.\nAnswer: 1, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**2 + 4*j**3 + 2 - j - 5*j**3 + 0*j. Let s(z) = -z**3 + 6*z**2 + 5*z + 16. Let d be s(7). What is i(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 763477 + 330373 = 21877*v for v.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7266*y = -3*r + 7262*y + 71, 46 = -5*r + 3*y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -2827\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -i**3\/4 - 19*i**2\/4 - 21*i = 0. What is i?\nAnswer: -12, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34378, 137542, 309488, 550222, 859750, 1238078?\nAnswer: 1685212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1610123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(405) - sqrt(405))**2 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 129\/154 and 29\/990.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from hrhrhrhhhrarih.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -2*n**3 - 3*n**2 - n. Suppose 4*j + 2 = 3*j. Let v be f(j). Calculate the remainder when 39 - (3 - v\/3) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 4*x = 31, 2*s - 12 = 4*x + 10. Suppose 4*n - n + 2*w - 6 = 0, 3*w = -3*n + s. Let a(m) = 5*m**2 - 4*m - 3*m**2 + m**3 - n + 3*m**2. What is a(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*t = -7*t - 555. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41725835 divided by 1?\nAnswer: 41725835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 51196304.1 to the nearest one million.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in five eighths of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = a - 41. Let x = 23 + a. Suppose -4*f - 28 = -k - 0*f, f + 83 = 5*k. Calculate the highest common divisor of k and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.5  (b) -2  (c) -1317  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -101 + 110. Suppose 99 = j*s - 9. Differentiate 11*v**2 - 17 - s - 19 + 14 wrt v.\nAnswer: 22*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (68\/(-3808))\/(24\/(-112))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3014*x - 3017*x = -6027*x + h + 6, 2*x - 3*h = -10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9787253 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.057  (b) -4  (c) 0.7  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the third derivative of v**8\/168 + 49*v**4\/24 - 93*v**2. What is the second derivative of g(u) wrt u?\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 2, 3, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13254?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*t + 48*t - 1829280 = -52*t. What are the prime factors of t?\nAnswer: 3, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21022011 (base 3) to base 4\nAnswer: 1103023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108*p - 8165 + 86392 = 1071*p - 13258 for p.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1589576 and 901.\nAnswer: 27022792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4\/7  (b) -1  (c) -0.5  (d) -396  (e) -2\/11  (f) 1\/3  (g) -10\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 546 is divided by 47.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the third derivative of -q**6\/120 + 13*q**5\/60 + 11*q**4\/12 - 37*q**3\/6 + 2*q**2 - 25*q. Is b(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r**4 + 35*r**3 + 40*r**2 - 140*r - 240 = 0. Calculate r.\nAnswer: -4, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:14 PM and 3:09 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 8:00 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*7\/(147\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 466 a factor of 2546690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/(6\/32) - 1. Suppose -3*d + 101 = -6*o + 2*o, 3*d + g = 0. Let y = -11 - o. Calculate the remainder when 51 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 234324995 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 33*s**3 - 5*s**2 + 51*s + 333942 with respect to s.\nAnswer: 99*s**2 - 10*s + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 170*q + 17531. Determine r(-103).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t*t**1*t)**(12\/17))**(7\/3))**(-5\/3))**(4\/17) assuming t is positive.\nAnswer: t**(-560\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 123 divided by 1549745.\nAnswer: 123\/1549745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the second derivative of -l**5\/5 + 2*l**4 - 16*l**3\/3 + 2*l - 28. What is y in t(y) = 0?\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/(w**(-1)\/w))**(-2)\/(w**(-1\/3)\/(w*w\/(w\/(w*w\/w**(-1\/3)*w*w)*w))))**(-2\/41))**15 assuming w is positive.\nAnswer: w**(40\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 5*q**2 - 10*q + 19*q - 14*q + 2. Let t(g) = 6*g**2 - 6*g + 2. Give 5*h(a) - 4*t(a).\nAnswer: a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8252.\nAnswer: 2, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 173714026.\nAnswer: 2, 181, 311, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 135\/6*4\/2. What is the greatest common divisor of 585 and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -128, -257, -386, -515, -644?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-126)\/((-54)\/6))\/(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 3*o**2 + 342*o + 1939. Determine n(-108).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 318 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 + -25. Let t(q) = -2*q - 13. Let k be t(n). Suppose 5*d = m + 2*m - 4, -k*d + 2 = -m. Solve 0 = 2*f - 3 - d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/9)\/((-7)\/14).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 3*v**3 + v**2 - 6*v. Determine s(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes after 7:21 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -2*s + 21, 13*j - 19 = 8*j - 3*s. Let n be (-1 - (-2)\/(-6))*(-87)\/29. Solve 0*w = -w - n*r + 4, j*r - 5 = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 30946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -4151 (base 14) in base 6?\nAnswer: -124015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 2*w + 2 = 0, 0*w = b - 4*w - 10. Let s be 1 + b - 2237 - (0 + 2). Let n = -1337 - s. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (234 - 348 - 424)*((2*r - 4*r + 0*r)*(-3 - 2 + 3) + 1 + 2*r - 1) to the form h + g*r and give g.\nAnswer: -3228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0  (b) -1\/15  (c) -8  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 415 - 453.2. Let r = u + 38. What is the third smallest value in r, -2\/3, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, v: 2, k: 2, g: 4, e: 3}. What is prob of sequence ek?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (207518\/393192)\/(38\/4)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 261\/812*(-8)\/(-6)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 + 11. Let f(n) = n**2 - 6*n. Let x be f(6). Solve l*t - 2*z + 8 = x, 9 = -3*t - 5*z - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-3)*12\/8. Let r be 5 + (i - 0) + 3. Is (r\/(-4))\/(3\/(-20)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2439 + 5039\/2. Let f = b - 81. Let q be 3 + (-1)\/(-1 + 0). Put q, f, 1\/6 in decreasing order.\nAnswer: q, 1\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 7*w - 14. Suppose -4*h = h + 25. Let a(q) = -7*q + 15. Let c(y) = h*s(y) - 4*a(y). Is c(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -223 - -346. List the prime factors of h.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1605748 and 916?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -11\/1074  (b) 6  (c) 0.4  (d) 3  (e) 2\/7  (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**11)**10 assuming n is positive.\nAnswer: n**110","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -3*t + 26. Let x be s(10). Let b(i) = 2*i**2 + 5*i. What is b(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 3*j**2 + 8*j + 8. Let h be (3 + -4)*14\/2. List the prime factors of r(h).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1404 by -2146.\nAnswer: 702\/1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.05  (b) 47  (c) -1.6264\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-1)\/(-12))\/(1\/3). Suppose 0*z - 3*l - 1 = z, -5*z + 2*l = 39. Let c = z + 8. Sort c, -1\/5, i.\nAnswer: -1\/5, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1613475?\nAnswer: 3, 5, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 143 (base 7) in base 4?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -j - 4, 0*j = -4*j - 16. Factor 1\/6*t**2 + k + 1\/3*t.\nAnswer: t*(t + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 43 = 6*q + 113, 0 = -3*z + 3*q + 33 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rhtt when four letters picked without replacement from ttotmmmmrhtt?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 4 + 72 = -2*v - 83, 334 = 6*z + 4*v for z.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*r**3*y**2 + 1721*r**2*y**3 + 7*r*y**3 - 272*r + y**3 wrt r?\nAnswer: -24*r*y**2 + 3442*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -1 - 1 - 3*t - 15 - 7*t + 28 - 8. Let g(o) be the second derivative of -25*o**3\/3 + 8*o**2 + o. Give 2*g(n) - 11*h(n).\nAnswer: 10*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 5*v - 22, 8 = 5*v - 5*g - 17. Solve -20 = 2*c + 3*y, c = v*c - 5*y - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 531 - 297. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*g = -18*g + 4484. Does g = 114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 PM and 5:52 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-6 + (-10 - (-14752)\/928).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2294 or -2328?\nAnswer: -2328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 4*o + 56 = 0. Let b = o - 35. What is the tens digit of 3 - (b - (-2 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**2\/2 - 27*d - 53\/2.\nAnswer: -(d + 1)*(d + 53)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 8*a**2 - 6*a + 1. Let f be o(1). Suppose 3*u = -f*t + 69, -11 + 9 = -t. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrs. Give prob of sequence srr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 190 and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1222, -1112, -1014, -934, -878?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2914242217?\nAnswer: 137, 21271841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13975 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 16*w**2 + 11*w - 11. Let m(s) = -3*s**2 - 2*s + 2. Suppose 4*d + 110 = -d. Let l(h) = d*m(h) - 4*k(h). Let t(b) = 3*b**2. What is l(t(r))?\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 35434 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 68 + (135 - (97 - -44))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20, 11, -10, -49, -112, -205, -334?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 5, 11, 17?\n\"Answer: 6*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -56\/143 and -69\/325?\nAnswer: 3575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -25 - (42 + 49 + -44)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate a**2*i*j - a**2*i - a*i**2 - 46634*a*j + 9*i**2*j - 13*i**2 - 17397*i with respect to j.\nAnswer: a**2*i - 46634*a + 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 491, 155, -755, -2527, -5449?\nAnswer: -9809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 29*b**2 + 828*b - 29. Is 11 a factor of x(-45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91 = n - 58. What are the prime factors of n?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1393670 - 404908 = 15777*y for y.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35, 1, -95050, -2, -5 in increasing order.\nAnswer: -95050, -5, -2, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 21*c**2 - c + 5. Let n(t) = -21*t**2 + t - 6. Calculate -5*l(r) - 4*n(r).\nAnswer: -21*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**3 - 100*r**2 + 78*r - 2356. What is m(-101)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2. Let m(p) = 156*p. Calculate h(m(z)).\nAnswer: 24336*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -234*f + 1182. Let j be r(5). Solve s + j = -3*g, 4*s + g = -3*g - 16 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -25 - -31. Solve 2*m = n*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 59*h**2 + 11*h**4 - 2 - 58*h**2 - 2*h + 4*h to the form p*h + s + c*h**2 + d*h**3 + k*h**4 and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the first derivative of -131*i**2\/2 - 21*i + 40. List the prime factors of b(-2).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-2\/23)*f*f**(4\/13))\/(f**(-2\/3)*f*f**(-12)))**(-23) assuming f is positive.\nAnswer: f**(-12457\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let i be 0*((-2)\/(-20) - 27\/45). Let s be (-1 + 1)\/(2 + i). Solve s*v - 2*v = -8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8359811 weeks in days?\nAnswer: 5.8518677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - -6. Let p = -5 - -10. Let v(q) = q**3 - 7*q**2 + 9*q - 65. Let o be v(7). Sort t, p, o.\nAnswer: o, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 10204 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23796 divided by 18.\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1\/9  (b) -1\/3  (c) 154  (d) -7.27  (e) 27  (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**2 + 2*r - 1. Let l be m(1). Let x be l*2\/(-4) - -2. Suppose z = 5*g + 45, 42 = x*z + 2*g - 0*g. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*q**2 + 10 - 10 + (-q - 2 + 2)*(-q - 7*q - 14*q) to the form w + i*q**2 + x*q and give i.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2*o + 2)*(-4 + 3 + 3) + (-1 + 1 - o - 1 + o + 1 + (-5*o - o + 4*o)*(-1 + 1 + 2))*(5 - 2 - 1 + (-1 - 4 + 3)*(2 - 5 + 1)).\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1684 + 2564. Calculate the highest common factor of p and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 + -1 - 65\/(-13). Put -3, m, -4, -1 in descending order.\nAnswer: m, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4*-0.29\nAnswer: -1.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 171543*h + 14*h**3 - 171543*h.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 615*2\/(-20)*-24. What is the greatest common divisor of 72 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(28) + sqrt(84)\/sqrt(3))*4)**2 - (-3 + sqrt(7)*2 + sqrt(189)\/sqrt(3)).\nAnswer: -5*sqrt(7) + 1795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1*(-7 - -4 - 7640\/2). Suppose -8*m = -t - 785. Suppose 3*a + 3*a - m = 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*s + 32*s = -27. Let p be (-80)\/(-12) - (-5)\/s. Solve 22 = -v - 5*l - p, 4*v - 5*l = 17 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = -3*b - 2*l + 7, 572*b = -586*b + 1163*b - l - 18 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1643, -13199, -44577, -105689, -206447?\nAnswer: -356763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*-4*6\/(-108)*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 97339.\nAnswer: 11, 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + -5. Suppose -f = -w*b + 4*b + 10, -b - 9 = -3*f. Put b, 1, -4 in increasing order.\nAnswer: -4, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4781 divide 23154383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1483 - -1482.365. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**3 + 15*y**2 + 54*y + 46. Calculate the smallest common multiple of l(-10) and 7 + 0 + 1 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -74, -129, -184, -239, -294, -349?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 625 + -625.0000838. What is r rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/2*(-10 - -8). Let u be 10*o*(3 - (-9)\/(-2)). Suppose 60 - u = 5*p. Solve 7*d - p*d - 6 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4938*l*z**2 + 2*l*z + 655*l wrt z?\nAnswer: 9876*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18075, -18074, -18083, -18102, -18131, -18170, -18219?\nAnswer: -18278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21 - -18. What is the nearest to 0 in t, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -74 + 65 - 18*p**2 + 16*p**2 + 9*p. What is q(7)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**2 - 5*z - 1. Let m be d(-4). Suppose 2*q + 2*n - 98 = 0, m*n + 26 = -2*q + 122. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 25 = 5*y + d, -5*d = -3*y - 16 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*s + 1 + 11. Suppose c + 45 = 4*g + 4*c, -c = g - 10. Let n = -11 + g. Solve -36 = n*d + 4*j, 4*d + 2 + s = 4*j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60753903 is divided by 161?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the second derivative of 0 + 2*d + 1\/2*d**3 + d**2. What are the prime factors of f(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 168  (b) -35  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*z = -4*a + 9*z + 25584, 2*a = -z + 12792. List the prime factors of a.\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 3*m = -621, 8*m - 4*m - 600 = -4*p. Is (-2)\/(-9) + 361199\/p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 113336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 65.30144 millilitres?\nAnswer: 0.06530144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3860376 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(1*(4 + sqrt(20)\/sqrt(4)) - -2*sqrt(45)*-6).\nAnswer: -8 + 70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29214?\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*m - 3*z - 72, -m - 62 = 1098*z - 1093*z + 34 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from nryddbkrryrnr?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 20 = 3*m, -4*m + 4*h - 8 = 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 368 = 2*g - 2*k - 0*k, -3*k = -5*g + 930. Let u(l) = 3*l + 90. Calculate the remainder when g is divided by u(-14).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -3*y - 144, -2*d + 41 = 2*y - 17. Let g = d + -21. What is the greatest common divisor of g and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000055378 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -t - 4*t + t + (4 - 2 - 7)*(0*t - t - t) + (2 - 2*t - 2)*(-2 + 0 + 1) + 0*t + 0*t + t to q*t + i and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 54, 169, 354, 603, 910, 1269, 1674, 2119?\n\"Answer: -c**3 + 41*c**2 - c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6430659*f**3*x + f**2*x + 3*f**2 + 134*f*x + f - 11 wrt f?\nAnswer: 38583954*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 4, f: 10}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -241.4 + 307. What is t rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -25*v**2. Let r(n) be the first derivative of 7*n**3\/3 - 260. Calculate h(r(g)).\nAnswer: -1225*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.02 + -0.05. Let c = t + -0.37. Do -1 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes before 11:21 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*m - 55*m = -3*b + 3486, -5820 = -5*b - 3*m. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(65) - (sqrt(65) - (1*2*sqrt(65) + sqrt(65)))))\/(1*sqrt(135)\/sqrt(3)))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 692991?\nAnswer: 3, 13, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 + -18.2. Let t = -28 - z. What is t rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2095543 weeks in seconds?\nAnswer: 126738.44064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffpxpxfppxxxfffxxfpx. What is prob of sequence pf?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-78027054*l**2 - 1 + 1 + 78011020*l**2)*(-2*l + 0*l + l).\nAnswer: 16034*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 6, m: 13}. Give prob of sequence mm.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 118364.\nAnswer: 2, 127, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - ((-44 - -13) + (-24 - -91)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3\/1678 + -3371\/8390. Sort h, 3, -1, 0.3, -32.\nAnswer: -32, -1, h, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3743194 divided by -23842.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 9\/(3672\/(-6511)) - -16. Let n(f) be the third derivative of 0*f + w*f**6 - 8*f**2 + 0 + 5\/12*f**5 + 5\/2*f**3 + 35\/24*f**4. Factor n(s).\nAnswer: 5*(s + 1)**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = 5*i + 8, 370*u + i + 215 = 350*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 5)*(3 - 4 + 5)*(10*w + 7*w - 5*w)*(-13*w**4 + 228*w**2 - 228*w**2).\nAnswer: -1248*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 3*t**2. Let o(q) = 3*q - 6. Let i(w) = 4*w - 7. Let k(j) = 4*j + 9. Let y be k(-4). Let z(f) = y*o(f) + 6*i(f). Calculate r(z(l)).\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14540 and 17448?\nAnswer: 87240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 4*l = -10 + 102, -5*l + 137 = 2*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-20))\/(6\/75)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * 25.466.\nAnswer: -101.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 78*g**2 - 66*g - 77. Let h be z(4). Solve d = -900 + h for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 104115928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*s*s**(-9\/2)*s*s*s)\/s**(-2))**6*(s**(-2\/15)\/(s*(s\/(s\/s**(-3))*s*s)\/s))\/(s**(-9)*s**(-5)) assuming s is positive.\nAnswer: s**(538\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 112122212 (base 3) in base 15?\nAnswer: 3278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 9390 divided by 6\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 + 4*k**2 + 6*k - 4. Calculate the lowest common multiple of 5 and w(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 42.02 + -41. Let z = h + -0.02. Which is the smallest value?  (a) z  (b) -6  (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/2)\/k**(-9))\/((k\/(k**(2\/11)\/k*k*k*k*k))\/k*k*k\/(k\/(k\/k**(2\/49)))) assuming k is positive.\nAnswer: k**(11559\/1078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 257597?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -18567981.000012 + 18568023. Let x = -42 + b. What is x rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.4, -3.5, -13\/2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1826*q - 4776*q - 3935*q)*(4 - 2 - 1).\nAnswer: -10537*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sum -106738684 and -7.\nAnswer: -106738691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 300*g - 29478. Determine n(98).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16 - -25. Suppose 0 = -5*x - z + 267, 0 = -4*x - 4*z - z + 201. What is the highest common divisor of s and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of -7*p**5\/5 + 3*p**2 + 141*p - 484. Differentiate t(g) with respect to g.\nAnswer: -28*g**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 45132182 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -41150 (base 7) to base 14.\nAnswer: -3927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*s**3 + 5*s**3 - 2*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 54 and 173934.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 3*c**2 + 4. Let y be (-2)\/(-9) - (-328)\/(-18). Let x = y - -16. Is u(x) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-4))\/(((-12)\/(-40))\/(-1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 2*r. Let t be n(4). Suppose o - 3*o + t = 0. Suppose 3*p + w = 6747, -o*p - w = -5*w - 9012. What is p rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the first derivative of -3*z**3 - 21*z**2\/2 - 6*z - 1. Suppose k(f) = 0. What is f?\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, 5\/2, 3, -18\/17?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2506 in -1\/4, -3\/2, 5, 195, 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1992225196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -4*r. Suppose -4*k + g + g = 2, -2*k - 2*g = 16. Give x(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -3*k**3 + k**2 - 2*k - 3. Let r be n(-1). Suppose -42 = 2*w + l - 214, 0 = -r*l + 12. Calculate the highest common divisor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 291 + -1.447.\nAnswer: 289.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -7*(-100)\/(-70).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6419, 25651, 57705, 102581, 160279, 230799, 314141?\nAnswer: 410305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 20769766*i - 20769901*i + 3915 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 25  (b) 7  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 61582 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/4 + (0 - 3)\/(-3). Is 2 a factor of 5 + (-396)\/(-18) + -2*j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*z + 17 = -18*z + 2*i, 0 = -5*z + 3*i - 64. Let v(d) = d**3 + 10*d**2 - 9*d + 5. Give v(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 745, 2980, 6705, 11920?\nAnswer: 18625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y**4 + 24450*y**3 + 29841185*y**2 - 119658300*y + 119756180 = 0. Calculate y.\nAnswer: -2447, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 - 29 = 6*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5156*c - 10437 wrt c.\nAnswer: -5156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(28) + (sqrt(28) - 3*sqrt(252)))\/(sqrt(32)\/sqrt(800)))**2*-4.\nAnswer: 274400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 + -2)*(-7 + (0 + -935203 - 3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -966 - 963 + 2896 + 13*k - 967.\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-54 - -55) + (0 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 17502 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -496939 - 1857675 - 257146 = -80*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes after 6:28 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.01984 - 0.02. What is p rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_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: What is the hundred thousands digit of 682002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -2*t**2\/9 - 119916*t - 16177327938 = 0.\nAnswer: -269811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does -2\/39478701 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the first derivative of n**4\/16 + n**3\/12 - n**2\/8 - n\/4 - 7. Factor c(g).\nAnswer: (g - 1)*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: af88 (base 16) to base 11\nAnswer: 30841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**3 + 6*g**2 + 9*g - 10. Let p be t(7). Let r be (p\/(-66))\/((-3)\/9). Let l = 1053.3 + -1048.3. Put r, 2\/5, l, -4 in descending order.\nAnswer: l, 2\/5, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 28a + -1?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - 10 = -3*h, -4*m - 247 + 243 = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 23872104 a multiple of 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes before 11:19 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.054162 - 1050.\nAnswer: -1050.054162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*-6 + 1*(-2 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of a**5\/8 + 15*a**4\/4 - 875*a**3\/12 - 2188*a. Factor u(y).\nAnswer: 5*y*(y - 7)*(y + 25)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 15.491241 milliseconds?\nAnswer: 0.0000043031225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = -4*w + 2*z, -753*w + 758*w - z = 23 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3004 - 36085\/12. Calculate the common denominator of -89\/14 and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -6*z**2 + 2*z + 1. Let j be f(-1). Let h = 8 + j. Is 1\/25 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y - 4*y + 2*y. Let h(z) = -31*z - 24. Let v(o) = o + 4. Let w(g) = h(g) + 6*v(g). Determine w(m(j)).\nAnswer: 25*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -329*y = -5452 + 2962 - 8500 - 5460 for y.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -19 - 45. Suppose 7*o - s = 3*o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - l = 3*h - 3, 2*l = 3*h + 6. Suppose z - 3*w = 4 + 7, 2*w = h. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 5*f - 5 - 2 + 12*f - 24*f**2 - 4*f**2. Let x(k) = 9*k**2 - 6*k + 2. Let y(n) = -2*p(n) - 7*x(n). What is the second derivative of y(q) wrt q?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13233.25 seconds in milliseconds?\nAnswer: 13233250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-14)\/(-5))\/(6\/15). Let v be (-4)\/5*(w + -12). Suppose a + 4*a + 232010 = 4*r, a = -v*r + 231998. Round r to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2*n - 37. Let y be x(-20). Find the second derivative of 79*c**3 - 9*c**y + 38*c**3 + 144*c + 29*c wrt c.\nAnswer: 648*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + 3. Suppose 5*k + 3*h = -0*k + 240, 0 = 2*k + p*h - 105. Let z = 22 + k. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 3*v - 3*c, 2*v = -3*v - 2*c + 18. Suppose -9*d = -v*d - 220. What is the remainder when 75\/11 - (-8)\/d is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 148 = 4*i - 188, 4*i - 4*y - 336 = 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-8)\/(-12)*(-3)\/5. Let t = 2 + -1. Let y = t - 0.6. Sort a, 5, y in decreasing order.\nAnswer: 5, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**2 + g. Determine l(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -205560 divided by -60?\nAnswer: 3426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -21*d**2 - 6*d - 3\/7.\nAnswer: -3*(7*d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-112 + 131 - (10 + -2 + -2)) + 22 + 13?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 PM and 4:22 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -38 - -11. Let o = z + 24. Let q(g) = 4*g - 4. Calculate q(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 != 20\/190897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6480) - 1*sqrt(6480) - sqrt(90)\/sqrt(2)*-4)\/(sqrt(720)\/sqrt(5)*3*-5).\nAnswer: -sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 162018 and 1566174?\nAnswer: 4698522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + h = -16 - 13, 4*h - 127 = -5*t. Calculate the remainder when t is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 152500*n. Let y be w(-4). What is y rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-40 - -6) + 7 - 5?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 + 0. Let a(n) = 2*n + 33. Calculate the remainder when a(-10) is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 433076209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 50442599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 4 = 2*q, -z + 6*q - 6 = 9*q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(3 + (sqrt(475) + sqrt(475)*-1)**2 + sqrt(475) + -2 + -2).\nAnswer: -10*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (62*v - 67 + 68*v - 151 - 132*v)*(v - v - 3*v).\nAnswer: 6*v**2 + 654*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 93 - 59. Let f = 33.9 - s. Which is the third smallest value?  (a) -2\/5  (b) f  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxynnnnxdxxdnyxnyy. What is prob of sequence yddx?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -143, -283, -425, -569, -715, -863?\n\"Answer: -r**2 - 137*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -26.3199 - 0.1461. What is r rounded to 0 decimal places?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4834391147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are 7 and -33.6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3623537587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 507 or 487?\nAnswer: 487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-86)\/(-129))\/(1 - 2\/6). Solve 21*v + a = 20*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 310\/7*j**2 + 8 - 272\/7*j + 50\/7*j**3 = 0 for j.\nAnswer: -7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (465 - 242 + 363)*(-85 + 7*j - 86 + 167).\nAnswer: 4102*j - 2344","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-31)\/(-11) - 10\/(-55). Let s = p + -2. What is the units digit of (-3 - (s - -3))*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 349*h - 7074 = 1135*h. Let b = -727\/6 + 122. What is the closest to h in -1, -0.5, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/((z\/(z**(1\/4)\/z*z)*z*z)\/z*z))\/(z\/z**6))\/(z\/((z**(1\/4)*z)\/z))**(-49) assuming z is positive.\nAnswer: z**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -1\/3  (b) 0.3  (c) 2  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05033 rounded to three dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -373 = -5*d + 3*o + 4112, 3*d + 3*o - 2691 = 0. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, 7255, 8\/7, 1.9, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2113033 and 575?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -43 + 93 + 26 + -43 + 9.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -34*v - 48. Let n = 45 + -52. Let w be q(n). What is w rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*t + 8136 = -15*t + 8136 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*j**2 + 8*j**2 - 2*j**2 + 5*j**2 + 3*j**2 - 4*j**2 + (2*j + 2*j - 2*j)*(5*j - 3*j - 3*j).\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1666 and 11334274.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 - 13*z + 7*z + 5*z)*(-156*z**2 + 156*z**2 - 13*z**4) + (-2*z - 12*z**3 + 2*z)*(5*z**2 - 4*z**2 + 0*z**2).\nAnswer: z**5 - 169*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 12, -168 = 3*d - 7*d - 3*o. Let h = d - 19. Suppose 2*z = 4*i + h, -17 = -z + 2*z + 4*i. Solve -7*x = -z*x - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3993297 is divided by 180?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 992, 1024, 1072, 1130, 1192?\n\"Answer: -b**3 + 14*b**2 - 3*b + 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.39549601 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 2807*t + 607. Determine o(-1).\nAnswer: -2200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 5*t + 3*h, -4*h = 2*t + 1 + 7. Let z = 62 - 497\/8. Let j = -1103 - -1101. Put z, j, t in increasing order.\nAnswer: j, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1201 - 2?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**2 + 4*k + 5. Let c be r(-3). Solve 0 = 5*w + c + 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 25, 6, -15, -38?\n\"Answer: -q**2 - 16*q + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24427, -49245, -74063?\nAnswer: -98881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(2816) + 0 + sqrt(2816) - -1*sqrt(44)*5*-4) + -3)**2.\nAnswer: 336*sqrt(11) + 34505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 2*f**2 - 42*f + 80. Let s be w(19). Suppose -3*q + s*b + 3385 = 0, b - 10 = -b. What is q rounded to the nearest ten?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -98 divided by 1.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(66)*-2)\/((sqrt(6) - -3*sqrt(42)\/sqrt(7)) + sqrt(6))*-1.\nAnswer: 8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-16)\/(j*j**(-6)*j*j))**(-8\/19) assuming j is positive.\nAnswer: j**(104\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*v**3 + 7*v**3 + 15 - 15*v - 15 + 6*v**3.\nAnswer: v**3 - 15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 = u - 16. Let r = -500235\/2 - -250201. Which is smaller: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.15496  (b) 0.1  (c) 82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*k = 28*k + 24. Put -5, 531, -4, k in ascending order.\nAnswer: -5, -4, k, 531","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 204 = -z + 5*z. Let v = z - 56. List the prime factors of (((-5)\/2)\/v)\/((-6)\/(-2316)).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*q**2 - 15705*q - 4130958 = 0. What is q?\nAnswer: -251, 5486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8.26573 - 0.26013. What is c rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/((-2)\/((-4)\/2))*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -8\/89  (b) -7594  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.611 - -1.511. Which is the closest to p?  (a) 83  (b) -3  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5548 is divided by 551?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-469)\/31 - (45 + -29 - -7 - 38).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-6)\/25)\/(-3))\/((-56)\/70)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 34 + (-57 - (40 + -21))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 64*n + 577. Give a(-11).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -54430 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*b = 2*b + 7*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/5*7\/42?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1)\/(-5))\/(2\/30). Suppose -z*i = -12, 2*w + 3*i - 291 = 5*w. Is -92 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2\/7 + 100862*w\/7 + 100860\/7.\nAnswer: 2*(w + 1)*(w + 50430)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = -14*l + 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.4 - 0.4. Let w = 4.9 + -1.9. Let g = w - 2.5. Sort 0.6, h, g in decreasing order.\nAnswer: 0.6, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-245)\/(-588))\/((-20)\/(-18)). Put 2, k, 7.8, 4\/5 in descending order.\nAnswer: 7.8, 2, 4\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 4*p - 63. Let v = -12 + p. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 189 divided by -2?\nAnswer: -189\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-22))**(7\/5) assuming j is positive.\nAnswer: j**(-154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**2 + 6. Let t be h(-3). Let m be (6\/(-10))\/(t\/15). Factor 4\/5 + 49\/5*s**4 - 36\/5*s + 109\/5*s**2 - 126\/5*s**m.\nAnswer: (s - 1)**2*(7*s - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 3426378 = -372052. Let p = 1770314 - k. Round p to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 739362 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**3 - 9*q**2 + 9*q + 6. Let t be d(8). Let y be (-24)\/t + (-12)\/42. Let r(h) = -2*h**2 + 2*h**2 + 2*h + 0*h**2 - 2*h**2 - 2*h**3. Give r(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-4)*(2\/5 + (-5760)\/400).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 65*c**3*q + 31554*c**3 + 289*c**2*q - c*q - 2 wrt q?\nAnswer: 65*c**3 + 289*c**2 - c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - 70 = -y, -63*y + 137*y + 175 = 5*v + 69*y for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 54, 4, -2, -34.\nAnswer: -34, -2, 1, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04 less than 158133?\nAnswer: 158132.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -774.1 + 773.1. Which is the nearest to -0.1?  (a) s  (b) -2\/3  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*b**3 + 150*b + 45*b**3 - 150*b.\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 11136 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -5*b + 2070, -5*b - 16 = -b. Suppose 574*a - 572*a = p. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 3*h**2 + 33*h - 437. Let g(n) = -2*n**2 - 25*n + 438. Determine 4*g(j) + 3*u(j).\nAnswer: j**2 - j + 441","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 403158942*i**2 + 288325527*i wrt i.\nAnswer: 806317884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 18.386 * 0.4\nAnswer: 7.3544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 4*q - 4. Let b be t(3). Let m = b - 3. Suppose 10 = 5*o - 0*o. What is the remainder when m is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -r*z + 7477*r + 2192*z wrt z?\nAnswer: -r + 2192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 516608260 divided by 36900590?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4756668 and 54?\nAnswer: 42810012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (130\/13)\/((-4)\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 AM and 11:41 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-8)\/(-12))\/((-12)\/27). Is -0.1 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-9 + 1)\/(0 - -11). Let u = l + 65\/44. Let t = -46.8 + 46.7. Which is the nearest to t?  (a) 1  (b) u  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:10 PM and 3:54 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 64355 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 44317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 2 - 181*o + 260*o + 4.\nAnswer: 79*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -500 + 366?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 106076.\nAnswer: 2, 23, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fvo when three letters picked without replacement from toooevvotf?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 22 + -12. Solve 0 + w = -5*d, -18 = 4*r + d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.28153 - -0.213. Round v to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*j**2*s**3*t + 15*j**2*s**2 + 21761*j*s**3 + 2*s**3*t + 2*s**2 + 321*t wrt s?\nAnswer: -18*j**2*t + 130566*j + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:37 AM and 8:19 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 + 10*f**2 + 13*f - 1. Calculate o(-10).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x**3 + 0*x**3 - 2*x**3)*(4 + 5 - 5) - x**3 - 1 + 1 + (-3*x**2 + 4*x**2 + x**2)*(1 - 1 + 2*x).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-x**2 - 2*x + 2*x)*(14*x - 8*x + 9*x)*(-x + 2*x + 0*x) to l*x**4 + t*x**2 + o*x + j*x**3 + k and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.03159464438 and -13682?\nAnswer: 13682.03159464438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 9 = 0, 6*w + 3*r = 11*w + 34 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((24\/9)\/(-8))\/(2 - 1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the third derivative of g**5\/30 + g**4\/6 + 2*g**3\/3 + 2*g**2. Let t be k(-4). Suppose t = 4*f - 4. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10729 + -8963. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*o + 2*q - 39 = 29*o, -2*o = 5*q + 152 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4919446.\nAnswer: 2, 7, 37, 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h + 6*h = k, -5*h + 4*k = -27. Let z(m) = 3*m**2 - 6*m - 6. Calculate z(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -5, -18, -31?\n\"Answer: -13*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1.57*0.1\nAnswer: -0.157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 283 or 853\/3?\nAnswer: 853\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g + 0*g + 0*g)*(80*g + 63*g - 183*g).\nAnswer: 80*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4610 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1260 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 3*q**2 + 70*q + 369. What is the smallest common multiple of 9 and o(-30)?\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1\/20 + 347\/60. Let n = 31\/6 - k. Let h = -2 - -2. Which is the closest to -1\/4?  (a) h  (b) n  (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a and 1 q when four letters picked without replacement from {a: 15, q: 4}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11695 + 534 = -1084*o - 779 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vxrvv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1651*x - 66132 = -649*x for x.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**3 - 3*c**2 - 2*c - 1. Let h be a(-2). Suppose -2*d + g = 3, 14*d + 2*g - 6 = 5*d. Put 1, 3, d, h in descending order.\nAnswer: 3, 1, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*j + 5238 = 266*j for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 2*s**2 + 8*s - 2. Let m be (-1 - (-15)\/9)*-9. Is v(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9971021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xmmmssxvm. Give prob of picking 2 m, 1 s, and 1 x.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 25527*k + 1123196. Give m(-44).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 5 = -d - 2, -5*d = 2*p - 15. Suppose 0 = 4*z + 20, p = -2*r + 5*z - 15 + 176. Let u = -41 + r. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**2 - 11*s - 6. Let h be x(-9). What is the first derivative of -h*n**2 - n**2 - 11 - 8*n**2 + 1 wrt n?\nAnswer: -42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**3 - 8*f**2 + f + 12. Let j be r(-8). Suppose j*q = 5*q - 2. Suppose -q*p + 61 = -89. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 14 - -22563262?\nAnswer: 22563276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 29023483 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 980.6411 litres in millilitres?\nAnswer: 980641.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15728 + -15733. What is the biggest value in -1, y, -3, -36, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -108*y + 57 + 156*y - 5*y**2 + 4*y**2 - 12 + 4*y**2 = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -11*y - 174. Let i be s(-16). Suppose 4*o = -5*m - 21, 3 = m - 2*o + o. Let p be (m + 4 - -1)*i. Let x(z) = -3*z + 7. Calculate x(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 5*k**2 - k + 1. Is z(6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -1464*q - 228399. Give w(-156).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:58 PM and 9:23 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-179 + 178)\/((-1)\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/1)\/(-3*1\/1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(1900))**2 + sqrt(1900))*3*6.\nAnswer: 180*sqrt(19) + 34200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*d + d + 4*d)*(22*d - 29 + 29)*(-81*d + 4*d**2 + 81*d) to t + o*d**3 + z*d**2 + p*d + r*d**4 and give r.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28, -140, -438, -1018, -1976, -3408, -5410, -8078?\nAnswer: -11508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 2 = -2*c, -3*c - 7*s + 11 = -6*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 6*j**2 + 0*j**2 - 7*j**2)*(20*j + 5*j - 9*j).\nAnswer: -16*j**3 - 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (158\/(-60) + (-226)\/(-1695))\/(10\/(-8)). Which is smaller: -8 or o?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4751 is divided by 144.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4572 + 4575. Let z be (8\/(-22))\/((-2)\/1). Put 0.04, -1\/2, z, w in decreasing order.\nAnswer: w, z, 0.04, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(147) - (2 + sqrt(147) + -1))**2 - ((sqrt(147) + 4*((sqrt(147) + 5)**2 + sqrt(147)) - sqrt(147)) + sqrt(147)).\nAnswer: -687 - 315*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/6 + 28\/6. Suppose i = z + 13. Let p(t) = 4391*t**3 + 12*t**2 - 7*t + 4. Let l be p(z). Round l to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1\/540 - -721\/540. Let t be 16\/12*5\/30. What is the third biggest value in t, p, 1, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(-4 - 3562\/(-890)). Round k to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2932 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1265*g + 23426 = -4632 + 40786 + 79617 for g.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 102706126 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72673*n**3 + 50*n**2 - 89*n**2 - 72910*n**3 + 39*n**2.\nAnswer: -237*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -24 - -28. Suppose -i = 2*i - 3*p - 267, -4*i = z*p - 372. What are the prime factors of i?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) -1  (c) 1.12  (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 154 + 5?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2624 and 4589868.\nAnswer: 73437888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(5*(-5 + (sqrt(187) - (sqrt(187) + 2*sqrt(187))*3)\/(sqrt(11) - (sqrt(11) - (-1*sqrt(44))\/sqrt(4) - sqrt(11)) - sqrt(11))))**2*-3.\nAnswer: -12000*sqrt(17) + 166950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z**2 + 296*z + 2496 = 0 for z.\nAnswer: -8, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((28\/4 - -2) + 12874\/(-1435))*1.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**4 + 150*g**3 - 1384*g**2 - 1536*g.\nAnswer: -2*g*(g - 64)*(g - 12)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((2*sqrt(130))\/sqrt(10) + 2*(sqrt(325) - sqrt(13)) + 1).\nAnswer: -40*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 12\/10*15\/(-6). Let w be (4\/10)\/(v\/(-60)). What is the greatest common factor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 98515 and 51969?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes after 7:19 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the third derivative of r**7\/840 - r**6\/360 - r**5\/120 - r**3\/6 - 8*r**2. Let h(g) be the first derivative of x(g). Give h(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 128 - -112. Let v = z + -161. Let b = -78.7 + v. What is the closest to -2 in b, 6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1283 + -5105\/4. Is m < 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 17793?  (a) -4.2  (b) -2  (c) 0.5  (d) 3  (e) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2444, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(833) + 1)**2 + -3.\nAnswer: -14*sqrt(17) + 831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -2*y - 5*v, -5*y + 0*y + 35 = -5*v. Suppose 0 = y*n + 1 - 15. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1602345 = 30*u + 1602765 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6690 + 6690.3. Let g = -2 + 4. Let j be g\/5*10\/12. What is the smallest value in -5, b, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -4*v**5\/15 + 138154*v**4\/15 - 1588376*v**3\/15 + 4626674*v**2\/15 - 644504*v\/5 = 0.\nAnswer: 0, 1\/2, 4, 7, 34527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 12440 + -154?\nAnswer: 12253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -181 + 88. Let a = 51805 + -51897.908. Let p = l - a. What is p rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 708167.\nAnswer: 43, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 78907770 divided by 549.\nAnswer: 143730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(1*2\/(-16)*-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1758 and 45850398?\nAnswer: 45850398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.099974 - -2.1. Round v to 6 decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - -5. Suppose u - x = -u. Calculate the least common multiple of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/2)\/(((-756)\/(-48))\/9).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 106749004*g**3 + 2*g - 227483737 wrt g?\nAnswer: 320247012*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the second derivative of 3*k + 1\/3*k**3 - 31\/20*k**5 + 23\/2*k**2 - 39 + 1\/6*k**4. What is the second derivative of o(t) wrt t?\nAnswer: -186*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/2*(8\/35)\/(28\/(-198352)*-88)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -2046589 to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (25\/(-10) - -2)*-6*(-4186)\/(-546).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**3 + 9*s**2 + 6*s - 19. What is the lowest common multiple of 10 and r(8)?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -246912 divided by 123456.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes before 4:27 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q - q = 3*q. Let b be ((-4 - q) + -87)\/1. Sort 4, b, -0.2 in descending order.\nAnswer: 4, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**2\/10 + 132*y\/5 + 8712\/5.\nAnswer: (y + 132)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1088129*g = -1088124*g + 5*z + 20, -7*g - 4*z - 4 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 17 = 4*j, 0 = -2*j - 2*j + 5*x - 37. Let m(f) = f + 4. Let k be m(j). Which is the smallest value?  (a) -2\/15  (b) -2\/9  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 + 4. Suppose g = 3*r - 80. Calculate the highest common divisor of 20 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6 - 0\/(6\/(-3)). Suppose 4*o - 2 - l = 0. Let n = 2841 + -2841. What is the nearest to n in -0.1, o, -4\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40359000 rounded to the nearest 100000?\nAnswer: 40400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 0*f - f + 3*f + 2 - 5*f**3. Let a(o) = -36*o**3 + 15*o + 15. Determine 2*a(v) - 15*t(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5472 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t**4\/11 - 6*t**3\/11 - 4*t**2\/11 = 0. Calculate t.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58791626?\nAnswer: 2, 29395813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**2 + 3*x + 1. Let s be k(6). Let w be 14\/(-56) + s\/(-4). Let u(v) = -3*v + 5. Determine u(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -75, -86, -119, -186, -299, -470, -711, -1034?\nAnswer: -1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0003264863 to six decimal places.\nAnswer: -0.000326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 555556101?\nAnswer: 3, 83, 2231149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11577439*l**2 - 11577439*l**2 + 2*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 835 = 5*t + 2*v, -668 = -4*t - 6*v + 4*v. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 153004639*b**2*c*k**3 - 20*b**2*k + 60295*b**2 + b*k**3 + 4*k**2 wrt c?\nAnswer: 153004639*b**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.03, 1.3, -5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5\/2846779 or -1?\nAnswer: 5\/2846779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-8)*c**(-1))**29 assuming c is positive.\nAnswer: c**(-261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x - 3*n - 7, x + 3*n - 6 = -10. Which is bigger: 3\/13 or x?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**0\/(y**10\/y))**(-23) assuming y is positive.\nAnswer: y**207","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.006, -2\/17, 0.1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 562798 is divided by 66?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -6*i**2. Let z(k) = 6*k**2. Suppose 0 = -248*f + 275*f + 54. Give f*z(j) - 3*l(j).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -169 - -172. Let g(z) = -2*z**2 - z**2 + 1 + 2 + 7*z**2 + 11*z**3 - 22*z**p. Let w(j) = 5*j**3 - 2*j**2 - 1. What is -2*g(i) - 5*w(i)?\nAnswer: -3*i**3 + 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -40*d. Let f be q(-1). Suppose -y + 6*h - h = 5, 5*h - 35 = -5*y. Solve -y*z = -3*z + x - 4, 5*z = 5*x + f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5560 to the nearest one hundred.\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) - ((sqrt(77) - -5*2*sqrt(77)) + sqrt(77) - sqrt(77)))\/(sqrt(396)*3) + -2)**2 + -1.\nAnswer: 418\/81 + 20*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19 - -17. What is the smallest common multiple of -11*-2*(-1)\/q and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -2*x**2 + 7*x + 1. Let h(q) = 5*q**2 - 90*q - 95. Let k(y) = 5*a(y) + h(y). Find p, given that k(p) = 0.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/(a\/(a*(a\/((a**(5\/3)*a)\/a))\/a)))*a**(-10\/17)*a**27\/a**49)**(-3\/4) assuming a is positive.\nAnswer: a**(1067\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, -192, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 46269 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: Let u(f) = -7*f**3 + f**2 + 52*f - 1. Let z(h) = h**3 + h**2 - h - 1. Give -u(l) + z(l).\nAnswer: 8*l**3 - 53*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*h - 5*h = 0. Let v be (-3)\/(-9) - 22\/(-42). Is v < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p + 2. Let s be ((-84)\/36 - (-2)\/6) + -2. Let a be (22\/s)\/((-1)\/(-2)). Determine m(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 110564 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 2*sqrt(7))**2 + -5 + (sqrt(7) - sqrt(175))*-2 + -2 + (sqrt(35)\/sqrt(5))**2.\nAnswer: 37 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -210*l**3 - 21840*l - 9104*l**2 - 796*l**2 - 1119*l**2 - l**4 - 10816 - 214*l**2.\nAnswer: -(l + 1)**2*(l + 104)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 2) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-12)\/z*z)\/(z*z*z*(z**(2\/3)*z)\/z*z))\/(z*z**(-2\/13)*z*z\/z**(2\/67)) assuming z is positive.\nAnswer: z**(-50909\/2613)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8164 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - -2) + -2 + -17 + 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes before 2:53 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -15*c**2. Let m(q) = -8*q**2. Let x(s) = 9*m(s) - 4*r(s). Let b(o) = -o**2. Give b(x(v)).\nAnswer: -144*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61 (base 13) to base 11.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-11)\/(-33) - (-22)\/6. Suppose g + 4*v = -0*g, 0 = g - f*v. Suppose 7*p + 12 - 5 = g. What is the nearest to p in -5, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2241 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 94053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -2.3 greater than 40265006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 626.49 + -626.4956242. What is d rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, t: 1, a: 1, k: 2}. What is prob of picking 1 a and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 7273381.15699+2\nAnswer: 7273383.15699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6 and 4021770?\nAnswer: 24130620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1617470 + 2513727. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14066952 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*v**2\/7 - 780*v\/7 + 778\/7 = 0. Calculate v.\nAnswer: 1, 389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*z + 6*x = -5*x + 4*x + 3*x, -z + 4*z = -5*x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in five eighths of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -3*o + 48. Suppose -2*s = -3*s - 3*x - 6, -50 = -5*s + 5*x. Do o and s have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 2*w - 1. Let r(u) = 1. Let y(f) = -r(f) - t(f). Let h(q) = -8080987*q + 8080987*q + 61*q**2. Give h(y(v)).\nAnswer: 244*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -8*j + 46. Let q be l(6). Let b be 4\/64*-4*q. Is -1\/6 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*n - 36 - 1188. Let k = 353 + n. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6959 and 5742.\nAnswer: 39958578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as 2\/300178385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.20733 rounded to three decimal places?\nAnswer: -0.207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 17 - -84083?\nAnswer: 84111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -2, -1, 1\/2, -1337?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1015 divided by 5\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-84)\/10 + 7*6\/105?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j**5\/4 + 21*j**4 + 369*j**3\/4 - 1020*j**2 - 6384*j = 0 for j.\nAnswer: -19, -8, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 + 2. Let o = w + 1. Let s = -2 - o. Which is the second smallest value?  (a) s  (b) 2\/3  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4604355 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -3 - (24 + -31 + -1) - (30 - 0)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 - -2303.\nAnswer: 2281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*f + 2*k - 40, 1662930*k - 17 = 1662929*k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -12  (b) -28  (c) 3  (d) -0.2  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + 100010?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes before 6:07 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/4*u**2 - 342 - 345\/2*u.\nAnswer: -3*(u + 2)*(u + 228)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -8*o + 3. Let g be t(-3). Let k = 155211 - 155166. What is the greatest common divisor of k and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -593 + 615. Solve -15*w - m = -7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -32058 - 18270 = -932*o for o.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j = 5*j + 200. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u**2\/5 + 8468*u\/5 - 8466\/5 = 0. What is u?\nAnswer: 1, 4233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4*1\/((-4)\/2680*-5). Let g = p + -535. Which is greater: g or 3\/176?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 AM and 11:03 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 - w + 3 + (-3 + 3 + 1)*(4*w - 3*w - 3*w) + 0 - 2*w + 0 + 2*w - w + 0*w + (-4 - 1 + 4)*(9*w - 4*w - 3*w)*(0 + 1 + 3) to j + a*w and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 24 = -5*r, -2*r - 2*b + 24 = 2*b. Let t(h) = -h - 2*h + r*h. Let i(x) = -2*x**2 + 4*x**2 - x**2. Calculate i(t(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 13800931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 2*k**3 - k**2 - k + 1. Let q(b) = b**4 - 32*b**3 + 34*b**2 - 3*b - 9. Let g(y) = -18*a(y) - 2*q(y). Factor g(i).\nAnswer: -2*i*(i - 12)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39888 less than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes before 11:21 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 62 + -59. Suppose -c + 3646 = -d*o + 24066, -13585 = -2*o - 5*c. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 54 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1772*c - 1783*c = -99 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -58, -2, 25, 0.86 in increasing order.\nAnswer: -58, -2, 0.4, 0.86, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/19  (b) -3\/7  (c) 6\/11  (d) 3  (e) 4  (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-130466 - 128*m + 130466)*(-78 - 66 - 12 + 30 - 17) in the form k + v*m and give v.\nAnswer: 18304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 150255 and 400680.\nAnswer: 1202040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 428647*y + 5 - 5.\nAnswer: 428647*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 30315 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: Which is the nearest to 486?  (a) -3  (b) -1.6  (c) -5  (d) -1  (e) 4\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25235 is divided by 6174?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.023 at least -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -3*l. Let f(x) = x**2 - 528602*x. Give m(f(a)).\nAnswer: -3*a**2 + 1585806*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of p**3*q**2 - 1265*p**3 + 744*p**2 - 46*p*q**3 + 3201*q**3 - 3*q wrt q.\nAnswer: 2*p**3 - 276*p*q + 19206*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence etvx when four letters picked without replacement from {l: 1, e: 2, y: 1, x: 2, v: 4, t: 2}.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 24843177343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.93179 millilitres?\nAnswer: 0.00093179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3800 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + (sqrt(220)*1)\/sqrt(5))*4*-1*3)**2.\nAnswer: 576*sqrt(11) + 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -52489, -51566, -50027, -47872, -45101, -41714, -37711?\nAnswer: -33092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6 - -1da?\nAnswer: 1e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-12) + (-66661)\/(-2247)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -h - h - 4*w - 2, -4*w = h + 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 953287.2 nanograms?\nAnswer: 0.0000009532872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, j: 3, l: 3, q: 4, a: 2, e: 3}. What is prob of sequence le?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20578?\nAnswer: 2, 10289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 14822509, 14822527, 14822545, 14822563?\n\"Answer: 18*d + 14822491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + (9 - 26) - (0 - -3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 548 by 4.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 129 - 81. Suppose -5*p + 0*z + h = -z, -2*z + 4 = 0. Let f be (6\/p)\/((-1)\/(-5)). Is 5 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x + 2*x + 0*x + 2*x - 3*x + 5*x + (0*x + 2*x + 0*x)*(-2 + 5 - 4) + (2 - 2 + 1)*(0*x - x - x))*(4*x + 4*x - 2*x)*(-2*x**2 + 0*x**2 + 16*x**2).\nAnswer: 168*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/408)\/(585\/(-312)).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59713 + -55924488?\nAnswer: -55864775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1317 (base 13) in base 5?\nAnswer: 41344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (13 - 37) + 10 - 4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**2 + 4*o. Suppose 4*n - 8 = 12. Let a be w(n). Let y(r) = -8*r + 4. Let f be y(a). Calculate the greatest common divisor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 9*k**2 + 12. Let h(c) = 26*c**2 + 35. Let x(l) = -l - 18. Let f be x(-10). Let g(s) = f*p(s) + 3*h(s). Find the first derivative of g(z) wrt z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (54\/(-63))\/(2\/(-28)). Let l = -8 + p. Calculate the greatest common divisor of 12 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(1\/3)\/o)**21\/(o**(-3\/2)\/(o**(-2\/11)*o)))**3 assuming o is positive.\nAnswer: o**(615\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*p + 40*p - 73*p = -85 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3*-6*(20\/8)\/1. Let m = 33 - o. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate 21*r**2*y**2 - 2321*r**2*y + 2*r**2 - 11022*y**2 - 21 wrt r.\nAnswer: 42*r*y**2 - 4642*r*y + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*y + 34*y = -37596. What are the prime factors of y?\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 33*d**4 - 15*d**4 - 3*d - 2*d**2 - 20*d**4 + 4*d**2 + 3 as r*d**3 + y*d**4 + f*d**2 + q*d + s and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of p**3\/3 + 3*p**2\/2 - 2*p + 1. Let f be x(-4). Suppose 7 = q - 2*m, -3*m - 26 = -5*q - f*m. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 43  (b) 1\/6  (c) -0.21  (d) 1  (e) -7\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 1  (b) 656  (c) -4\/5  (d) -212\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-13)\/(-3) - ((-25)\/(-15))\/5. What is the second derivative of 2*t**4 + 38*t - 7*t + 6*t**4 + 9*t**c wrt t?\nAnswer: 204*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3291, 11375, 24841, 43683, 67895, 97471, 132405?\nAnswer: 172691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 12564 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (-1 + 18) - (-3)\/(45\/(-30)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -41, -13, 15, 43?\n\"Answer: 28*r - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 5*d**2 - 9*d - 117. List the prime factors of t(15).\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -8, -136, -474, -1124, -2188, -3768, -5966, -8884?\n\"Answer: -17*v**3 - 3*v**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -10*n**2 - 5*n - 6. Let i(y) = y**2 + y + 1. Let l(c) = -b(c) - 5*i(c). Let t be l(-1). Let m(z) = -t*z - 1 + 2*z + z. Determine m(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -42 - 58. Let f = -130453.2620235 - -130553.262. Let r = b + f. Round r to six decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 151653 is divided by 2486.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3*(-24)\/(-18) + 2. Sort k, -6, -5, 4 in descending order.\nAnswer: 4, k, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**3 + 3*d**2 - d + 4. Let z be v(3). Let f(o) = 2*o. Let r be f(z). Let t be 1 + (-4 + -2 - -5). Solve -r*a = 5*h + 4, -2*h - 4*a + 8 = -t*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 4*i = -114, 0 = a + 55*i - 53*i - 37. Calculate the greatest common divisor of 2491 and a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 20066.6269 to zero dps.\nAnswer: 20067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**2 + 8*s - 18. Let u be c(-10). Suppose 4*n + 13 = j, -u*j + 6*j + 4*n + 8 = 0. Calculate the smallest common multiple of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 2*r + 16 = 0. What is the common denominator of (-1 - (-564)\/r)\/(-12) and -43\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -29 + (96 - 31) + -37 + -1 + -1 + -6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 390415750 to the power of 1\/2, to the nearest integer?\nAnswer: 19759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -282*d - 7*d**4 - d**3 - 8*d**4 + 282*d - 10 as h + g*d**4 + f*d**2 + r*d**3 + m*d and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2522, 5255, 8188, 11315, 14630, 18127, 21800?\nAnswer: 25643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 3, i: 4}. What is prob of sequence mimi?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 501*w**2 - 21*w + 499*w**2 + 46*w as u*w**2 + x*w + g and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -434*n**3 - 2*n + 2*n + 435*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(192))**2 + (sqrt(216)\/sqrt(6))\/sqrt(12).\nAnswer: -31*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 18*m**3 - 49*m**2 + 3*m - 48. Give h(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58604*j - 2211 = 58805*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2383?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 5 + 3)*(-74*h**3 - 47*h**3 - 59*h**3) in the form w*h + s + u*h**3 + q*h**2 and give u.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**3 - 6*x**2 - x + 8. Let c be l(6). Differentiate -5*u**c - 9 + 4 + 8 + 11 wrt u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*s**2 - 6*s + 10*s**2 - 27*s**2 + 6*s.\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15*a**2 + 17*a**2 - 299 - 21*a**2 + 22*a**2)*(-a + 4*a - 5*a).\nAnswer: -6*a**3 + 598*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2461.\nAnswer: 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -993 in 0.3, 558\/11, -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -5, 2\/5, 7, -0.048?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-31 + 1)\/((-1)\/(256590\/(-27))). What is v rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*k**3 - 1081036*k**2 + 3364084*k wrt k?\nAnswer: 12*k - 2162072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 112 and 71302?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**2. Let l(m) = -17 - 1 + 2*m + 28821*m**2 - 28817*m**2. Calculate l(g(i)).\nAnswer: 4*i**4 + 2*i**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 349\/14 + (-1)\/(-2). Which is smaller: b or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 9 + (-4 + 41 - 74)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h - 5*h + 2*h)*(-3 - 1 + 3)*(359 - 173 - 160).\nAnswer: 52*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 5\/4, -4, 5 in increasing order.\nAnswer: -7, -4, 5\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(-3) - 5\/(-30)*712. Let l = 138 - i. What is the remainder when 73 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 49068\/25 - 1963. Let k = x + 17\/25. Which is the third smallest value?  (a) k  (b) 1\/9  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 0*p - 9*p**2 + 0*p + 8*p - 3*p wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -316, -489, -652, -799, -924, -1021?\nAnswer: -1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 35 + 58?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -4*r + 7*r. Which is smaller: -14 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 - 14. Let d be (-38)\/(-8) - (-6)\/l. Solve t = -c + 4 - 6, -d*c - 3*t - 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 1738*d. Let g(p) = 4*p**2. Calculate k(g(o)).\nAnswer: 6952*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2\/5 - 7*v\/5 - 12.\nAnswer: (v - 12)*(v + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 87\/4 of a milligram in micrograms?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 22 + 53. Let s = r + -71. Solve 0 = 3*w - s*a + 7, -2*w = w - 3*a + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 55808ae5 + 0?\nAnswer: 55808ae5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 1216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**2 - 16*h - 15. Let y be c(17). Solve x = -5*m - 20, -y*m - 5*x + 17 - 48 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h - 1. Suppose 4*n + r - 12 - 4 = 0, -9*n + 5*r + 65 = 0. Let i(p) = -3*p**3 + p - 6*p - 2*p**3 - 5. What is n*m(s) - i(s)?\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iuui?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -917*q**2 - 9*q - q + 4 + 919*q**2. Let o(v) = v**2 - 5*v + 2. Determine 3*c(z) - 5*o(z).\nAnswer: z**2 - 5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express t**2 + 1 + t**2 - 2 + (-4 + 0 + 1)*(-3*t**2 + 2*t**2 - t**2) - 3*t**2 + 4*t**2 + 15*t**2 in the form u*t**2 + i + c*t and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*j**2*r**2 + 132*j**2*r + 3*j*r**4 - 5*r**2 - 2*r wrt r?\nAnswer: 4*j**2 + 36*j*r**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 555 is divided by 48.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the second derivative of x**5\/20 + 19*x**4\/12 + 3*x**3 + 14*x**2 - 6549*x. What is n(-18)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 365081.9 decades in years?\nAnswer: 3650819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-2\/31)\/((c\/(c\/((c**(-1)\/c)\/c))*c)\/c))\/(c**3*c**(-2\/11)\/c))**(2\/15) assuming c is positive.\nAnswer: c**(254\/1705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6104 and 50467?\nAnswer: 2826152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 142 a factor of 149622\/165*(19 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 2*z = -0*f - 23, 2*z - 28 = -4*f. Suppose -31 = -f*c - 1. What is the greatest common divisor of 30 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 - 5*r**2 - 3*r + 3. Suppose -z + 11 = -3*u, -4*z + 2 = 5*u - 8. Let p = 1 - u. Suppose -5*c - 15 = x + x, p*x = 0. Calculate i(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 3*d**2 + d - 3. What is the remainder when 17 is divided by i(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ddgddddddgggdddddddd?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4039\/9 + 8\/36 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8125*a - 8119*a + 16248*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of f**5\/15 + 5*f**4\/24 - 2*f**2. Let b(w) = 33*w**2 + 32*w**2 - 64*w**2. Calculate b(d(l)).\nAnswer: 16*l**4 + 40*l**3 + 25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, g: 3, k: 3}. Give prob of sequence gkgq.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3471*r**2 - 3471*r**2 - r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the second derivative of 13*v**3\/3 - 63*v**2\/2 - 3841*v. Give p(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 2*v**3 - 177*v**2 - 90*v + 89. Let c be j(89). Solve c = 3*u - 0*u - y + 14, -16 = 3*u + y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*c - 69*c = 84*c + 266*c - 7980 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11 + (-9 - (-18 + -8)) - -40) + -11?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 6*h**2 - 12*h - 23. What is the tens digit of m(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.1 and 336246242760?\nAnswer: 336246242760.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 47553 - 47550. Factor 3\/4*q**t + 0 + 0*q + 3\/2*q**2.\nAnswer: 3*q**2*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22\/(-1155)*((110\/15 - 4) + -1)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/5)\/((-135)\/(-75))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 158282 divided by -79141.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/2 + 48\/16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -668 - -692. Suppose 32180 = k*r + 3956. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/4829 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3888, -7766, -11644, -15522?\nAnswer: -19400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bdxxsdxx. Give prob of sequence dxx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*n - 1003 - 128 = 0. Let l = 333 + n. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 19220\/70 + -2 + 10\/7. Let d be (-88)\/1188 + b\/54. Let t be 17\/1 - (-1 + 0). Solve 7 = -d*p - t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1430244 (base 6) to base 2\nAnswer: -10011111101010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 62689580117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - 456\/(-64)*(-4)\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -85 + 88. Suppose b*s + 921 = 3*l, 4*l - 1535 = -l - 4*s. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + z - 14*z**2 + 1 + 10*z**2 to q*z**2 + j*z + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*j**3 + 0*j - 1 + j + 0*j**3 + 2 - j**4 as u*j + q*j**3 + x*j**2 + c*j**4 + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 54333, 108683, 163031, 217377, 271721?\nAnswer: 326063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*h + 2\/7*h**4 + 0 + 8\/7*h**2 - 8\/7*h**3 = 0. Calculate h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in twenty-five eighths of a kilogram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2930 and 2930?\nAnswer: 2930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 138*b**2 - 3*b**3 - 63*b**2 - 75*b**2 - 3*b**3.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*j + 11 = 26*j. What is the nearest to -0.1 in j, 5, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 7 - (5 + -2 + 0). Let i be (4\/(-42)*-3)\/((-255)\/(-163030)). Let u = i + -181. Which is the biggest value?  (a) 0.4  (b) u  (c) t  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 9*s**2 + 2*s. Calculate m(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 1.257923 decades?\nAnswer: 0.01257923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1623639*-3\nAnswer: 4870917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-7 - 9863\/(0 + 7))*(-31)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kbb when three letters picked without replacement from {b: 12, k: 6}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 18\/(-22) + 525\/1650.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 219 divide 160823547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 25924 divided by 28?\nAnswer: 6481\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -959 - 2091. Round h to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 24 - 23. Let a be 3 - (3 + -3)\/f. Solve a*v = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12, 12, 36, 60, 84?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and 212366025.\nAnswer: 106183012.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3 + 3 - (2 - 2). Suppose 12*b - z*b = 984. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjjtjjtt. Give prob of picking 3 t.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence krw when three letters picked without replacement from {k: 1, r: 2, b: 2, d: 1, j: 2, w: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(1088) + 0) - (sqrt(1088)*2 + 3))*6 + 5)**2*4.\nAnswer: -4992*sqrt(17) + 157348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 74999 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/19?  (a) -2  (b) -1  (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 406 is divided by 110?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 49 = -10*z. Let u be 5\/((28\/(-8))\/z). Let f(r) = r**2 - 2*r - 14. Is f(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dq when two letters picked without replacement from uuqlqzld?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1522 + -785. List the prime factors of h.\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*b**4 + b**4 + 5*b**4 + (-7*b**4 + b**4 + 3*b**4)*(-4 + 0 + 8) to g*b + l*b**3 + k*b**2 + c + o*b**4 and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 6 + 0)*(1 + z**2 - 1) + (z + 0*z - 2*z)*(451 + 240 + 29 - 2*z).\nAnswer: 4*z**2 - 720*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7016579\/395964 + -2707\/153. Calculate the common denominator of i and 83\/2.\nAnswer: 2588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1074974920 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v - 7. Let l(d) = 2*d**2 - 50*d + 6. Let p be l(25). Let i(h) be the second derivative of h**3\/2 - 10*h**2 - h. Give p*i(x) - 17*a(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 divided by -444.\nAnswer: -11\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 340931 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 4*m**3 + 95*m**2 + 160*m + 74. What is l(-22)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*y**3 + 2*y**3 + 55570*y**4 + 3*y**3 - 3*y**3 - 925*y**2 - 55308*y**4 wrt y?\nAnswer: 6288*y + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.85 + 2.25. Sort 1\/4, 1\/3, g in increasing order.\nAnswer: 1\/4, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 33 + 48. Let g(l) = -2*l**2 + 23*l + 1. Let d be g(20). Let z = 353 + d. What is the remainder when o is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-352*o - 265*o - 433*o)*(-o + o - 3*o**3)*(-2 + 5 - 4) in the form c*o + m*o**2 + j*o**3 + l + w*o**4 and give w.\nAnswer: -3150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 30953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 7*3*(-2)\/6. Sort m, -5, 5 in descending order.\nAnswer: 5, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 6*m - 643. Let j(t) = t**2 + 7*t - 644. Let k(l) = -5*d(l) + 4*j(l). What is the tens digit of k(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 83*n**2 - 2*n - 2. What is the tens digit of m(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -84 + 84 - 3*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1364099 to the power of 1\/2, to the nearest integer?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1218.252582 rounded to 1 dp?\nAnswer: 1218.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of 319729474 and -4.\nAnswer: 319729470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h and 1 z when four letters picked without replacement from hrzrrzrhhzzzhzh?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a millennium in years?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -26, -35, -56, -95, -158, -251?\n\"Answer: -i**3 - 2*i - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b + -19c3?\nAnswer: -19b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -10 - (-4 + (-4)\/(2 - 0)). Suppose 5*z = -5*x + 70, 0*z - 2*x + 58 = 4*z. Find the common denominator of 158\/r*(z\/6 - 2) and -63\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 20*(32\/(-20) + 2). Solve -4*r = 2*w - 7 - 7, 0 = 3*r - w - b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -55*q + 308 - 64*q**2 + 65*q**2 - 92. Let p be x(51). Let f = 11 + -6. Solve -f*r - h = h - p, -2*r + 5*h = -28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*h + 2*h - 5*h + (-3 + 2 + 0)*(3*h + 0*h + 0*h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 divided by 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*k**4 - k - 7*k**4 - 5*k + (5*k**2 - 3*k**2 - 5*k**2)*(0*k + 0*k + k**2).\nAnswer: -2*k**4 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15 - 21. Let m = 6 - 13. Let d = k - m. Calculate the remainder when 1 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 54577 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 28676338*y + 61134561?\nAnswer: 28676338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-16)*z)\/(z\/z**(2\/25))*z\/z**(-4)*z**(-14) assuming z is positive.\nAnswer: z**(-598\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 740.9584nm?\nAnswer: 0.0000007409584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a*a**1)\/a)\/a**(1\/20))\/(a\/a**2)**(-3\/8))**(3\/16) assuming a is positive.\nAnswer: a**(69\/640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:15 AM and 1:39 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*n**2 - 3052 + 66*n - 6*n**2 - n**3 + 3048 to the form d*n**2 + o + a*n + m*n**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -2*h**2\/11 + 4060*h\/11 - 2060450\/11 = 0.\nAnswer: 1015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -19.95 - 3.1\nAnswer: -23.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*f = 40093 - 9710. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1707, 4, -5 in descending order.\nAnswer: 4, -2, -5, -1707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the first derivative of -2*u**3\/3 + 259. Let k(a) = -106*a. Give j(k(x)).\nAnswer: -22472*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 128812*i**3 - 257520*i**3 + 128788*i**3.\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 9845305 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from akenaaak. Give prob of sequence ka.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes before 9:45 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 p, and 2 b when four letters picked without replacement from gbggbggbbgbpegbb?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/(-8))\/((-4)\/24) - -1. Let i be (0 - (-6)\/(-4))*-2. Are i and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 615 = -625 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1761 (base 10) in base 5?\nAnswer: -24021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 95201061.4 to the nearest 10000.\nAnswer: 95200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (12\/5)\/(2\/20). What is the greatest common factor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/87 and (2\/60)\/(248\/(-17515)).\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 219335*b - 219581*b + 18641 = -7189 for b.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 4*p - 40 = 0, -37*i + 33*i = -p - 20 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -29417548\/3 at least as big as -9805849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30 + (-44 - -19 - -8) + 9 + 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(-9\/8))\/(s*s*s**6*s*s*s) assuming s is positive.\nAnswer: s**(-71\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 50920166 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve c = -0*z + 4*z - 0 - 3, 113*z - 112*z - 5*c + 23 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18*((-55037)\/1410 + 39).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 + -4 + 16\/2. Let o(y) = -2*y**2 - 9*y - 5. Let b(a) = -a**2 - a - 1. Let g(c) = -4*b(c) + o(c). Is g(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-5 - 0) + 7\/((-1575)\/(-920)) and ((-3)\/10)\/((-1)\/(-18)) + -1?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 200497.\nAnswer: 11, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:34 PM and 8:14 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 AM and 11:46 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -310781*j - 6944 = -310905*j for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:47 AM and 10:10 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2074393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 - 0. Let p(d) = d - b + 2 + d**2. Let m = 248 - 247. Let f(i) = -2*i**2 - 2. Determine m*f(w) + p(w).\nAnswer: -w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2154596 and 56.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1702.8  (b) -0.5  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 44, 49, 52, 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.33 - 3.03. Which is the second smallest value?  (a) 1\/4  (b) w  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1702\/21275*5\/8\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -46623057 divided by -39?\nAnswer: 1195463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 56110 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -54550262 + 4?\nAnswer: -54550255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 324844049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 686 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5429 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -35\/32  (b) 4\/7  (c) 7  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/35986 and 83\/6?\nAnswer: 107958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 3*t**2 + 93*t + 85. Give h(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*c - 4*c + 6*c)*(7*c**4 + 4*c**3 - 8*c**4 - c**3)*(2 - 4 - 7)*(0 - 2 + 0).\nAnswer: 162*c**5 - 486*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.05345 and -21.\nAnswer: -21.05345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -671700.000075 - -671688. Let p = i + 12. Round p to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -19 + (22 - -2314) + -18. What is the highest common factor of 121 and i?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4 + (-1 - -14) - 5 - -1. Solve l = f*s + 20, -l + 14 + 1 = -4*s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-2*(sqrt(637) + 0 + sqrt(637))*4*-5 + ((sqrt(637) - (sqrt(637) - (sqrt(637) + -2)) - sqrt(637) - sqrt(637))*5 - (sqrt(637)*-2 + -2))))**2.\nAnswer: -215600*sqrt(13) + 94420925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -5*h + 9. Let g be 0 - (-53 + (4 - h)). Suppose -1 = -4*o + g. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20 + -1. Suppose x + 2*h + h = u, 2*x = -2*h + 26. Let m = x - -14. Solve b + 2*o = -3*b + m, -3*b + 9 = -3*o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes after 10:34 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(2\/15)*x**(-3\/5))**7\/(x**(7\/5)\/(x**7*x))**4 assuming x is positive.\nAnswer: x**(347\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1838 (base 14) to base 10.\nAnswer: -4362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-122 - -122 - (0 - (11 - -1)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -4*b**4\/7 - 20*b**3\/7 + 60*b**2\/7 + 20*b\/7 - 8 = 0.\nAnswer: -7, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 419863826 to the power of 1\/2, to the nearest integer?\nAnswer: 20491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32269 is divided by 49?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y + 2. What is h(13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2*z**2 + 11*z + 10. Let x = 1501 - 1495. Determine l(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(1088) - -1*(-1 + sqrt(1088))**2) + sqrt(1088).\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -24 + 27. Suppose -l*g + 26 = -16. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4603464 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -115*m + 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**3 + 5*w**2 + 2*w + 3. Calculate y(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the second derivative of -4*c**5\/5 - c**4\/3 - c**3 - 5*c**2\/2 - c. Suppose -3 + 15 = -4*r. Is d(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -62897 * -0.03142\nAnswer: 1976.22374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2582\/19365)\/((-31)\/45).\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -52\/7 and -32\/25373?\nAnswer: 177611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -1820*j + 22106. Calculate the smallest common multiple of g(11) and 2.\nAnswer: 2086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*v = 3*v - 11*v - 50 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2, 3894, 9.\nAnswer: 2, 5, 9, 3894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/2)\/(4\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 534129 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -w**3 - 271*w**2 - 1848*w = 0.\nAnswer: -264, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 224256 and -0.093.\nAnswer: -20855.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h**2\/4 - 727*h + 2907\/4 = 0. What is h?\nAnswer: 1, 2907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, k: 5}. Give prob of sequence kktk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes before 5:29 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -10624 divided by -4?\nAnswer: 2656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2 + 4054780*h - 2055155106050.\nAnswer: -2*(h - 1013695)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/9 and -30\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 345.949 litres in millilitres?\nAnswer: 345949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:44 AM and 12:07 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4\/87 + 419\/348. Let p be (2 - (-12)\/(-3))*(-3)\/(-4). Which is the closest to 1?  (a) 1\/2  (b) p  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 + 3)\/(-12 - -13). Sort -0.1, 0.21, b in descending order.\nAnswer: b, 0.21, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25212 (base 7) to base 9.\nAnswer: 10070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s + 2. Let i = -8 + 5. Let y be (-6)\/(-9)*-6*-1. Let u(a) = 2 + a - y + 0. Give i*u(q) - 2*p(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -76 + 79. Suppose -q*b + 141 = -4*r - 0*r, -3*b = 5*r - 141. Does 21 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**3 - 358996*i**2 - 16109766002*i.\nAnswer: -2*i*(i + 89749)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*r + 60 = -40*r. Let p(c) = c**2 - 2*c - 1. Let i(n) = -2*n**2 + 4*n + 3. Let b(s) = 3*i(s) + 5*p(s). Give b(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*g + 3*v - 17 = 4*g, 4*g - 3*v - 7 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14712689 - 14711965.00196. Let a = 724 - u. What is a rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 715954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 14 + 1750\/(-110) + 0 + (-2)\/22. Let o = 2.9 + 28.1. Let x = o + -32.7. Which is bigger: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-15)\/(b*b\/(b\/(((b**(-15\/2)*b)\/b*b)\/b*b))) assuming b is positive.\nAnswer: b**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 431 + -375. Solve 70 + y = -42*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4146062596?\nAnswer: 2, 13, 79731973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1316699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -227062*v**5 + 3633*v + 8 wrt v?\nAnswer: -4541240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -2, 179, -2\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwq. Give prob of sequence wwq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -22435*g**3*m + 3*g**3 + 2*g*m + 37*g - m + 437 wrt g.\nAnswer: -134610*g*m + 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 909 - 729. Find the first derivative of -1993*p - 54 + 215 - 58 + u + 1697*p wrt p.\nAnswer: -296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(405) - -5*sqrt(405)*-3)**2.\nAnswer: 79379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -27837 - -28587. Calculate the greatest common divisor of o and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3.78 + -7.78. Which is the smallest value?  (a) 3  (b) -18  (c) j  (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4726916211.\nAnswer: 3, 7723, 204019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 684 and 380?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 23439591 divided by 6\nAnswer: 7813197\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 63*p - 13. Let q(w) = -2*w**2 - 189*w + 39. Let h(k) = 8*g(k) + 3*q(k). Determine h(-11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 0 + 11 + -12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 58339120 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -207 + 331. Calculate the remainder when t is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3321 times -4.068?\nAnswer: -1.3509828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 299 + 40902 = 21*a - 11005. Calculate the highest common factor of a and 565.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -104 - -111. Let m be (-9)\/t + (320\/(-56) - -6). Let g(l) = 3*l**3 + l**2 - 5. Let x(a) = 1. Let o(h) = -g(h) - 4*x(h). Give o(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 7*j**2 + 2*j + 5*j + j**3 + 0*j**3 + 2*j. List the prime factors of y(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -5*j - 58, -2*j - j - 31 = -a. Calculate the remainder when (35\/(-5 - 2))\/(1\/(-11)) is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*y + 45 - 54 = 2*l + 77, 5*y - 180 = 32*l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x + 53*x**2 - 499 + x + 501. Let q(i) = i. Determine l(q(r)).\nAnswer: 53*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3727 - 1553 = 2094*s - 1214*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -176*c**3*q**2 - 2*c**3*q + c**3 + 4*c**2*q**2 - 293*c**2 + 3*c*q**2 - 2 wrt q?\nAnswer: -352*c**3 + 8*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -5*b**3 + 18*b**2 + 165*b + 1494. Is 53 a factor of k(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -3*d + 5*m, -3*d + 16 = -0*d - m. Find s such that -6*s**5 - 22\/5*s - 4\/5 + 4\/5*s**d + 52\/5*s**3 + 0*s**2 = 0.\nAnswer: -1, -2\/3, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 = -6*i + 40 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.3 + 3.3. Which is the second biggest value?  (a) -1  (b) o  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1527.\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -5*((-18)\/27)\/(2\/3). Suppose 34 - 4 = k*y. Sort -0.3, -4, 1\/3, y in descending order.\nAnswer: y, 1\/3, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*(i\/(i**1\/i))\/i*i)**(3\/25)*(i\/(i*i*i**1\/i))**20 assuming i is positive.\nAnswer: i**(-491\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -166*d + 988475 + 12365727 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 50 - 49.9. Let u be 8\/72*(0 - 2). Which is the closest to p?  (a) -2  (b) 11  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the first derivative of 6172*a**6\/3 + 135*a**2\/2 + 22*a + 1210. Find the second derivative of k(f) wrt f.\nAnswer: 246880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9049 - -15152. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1174262379*i**3 + 522580742.\nAnswer: 3522787137*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 - 46 = -4*j + 5*x, -4*x = -5*j + 80. Let k = 17 - j. Let m(f) = -144*f - 27. Let v(r) = -11*r - 2. Let i(p) = -2*m(p) + 27*v(p). Give i(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -10591*z. Let l(q) = 7*q + 754. Calculate l(o(b)).\nAnswer: -74137*b + 754","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the third derivative of b**4\/3 + b**3\/2 - 11*b**2. Let q be h(1). Let z(f) = f + 29. Is z(q) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, f: 1, i: 1, s: 6, z: 3}. What is prob of picking 1 i, 2 s, and 1 f?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 2*j - 2. Let h be a(2). Is 1 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 3*d = -350, y + 4*d + 140 = 3*y. Let x = y + -77. Let o(a) = -2*a**3 + a - 1. Let u(c) = 2*c**3 - c + 1. What is x*u(l) - 6*o(l)?\nAnswer: -2*l**3 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 826618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 15068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -75*o + 1. Let w be i(-1). Suppose w = 4*g - 4*k, -4*k + 0*k - 91 = -5*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1423?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-12))**(-20) assuming n is positive.\nAnswer: n**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((2\/(-10))\/((-82)\/615))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*s**2 + 35871*s - 375984.\nAnswer: -3*(s - 5968)*(2*s - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s + 2*s = 468. Suppose -2*p = -p - 26. What is the highest common factor of s and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 85 - 1375 = 0. Let k = o + 223. Let w(x) = -3*x**3 + 5*x**2 - 5. Let f(c) = -4*c**3 + 8*c**2 - 8. Calculate k*w(v) - 5*f(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 531847, 531840, 531833, 531826, 531819, 531812?\nAnswer: 531805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 5, f: 11, m: 2, q: 1}. Give prob of sequence md.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is (((-4)\/3)\/2)\/(340\/(-26769390)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of -r**7\/13860 - r**6\/1980 + 11*r**4\/4 + 120*r**2. Let o(v) be the second derivative of g(v). Solve o(q) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2489768 is divided by 307?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 2*t + 2. Let y be k(-6). Let m be (6\/(-5))\/(2\/y). Suppose -f = -1 - m. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 0*y - 1 = 5*m, -5 = -5*m + 5*y. Let k be (-2)\/(-5) + (-2)\/2. Which is smaller: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47805299 is divided by 3007?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4802*p**4\/3 - 686*p**3 + 196*p**2 + 392*p\/3 + 16.\nAnswer: -2*(7*p - 3)*(7*p + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, c: 2, j: 3, m: 1, v: 3, s: 3}. Give prob of sequence vvmc.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32689, -32731, -32775, -32821, -32869?\nAnswer: -32919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6 + (-192)\/33)\/((-46)\/(-506)). Let m(q) = -2*q**3 + 8*q**2 - 16*q - 3. Determine m(v).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*w + 0*w + 3*w)*(-2 - 4 - 1)*(2*w + w - w)*(-3 + 3 - 2).\nAnswer: -56*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -50*q + 402. Let s be u(8). Solve 19 = a + 6*o - s*o, 0 = 3*a + 3*o - 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -146*y + 146*y - 273*y**2 - 349*y**6 - 172*y**2 - 203*y**6 wrt y?\nAnswer: -66240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 t, and 1 a when three letters picked without replacement from {f: 1, j: 3, i: 2, h: 3, a: 2, t: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2 - 23*t + 15. Let h be z(-21). Find the third derivative of -25*q**4 - 102*q**2 - 62*q**5 + h*q**5 - 5*q**6 + 25*q**4 wrt q.\nAnswer: -600*q**3 - 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -188*q**3 - 2 + 4*q + 97*q**3 + 90*q**3 - 3*q**2 + 4*q**2 + q**4 to x*q**4 + a*q + v + o*q**3 + p*q**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2*q - 111 = 0. Suppose -4*v - v + 10 = 0, -5*r - v + q = 0. What is the derivative of r*g + 1 + 4 + 0 - 8*g wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/33?  (a) 3  (b) 141  (c) -0.08  (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 + 18 = -14*s + 19*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 168 + -175. Sort 0, 5, f in increasing order.\nAnswer: f, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3623180 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/1)\/(21\/3)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(3\/((-3)\/(-2))) + 1. Let q(a) = 6 + 106*a**y - 2*a**3 + 11*a - 224*a**2 + 3*a**3 + 106*a**2. Calculate q(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/209155 and 56\/9.\nAnswer: 1882395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most 7\/729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 72822267 to the nearest integer?\nAnswer: 8534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + g)*(3 + 2 - 3)*(-3 + 35 + 30 + (4 - 5 + 0)*(1 + 2 - 2))*(6 - 15 - 3)*(2 + 3 - 6)*(6*g + g - 2*g).\nAnswer: 7320*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2738.3340011 - 2738.544. Let w = 0.21 + r. Round w to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -119f78 (base 16) in base 14?\nAnswer: -220c76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -7, -5, 2\/15, -8191, -2, 8 in decreasing order.\nAnswer: 8, 4, 2\/15, -2, -5, -7, -8191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 227*y**3 - 1082*y + 1082*y + (3 - 6*y - 3)*(-4*y**2 + 0*y**2 + y**2) + 2*y**3 - 3*y**3 - 3*y**3 as h*y**3 + u*y**2 + r + f*y and give h.\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 5*c**2. Let w = -41 - -46. Suppose 0*a = 5*j - 2*a - 43, 2*j - w*a - 34 = 0. Let k(x) = -4*x**2 - 17*x**2 + j*x**2. Determine k(b(t)).\nAnswer: -350*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/15, -0.5, 0.17, 24.7?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 268 - 252.9. Round j to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -131*w + 2887. Determine r(23).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y**3 + 2*y**3 - 6*y**3)*(-4 + 4 - y) + 5*y**4 - 2*y**4 - y**4 + 3*y**4 + y**4 + 0*y**4.\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 559*m**2 + 41?\nAnswer: 1118*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1110 (base 2) to base 8\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -474*g + 752*g = 6116 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**0*x)\/x)**29)**(2\/13)*(x**0)**(-2\/15)*(x*x\/x**1*x*x)\/(x*x**5*x) assuming x is positive.\nAnswer: x**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9 + -6. Let k(b) = b**2 - 3*b + 2. Let t be k(5). Solve f*i + i = t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the first derivative of -1\/30*s**5 - 263\/9*s**3 + 38 - 147\/2*s + 11\/6*s**4 + 77*s**2. Factor r(x).\nAnswer: -(x - 21)**2*(x - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -199 - -136. Let n = 75.9799081 + -12.9798551. Let r = n + f. What is r rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 25731 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 0.1, -3, 10\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -84.0636624 to 1 decimal place.\nAnswer: -84.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*l**4*z - 51*l**3*z**2 - 221*l**2*z**2 + 2*l*z + z**2 wrt l?\nAnswer: 72*l*z - 306*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/44 + (-6 - (-595)\/55).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -220 divided by -530\nAnswer: 22\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 741.4315 centimeters?\nAnswer: 7414315000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**2 + 6*t - 73. Let y be h(-13). Solve 2*q = 8*q + y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the third derivative of 0 + 1\/6*f**7 + 5\/336*f**8 + 0*f + 10\/3*f**4 + 10\/3*f**3 + 25\/12*f**5 - 13*f**2 + 19\/24*f**6. Solve o(w) = 0 for w.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/(-4))\/(6\/12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 - 143*m**2 - 1300*m + 3523. What is b(-133)?\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -165 - -161. Let a(h) = -h**3 - 2*h**2 + 5*h - 9. Let z be a(b). Solve 5*x + 2*f + 17 = -0*f, 3*x + 6 = z*f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (5 - 2 - 0) - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2875 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 13996 smaller than 13995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 50, 34, 0, -58, -146, -270?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -135*c**3 - 7*c - 9*c + 365*c**3 + 16*c.\nAnswer: 230*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/4 and (-100)\/96*3\/10?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7915\/23 - -344. Let z = -0.0617 - 4.9383. Sort 0.1, z, p in ascending order.\nAnswer: z, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 1 + 1)*(p - 6*p + 3*p) + 3*p - 4*p - p + 11 + p - 11)*(0 + 0 - 2*p)*(-p + 3*p + p).\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -658, -77, 1, -5 in decreasing order.\nAnswer: 4, 1, -5, -77, -658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 106869269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 27569\/9 - 3063. What is the nearest to 68 in d, 0.2, -3\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**2 + 18*t + 4. Does 15 divide s(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(1\/7))**(-4\/7)*(q\/q**(-6\/11))\/q**(8\/13) assuming q is positive.\nAnswer: q**(3085\/7007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - -7. Let y be (36\/8)\/(l\/4). Suppose 0 = -y*x + 2*x + 16. Solve -2 = -2*m - x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20949 = -24*x + 113691. Is 22 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 + 0)\/((-2)\/(-4)). Let j = f - 9. What is the units digit of 1*(-2 - j - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (47250\/3000)\/(12\/(-3)*(-9)\/6)?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39186 is divided by 3915?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -2*c - c + 3, -6 = 2*l - 3*c. Suppose -m + 2*j = -2*j + 13, -12 = -l*m - 5*j. Is (-69 + 3 + m)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 72624 and 8978142.\nAnswer: 71825136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -124*a**2 + 41*a**3 + 37*a**2 - 48*a**3.\nAnswer: -7*a**3 - 87*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*p**2 - 4*p**2 + p**2)*(3*p - 2*p - 3*p)*(-17 + 87 - 35)*(-3 + 1 - 7) to the form t*p**2 + z + u*p**3 + b*p and give u.\nAnswer: 1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (22\/(-3))\/((-60)\/450). Suppose c = 2*i + 53. Suppose -13 = -4*r - 5. Calculate the remainder when r is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o and 1 p when four letters picked without replacement from {a: 4, n: 3, o: 3, t: 6, p: 4}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5327*v**6 + 2292*v**2 - v - 2?\nAnswer: -639240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-192)\/48*((-2)\/8 + 1) + 27. Solve 4*o + 2*b = 26, 5*o + o - 2*b = a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 4*l**2 + 174880*l = 0.\nAnswer: -43720, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -9  (b) -211\/3  (c) 1\/30  (d) -16  (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48 is divided by 1\/10 - 2232\/(-80).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2259 = -65*a + 81. Solve 6 = -10*k + a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5\/((-25)\/5))\/(5\/(-20))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 2*w**2. Let o(l) = -2*l - 1. Let x(r) = 455*r + 210. Let z(f) = -210*o(f) - x(f). Calculate g(z(a)).\nAnswer: 2450*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/3)\/(39\/(-9)). Let x = -2666\/5187 - -2\/1729. Let s = j + x. Which is smaller: 1\/3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(243) + (sqrt(243) - (sqrt(243) + 0 + sqrt(243))*4 - sqrt(243)) + 3 + sqrt(243)*-2 + 5 + sqrt(243) + 5*(sqrt(243) + 2))**2.\nAnswer: -972*sqrt(3) + 2511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -13, -33, -57, -85, -117, -153, -193?\n\"Answer: -2*f**2 - 14*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -0.07, -6\/5 in increasing order.\nAnswer: -6\/5, -0.4, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 27220703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2356*w**2\/7 - 37600*w\/7 + 1536\/7 = 0.\nAnswer: -16, 24\/589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 divided by -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + 1. What is the units digit of 4 + (-1 - v) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (((-2)\/10)\/1)\/(-21 + 22). What is the nearest to -1 in 0, 0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/19, 2, 2942\/25?\nAnswer: 2942\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -6*b**2 + 14*b - 42. Determine t(5).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 293383?\nAnswer: 397, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -8418, -4, -10717 in descending order.\nAnswer: -4, -8418, -10717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11915 + 429001\/36. Find the common denominator of ((-73)\/18)\/1*2 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-56)\/168)\/(0 + 1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -44000011 + -10?\nAnswer: -44000021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 - f**2 - f + 1. Let o be n(1). Solve 0 = 2*g + k + 2, o = g - 4*k + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b = -12*b + 5*p - 5, -4*p = -2*b - 4. Suppose 0 = -2*t - b*t + 3*u + 1363, 4*t + 2*u - 2766 = 0. List the prime factors of t.\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*v + 5*v**3 + 2*v - 25*v**3)*(-4*v + 3*v + 0*v).\nAnswer: 20*v**4 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4549 divided by 677.\nAnswer: 4549\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 1  (b) 1\/2  (c) 1\/3  (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q. Let g(z) = 18*z + 18837305. What is h(g(l))?\nAnswer: 18*l + 18837305","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-4\/7)*u)\/((u*u*(u\/u**(-1))\/u*u*u)\/u) assuming u is positive.\nAnswer: u**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19\/((-456)\/192)*(-3)\/(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2410, 2353, 2242, 2065, 1810, 1465?\n\"Answer: -2*x**3 - 15*x**2 + 2*x + 2425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 64.0241 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 38027467579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 t, and 1 y when three letters picked without replacement from {f: 1, o: 1, d: 5, y: 3, t: 3}.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to 205\/871939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 65 less than -2164208?\nAnswer: -2164273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -231\nAnswer: -5\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*s**2 - 2984*s**4 + 5*s**3 + 11*s + 2982*s**4 - 2*s as i*s**4 + a*s**2 + v + u*s + h*s**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 54791*d. Let l(i) = 77*i - 1. Calculate z(l(g)).\nAnswer: 4218907*g - 54791","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 85331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**3 - y**2 - 3*y - 1. Let j be f(-2). Let z be (-6)\/j - (-28)\/6. Solve 0 = -2*h - z*d - 28, 0*h - 5*d = -3*h + 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 147.734939 to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (394*a**3 - 27908 + 27910 + 104*a**3)*(6 - 2 + 0)*(-3 + 3 + 1) in the form u*a**2 + w*a**3 + i + t*a and give w.\nAnswer: 1992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a + 122?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 25 + 13 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 22301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 519335 is divided by 150.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 243088, 486327, 729566, 972805?\n\"Answer: 243239*r - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-96)\/(-42) - (-8)\/(-28). Suppose 0 = -3*y - w - 22, -4*y = -r*y + 3*w + 24. Let a(l) = -5*l**3. Let m(b) = b**3. What is y*a(q) - 26*m(q)?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-4012)\/(-85) + (-88)\/440\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6458110 is divided by 205?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 36\/(-10800)*-25 + (-7332)\/(-144) + -1 + -11.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -810*d**3*v + 2*d**2*v - d**2 - 1136*v wrt d?\nAnswer: -2430*d**2*v + 4*d*v - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.194 + -0.059. Let a = -10.747 + z. What is the nearest to -1\/2 in a, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 29926956 - 11326956. What is q rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2626026 take away 0.05?\nAnswer: -2626026.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t - 3. Let l be b(-6). Suppose -l*u + h = -1341, 2*u = -h - 3*h + 894. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 25  (b) 4  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o + 2*o - 4*o)*((-22*o**2 + 10*o**2 - 13*o**2)*(46 - 8*o - 46) - 2*o**3 - o**3 + 2*o**3) - o**4 + 4*o**4 - 2*o**4.\nAnswer: -397*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 - -7. Let z = 2 - o. Suppose -2*s - 5*h + 26 = 0, 3*h = z*h + 4. Solve -s*b + 10 - 1 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 40\/25*(3 - -7). Suppose 5*v + 5*c - 560 = 0, -5*c + 130 - 18 = v. Calculate the greatest common factor of d and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 + 41*t**2 + 5. Let q(s) = 40*s**2 - 84214 - 84201 + 168421 - s**3 + 0*s**3. Determine -6*h(c) + 5*q(c).\nAnswer: c**3 - 46*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (2556\/355)\/(16\/20)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 4*sqrt(343).\nAnswer: -1 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 + -11. Let w be (-14)\/l + (-9)\/12. Solve 2*o - w = o, 3*j + 4*o = -11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6817 is divided by 294?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 121, 958, 3211, 7582, 14773?\nAnswer: 25486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/8, 19\/16, -3 in descending order.\nAnswer: 19\/16, 3\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -723000 to the nearest 10000.\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 125707 is divided by 152.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001177493 rounded to 6 dps?\nAnswer: -0.001177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*h + 2*h + 9*h - 3*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.85 + 0.811. Let i = 5.039 + d. What is the closest to -2\/5 in -2\/9, i, -10?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 72, 149, 276, 453, 680, 957, 1284?\n\"Answer: 25*p**2 + 2*p + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 2*h + 5*a + 30 = 0, 5*h + 5*a - 145 = 0. Solve 3*o - 10 + h = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 16*w + 8. Let c(b) = b - 1. Let y(p) = -8*c(p) - d(p). What is the tens digit of y(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*s + 557 - 557.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-631479)\/15)\/((-37)\/185) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -2*x + 3*x + 0*x. Let k = 0 - -1. Let t(w) = 4*w + 1. Let q(i) = k*n(i) - t(i). Determine q(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5127032 is divided by 3781.\nAnswer: 3777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-11))**(-20) assuming p is positive.\nAnswer: p**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2 - 18. Let j be z(4). Let h be (j - 20\/(-16))*(0 + -8). Suppose -3*a - 51 = -2*l - h*a, 3*l - 72 = -3*a. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 56*i**4*p**3 - 69*i**4 - 30*i*p - 3*i + p**3 + 38 wrt i.\nAnswer: 672*i**2*p**3 - 828*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1873335 is divided by 12655.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2802*t + 135 = -2829*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-14) - 8*(-3)\/14. Let o(w) = -w - 6*w + 7*w - n*w. Let g(m) be the second derivative of -5*m**3\/3 + 10*m. Give g(o(r)).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 + 10*d - 1. Let y(k) = k + 1. Let m(z) = l(z) - 4*y(z). Let i be m(5). Factor 0 + 0*p + 2\/5*p**5 + 0*p**3 + 0*p**4 + i*p**2.\nAnswer: 2*p**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17.5 + 0.5. Let p = -120 - -120.095. Let r = 0.005 + p. Which is smaller: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.74 - 0.26. Let y = 21 - z. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 + -1. Let u(g) = g**3 - g**2 + g + 16. Let z be u(0). Suppose 4*m = 56 + z. What is the remainder when m is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1*2)\/((-14)\/7). Let w = 287 + -290. Sort w, d, 22 in descending order.\nAnswer: 22, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 205115 and 1260.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from {b: 4, p: 6, i: 3, o: 2, x: 3}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((1 + sqrt(700) + -2 - sqrt(700) - ((sqrt(700)*2 + 5 - sqrt(700) - sqrt(700)) + sqrt(700))) + 5*(-3 + -1*sqrt(700)*1)))**2.\nAnswer: 22680*sqrt(7) + 230769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 22, 195, 644, 1501, 2898, 4967, 7840?\n\"Answer: 22*f**3 + 6*f**2 + f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1172 + 697 = 29*k - 2133. Let g(l) = 2*l**2 - 15*l - 8. Let t be g(11). Calculate the greatest common factor of k and t.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**6*z)\/(z\/(z*z\/z**(2\/5))))**(1\/16) assuming z is positive.\nAnswer: z**(19\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h**5 + 308*h**4 - 7160*h**3 + 33484*h**2 + 40950*h = 0. Calculate h.\nAnswer: -175, -1, 0, 9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.3  (b) -3\/4  (c) 167\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 194 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 14*c - 2. Let y(f) = 434*f - 63. Let d(x) = 126*g(x) - 4*y(x). Let l(s) = 2*s**2. Give d(l(v)).\nAnswer: 56*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 - 5. Solve -q*t = 4*h + 14, -5 = 2*t + 3*h + 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/6*(14 + (-841)\/58). Which is the fourth smallest value?  (a) t  (b) 22  (c) 5  (d) 1\/3  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10488*c = 10480*c + 64 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2663*0.5.\nAnswer: 1331.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 379*u**2 - 10*u - 28. Let r(v) = 126*v**2 - 4*v - 10. What is -8*r(z) + 3*w(z)?\nAnswer: 129*z**2 + 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -227700 to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6576 = 8*g - 3688. List the prime factors of g.\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((64\/580)\/4)\/(62\/(-11470)*37)?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-342)\/228*1\/(3\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4742 + -774. What are the prime factors of r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 0, -19, -66, -153, -292, -495, -774?\n\"Answer: -2*v**3 - 2*v**2 + v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o\/(o\/(o**(-5)\/o*o))))\/(o**(-1\/3)*o)*o**(-6)*o*o**(-5) assuming o is positive.\nAnswer: o**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8\/5 + (-4)\/(-10). Suppose 0 = i*f - 42 + 6. What is the lowest common multiple of f and (10 - 9) + -1 + (6 - 5) + 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2355867869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:20 AM and 4:00 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of y**7\/280 - 3*y**6\/40 + 3*y**5\/5 - 2*y**4 - 3*y**3 - 28. Let m(v) be the third derivative of n(v). Factor m(r).\nAnswer: 3*(r - 4)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -19 + 17. Let g = -0.1 + 0.3. What is the closest to -1\/3 in 5, g, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the second derivative of -i**5\/20 - 5*i**4\/12 + 7*i**3\/6 + 3*i**2\/2 + i. Let x(o) = -o**2 - 17*o + 12. Let d be x(-18). What is s(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -48.77 less than 8.3?\nAnswer: 57.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i + 2. Give s(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -28 + 1?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -483 - -473. Sort 2, -2, 5, g in increasing order.\nAnswer: g, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 330 is divided by 91?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 26\/9341 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 8  (b) 1622  (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -93 at least as big as -49124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -43.3 + 41. Let v = -2.04 - m. Let u = v - 0.26000026. What is u rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**5\/(t\/(t*t\/t**2))*(t*(t*t**1)\/t*t*t)\/(t**6*t*t))\/((t\/t**(-2\/3))**11)**(-1\/8) assuming t is positive.\nAnswer: t**(55\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 594659*f**4 - 2*f + 104560658.\nAnswer: 2378636*f**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -559.8 + -1458217141\nAnswer: -1458217700.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 6 + 2 - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 242 = b. Let j = -108 - b. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108) + (sqrt(108) - (sqrt(108)*-2 - sqrt(108))) + 4)**2 + -5 - (sqrt(15) + sqrt(15)*-2*-3)\/(sqrt(60)\/(sqrt(36)\/sqrt(3) + sqrt(12))).\nAnswer: 226*sqrt(3) + 2711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -12249 divided by -1361?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17, 27, 37, 47?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12129?  (a) -4  (b) 0.02  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1447.\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-15)\/(-100)*12)\/3)\/(3\/4).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/18 and -20\/5787.\nAnswer: 11574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 51, 82, 87, 54, -29, -174?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 5*g**3 - 20*g**2 - 220*g + 480 = 0.\nAnswer: -6, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 50 and 40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11326994 or 11326993?\nAnswer: 11326993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, z: 2}. What is prob of picking 2 k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are 190\/23 and 7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the third derivative of -l**6\/60 - l**5\/60 + l**4\/24 - 2*l**3\/3 - 8*l**2. What are the prime factors of o(-3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 31969\/12 + -5337\/2. Calculate the common denominator of 125\/18 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3619 divided by 36788\nAnswer: -3619\/36788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*14\/(-14)*3\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -3*l**3 - 4*l**2 - 4*l - 5. Suppose 2*j = -4, 0*j = 4*m + 3*j + 26. Let v(c) = -3*c**3 - 5*c**2 - 5*c - 6. Calculate m*s(y) + 4*v(y).\nAnswer: 3*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4023800 and 32450?\nAnswer: 4023800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -12.18354328 to two dps.\nAnswer: -12.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.04 - 0.26. Let u = 12 - 7. Let a be (-90)\/6 + (-423)\/(-27). What is the nearest to 8 in a, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f + t - 66032 = 0, -4*f + 18*t - 13*t + 33016 = 0. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 110879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, -23, 68\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1878228 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 265849738 by 18403.\nAnswer: 14446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -282  (b) -2  (c) 2\/5  (d) 603\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = t - 5*y, 2*t - 14*y + 109 = -11*y. Let v(x) = 22*x + 8. Let m be v(6). Let z = t + m. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 - -16. Let h = 16 - g. Factor -4*l**4 - 12*l + 2 - 5*l**4 + 12*l**3 + h*l**2 + 2 + 0.\nAnswer: -(l - 1)*(l + 1)*(3*l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/(s*s\/(s**(-1\/26)*s))*s)\/(s\/(s\/((s\/(((s\/((s\/(s*s**2*s))\/s)*s)\/s)\/s))\/s*s)))*(s\/s**3)**33 assuming s is positive.\nAnswer: s**(-1587\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 11 = 4. Solve 25 = o*a + 5*x, 3*x = 8*x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**2 - 8*n - 12. Let u be q(9). Suppose 4*b - 1 = -5. What is the nearest to -1 in u, -1\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 35*q**2 - 17*q**2 - 17*q**2. Let r(z) = -3*z + 5. Let k(c) = 4*c - 6. Let x(v) = 5*k(v) + 6*r(v). Calculate i(x(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the third derivative of 154 + 1\/30*z**5 + 0*z + 0*z**3 + 0*z**4 - z**2. Let m(i) = 49*i**2 + 3. Calculate s(m(g)).\nAnswer: 4802*g**4 + 588*g**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*c**3 - 2*c**3 + c**3 - 4*c + 4*c + 2*c**3 + (2 - 2 + c**2)*(-c - 2 + 2).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/38129832 and 83\/200382?\nAnswer: 266908824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 5091260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-2 - 0) - (0 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 14 - 54 = -2*o, 0 = 3*o + 3*c - 60. Let r be (6\/9)\/(2\/(-66)). Let q = r - -32. Calculate the highest common factor of q and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13187156 to the power of 1\/2, to the nearest integer?\nAnswer: 3631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105 - 1725 = -2*y. Let m = 18638 - 18608. Calculate the highest common factor of y and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5010 - 7879. Let c = -1820 - w. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -104\/105 and 32\/285?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17617 is divided by 49?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 354116 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8599 by -2.\nAnswer: 8599\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - s = x + 10, 0 = -4*x - 2*s - 12. Let q = -63 + 47. Calculate the remainder when 60 is divided by 4\/(q\/21)*x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*k - 634 - 362. Let f = k - 23. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 69.18022 + -56856\nAnswer: -56786.81978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w + 2*p + 22 = 6, 4*w - 10 = -p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1)\/8)\/(438\/584))\/(4\/1776*-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, t: 7, n: 5}. What is prob of sequence xt?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.2*317.\nAnswer: 380.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**3\/2 + 10630*i**2 + 42526*i + 42528.\nAnswer: -(i - 21264)*(i + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*x - 10*x**2 + 5*x)*(7*x - 24 - x + 26) + (6*x - 2*x - 3*x + 3*x**2)*(6 + x - 6) to t*x + u*x**2 + n + h*x**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-14)*(-84)\/(-21).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * 13153232.\nAnswer: -52612928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -226 - -407. What is the remainder when s is divided by 54?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*u + 2*u = -5*u + 27*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -4*d. Let c be g(-18). Suppose c = -4*l + 256. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(-3) + 2\/(-10). Let i = 1738 + -1737.9. Let p = 92 - 1014\/11. What is the nearest to p in i, -2\/5, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 302.\nAnswer: -3\/302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 731*a**2*x**3*y**2 - 2*a**2*x**2*y**2 - a**2*x*y**3 + 2*a**2*y**3 + 1138*a*x + 147*a*y + 57557*x**3*y**3 wrt x?\nAnswer: 4386*a**2*y**2 + 345342*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 4*m + 38 = 0, -2*q + 5*m - 8 = -5*q. Suppose 3*i + q = u + 17, -3*i - 5*u = -17. Suppose -4 - 6 = -5*a. Sort -3, a, i.\nAnswer: -3, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -65 - -457\/7. Let w be 6 - 10 - (-3 - 2). Which is greater: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z + 11696 = -2*j + 11664, 359 = 2*j + 21*z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 404.92 - 404.9. What is the biggest value in -6, d, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-258)\/63 + 4 - ((-11750)\/(-2310) + -5). Let y = -5 - -17. Let g be -2*15\/y*2. Which is the closest to -0.03?  (a) -4  (b) s  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -334, -1381, -3104, -5485, -8506, -12149, -16396, -21229?\nAnswer: -26630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 90 - 82. What is the remainder when 55 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115*a - 2*l - 3337 = 0, 73 = -3*a + 5*l - 13 + 4 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17*0.1.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**7\/m)\/(m**(-17)\/m))\/(((m\/m**(-23))\/m)\/m*m\/(m\/(m*m*m**(-12)))) assuming m is positive.\nAnswer: m**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -5*y**5 + 715*y**4 - 17975*y**3 - 931875*y**2 + 27562500*y = 0.\nAnswer: -35, 0, 28, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 423674172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -889*p**2 - 2566*p + 8061697?\nAnswer: -1778*p - 2566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5\/(5\/4 - (-2)\/(-8)). Suppose 3*z + q*h + 1481 = 5*z, 5*z - 3*h - 3750 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.3 + -5.9. Let l = g - 0.2. Let o = l - -4. Which is the closest to 0.2?  (a) 1\/4  (b) 5  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((q*q**(-5)*q)\/q)\/q**(-4\/9))\/(q**7*q*q**(-2)))**(-10\/11))**50 assuming q is positive.\nAnswer: q**(43000\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003764 to five decimal places.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/4)\/(6\/24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the second derivative of -41*c - 11\/100*c**5 - 27\/10*c**3 - 3\/4*c**4 + 0 - 27\/5*c**2 - 1\/150*c**6. Find j, given that a(j) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -15*k**2*y**2 - 253860*k**2*y - 64*k**2 + 57957 with respect to y.\nAnswer: -30*k**2*y - 253860*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -15, -13, -11?\n\"Answer: 2*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10*((-806)\/65 + 12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i**3\/5 + 30*i**2 + 432*i\/5 = 0. Calculate i.\nAnswer: -72, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-476)\/(-10) + 0)*190\/76. Suppose -4 = u - z. What is the greatest common divisor of 69 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (10 - 7)*(-1)\/4*-8. Let z(q) = q**2 + 4*q + 8. Let w(u) = -5*u**2 - 16*u - 32. Let t(g) = 2*w(g) + 9*z(g). Calculate t(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38114430 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -1) + -16 + -581 + 586?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 347 + -182. What is the highest common factor of 275 and g?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 - 5. Suppose 2*x + 26 = 5*h, -5*x + 5*h - 103 = n*h. Let b = 30 - x. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z**2 + z**2 - 3*z**2)*(4*z**2 + 17 - 17)*(-9 + 53 - 8).\nAnswer: -144*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -43, -38, -39, -52, -83, -138, -223?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 76\/(-36)*1700\/(-68) + (-6)\/(-27).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 - 12*o + 23. What is f(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.09 in 3\/2, -369, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1015 * 4\nAnswer: 4060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 - 111111?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 163 + -387. Let j = -128 - y. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1058300 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes before 6:18 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 2*i**2 + i**2 + 2*i**2 - 3*i**2 - 2*i**3 - 13*i to f*i**2 + p + t*i + d*i**3 and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 52 = 2*c - k, 100 = -4*c + 4*k. Let o be 0 + -37 - (-1 + -1). Let g = c - o. What is the remainder when 22 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 3*c + 11. Let x be 18*4*(-1)\/(-3). Let l = -19 + x. Let w be h(l). Calculate the highest common factor of 26 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a and 1 o when four letters picked without replacement from aaaaaaaaaaaao?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 4\/3, 1.4 in increasing order.\nAnswer: 4\/3, 1.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21*(-5)\/135)\/(1\/9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -324\/7 or 0.06?\nAnswer: -324\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92*f + 1 = -93*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (0 - 4 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 63\/7*-2*1. Let z be (-13)\/1 - y\/6. What is the tens digit of (-790)\/(-25) - 4\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -45.318\nAnswer: -40.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 4*c**3 - 228360*c**2 + 40098432*c - 1762968064 = 0.\nAnswer: 88, 56914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 - 92*h**2 - 181*h - 95. Let g be q(-90). What is the closest to 2\/199 in 3\/7, -4\/9, g?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, n: 7, e: 6}. What is prob of picking 2 n?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-62)\/33 - (1530\/165)\/(-17)) + -8.\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.71759286 to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 33 - -30. Let i = 130 - y. Let j = i - 67.00000037. What is j rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**3 + 6*b**2 + 3*b - 14. Let z be s(6). Solve 5*k + 3 = -3*j, 0 = 4*j + z*k + 6 - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 66.6041 less than -10?\nAnswer: -76.6041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -175 take away 2.686384376?\nAnswer: -177.686384376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 3*t**3 + 5*t**2 - 5*t + 5. Let b(j) = 4*j**3 + 7*j**2 - 7*j + 7. Suppose f = -1 - 1. Let s be (-1)\/(-2)*f - 6. Calculate s*y(m) + 5*b(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -16, -11 in decreasing order.\nAnswer: -9, -11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27389 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8986768 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the second derivative of s**6\/5 + s**3 - 2*s. Find the second derivative of j(b) wrt b.\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 66*b**2 + 3*b - 10. Let o be v(2). Let i = 261 - o. Let k(w) = 6*w**3 + w**2 - w. Give k(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b + 2*b**2 + 3*b - 5*b)*(36 - 6 + 9)*(24*b**2 + 137 - 137)*(3 - 2 - 2 + (4 - 4 + 2)*(5 - 1 - 5) - 2 + 0 + 4 - 4 + 1 + 5 - 4 + 4 + 2).\nAnswer: 5616*b**4 + 2808*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*m - 1 + 2*m + 1 + (4*m - 3*m - 2*m)*(623 + 644 + 97) in the form w + a*m and give a.\nAnswer: -1371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 60*y = 55*y + 7, 8 = 4*m + 2*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*f + f**2 - 4*f)*(-f + 5*f - 2*f) - 866*f**3 - 1463*f**3 - 183*f**3 - f**3 + 0*f**3 + 5*f**3.\nAnswer: -2506*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 5*b - 12, b + 3*v = 4*v + 2. Solve b*y - y = -2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**3 + 4*d**2 - d - 2. Suppose 2*f = -f - 6. Let h = f + 5. Calculate the smallest common multiple of 28 and j(h).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -1 - (-10 + 8 + (-454 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as 17\/1230965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.4 - 7.4. Let r = -6.999896 - h. Round r to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -66 + 70. Suppose v*x - 9 = -u + 5, -5*x + 15 = 0. Suppose -u*h + 11 = 3. Sort 1, -2, h, -3 in descending order.\nAnswer: h, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 2*g**3 + 6*g**2 - 15*g + 58. Let s be a(4). What is the greatest common divisor of 18 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.696694869 and 4.\nAnswer: -2.786779476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13319 - -13322. Determine v, given that -8\/9*v**2 + 2\/3*v + 2\/9*v**s + 0 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.643 - -0.243. Which is the biggest value?  (a) k  (b) -4  (c) 0.1  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j + 31 = 61. Let b = -594 + 589.91. Let v = -0.09 - b. What is the third smallest value in v, -3\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 829082 divided by -4\nAnswer: -414541\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*x**(1\/5)*x)\/x**(-2\/9)*x**9\/x**(-2\/7))**(-11) assuming x is positive.\nAnswer: x**(-44033\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 334930721.\nAnswer: 334930721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 7209 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - l = 31, 0*i + 0*i + 0*i + i = -6*l - 36 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 164, -4, -22, 0, 251 in increasing order.\nAnswer: -22, -4, 0, 2, 164, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 + 6*h**2 + h - 2. Let m be v(4). Let j = m + -24. Solve -3*g - j = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 181 or 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*x - 4*x - 1 + 4*x)*(3*x + 5 - 5) in the form t*x + j*x**2 + f and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**3*m**(-6)*(m**(2\/3))**(-25))\/(m**(-2)*m*m\/m**(-3\/5)*((m*m\/m**6)\/m)\/(m*m**(-1))) assuming m is positive.\nAnswer: m**(-229\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -783*t + 7083*t + 115723 + 271964 - 22287 for t.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (35\/(-8))\/((-195)\/468)*(-30)\/45\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 56545931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -26*c - 5. Let h(i) = -5*i. Let z(q) = 11*q + 1. Let t(k) = -4*h(k) - 3*z(k). Let p be -3 - 1 - (-5 - -1 - 5). Calculate p*t(m) - 3*b(m).\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*m + 30 = 250. Solve -2*q = -2*r + 5 - 1, m*q + 30 = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -11*k - 71 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, -3070, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -232620*p + 232356*p + 12936 = 0 for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:34 AM and 7:12 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0873 minus 0.419765?\nAnswer: -0.507065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14 and 59612.\nAnswer: 59612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70*q + 69*q + 240 = 0. Suppose 0 = 4*l - 3869 + 3837. Calculate the lowest common multiple of q and l.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1517*0.02\nAnswer: -30.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 1743507\nAnswer: -1\/1743507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -2*x**4\/9 - 22*x**3\/3 - 622*x**2\/9 - 370*x\/3 + 200 = 0.\nAnswer: -15, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2705674780?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 - -2. Suppose -2*h + 3*x = p, 2*h - x - 7 = -2*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*l + 5*l**3 - 4*l**3 + 7*l + (2*l**3 - 4*l**3 + 0*l**3)*(3 - 1 - 1).\nAnswer: -l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3335 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/2*6\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -6  (b) 0.1  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 3*w - 40 = 0, 0 = 5*j - 9*j + 5*w + 92. What is the least common multiple of j and 316?\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 35093?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of g**4\/2 + 61*g**3\/9 - 14*g**2\/3 + 69*g. Let p(r) = 0. Calculate r.\nAnswer: -7, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wiwi when four letters picked without replacement from wwiiwwwiiwii?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r + 5*v - 4, -2*r - 9*v = -12*v - 2. Let q be 7\/(-4) + (-6)\/(-8)*r. List the prime factors of 2\/(q*2) + (35 - -78).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -7*d**4\/4 - 7230829*d**3\/4 - 466825354583*d**2 + 2067401781835*d - 800285760300 = 0. What is d?\nAnswer: -516490, 3\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 722296792 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, -39397, 0 in descending order.\nAnswer: 3\/2, 0, -39397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ctctcyyccaaytcy. Give prob of sequence ytcc.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 2*n**4 - n + 2*n + n to t*n + v*n**4 + s + k*n**2 + m*n**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7*c**3 + 82770*c**2 + 473212*c - 141960.\nAnswer: -(c - 11830)*(c + 6)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 344 at most as big as 342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 30137796037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 17529 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-3)\/(-3) + 1)\/((-2)\/17). Let a(o) = -1937*o**2 + 13*o + 14. Let v be a(f). Round v to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 137\/108 and 23\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10.4 - -1.4. Let t = 9.2 + k. What is the closest to 2\/3 in t, -2\/9, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 + (-54)\/60 + (-6)\/10. Sort 0.4, s, 0.3 in increasing order.\nAnswer: s, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-11)\/55)\/((9\/(-15))\/(-1))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*o**4 + 4*o + 7*o**4 + 8*o**4 + 2*o**3 to the form t*o**4 + l*o + c + y*o**2 + u*o**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 620373 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5921 + 5?\nAnswer: 5926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -205 or -204?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 788  (b) -0.3  (c) 161  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 22.688, 2\/109, -10\/3, 1, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 21577571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**3\/4 + 15*n**2\/2 - 55*n\/4 + 15\/2.\nAnswer: -5*(n - 3)*(n - 2)*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -22202131130 (base 4) in base 12?\nAnswer: -b12878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**2 + 314440*o + 4943625680.\nAnswer: 5*(o + 31444)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/80 and -49\/28080.\nAnswer: 28080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 7 + h**3 - 7*h**2 + 0*h**2 + 4*h - 3*h**2 + 3*h**2. Let w be x(6). Is 35 a factor of (2 - 3)\/(w\/875) + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 29*s - 794. Let b(h) = 34*h - 796. Give 5*b(c) - 6*x(c).\nAnswer: -4*c + 784","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -41\/109 or -1?\nAnswer: -41\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, 3, 0.\nAnswer: -17, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -27 + 19. Let q be (-12)\/8*d\/6. Suppose -h - q = -30. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + 3. Let k(o) = -4*o - 4. Let g be k(-1). Suppose -3*a - 3*j - 5400 = -g*a, 2*j = y*a + 5400. What is a rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6629 or 6630?\nAnswer: 6629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 - 48*r**2 + 12*r - 579. Determine b(48).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21\/71737943 and -15\/253.\nAnswer: 789117373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 166888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 262741159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -12\/13, -1, 105?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (52*k - 258*k - 126*k)*(7 + 3 - 3).\nAnswer: -2324*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 5, 2\/5, -999?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11, 21, 31?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -92*s**5 - 189*s**4 + 2*s**3 + 2700*s**2 - 3*s - 5 wrt s.\nAnswer: -5520*s**2 - 4536*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**2 + 4*g + 2. Let b be d(-4). Suppose -136 - 548 = -6*k. Suppose -b*t = t - k. Is t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*a = 312 - 1224 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -218467971 or -218467970?\nAnswer: -218467970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 19 = 2*a - 2*h, 2*a + 4*h - 16 = 0. Let i(g) = -6*g**3 + 6*g**2 + 19*g. Let c(q) = -2*q**3 + 2*q**2 + 6*q. Let u(d) = a*i(d) + 7*c(d). Factor u(k).\nAnswer: -2*k*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(-15)\/36*(-11)\/((-44)\/8).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4892873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1144*h + 590*h = 623*h - 1381*h - 264152 for h.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -2817*o - 634*o + 102 - 102 in the form m*o + f and give m.\nAnswer: -3451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12067 and 231?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 3\/181  (c) 61\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -35*j. Let z(w) = -7*w**2 - 3*w. Let t(o) = -14*o**2 - 7*o. Let d(s) = 3*t(s) - 7*z(s). Calculate d(x(a)).\nAnswer: 8575*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1683 and 11922933.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 50\/693 and 31\/90.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*b + b + 2*p + 2, -4*b + 28 = 5*p. What are the prime factors of 83 - (0 + (0 - b))?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -43 (base 8) in base 3?\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/((d**(-44)*d)\/d))\/(d**(-26)\/d*d)*(d*d\/((d\/(d\/(d*d**(-23))*d*d))\/d))\/d**31 assuming d is positive.\nAnswer: d**67","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 228.08 at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 842 is divided by 57?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 11 + 1. What is the common denominator of (5\/210)\/((-1)\/o) and 19\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (9*y**2 - 5*y**2 + 3*y**2)*(10*y - 10 + 10)*(-1 + 1 - 2) as z + h*y**2 + p*y**3 + o*y and give p.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 71.346 + -70.346. Let a = 1.1 - -3.9. What is the nearest to r in -2, -50, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/2376 and -43\/4800.\nAnswer: 475200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**2\/9 - 3014*q\/3 + 79716.\nAnswer: -2*(q - 78)*(q + 4599)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from khnaskgkhnnk. Give prob of sequence nhss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 540740 divided by 5.\nAnswer: 108148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 52850 - 25910. What are the prime factors of j?\nAnswer: 2, 3, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 91 by 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1220 divided by 244\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 497 = 266*u - 2747 - 214 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**4 - v**3 + v**2 + v. Let b(j) = -50*j**4 + 2*j**3 - 2*j**2 - 2*j + 221. Let o(y) = b(y) + 2*q(y). What is the derivative of o(s) wrt s?\nAnswer: -192*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 + 11. Let u = t - 8. Let h be (-5 - (-7)\/((-147)\/(-117))) + 85\/35. Which is the third biggest value?  (a) u  (b) h  (c) -1  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: 18206 (base 12) to base 9\nAnswer: 52726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00198247705 to 6 dps.\nAnswer: -0.001982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 122144 - 28703944\/235. Let z = 2\/47 + h. What is the closest to z in -0.2, 2\/5, 3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes before 4:47 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*n = -460 + 486 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + -5. Let p = 57 - 68. Let y = p - m. What is the nearest to 0.4 in 0, -3, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2284 - 13*c**2 + 16*c**2 + 2266 - 16*c + c - 13*c in the form o + v*c + w*c**2 and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 18, -11, 131 in ascending order.\nAnswer: -11, 18, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k*k**(-10\/3)*k)\/(k\/((k\/k**(-11))\/k)))**(-31))**(4\/3) assuming k is positive.\nAnswer: k**(-3596\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12006951, 24013896, 36020841, 48027786?\nAnswer: 60034731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*b - 6*b + 11*b + (-4 + 4 + b)*(-1 + 2 + 20) + 0*b - 2*b + 3*b.\nAnswer: 32*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.3 and -1.8155.\nAnswer: 2.36015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2\/3 + 58*o + 2523.\nAnswer: (o + 87)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 + 124*c**2 - 151*c - 4480. Determine x(-125).\nAnswer: -1230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.69746 millilitres to litres.\nAnswer: 0.00169746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the first derivative of h**4\/24 - 7*h**3\/18 - h**2\/12 + 7*h\/6 + 60. Determine i, given that k(i) = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -10*s + 35. Let q be j(4). Let t(p) = -p**2 + 7*p - 6. Let h be t(5). Suppose -h*w - 1 = 3*c, 5*c - 4*w = -0*c + 9. Put q, 1\/3, c in ascending order.\nAnswer: q, 1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 + 4. Suppose -p*k = -0*k, -95 = -5*c - k. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19 - 19 - 2*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 1 o when three letters picked without replacement from oeeob.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3726990 divided by 9?\nAnswer: -414110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1954 * 1\nAnswer: 1954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 18 + 67 = -j, -l - 2 = 0. Let k = j + 98. Suppose 4 = m - k. Calculate the remainder when m is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u = -a + 4, -2*a - 3*u + 103 - 95 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-69*j + 27*j - 35*j)*(-103 + 17*j + 103)*(-3 + 3 + j**2).\nAnswer: -1309*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - (-27)\/21)*102\/(-1292)*-57?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*t**3 - 24*t + 7*t**3 - 6*t**3.\nAnswer: t**3 - 24*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -2*j + 7. Let n(c) = -c + 2. Let x(l) = -7*n(l) + 2*y(l). Let d(k) be the third derivative of -5*k**4\/24 + 29*k**2. What is d(x(w))?\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*t + 4*t + 0*t)*(3 - 7 + 1) + t - t - t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**3 - 5*m**2 - 2*m - 5. Let a = 8 - 4. What is the lowest common multiple of (a\/10)\/((-4)\/(-60)) and r(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 0 - 3) + 5 + -16 + 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 - 11*b**2 + 84*b - 1295. Give u(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -225 - -179 - ((-8 - -8) + 6 + -9)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 4*u - 6. Let d be o(7). Let r be (3 + d)*((-432)\/(-10))\/2. Is 17 a factor of 6\/3 - r\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-3)\/((-30)\/(-20)) - (1 + -169) is divided by 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q**2 + 0*q**2 + 2*q**2 - 2*q**2 + 2*q**2 - q**2 + (8*q - q - 3*q)*(q - 3*q + 0*q))*(33*q**2 + 7*q**2 - 2*q**2).\nAnswer: -380*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - (3 - 6)) + 1. Suppose -o - 4*g + 13 = -3, 19 = d*o + g. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 46233 and 1452?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 3*y - 3. Let v be ((-2)\/(-4))\/(1\/12). Suppose 3*c - 15 = v*c. Sort c, y, 2 in decreasing order.\nAnswer: y, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 101 + (1 - (3 + -2)). Suppose 11*y - 59 = -15. Suppose 3*d - y*s = z, 2*d - d - 5*s = 30. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4*(-2 + -1 + 2). Let g be (-1)\/7*(1 - d). Let i = -495.2 - -495. Which is the closest to 0?  (a) 0.3  (b) i  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(11) + 0 + -2 - ((sqrt(891) - 2*sqrt(891)) + sqrt(11))) + -5)**2.\nAnswer: -126*sqrt(11) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 103 + -63. Calculate the remainder when d is divided by ((-429)\/65)\/(72\/30 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 34*k**4 + 190*k?\nAnswer: 408*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 65 (base 13) to base 11\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1460529397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**2 + 4*m. Let n be p(3). Let f be 3 + (6 - 1)*3\/n. Solve -3*r + r - f = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 30 - 32. Suppose 5*p = 5*q - 125, 42 = 3*q - 4*p - 34. Suppose 4*y = -4*m - q, -y + 11 = -2*y + 4*m. Sort -3, c, 0, y in ascending order.\nAnswer: y, -3, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the first derivative of r**3\/18 + 5*r**2\/4 + 25*r\/3 - 55. Factor v(i).\nAnswer: (i + 5)*(i + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*i + 6*i + 1 + 10*i + 3.\nAnswer: 22*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 43812773 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: Suppose k**4 + 4131*k**3 - 24885*k**2 - 260739*k - 446796 = 0. Calculate k.\nAnswer: -4137, -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 1 = 2*l, 9*f - 4 = -3*l + 8*f. Put -3, l, 9, -11 in increasing order.\nAnswer: -11, -3, l, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 5*l - 17 - 2, 46 = -4*c - 2*l. Let o = c - 22. Let f = o + 34. Solve -1 = y + a - 0, f = -5*y - a - 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in -437, -2, -9, 2\/7?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2217152.94 rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 88754185, 88754184, 88754183?\n\"Answer: -b + 88754186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(11) - sqrt(33)\/sqrt(3))*4 - sqrt(22)\/(sqrt(6)\/sqrt(3) + sqrt(2) + sqrt(2))) + 4.\nAnswer: -sqrt(11)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 54587747?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let q = 1441 - 1677. Which is smaller: -237 or q?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4831 from 0.1.\nAnswer: -4830.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l + 14. Let g be d(-9). Suppose 3 = -z + g. Let x = 7 - z. Solve -3*b = -2*h - 11, -x*b + 3 + 10 = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.1 less than 457?\nAnswer: 451.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - 4 - -5) + -5 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -298*p**2 + 1. Let g(w) = 7*w**2 - 19. Give g(u(x)).\nAnswer: 621628*x**4 - 4172*x**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(9)\/sqrt(3) + 3 - (sqrt(363) + 0)).\nAnswer: -10*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(238)\/(sqrt(7) - sqrt(567)*-6))\/(((sqrt(162) - 4*sqrt(162) - sqrt(162)) + sqrt(162))*6).\nAnswer: -sqrt(17)\/8910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -2*u**2 + u - 9. Let g be n(-4). Let w be 2613\/g + 2\/3. Let h = 57 + w. Which is greater: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1008\/(-54))\/(-14) + (6\/(-18) - 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q**5\/4 - 369*q**4\/4 + 723*q**3\/4 + 369*q**2\/4 - 363*q\/2 = 0.\nAnswer: -1, 0, 1, 2, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5.8 + -5. Let q = s + 0.2. Which is the nearest to q?  (a) 4  (b) 0.2  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 14) to base 8\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1183614 divided by 11\nAnswer: 1183614\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j**5\/6 - 46*j**4 + 821*j**3\/6 - 91*j**2 = 0. What is j?\nAnswer: 0, 1, 2, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 7*n - 6 = 0. Solve -3*d + 0*d + 9 = -3*c, n*c + 6 = -3*d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/21 - (2\/(-7) - 3). Solve -3 = o*y - 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2.06, 0.343, -0.0666, 0.6, 5?\nAnswer: 2.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4552*j - 8912*j + 4358*j - 1254*j**2.\nAnswer: -1254*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 10*o**2 + 13*o + 10. Let s be d(-2). Suppose 0*n = -2*n + 48. What is the highest common factor of n and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1, -4, 91, 3, -343 in descending order.\nAnswer: 91, 3, 2, -1, -4, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -111 - 21210?\nAnswer: -22021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 62286403 < 62286393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1 - -3)\/((-2)\/(-76)). Suppose -5*z - 15 = 0, 3*z + 17 + a = -g. Let k = -67 - g. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 5*z + 3*x = -9, 0 = 2*z - 3*x - 3. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 46366554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1143 or -1145?\nAnswer: -1143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 395.5987 millilitres?\nAnswer: 0.3955987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of 0*j**2 - 55 + 9\/5*j**5 - 179*j + 0*j**4 + 0*j**3. Differentiate h(q) with respect to q.\nAnswer: 36*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -101 + 42.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 20 = -5*m + 6, 0 = -3*x + 3. Let f = 5 + -2. Let r = 3 - f. Solve m*i - 14 - 6 = r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -83 - -53. Suppose 14*g - 10*g - 6 = -y, 0 = 3*y + 6*g - 12. Which is bigger: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (13 - 9 - 2 - 16*w**2 + (3*w - 4*w + 3*w)*(-4*w - 12 + 12))*(-w**2 - 5*w**2 + 5*w**2) in the form p + x*w + c*w**4 + a*w**3 + b*w**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -3*r + 5, -4*y + 0*r = r - 11. Suppose 12 = -y*c - 5*i, 0 = -3*c - 5*i - 7 - 1. Suppose -q + 21 = c. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -170781*a**4 + 90096*a**2?\nAnswer: -4098744*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 124.64 and -2.\nAnswer: -249.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 186 is divided by 64?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 28741 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*n**3 + 596839 - 596839 + 28*n**3 + 28*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4\/26 - (-6823)\/13 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11\/(-2)*132\/121.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 8, t: 3}. Give prob of sequence tptp.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**2 - 11*r + 5. Let o be h(11). Let f = -3 + o. Let c = 22 - 17. Sort -5, f, c in decreasing order.\nAnswer: c, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*r - 19*t = 45*r - 22*t + 9, -4*r - 4 = -8*t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2\/2 + 1767*j\/2 + 1773.\nAnswer: -3*(j - 591)*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (2 - -1) - (-4 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 13702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (31 + 65 + 142)*(-3 - 1 + 2)*(-6*v + 0*v - v) in the form q + d*v and give d.\nAnswer: 3332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*n - 1874 + 194 = 0. Let -8*d**2 - 25*d**2 + 30*d + 7*d**3 - n*d = 0. What is d?\nAnswer: -2\/7, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 424\/13*w - 46\/13*w**3 + 2\/13*w**4 + 24\/13*w**2 + 352\/13 = 0. Calculate w.\nAnswer: -2, -1, 4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45 - 155 = -22*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95 = -8*d - 79. Sort 40, d, 0, 5 in increasing order.\nAnswer: 0, d, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 13352055 + 5?\nAnswer: 13352104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 1\/19, 2450 in ascending order.\nAnswer: 1\/19, 0.3, 2450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*o = 18 - 7. Let g(z) = -o - 7*z + z - 3*z**2 + 16*z**2 - z**3. Is g(5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23647 + 0.5?\nAnswer: 23647.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/(a*(a**(-5)\/a)\/a*a))\/a)\/(a\/((a*a\/(a*(a**(-6)\/a)\/a*a))\/a)*a))**(-6\/13)*((a**(2\/7)\/a)\/a)**(9\/4)*(a**(-1))**(-14) assuming a is positive.\nAnswer: a**(503\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*r + r + 0*r - 2)*(-2088*r**3 - 5065*r**3 - 1807*r**3) to the form q*r + p*r**2 + s*r**3 + f*r**4 + w and give s.\nAnswer: 17920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 13831400 to the power of 1\/3, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the first derivative of a**6\/90 - a**5\/30 - a**4\/8 - 2*a**3\/3 + 5. Let c(q) be the third derivative of b(q). What are the prime factors of c(-2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 894 + -844. Calculate the greatest common factor of b and 1475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -22*13*34\/(-2431)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*-1*(4*(-1 + 3*(sqrt(1216) + 1)) + ((sqrt(1216) - ((-1 + sqrt(1216) + -4 - sqrt(1216)) + sqrt(1216))) + sqrt(1216) - sqrt(1216))*5*-3)**2.\nAnswer: -1077558 + 77184*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 67 + -100. Let d = h - -61. Suppose -95 = -3*y + d. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*m**2 - 8 + m + 8 to y + n*m**2 + q*m and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 163 divide 197229503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 111*s - 2*s**2 + s**4 - 1 - 46*s - 23*s**3 - 65*s as k + p*s**2 + z*s**3 + n*s + m*s**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 - 61?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the third derivative of -n**6\/120 - n**5\/15 + n**4\/8 - n**3\/3 + 2*n**2. Let s = 221 + -226. Let a be g(s). Is 6 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 196, 371, 660, 1063, 1580, 2211?\n\"Answer: 57*h**2 + 4*h + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 86*i - 82*i - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 12) in base 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*u + 91 - 322. Calculate the least common multiple of u and 91 + 2\/(6 - (-13)\/(-2)).\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (-3 - ((-2 - 9) + -21 + 24))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 366.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -4*y + 19464, 147*v = 152*v - 2*y - 48612. Does 44 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the first derivative of r**4\/4 - 3*r**3 + 5*r**2 - 12*r + 3. Let v = -21 + 29. Let w be z(v). Solve 3*k = 5*b - 28, -9 = -4*b + w*k + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 less than 538.571152?\nAnswer: 542.571152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the second derivative of 0*x**6 + 0*x**5 + 0*x**4 - 5\/2*x**3 + 41*x - 1\/7*x**7 + 0*x**2 + 0. What is the second derivative of t(r) wrt r?\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -4*p**2 - 204*p - 126. Calculate the remainder when 201 is divided by t(-50).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/(-21) + (-1)\/14. Let d = 11\/7 + n. Are d and 1.25 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 480 and 19110?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 38.42043 litres?\nAnswer: 38420.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34 + -4 + -379 + 350.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4330 + 132?\nAnswer: -4143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 72 by 1412.\nAnswer: 18\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -56276.0999904 + 56276. Let p = 0.1 + c. What is p rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vav when three letters picked without replacement from vva?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7857058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from drdkttttdddtwdtrr. What is prob of sequence kttr?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-56)\/(-273)*(-6)\/8.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -8, -5*w - 2 = -7*w + 4*z. Calculate the remainder when 66 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -310 + 340.5. Let k = l + -27.3. Put 1, k, 4 in increasing order.\nAnswer: 1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78020 is divided by 77621.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 32*r - 827. Calculate z(26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -5*v - 1 + 186, 4*v = 4*t - 188. What is the highest common factor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18169791 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -41*i + 27 + 42*i - 18*i**4 - 8 wrt i.\nAnswer: -216*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 4*m - 24 + 4 = 0, 16 = 3*j + 2*m. Let g be 2\/3 - ((-50)\/15 + j). Let a = 26\/11 + -270\/77. Is a at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = 3*c + 34. Let i = -25 + c. Calculate the remainder when (i\/(-27))\/(2\/66) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 98 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57497 is divided by 4354?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 13 + 5. Let s = m + 30. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -269 - -274. Solve -7 = d - 6*d - 2*n, -2*n - 23 = -m*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, 3, -68, -3 in descending order.\nAnswer: 4, 3, 0, -3, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 24187\/11725 + (-6)\/(-75). Factor -9\/7*s**2 + 3\/7*s**4 + 3\/7*s**3 - 6\/7 - v*s.\nAnswer: 3*(s - 2)*(s + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 194 and 291.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -90424.065 rounded to the nearest one hundred?\nAnswer: -90400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 10*a**3 - 2*a**2 - 9*a - 7. Let g(i) = i**3 + 55*i**2 + 45*i - 487. Let c be g(-54). What is r(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 74\/50721 and 59\/3828.\nAnswer: 202884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -6 + (1 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from myz. What is prob of sequence ym?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -12548, -25201, -37876, -50573, -63292, -76033?\n\"Answer: -11*m**2 - 12620*m + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 77 + -69. Suppose 9*m - 119 = p*m. Suppose m = -4*d + 879. Is 19 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 72877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 64 * -4.67\nAnswer: -298.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.00103364 - 0.001. What is y rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.9 in 31244\/5, 4\/5, 0.2, -2\/7, 0, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 28\/10 - (-19)\/95. Suppose -42667 = -4*n - t*c, 5*n - 34775 - 18565 = -5*c. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -86 - -86.04466. Round p to 3 dps.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 - 10*m - 15. Let z be t(11). Let l = -148 + 145. Put -11, z, l, 5 in descending order.\nAnswer: 5, l, z, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = 7*b - 9*b. Let s = 29 - b. Is 83*(-1 - (-9 + s)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 142991 by 6.\nAnswer: 142991\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.46 - -1.189. Round h to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f - 2 = -9*f. Let d be 19\/4 - f\/(-8). Suppose 5*x - 20 = -i, i = 3*i + d*x - 25. What is the remainder when 18 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -312*f**3 + 58*f**4 - 10*f**4 + 27*f**4 + 48*f - 312*f**2 + 48 + 75*f**5 = 0.\nAnswer: -2, -1, -2\/5, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -g**5\/4 + 1041*g**4\/4 - 18625*g**3\/2 + 25601*g**2 + 1038*g - 34136 = 0?\nAnswer: -1, 2, 34, 1004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 9*m**2\/4 + 2669555*m\/4 + 296617\/2 = 0.\nAnswer: -296617, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 384 and 203712.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(152) + (sqrt(152)*2 + sqrt(152))*-2 - sqrt(152)) + (sqrt(152)*1 + sqrt(152) + sqrt(152))*3)\/(sqrt(72)*-5 + (sqrt(128)\/sqrt(4))\/sqrt(4)).\nAnswer: -3*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -2*h. Let s(m) be the second derivative of 5*m**3\/6 + 2*m**2 - 3*m. Let r(c) = -c - 1. Let g(p) = -4*r(p) - s(p). Calculate z(g(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 695539286?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1216bb + -7?\nAnswer: 1216b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9\/21 - 1491\/49. Let h = 28 + g. What is the closest to -1\/6 in 4, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10.59999659 + -10.6. Round s to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5\/(-40)*10*-232. What are the prime factors of (2 + 154\/(-35))\/((-3)\/o)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 194374 by 2.\nAnswer: 97187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r + 4*r + 3*r - 4*r - 1. Let n be 2\/(-4*1\/(-2)). Let s be a(n). Solve u + s*u = -20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 19279 or 20816?\nAnswer: 20816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -467, -601, -735?\nAnswer: -869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1058, -2113, -3166, -4217?\n\"Answer: y**2 - 1058*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 30120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -3248 divided by -232\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -439?  (a) 92  (b) -0.4  (c) -2  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - -2. Let z be (6*o)\/(-3 + 2). Suppose -5*p = -3*p - z. Sort -4, p, -3 in descending order.\nAnswer: p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 166, -1, 3, -2 in descending order.\nAnswer: 166, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -278 - -3475. Suppose -6*h = -o - 5245. Find the third derivative of -1407*t**4 + 6*t**6 + h*t**4 + 8*t**2 wrt t.\nAnswer: 720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14747 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -101 - -142. What is the remainder when (-144)\/(-96) - (-314)\/4 is divided by t?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41203673 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.367741 and 0.05?\nAnswer: 0.01838705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -3*(sqrt(51)\/sqrt(3) + -3) + sqrt(34)\/sqrt(2)*-4 + (sqrt(17) - 2*sqrt(272)).\nAnswer: -14*sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the third derivative of 5*b**4\/12 + 577*b**3\/6 + 120*b**2. Determine v(-58).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 1585199.43 seconds?\nAnswer: 18.347215625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-76)\/48 - (-6)\/24. Let m = 8.683 - 8.6. Let t = m + 0.017. What is the closest to t in 0.3, y, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 + -1001011111?\nAnswer: -1001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 87836 to the power of 1\/2, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 5*v + 16 = 0, 0 = 37*v - 41*v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:49 AM and 10:20 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 19, 81, 167, 265, 363?\n\"Answer: -2*o**3 + 24*o**2 + 4*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 143 and 1176331.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 718277 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -36.1462?\nAnswer: -36.1462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -2*v**3 - 4*v**2 + v - 1. Let r(t) = 951*t**3 + 12*t**2 - 3*t - 457. Let o(x) = 3*d(x) + r(x). What is the first derivative of o(n) wrt n?\nAnswer: 2835*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -20656, -20693, -20730, -20767, -20804, -20841?\n\"Answer: -37*w - 20619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes after 10:06 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 155*n + 2200 + 8166 = -162*n + 539 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2210 and 2563080.\nAnswer: 43572360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, 0.03, 3\/200 in decreasing order.\nAnswer: 4, 0.03, 3\/200, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 33 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from xxiixxiixiiix?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t**2. Let a(r) = r + 6105537. What is a(d(k))?\nAnswer: 2*k**2 + 6105537","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9516 is divided by 67.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*s = -32 - 58 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -6*k - 6. Let o(f) = -9*f - 8. Let x(b) = -8*b**3 + 2*b**2 - 2*b + 1. Let p be x(1). Let q(g) = p*h(g) + 5*o(g). Let a(i) = 2*i**2. What is q(a(n))?\nAnswer: -6*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -892287, -892289, -892291, -892293, -892295, -892297?\n\"Answer: -2*b - 892285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5782\/9 - -6412220\/9981. Let o = p + -2188\/16635. What is the smallest value in o, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 373*y - 646*y + 3549 = 0 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.777002 to three decimal places.\nAnswer: 1.777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/15 in 0.3, 3, 11, 27.98, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 3*n + 0 - 3 = 0, 4*t + 5*n + 3 = 0. What is the second derivative of 2 - t + 2*f**2 - f + 1 wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -228, -229, -230, -231, -232?\n\"Answer: -c - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -130 = -5*r - 5*v, 3*r + 4*v + 0*v - 83 = 0. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 543.874 + -544. Which is smaller: 0.2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 4*m + 5*u, -2 - 4 = -4*m + u. Suppose 0 = y + m, 3*a + 4 = -y + 47. Suppose 5*g - a = 0, 5*g = -2*k - 62 + 281. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 + 11*l**2 - 11*l + 16. Let i be f(-12). Suppose -29 = i*h - 5*h. Suppose 4*s + h - 13 = 0. Sort 7, 5, s in ascending order.\nAnswer: s, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 34 - -1. Suppose 5*a - 5 = -3*t + 105, 25 = 5*t. Let d = r - a. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11220000211 (base 3) to base 10.\nAnswer: 96250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -31*d**3 - 24*d**2 + 19*d**3 + 8*d + 2*d**4 + 32 + 14*d**3 = 0?\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2164216*v**2 - 6*v + 49702604 wrt v?\nAnswer: 4328432*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -5, 32, 165, 454, 959, 1740?\n\"Answer: 10*x**3 - 12*x**2 + 3*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 187*h**2*p**2 + 4*h**2*p + 41*h**2 + 332*h*p - 4*h - 254105*p**4 - 3*p wrt p?\nAnswer: 374*h**2 - 3049260*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + b9c?\nAnswer: ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8766144 by -267.\nAnswer: 32832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 611 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence izi when three letters picked without replacement from {o: 2, i: 5, v: 1, z: 8}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 + 8*v**2 - 6*v - 3. Let w(g) = g**3 + 4*g**2 - 1. Let y be w(-2). Calculate k(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 2.762796cm?\nAnswer: 27.62796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 462936029 to the nearest integer?\nAnswer: 21516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000247432 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 - 192. Round f to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, 0.4, 2\/11 in increasing order.\nAnswer: -4, 2\/11, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) -6  (c) -10  (d) 30  (e) 2.8  (f) -0.07  (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32788249 divided by -6.\nAnswer: -32788249\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -30032 + 30034. Solve -a*p = -35 + 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 243294876 divided by 396\nAnswer: 614381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 37*c**3 - 119067*c**2 + 95791815*c - 2588881 = 0.\nAnswer: 1\/37, 1609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00009475 rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17561 + 17561. Let a(s) be the second derivative of -21*s + d*s**5 + 0*s**3 + 0 + 0*s**4 + 0*s**2 - 1\/21*s**7 + 1\/5*s**6. Factor a(k).\nAnswer: -2*k**4*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.46 - 3.46. Let h = -4.75 + 5.25. What is the fourth smallest value in -1\/14, s, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 10) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -200200201 + 11012?\nAnswer: -200112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -68 from -131.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(1 + -5 + sqrt(2736)*1 + -2 - ((sqrt(2736) - (2*sqrt(2736) + 0)) + -2)**2*6).\nAnswer: 1104*sqrt(19) + 65784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * -1269946\nAnswer: 253989.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 9 + -9 + -16 + 31 - 15 - (1 + 57)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 56420\/18200*6*(-5)\/(-465)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/10 - 768\/(-120)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5883, 11730, 17527, 23274, 28971, 34618?\nAnswer: 40215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**3 - 8*w**2 - 12*w - 9. Let u be k(-8). Let s = -72 + u. Is 14 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + 133510520?\nAnswer: 133510523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -301931 - -449256. Let b = y + -293329. Let c be 2\/5 - b\/(-10). What is c rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -15.1?  (a) -3  (b) -0.06  (c) -1\/412  (d) -8  (e) -2  (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5 + 112\/(-20) + 66\/10. Suppose -225 = -q*s - 291. Let r = 2 - 12. Is r < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -2*t**2 + 17*t + 9. Let v be c(9). Let a = 447 + v. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 136921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011 - -11000011?\nAnswer: 10111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**3 - 88*v**2 - 1260*v + 4464.\nAnswer: 4*(v - 31)*(v - 3)*(v + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13443895, -13443915, -13443935, -13443955, -13443975, -13443995?\nAnswer: -13444015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 225*m - 222. What is t(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54517 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1168541, -2337079, -3505615, -4674149, -5842681, -7011211?\nAnswer: -8179739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + 2*s - 14. Let m(y) = y**3 + 4*y**2 + y + 1. Let z be m(-2). Calculate the highest common factor of z and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -45 - (2 - 4) - (-101 + 51 + 48)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -2*m + 2898 + 5286, 0 = 4*q + m + 16358. Round q to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -34 in -12\/18553, 4, -1\/5, 5, 0.4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.274 + -24.326. Let r = 26 + i. Let g = 1.5 - r. What is the closest to 1 in g, -0.4, -2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 713 and 589.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6*a*l*o**2 - 15*a*l*o + 63*a*o + 2*l*o**2 - 351*l*o + 3*o**2 wrt a.\nAnswer: 6*l*o**2 - 15*l*o + 63*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 151586 greater than 151646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/4*((-2)\/6)\/((-121)\/(-2904)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the third derivative of v**6\/40 - v**4\/12 - 3*v**3\/2 - v**2. Let k be b(5). Is 2\/5 - k\/(-10) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the third derivative of -1\/2016*v**8 + 52*v**2 - 1\/720*v**6 - 1\/420*v**7 + 1\/120*v**5 + 0*v**3 + 0 + 1\/72*v**4 + 0*v. Suppose s(b) = 0. Calculate b.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of v**2\/2 + 9*v + 1. Let r(x) be the first derivative of x**2\/2 - 2*x - 3. Let j be r(-3). Calculate m(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 27 = w. Let t = w - -59. What is the least common multiple of t and 22?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88 is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:46 AM and 1:08 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35.62589ug to milligrams.\nAnswer: 0.03562589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8\/(-20) + (-4)\/(-10). Suppose 5*z + 2 - 27 = w, 5*z - 27 = 2*i. Let j = 4 + i. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the first derivative of -2*z**3\/3 - 10. Determine u, given that d(u) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 246179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 457780510 rounded to the nearest 1000000?\nAnswer: 458000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -2*l**5 - 1632*l**4 - 93192*l**3 - 1888544*l**2 - 14948736*l - 35126784 = 0.\nAnswer: -756, -22, -12, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j**2 + j**2 + 2*j**4 + 5*j**2 + 42623*j**4 - 43003*j**4 - 5*j**2 - j**4 - j**4 - 2*j**4 + (0 + 0 + 2)*(3*j - j**4 - 3*j) - 2*j**4 + 4*j**4 - 4*j**4.\nAnswer: -386*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -0*d - 2*d - 4*k, 0 = -4*d - 4*k + 8. Let z be -2*(-7 + (2 - d)). Suppose 5*p = 7 + z. Solve 4*f - 20 = j, -p*f - f + 20 = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 63965 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 115*k**3 + k**4 + 26*k**3 + 39*k - 37*k + 2 + k - 21*k**3 - k**2 to l + h*k**4 + b*k**3 + m*k**2 + c*k and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1623, -2143, -2663, -3183, -3703, -4223?\n\"Answer: -520*p - 1103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6, 26, 80, 156, 254?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 217622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f + 0*f - 4*f)*(99*f**4 - 183*f**4 - 261*f**4).\nAnswer: 690*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 27*f**4*w**3 - 655*f**3*w**3 - 45*w**3 + 129*w**2 + 2 wrt f.\nAnswer: 108*f**3*w**3 - 1965*f**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -5*r - 59, 576*z = 581*z + 4*r + 81. Which is the third smallest value?  (a) z  (b) -3  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 110419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1502292287\/176 + 8535728. Let w = u + 295\/11. Calculate the common denominator of (38\/20)\/(1\/3) and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2668485?\nAnswer: 3, 5, 41, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 236317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1974514 - 5?\nAnswer: -1974519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 54400821*f*h - 24427970*f wrt h?\nAnswer: 54400821*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 + 4. Let z be 1\/(m\/(-14))*-2. Let d = 0.106075 - -0.893925. Which is the closest to z?  (a) d  (b) -1\/6  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = -2*j + 5*g, -85*j + 80*j - 8*g = 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 5\/51  (b) 2\/9  (c) -274  (d) -3\/52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1400424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) -0.4  (b) 0.5  (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 219665?\nAnswer: 5, 43933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 25437 - 254259\/10. Find the common denominator of u and -17\/780.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -29094, -58195, -87308, -116439, -145594?\nAnswer: -174779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -232 + -13010?\nAnswer: -13242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 18565878*j**2 - 12408*j + 210 wrt j?\nAnswer: 37131756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 + 295*r - 295*r - 9*r**3.\nAnswer: -9*r**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.128 + 0.108. Let o = 24 - 8. Let w = 15.5 - o. Put w, d, 0.5 in decreasing order.\nAnswer: 0.5, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 224333438789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 201 + 79 - 48 = 116*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10 and ((-11)\/(-2))\/((-14)\/(-168)).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -21*g + 14. Let m(z) = 12*z - 1. Give 14*m(l) + w(l).\nAnswer: 147*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 210*d**2 + 28*d + 10. Let w(j) = -349*j**2 - 46*j - 16. Determine -18*r(y) - 11*w(y).\nAnswer: 59*y**2 + 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-4\/3)\/(w*w**7)*((w\/(w\/(w\/(w\/w**(-1\/3)))*w))\/w)**(-6))\/(w*w**(-2\/3)*w**9)**(-9\/7) assuming w is positive.\nAnswer: w**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the third derivative of 11\/3*p**3 - 23*p**2 - 1\/120*p**5 + 0*p**4 + 0*p + 0 - 1\/1080*p**6. Let v(y) be the first derivative of c(y). Factor v(k).\nAnswer: -k*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 619 - -266. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z + 30. Let l(g) = -72*g**2 - g - 14. Determine l(i(w)).\nAnswer: -72*w**2 + 4321*w - 64844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -121 + 121 + (27 - 1) + -9.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 10 + 6)*(0*r + 0*r - 2*r) + r + r + 0*r - 2*r + 0*r + r to the form a*r + k and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2102.\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 2  (b) -3\/7  (c) 9\/5  (d) -5  (e) 0.4  (f) 0.3  (g) -4\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 + (-15)\/10 + 26\/4. Let u be 16*((-36)\/n - -5). Solve -4*q - 24 + u = b, 2*q + 8 = -3*b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 48, 32, -18, -120, -292, -552, -918, -1408?\nAnswer: -2040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmexeeemmmmmymm. Give prob of picking 1 e and 1 m.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -v + 57 + 7*v**2 - 2*v + 16*v**2 - 14*v**2 wrt v.\nAnswer: 18*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -q, -4*p = 5*q + p - 10. Let w(k) = 9 + 6*k**2 + 0*k**3 + 5*k + k**q - 3*k. Suppose l - 26 = -60 + 28. Give w(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1114773697?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1549 a factor of 1025665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -86 - -120. Suppose q = 5*a - 116. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/7*(0 - 7). What is the units digit of (-16)\/r*(-6)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w and 1 m when four letters picked without replacement from wwmwwmwmmwwwwmnwww.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y - 12. Let c be v(12). Let m = 61 + -56. Solve -b - m = -c*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes before 12:26 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -25*(24\/(-15) - -1). Suppose 0 = 5*y - c, -y + 11 = -6*n + 2*n. Is (n\/1)\/2 + 288 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**2 - 3132*z + 175279. What is o(57)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20852 - 5546535\/266. Let n = 3\/38 - s. Which is the nearest to -3?  (a) n  (b) 1\/5  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 - (0 - -1 - 3). Differentiate 2 + n*r - 2*r + r - 4*r wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 358 divide 44106099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 4*g = 46*l + 240, -2*l - 18 - 20 = l - 5*g for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 12, -1, 0.03, 0.2, -0.404?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 4399.829 kilometers?\nAnswer: 4399829000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 3 + -1 + (-5 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 4 = 2*s, 5*s + 54 - 20 = c for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*-3976.\nAnswer: -397.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3450299?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -4*i**2 + 41*i - 240. Let m(s) = 10*s**2 - 104*s + 600. Let p(q) = 12*d(q) + 5*m(q). Let j be p(6). Solve -j = -11*b + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/54 and -131\/18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -760517\/388570 - -3\/38857. Find the common denominator of 79\/56 and f.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1*14)\/(12\/30*5). Suppose 5*x - 3 = i. Suppose 5*g = -x*z - 145, -4*g + 3 = -g. Round z to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*d + 13*d + 15*d - 44*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*k**2 - k**2 - 3*k**2 - 2*k)*(4*k - 4*k + k) as m + f*k + o*k**3 + g*k**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3564346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 67415\/28 - 2408. Find the common denominator of f and ((-5)\/(-30))\/((-2)\/(-6)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9*((-1)\/1)\/3*(-46)\/(-138).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*0.061.\nAnswer: -0.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3.8 in 7\/3, -2\/3, -41?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 17, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -157 - -262. Let z = s - 103. Let m = -1079\/10 - -108. Which is the nearest to z?  (a) 1\/4  (b) m  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyppfyyyfypip. What is prob of picking 2 f and 1 i?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let 7*t**4\/3 + 58*t**3\/3 + 100*t**2\/3 + 8*t = 0. What is t?\nAnswer: -6, -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.58 minus 562868599?\nAnswer: -562868600.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 236965 and 415.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.3+36.599546\nAnswer: 36.299546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.030884 rounded to three decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 3*m = -15, 5*i - 1 = -3*m - 2. Let q(f) = f**3 + 3*f**2 + 60*f + 261. Let l be q(-4). Sort -3, i, 2, l in descending order.\nAnswer: l, 2, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 8, -u - 262 = -5*u - 5*r. Let p = 75 - u. Let f be (3 + 11482\/6)*p. What is f rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23 (base 14) to base 13\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + s**2 + 90 + 48 - 5.\nAnswer: s**2 + 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-3))\/k*k*k\/(k*k**10*k)*k assuming k is positive.\nAnswer: k**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1184.2 + 1175.1944. Let m = r + 9. Round m to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -4838393*v - 29030352. Give l(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 1 h when three letters picked without replacement from zzhmhmzzzhh.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -3 - (-3 - 16) - 2 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*d - 368 = -15*d. Suppose -59*w + 28*w + 93 = 0. Solve w*l + d - 1 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -22?  (a) -0.5  (b) 3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 3*n. Let h = -33 + 21. Let g(z) = 4 + 6*z - 7 + 3. Let p(f) = 15*f. Let w(l) = h*g(l) + 5*p(l). Determine w(d(q)).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2105, 5995, 11683, 19175, 28477, 39595, 52535, 67303?\nAnswer: 83905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -13*c**3 - 4*c - 210 wrt c.\nAnswer: -39*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 330 = 4*m, -6*m + m + 405 = -r. Does 20 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.101 - 0.265. Let x = b + 3.164. What is the third biggest value in x, 3\/5, 4, -4\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**3 - 2*l**2 - 5*l + 5. Let m be w(2). Is m at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25370295497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 3*z + 11 = z, -18 = -3*h + z. Suppose h*t + 1 = 21. Suppose -4*r + 11072 = 4*u, -3*r = t*u - 3*u - 8302. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1254*h - 2204*h + 2246*h + 3683*h as f*h + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 10894 to the nearest 100.\nAnswer: 10900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 113804 and 28.\nAnswer: 796628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 24\/36*(-4)\/12\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 40  (b) 40\/31  (c) 5  (d) -2  (e) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**0*m*m\/m**(4\/3)*(m\/((m*m**5)\/m))\/m**(-4\/5) assuming m is positive.\nAnswer: m**(-38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -133\/7512 and 42 + -43 - (-176)\/121.\nAnswer: 82632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the second derivative of -o**7\/105 + o**5\/25 - o**3\/15 - 3*o. Solve f(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -684 = -29*w + 65*w - 144 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 105 - 82 + 2304*x - 2303*x as h + v*x and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 343, 12, -3, 11, 5 in increasing order.\nAnswer: -3, 3, 5, 11, 12, 343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/121?  (a) 0.4  (b) -3\/2  (c) 8  (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 904768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3284040778 to the power of 1\/2, to the nearest integer?\nAnswer: 57307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7345*q**2 - 4241*q**2 - 4520*q**2.\nAnswer: -1416*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -33*c*l**3 + 375*c*l**2 + 3*c*l + 2*l**2 wrt l.\nAnswer: -198*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 1)\/(39\/13)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**3 + 3*r**2 - r + 1. Let q be f(-3). Suppose p + 4*p - 25 = 0. Solve -p*y = -q*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.0033 - 39.0033. Let b = 36 + w. Let u = -0.1 - 0.1. Put b, u, 3, 0.5 in ascending order.\nAnswer: b, u, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 841.5544mm in meters?\nAnswer: 0.8415544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence frf when three letters picked without replacement from {r: 4, c: 6, f: 2, x: 6}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**2 - r - 5. Suppose 5*x - 11 = 9. Let k be h(x). Suppose 5*c = 27 - k. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2165629\/155 + 6\/(-10) + (-3)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (6\/5)\/(64\/160). Let u(r) be the second derivative of 0 + 1\/6*r**4 + 1\/6*r**d + 0*r**2 + r. Find the second derivative of u(t) wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.696948 + -113.117348. Let w = d + 94.41. Let u = w - -18. What is u rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -41\/2 - 9\/4. What is the common denominator of j and 2\/40 + 0 + -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -i - 8, 4*t + 12 = 4*i - 9*i. Let a = i + 12. What is the least common multiple of (-4)\/(-10) + (-352)\/(-20) and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2053603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 + k**2 + 4*k + 2. Determine q(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*s + 200 = 80 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 814457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -89 - (-37 + 16 + -3 + -19)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*n - 15*n**3 - 29 + 29.\nAnswer: -15*n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12156 - 12459. Which is smaller: u or 24?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1066697417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7407*v**2 + 44*v - 44*v - 7415*v**2 + 178 to p*v**2 + z + o*v and give z.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5*(-3 - 17\/(-5)). What is the second derivative of -2*s - 6*s**4 + 112*s**x - 112*s**2 wrt s?\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -38, -6827, -1\/11, -2, 0.\nAnswer: -6827, -38, -2, -1\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -2.2, 0.108, -2?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmtttmtmtmmmmmmjm. What is prob of sequence mtm?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5742827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from {f: 2, y: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 3*i - 6, i - 2 + 0 = m. Suppose m = -z - 3*u + 28, -3*z + 2*u + 30 = -10. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 163 + -147. Is -1\/5 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49903 + 477367 = 94*k + 67538. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -126 - (111 + -142 - 95).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 33*f - 38 + 38 + ((4*f - 4*f - 2*f)*(0 + 1 - 9) - 5*f + 2*f + 4*f)*(-1 + 1 + 2) to the form p + x*f and give x.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15913 + 15916. Solve -3*i - 17 = 2*a, 19*i + j*a = 20*i - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 70332070 to the nearest one million.\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -46 + 64. What is the remainder when v is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1844294825 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 453*w - 3449*w + 104121 + 24707 for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 p, and 1 m when three letters picked without replacement from ymylfcp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 805338445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -191 divided by -419358\nAnswer: 191\/419358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -35, -44, -65, -104, -167, -260, -389?\n\"Answer: -y**3 - 2*y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 3\/2  (b) 2\/19  (c) -16194\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5097884 nanograms to grams.\nAnswer: 0.0000000005097884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-4))**(5\/16)\/((a*a**(8\/3)\/a*a)\/a*a**(-3)) assuming a is positive.\nAnswer: a**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 1 + 2)*(180*p**2 + 14*p**2 + 59*p**2)*(p**2 + 2*p**2 - 4*p**2).\nAnswer: 506*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1355*p + 3*k - 31 = -1357*p, -2*p - 7*k + 59 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000141986 to 7 dps.\nAnswer: -0.0000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 834?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**0\/o**(-3))**(1\/3) assuming o is positive.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - -1. Let d(z) = -z. Let g(j) = 3*j - 4. Let s(v) = -4*d(v) - g(v). Let i be s(-9). Put m, i, -3 in ascending order.\nAnswer: i, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 7*b + 38 = -d, -b + d = -10. Suppose 3*m = b*m - 1524. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-26)\/(-5))\/(4\/10). Solve 4 = 3*h + a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (734 - 734 - 63*w)*((0 + 1 - 2)*(3 + 1 - 3) - 2 + 1 + 4 + 3 + 0 - 1).\nAnswer: -252*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.008188403982 to 5 dps.\nAnswer: -0.00819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 8.2*-12.4\nAnswer: -101.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -ccd + 14?\nAnswer: -cb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 54120 - 34?\nAnswer: 54042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-4\/11)\/i)\/(i\/(i**(-28)\/i))*(i**(4\/7)\/i)\/i*(i\/i**(1\/20))\/i assuming i is positive.\nAnswer: i**(-50577\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-11)\/(-4))\/(((-5)\/(-16))\/((-1620)\/648)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 61431\/1015 + -424\/7. Let q = n - 3\/58. Put -3, -2, q in ascending order.\nAnswer: -3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of 75*s - 5\/4*s**4 + 65\/2*s**2 - 5*s**3 + 17. Find k such that n(k) = 0.\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**2 - 13*t - 8. Suppose 3*n + 2*n = -60. Calculate the remainder when f(-10) is divided by n\/(-3)*2\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10997 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/(-4) - ((-54)\/(-12) + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 426042533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 162\/(-63) - (-29 - 7004\/(-238))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 4 + 4)*(13 - 13 - j + 13) in the form v*j + p and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 PM and 7:51 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3280225600 rounded to the nearest 1000000?\nAnswer: -3280000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14381 + 112526 + 254565 + 210483 = -6953*l for l.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, p: 1, b: 9, e: 2}. What is prob of picking 2 v?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - 41 = 17*a, -3 + 8 = -25*a + 20*a for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -0.06, 63, -2453?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1737 - -1724) + (1 - (3 + 23)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 6304.449237 to 1 decimal place.\nAnswer: 6304.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 96 and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 2*k**3 + 9*k**2 + 3*k - 1. Is m(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:13 AM and 3:50 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4 - 15*(-1 + 0). Sort 0, f, 2.\nAnswer: 0, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-44 - 4 + 23)*(-3*u**4 + 3*u**3 + 3*u**4 - u**4).\nAnswer: 25*u**4 - 75*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4712 is divided by 1563.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 + 10. Let t = x - 4. Calculate the least common multiple of 1*3*(-4)\/t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 133088328 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 828 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 29, 2\/7, 4121, 348?\nAnswer: 348","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -758 + 763. Solve -4*q + 21 + f = 2*y, 6 = 2*y - q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -4*w**2 - 3933224*w + 3933228 = 0.\nAnswer: -983307, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 658347 is divided by 8030.\nAnswer: 7917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 40 + -5. Let w = 33 - u. Let x = -25 - -25.1. Which is the nearest to x?  (a) w  (b) -2\/7  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -143, 1, 2, -3\/4, -6\/7, 25?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -193\/6 - -32. Which is smaller: -4\/3 or t?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 1. Let m = -6 + 5. Let w(c) = c - 7. Let i(l) = m*w(l) + d(l). List the prime factors of i(-7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 - 4*r + 5. Let b(m) = 4*m**2 + 13*m - 16. Let u(s) = 2*b(s) + 7*l(s). Calculate u(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 + -1)*(-9 - -5). Suppose 3*s = n - 4, x*s + 8 = 2*n - 6. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1703242835 - -4.529?\nAnswer: -1703242830.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the third derivative of f**5\/60 + f**4\/4 + f**3 - 24*f**2. Suppose b + 12 = -2*m, 2*b + 9 + 7 = -2*m. What is n(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 13  (b) 5  (c) -0.1  (d) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 23 - 19. Let i be (-12)\/((-22)\/o + 4). What is the greatest common factor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 45*s + 9*s + s to the form t*s + g and give t.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 q when three letters picked without replacement from {q: 2, u: 5}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/t**2*t*t**(-4)*(t*t*t**(1\/8))**(-40) assuming t is positive.\nAnswer: t**(-89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 - 5. Let b = 7 - -16. Suppose -3*j = 4*l - 33, 4*j - 67 = -4*l - b. Calculate the remainder when t(5) is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -16 - -7?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -177.9999951 + 178. What is c rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 591774?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -1)*-2 - (22 - 3978\/144)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 27606 - 13502. Does 164 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*k**5\/7 - 36*k**4\/7 + 729*k**3\/7 - 3078*k**2\/7 + 3888*k\/7 = 0. What is k?\nAnswer: -24, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -559034 divided by 14?\nAnswer: -39931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -139, -148, -171, -214, -283, -384, -523, -706?\n\"Answer: -s**3 - s**2 + s - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 249 + -253. Is 20 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/((b\/b**(-17))\/b))\/b)\/b**22*(b**(4\/5)\/b*b)**(-2\/19) assuming b is positive.\nAnswer: b**(-3713\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, 4, 94, 288, 616, 1108, 1794?\nAnswer: 2704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -3*l + 17. Let a = 8 + -7. Suppose 4*i + a = l. Solve -s + i*f - 5 = 0, 2*s + 2*f = f - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 2*a**2 + 1 + (4*a + 0*a - 6*a)*(2*a - 3*a - a) - 1 - 543*a + 551*a - 21*a**2 + 12*a**2 to the form g + c*a + m*a**2 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.2, 1\/20, 61, 3?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105 = -114*h + 113*h. What is the greatest common factor of h and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 7 + -11 - (-7)\/1. Let y(f) = i*f + 3*f + f + 0*f. Let r(s) = -3*s. Let q(d) = 5*r(d) + 2*y(d). Calculate q(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 2 = -c. Let s = -13703831\/161538 + 4\/26923. Let f = -85 - s. What is the nearest to -0.1 in c, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, z: 1, s: 2, o: 1, c: 7, m: 2}. What is prob of sequence mr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 5, b: 4, i: 1, n: 3}. Give prob of sequence nqq.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -27*x**3 + 2*x**2 + 57*x + 185. Calculate the remainder when m(-3) is divided by 191.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27 - 24 - 27)*(2*h**2 + 0 + 0).\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 + 3 - 5)*(4 - 3 - 2) + 4 - 1 - 5 + 3 + 0 - 2 - 1 + 5 - 2 + 0 - 2 + 3)*(3 - 3 - 6*p) + p - 10 - 5*p + 2*p.\nAnswer: -8*p - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1068*d + 2938*d + 1 - 86*d.\nAnswer: 3920*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5)\/(-2) - 3\/6. Suppose 5*r - 3*r = 4. Solve j - r*j + 5 = b*d, -4*d = -2*j - 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -6, -k - 9 = -5*c + 2*k. Let n = c + 2. Suppose 4*s - 8 = 0, z - 2*s - 431 = -n*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**3 - 17*a**2 + 31*a - 16. Let x be n(15). Which is smaller: x or 30?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**3 + 5*b**2 + 7*b - 5. Let k be m(6). Let j be (k\/6)\/1*-4. What is the closest to j in 5, 0.4, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) -2\/5  (c) 0.2  (d) -0.2  (e) 290  (f) 1  (g) 2\/25\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v. Let w(n) = -914644*n**2 + 3. What is w(g(i))?\nAnswer: -914644*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12 + 0 + 0)*(-3*g + 7*g - 2*g).\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -4*o - 3. Let r(w) = -7*w - 7. What is 7*n(z) - 3*r(z)?\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-44) + (-939)\/(-264) - 3.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (3*(2 + -5*sqrt(3087)*3 + sqrt(3087)))**2 + -3.\nAnswer: -10584*sqrt(7) + 5445499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 1212392272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y + 4*p + 21, 0*p + 20 = -5*y - 3*p. Let b be y\/2 + (-9)\/(-2). Solve -4*w = -b*m - 7 - 5, -4*m - 5*w - 3 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4734 and 19580613.\nAnswer: 117483678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v*v*v*v**(2\/3)*v)**(-6)\/(v\/(v*v*v**(-2)*v))**(-1\/2))**(-21) assuming v is positive.\nAnswer: v**714","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = -3*o + 38, 5*o = 3*q + 70 - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11909\/1518 + -3\/253. Find the common denominator of 61\/3 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 423958664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.3003749km?\nAnswer: 300374900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -4520016\nAnswer: -1\/1130004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -21 + 4. Let a = 27 + w. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -87  (b) 3\/5  (c) 2\/15  (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44130 = 3*s + 3*n, -3*n + 0*n - 58875 = -4*s. Suppose -10*m = 30895 + s. Round m to the nearest one hundred.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - f - 8 = 0. Let l be f\/(-20) - 26\/(-10). Is (-6)\/((l\/1)\/(-6)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1548149 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q - q**2 - q)*(q + 0*q + 2*q) - 2*q**3 - q**2 + q**2.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 6 - 2)*(-q + 0 + 0) - 5*q - q + 4*q + q - 1 + 1 - 7*q - q - 4*q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27959?\nAnswer: 73, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of 47.09 and -2674.46.\nAnswer: -2627.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -405924327 divided by 135308109.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -287*r + 135. List the prime factors of f(-5).\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 AM and 7:27 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -14*(15\/21 + -1). Suppose 6*j - 8 = 10*j + 4*g, 2*j - u*g - 20 = 0. Solve -z = -j + 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wcxx when four letters picked without replacement from ccxpmxcwxpxcxm?\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -36137  (b) -0.4  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 15 = 7*v, 5*w - 13*v - 40 = -17*v. Let m = -5 - -8. Solve 14 = -m*n - w*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 872750021 to the nearest integer?\nAnswer: 29542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (4 + 1 + sqrt(5))**2)*-4 + -5 + -1*(sqrt(5) + (sqrt(5) - sqrt(20)*-5) + sqrt(5) - (sqrt(5) - (sqrt(40)\/sqrt(8)*4 + sqrt(5)))**2).\nAnswer: -53*sqrt(5) - 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1b + bb7c56?\nAnswer: bb7c74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*l**3 + 15*l**2 + 171*l + 297.\nAnswer: -3*(l - 11)*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*i - 252 = -18*i. Suppose -7*j + 2*j = 5. Let o = j - 10. Do o and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1496858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*c = -45*c - 62 + 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 2. Suppose -6*a + 5*a = n. Let a*q + 2\/5*q**5 + 0*q**2 + 2\/5*q**3 + 4\/5*q**4 + 0 = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1\/8, 0.5, -6\/25, 0.1, -5 in descending order.\nAnswer: 3, 0.5, 1\/8, 0.1, -6\/25, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11082 + 188506\/17. Are s and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27900 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qzgao. What is prob of sequence gazg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1*-7.2\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 37555779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-20)\/n)**37 assuming n is positive.\nAnswer: n**(-740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 5 - 17*i - 3 + 4. Let d(m) = 6*m - 78. Let q be d(12). Let s be o(q). What is the highest common divisor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(2) + 2)*6 - 2*sqrt(98)*-6)**2 + -6*(-2*sqrt(18) + (sqrt(162) - (sqrt(162) + 1)**2) + 2).\nAnswer: 1170*sqrt(2) + 17202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-44937)\/19972*88\/(-3).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 154.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1943090175 to the power of 1\/4, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 66374583.\nAnswer: 3, 11, 149, 13499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r**(12\/11)*r))\/(r\/(r\/(r**(-5)*r))) assuming r is positive.\nAnswer: r**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/15 and 21\/378*95\/(-90).\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.037 and -1287853.7992.\nAnswer: -1287853.8362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 85237 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 56250389 and 6461?\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 91670897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -3*u + 24. Let c be r(10). Let m be -70 + (12\/c)\/(-2*1). Let o = m + 75. Let d(w) = -w**2 + 3*w - 3. Give d(o).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 126354 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/7, 4\/2043, -13, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 6218 and 25272988604.\nAnswer: 25272994822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6973238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.2 + 2.6. Which is the nearest to 2\/5?  (a) 0.1  (b) k  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*(k\/k**1)\/k*k*k)**(-34)*(((k\/(k*k**1))\/k)\/k)\/k*k*k*k**(1\/39) assuming k is positive.\nAnswer: k**(-2729\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the second derivative of v**5\/10 - 22*v**4 + 1407*v**3 + 8978*v**2 + 4*v - 515. Factor h(g).\nAnswer: 2*(g - 67)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00124184469 to seven dps.\nAnswer: 0.0012418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 2 i, and 1 t when four letters picked without replacement from ctttitaiiptc?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gmu when three letters picked without replacement from mvgufkmvf.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*c - 1. Suppose -3*m = -6, -c*i + 460 = -i - m. Does 31 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -2 - 1 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 290 + 146*n - 290 + (0*n + 3*n + 3*n)*(2 - 3 - 1).\nAnswer: 134*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -72 + 46. Suppose 0 = -16*b + 6*b - 1490. Let s = z - b. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13590?\nAnswer: 2, 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0.22, 0.298, 0.5, -3 in decreasing order.\nAnswer: 0.5, 0.298, 0.22, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in 3\/7, 63\/67, -5\/19, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8)\/12 - (2 + (-78)\/9). Let w(q) = -2*q**2 + 5*q + 3. What is w(r)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 202 (base 3) to base 5\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -860 = -554*q - 649 + 1451. Factor -2\/7*n**q + 2*n**2 + 0 - 12\/7*n.\nAnswer: -2*n*(n - 6)*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2347627505?\nAnswer: 5, 317, 1481153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/7, 844, 19, -4\/29?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 276 - 277. Suppose p = 10 - 3. List the prime factors of (-12)\/42 + (j - (-359)\/p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -9\/25  (b) 2\/25  (c) -13  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 + 70\/18 + (-40)\/(-360). Suppose 1 = 3*r - 8. Factor -2*x**3 - 2*x**r + 215*x**2 - 215*x**l.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 105 = -2*w, 3*w + 139*j = 135*j - 141. Let v be (w\/2)\/17*2. Which is the smallest value?  (a) -3\/11  (b) v  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 38531319*x. Let j(i) = -6*i**2. What is t(j(n))?\nAnswer: -231187914*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 c, and 1 t when three letters picked without replacement from {t: 1, b: 2, c: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:15 AM and 9:28 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times 181.9?\nAnswer: 90.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*t - 66 + 46 = 0. Solve n = b - n - 11, -t*n = 4*b - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from nnnnndwtt?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 279518 is divided by 279514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1)\/(-2))\/((-8)\/(-80)). Suppose -30 = -n*k + 70. Solve -4*a + k = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -56117414 rounded to the nearest one hundred thousand?\nAnswer: -56100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:16 AM and 12:08 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 323 (base 14) to base 13\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.2 - -2. Suppose -288 = 4052*l - 4036*l. What is the third biggest value in x, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes before 5:45 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - v - 4 - 9 = 0, 0 = -4*l - 5*v - 8. Suppose 0 = -b - l, -t + 54 = t - 4*b. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 2 = -2*u. Suppose -u*b + 185 = -39. Let s be 8\/14 + (-616000064)\/b. What is s rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 3*t - 128, -46*f + 42*f = -4. Calculate the lowest common multiple of 72 and t.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -20*j**3 - 14*j**2 - 9*j + 69. Calculate the remainder when c(-6) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3060312 is divided by 11088?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -2167967 to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 125 = 5*i, -3*i = 4*m + m - 203. Let t(n) = -14*n**3 + n**2 - 2*n + 1. Let a be t(1). Let p = a + m. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2119 (base 10) to base 11.\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9 (base 11) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1791.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 + 2\/7 + 25\/35. Suppose 0 = -l*r + 19 - 9. Calculate the highest common divisor of r and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0193894073 rounded to five decimal places?\nAnswer: 0.01939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9288.1 - 9287. Let t = -2.9 - -2. Let n = f + t. Which is the nearest to -0.1?  (a) 2\/15  (b) n  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11871?\nAnswer: 3, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -25. Let q = 22 - p. Let o(b) = -6*b**3. Give o(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 140780377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 6, s: 12}. Give prob of sequence ese.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 59 - 41. Let n = 19 - t. Let y be (5\/2)\/((-1)\/(-2)). Solve 3*o - y = n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 184640 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17 + -15. What is the tens digit of 11 - -1*(0 + g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(77) - 1*sqrt(77)) + sqrt(77) - sqrt(77))*-1)\/((sqrt(275) - (sqrt(275) + sqrt(275) + sqrt(275)*2 - sqrt(275))) + sqrt(275)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 743724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**3 + 12*k**2 - 29*k - 206. Calculate v(-9).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 452572 divided by 40\nAnswer: 113143\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(15)\/((sqrt(5) + sqrt(5)*-5)*2).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18516.\nAnswer: 2, 3, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-7 + (-10 - -13))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 36\/(-162) - (-236)\/9. Let t be 10\/(-40) + f\/8. Which is bigger: 18 or t?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + n - 57 = -100, 0 = -3*p - 6*n + 42. Suppose -14 = -3*l - 44. Let o = l + 16. Calculate the remainder when p is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 5 + 29 = 0. Suppose -3*r + d + 136 = 0, 4*d = -4*r + 204 - 12. Calculate the remainder when r is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c. Suppose 5*t - 5*j = 10, 9 = 5*t - 3*j - 9. Let l(n) = 6 - t - 2*n. Determine u(l(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 4*f)*(-10*f**2 - 164*f + 168*f + 0*f**2)*(2*f - 2*f + 3*f).\nAnswer: -120*f**4 + 48*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -220510 - 4?\nAnswer: -220514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7676695 and 0.1.\nAnswer: -767669.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 8157, 3184, -1789, -6762, -11735, -16708?\n\"Answer: -4973*i + 13130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**2 + 8*v - 19. Let z be o(6). Let m(c) = -c**2 - 3*c + 7. What is m(z)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, -8, -24, -6.5 in decreasing order.\nAnswer: -2\/7, -6.5, -8, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -64*g + 11*g**2 - 369*g**3 - 11*g**2 + 62*g to the form x*g + u*g**3 + l + k*g**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u + 0 + 0)*(-3 - u + 3) - 3*u**2 + 3 + 3 - 4.\nAnswer: -5*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 2:22 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 5*c - 25 = 0, 3*u + 0*u - 11 = c. Let v(s) = -s**2 - 5*s + 5. Let m be v(-5). Solve -4*p = -u*p + m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -51 + 69. Let y be 12*((-6)\/27 + 22\/g). What is the highest common factor of 48 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 794*n + 788*n + 805*n - 2413*n. Let s(q) = q. Give 5*s(p) - x(p).\nAnswer: 31*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 5*x - 8 = -4*x, 0 = -3*h + x + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2 - 11*l - 8. What is the tens digit of g(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 53774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3088 a factor of 535774176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1822288.\nAnswer: 2, 13, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/4, 12, -4\/5, -3\/8 in ascending order.\nAnswer: -4\/5, -3\/4, -3\/8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 39 = k + 4*k, 0 = 2*k + 6 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 3*t - 111 - 57, 3*b = 3*t - 162. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 3, i: 2, f: 3, r: 2, e: 1, b: 4}. What is prob of sequence iilr?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5649 is divided by 151?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 + 3. Let o(v) = v**3 + v - 3. Suppose 4*t - 6*r = -8*r + 20, 4*t - 14 = -r. Give t*o(c) + 3*m(c).\nAnswer: -c**3 + 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 + 9*r**2. Let v be w(-9). Solve -5*i + 20 = -v*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iin when three letters picked without replacement from ninni.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 18 + -13. Suppose -u = 3*l - 2, -u = 2*l - 0*u. Suppose -2*y - 3*s = -9, -6 - 5 = -l*y - 5*s. Which is the third smallest value?  (a) y  (b) -3\/5  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -9 and -0.0932.\nAnswer: 0.8388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 84 divide 391493424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -274*g + 235*g = -1014. Solve -22*x = -g*x - 24 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -424 and -425 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*r - 2\/7*r**5 - 10\/7*r**3 + 0 + 4\/7*r**2 + 8\/7*r**4.\nAnswer: -2*r**2*(r - 2)*(r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -23744 and 85.\nAnswer: -23659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*v - 5*v = -5*w + 5 - 45, -4764*v + 4764*v + 28 = 4*w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 + 9 = -3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 (base 14) in base 8?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzyr when four letters picked without replacement from zbrzyyeeyy.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 309, 1665, 5129, 11745, 22557, 38609, 60945, 90609?\nAnswer: 128645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*c + 5 - 5)*(-7 + 5 - 4)*(-44 - 39 + 57).\nAnswer: -936*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 75 - 61 = 2*q, 4*q - 5*l - 25 = 0. Suppose q*p - 2*p - 6 = 0. Sort 1, -5, p in increasing order.\nAnswer: -5, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 + 11*n + 3. Let j be p(-10). Suppose -4*s - 4 + 12 = 0. Does 13 divide ((-144)\/14)\/s*j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 3*q. Let r(f) = -8*f. What is h(r(w))?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = o + 46. Let r = o - -73. Solve 4 = s + r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (71 - 49 - 176 - 2 + 1 - 1 + (0 - 2 + 4)*(-2 - 2 + 2))*(3 - 3 - f) in the form r*f + p and give r.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*o**2 - o**2 + 4*o**2)*(0 - 5 + 4) + 9 + 3*o**2 - 9 - o**2 + 5*o**2 - 3*o**2 to the form m*o**2 + l + u*o and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*z - 22 = 122. Suppose -4*w - z = 0, -717 = -5*q + 4*w + 354. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -21*r**4 + 1518*r**3 - 26856*r**2 - 49248*r + 1026432 = 0?\nAnswer: -6, 44\/7, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 522, 2156, 4914, 8814, 13874, 20112, 27546, 36194?\n\"Answer: 3*z**3 + 544*z**2 - 19*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-18)\/30 - (5 - 53\/5). Suppose -u*l = -2*k - 305, -5*l + 2*l = k - 183. What is the greatest common divisor of 183 and l?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3696 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -55134547*k**3 + 279036*k**2 - 9.\nAnswer: -330807282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5142 + 6b?\nAnswer: 51b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**2 + 3*k - 1. Let c be o(-3). Let q = 1 - c. Solve 1 + 19*v**q - 17*v**2 + 2*v**3 - 1 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9.869 + 0.169. Let q = -6.7 - s. What is the third smallest value in -2\/7, -1, 4\/7, q?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (1 - 3) - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q - 4*l - 30, -3*q - 3*l + l - 18 = 0. Put -5\/2, q, -16 in decreasing order.\nAnswer: -5\/2, q, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -396 - 399 - 13*w + 794.\nAnswer: -13*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**3 + 4*a**2 + a - 2. Determine i(-5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 1, 11\/9 in descending order.\nAnswer: 11\/9, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:54 AM and 8:20 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00189406 to 4 decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**3 + 18*f**2 + 17*f - 38. Let g be n(17). Suppose 4*u - g - 168 = 3*r, -2*u - 3*r = -336. Is u a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7791.5249 + -816038.\nAnswer: -808246.4751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**3 + 8*o**2 + 14*o + 4. Suppose -4*v + 2*v - 12 = -3*t, 0 = 5*v + t + 30. Determine q(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**5\/7 - 65532*s**4\/7 - 1179333*s**3\/7 - 5306634*s**2\/7.\nAnswer: -s**2*(s + 9)**2*(s + 65514)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*u - 0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -36, -35, -34, -33?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11233 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 22 - (0 + (-3)\/3). Suppose -4*x - o = -13, -4*x - 2*o = o - v. Suppose l + x*l = 84. Round l to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 + 10. Let r(c) = 325*c - 141*c - 45 - c**2 - 163*c. Let g be r(18). Calculate the highest common divisor of g and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -8995497.9 and 0.06.\nAnswer: -539729.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - s - 7 = 0. Let v = s + -3. Factor -2*y - 2*y**2 - 2*y**2 + 2 + v*y.\nAnswer: -2*(y - 1)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s + 64*f - 61*f, 0 = 5*s - 8*f + 1. Suppose -1 - s*z - 9\/4*z**2 = 0. Calculate z.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:25 AM and 9:06 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*v - 4*v - r - 16 = -16*v + v, 6*v - 55*r = 880 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - 1)\/(2 + 1 - 1). Solve 3*c - 5*c - 8 = r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -406.7  (b) 1\/5  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*q**2 - 11*q**2 - 4*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1399 + -1399.4. What is the third biggest value in z, -10, 0.02?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.8 * -2.37.\nAnswer: 1.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -156*l**2 + l + 0*l**2 - l - 138*l**2.\nAnswer: -294*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 0 + 2*g)*(-2*g + 2 - 2) - 2015*g - 260*g**2 + 2015*g)*(-1 - 2 + 4).\nAnswer: -264*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4013*w**5 - 8018*w - 5?\nAnswer: -80260*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**2 + 168*h - 12819. Let a be s(-225). Let t be (2*-1 - -5)\/1. Sort -4, t, a in decreasing order.\nAnswer: a, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 982929689?\nAnswer: 7, 3307, 42461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84239?\nAnswer: 84239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 + 2663*i - 373*i.\nAnswer: 2290*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 55560123 to the nearest integer?\nAnswer: 7454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(1872))**2 + 3*sqrt(117).\nAnswer: -39*sqrt(13) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i**3\/13 + 32688*i**2\/13 + 133465050*i\/13 - 801967500\/13 = 0 for i.\nAnswer: -8175, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 889062000 to the nearest one million.\nAnswer: 889000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v + 4. Let h be b(-17). Let t = -19 + h. Let s(j) = -2*j**2 + 24*j**t - 8*j**2. Let q(w) = 2*w. Calculate q(s(u)).\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8\/12 + 7\/3. Let y be (-1)\/(-3)*(v + -2). Let f = -11.9 + 11.6. Which is the third biggest value?  (a) y  (b) 0.5  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqqddqq. What is prob of sequence qdq?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from gllgggllglllllglb?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 + 23 = o + 2*g - 10, 30*g - 146 = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -61 + -118. Let d = j + 294. Suppose 0 = -5*q - d + 420. What is the remainder when q is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 + 10*t + 16*t - 17*t + 56*t + 10*t in the form c*t + y and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1765856 hours in seconds?\nAnswer: 635.70816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 571 or 0?\nAnswer: 571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20382*u - 3 - 450*u + 1.\nAnswer: -20832*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/5134770 and 103\/60.\nAnswer: 10269540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 152149023 divided by -23777.\nAnswer: -6399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 5*a**4 - 9990*a**3 + 2728805*a**2 + 16683300*a + 13944500 = 0.\nAnswer: -5, -1, 334, 1670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -101491 = -2*m + 3*w, 40*m = 35*m + 5*w + 253740. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -10  (b) -16  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 5*m = -22, -5*v + 3*m + 2 = -3*v. Sort v, 5, -39 in ascending order.\nAnswer: -39, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from {u: 1, a: 1, b: 1, s: 2, l: 1, d: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -7487, -30219, -68149, -121277, -189603?\n\"Answer: -7599*d**2 + 65*d + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the third derivative of l**7\/1008 + l**5\/12 + 2*l**2. Let s(d) be the third derivative of k(d). Let i(r) = -r. What is s(i(v))?\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 + 84 = 23*v - 301 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 102 + -93. Let b(i) = 26*i - 29. What is the hundreds digit of b(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 13 + 2302420221?\nAnswer: 2302420234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**3 + 2*w**2 - 9*w - 7. Determine d(6).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.122707427 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-1)\/(71478\/(-8934) + 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100001101101000 (base 2) to base 12.\nAnswer: 9ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5.26+0.116\nAnswer: 5.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(2)*-1 + sqrt(200) + -1.\nAnswer: -1 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -753024.231 rounded to the nearest ten thousand?\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 16141472?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -41104711 minus 0?\nAnswer: -41104711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3c6 - 4?\nAnswer: 3c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -583 or -582?\nAnswer: -583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5)\/(6 + 4)*-10. Suppose -z*p - 3 = 7. Is 417 - (p - -1)*-4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = w - 4*k + 18, 2*w - 3*k - 4 = 0. Solve 2*n + 0 + 13 = w*j, 9 = 4*j - 3*n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 783, -131, -2, 0.5, 0.2, -5, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-11\/3)\/u**(-3\/16)*u**(-22)*u*u*u**(-21)*u assuming u is positive.\nAnswer: u**(-2087\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 1084 = 89. Let n = 211 - p. Calculate the smallest common multiple of 20 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 9, v: 1, i: 1, y: 7, u: 2}. What is prob of sequence iy?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 204965318?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**3 + 5*f**2 + 3*f + 1. What is the remainder when q(-4) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3.29, -0.3, 0, -5, 7.4, -9 in decreasing order.\nAnswer: 7.4, 3.29, 0, -0.3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(1\/2)\/(u**(2\/31)*u) assuming u is positive.\nAnswer: u**(-35\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7557\/7 + -1079. Let h = -113 + 69. What is the biggest value in -1\/2, -1\/4, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 + -73c2c?\nAnswer: -73c29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -72438 + 350861.5726?\nAnswer: 278423.5726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/486 and 26\/(-63)*(8 - (-206)\/(-24)).\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-101 - -194 - 84) + (-3 - (-3 + 76))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.113988 take away 1.2225783?\nAnswer: -1.3365663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5178203 is divided by 259.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (420\/(-75))\/(1\/(-20)). What is the lowest common multiple of 14\/(a\/264) + -1*1 and 58?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -224.6 - -206. Let i = -18.1 - n. Which is smaller: i or -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 318.9 - 336. Let c = 11.8 - -5.2. Let t = c + v. What is the closest to -0.4 in -2, t, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70 = 6443*l - 6438*l for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 100762.\nAnswer: 2, 83, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 47 = -57 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(-5))\/(2\/(-6)*-138).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the first derivative of -a**2\/2 + a + 2. Let r(h) be the second derivative of h**2\/2 - 8*h. Calculate -m(g) - r(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 PM and 2:13 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/(p\/(p\/p**(3\/17)))*p*p**5*p**(-1\/14)*(p*p\/p**(-2\/47))\/p*p assuming p is positive.\nAnswer: p**(98377\/11186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-485)\/(-388))\/((6\/2)\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2498.\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 7*s. Let h(z) be the second derivative of 0 + 0*z**2 + 89*z + 17\/12*z**4 + 0*z**3. Determine h(f(u)).\nAnswer: 833*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/4 of a century in months?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 241598, 483188, 724778?\n\"Answer: 241590*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dpdpss. Give prob of sequence pdps.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 2*t**4 - t**3 - t**2 + t. Let x(i) = -42*i**4 - 283*i**3 - 481*i**2 + 735*i - 150. Let r(c) = -5*k(c) - x(c). Determine a so that r(a) = 0.\nAnswer: -5, 1\/4, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 4 + 0 = 0. Suppose -u + 10 = -4*m, -m - 18 = -4*i. Calculate the remainder when ((-9)\/(-9))\/((-3)\/(-12)) is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 278073 + -278150.99945. Let q = 78 + p. What is q rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000007448687 to 7 decimal places.\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 0. Suppose 11 + 5 = 4*o. Suppose 4*v = o*q + 72, 6 = -j*q + 3*q. Solve v = 2*b - 6*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*2*1*(-17 + (-1652)\/(-98))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 - 12*u**2 - 10*u + 14. Let o be v(-11). Calculate the highest common divisor of o and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11903, 11878, 11869, 11882, 11923, 11998, 12113?\nAnswer: 12274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*l + 2*l**2 - 65 - 4*l + 68 - 2*l**3 as x*l**2 + i*l + j + m*l**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 461818477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.6 - -1. Let y = -0.9 + w. Sort y, 2\/9, -1 in descending order.\nAnswer: 2\/9, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2377, 4833, 7289, 9745, 12201?\nAnswer: 14657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 4 - 3)*(y + 2*y - 5*y + (-4*y - 2*y + 2*y)*(-7 + 4 + 2))*(2 + 0 + 1)*(8*y + 44 - 44)*(-y + 2*y - 2*y) as g*y**2 + r*y + m + l*y**3 and give l.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -15\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**3 + 308*j**2 - 1582*j + 1272.\nAnswer: 2*(j - 4)*(j - 1)*(j + 159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 13 = -4*o, 4*b + 2*o + o = 26. Solve b = -188*u + 177*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 27010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 165891 is divided by 129.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -0*v + 5*v - 99, -3*m + 158 = -2*v. Let l = -40 + m. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14611 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 0*l + 12 = 0. Suppose -4*m = -7*m + l. Solve -j = -4*w + 7, m - 9 = -3*j - 2*w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f - 3. Let y be n(5). Suppose t = -y*q - 3, -8*t + 9 = -3*t + 4*q. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -18*b + 150. Let p be x(-10). Is 420\/45*p\/4 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1266 - -259. Suppose -315 - b = -10*k. Let h = 395 - k. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 100*b - 814 + 827 = -1558 - 1929 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = -g, -8389 = -f + 2*g - 8337 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (46 + -9 - -4) + 4 + -2 + -2?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6967 + 6982. Put f, 4, -13 in ascending order.\nAnswer: -13, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -421*j = 136*j + 3342 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3778047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q - 85 - 87 + 172. Let p(c) = -4*c. Give o(p(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 1101421 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 2656*y - 631174 - 202395 - 42*y**2 + 16*y**2 - 830*y + 25*y**2 = 0.\nAnswer: 913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (9*l**2 - 38*l**2 - 27*l**2)*(-4*l**2 + l**2 + 6*l**2) as p*l + o + i*l**4 + r*l**2 + c*l**3 and give i.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*b + 8*b**4 + 0*b**3 + 0*b - b**3 as s*b + q*b**4 + o*b**2 + f + p*b**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**2 + 2*u - 3. Let i be y(0). Let f(m) = m**3 + m**2 - 6*m + 2. Let s be f(i). Which is smaller: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 343224 and 1029?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1346, -686, -38, 592, 1198, 1774?\n\"Answer: -g**3 + 667*g - 2012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 13\/130 + (-47)\/70. Let y = -125\/14 + n. What is the common denominator of y and -52\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (23 - -69) + -129 - (24 + 2).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6286*a**5 - 2*a**3 + 8702*a**2 wrt a?\nAnswer: 377160*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 189\/12*48\/18. Let o = b - 23. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 2*x - 61 = 0, -4*l - 2*x - 44 + 318 = 0. Let y = l - 75. Let z(k) = 2*k**2 - 4*k. Let g(u) = -2*u**2 + 3*u. Calculate y*g(v) - 3*z(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 729 + 401?\nAnswer: 102a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 6665987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5163518 and 10138844.\nAnswer: 11762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (4 + (-1 - -5) + -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/5 of a kilometer in meters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 39299434 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*s**2 + 2*s - s**4 + s - 12*s**3 - 2 - 4*s + 6*s**2 as j + t*s**3 + i*s**2 + b*s**4 + a*s and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + v + 68 = 3*u, -70 = -4*u + 5*v. Let s = 35 - u. What is the remainder when 43 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(704)*2 + 3)*-6 - ((sqrt(110) + 2*sqrt(110) + sqrt(110) + sqrt(110))*-4 - sqrt(110))\/(sqrt(10) - (sqrt(10) - -2*sqrt(90))))**2.\nAnswer: 14328*sqrt(11) + 436907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -526 - -1007. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 + 5*o**2 + 3*o - 4. Suppose 0 = -32*c - 333 - 403. Suppose 5*i - 5*h - 3 - 117 = 0, -96 = -5*i - h. Let q = c + i. Determine t(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/896 and -83\/560.\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in u**2 - u**2 - 2*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23*6\/276*-30.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 6:45 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -19*j + 2. Let c(m) = 246*m - 27. Give -2*c(n) - 27*r(n).\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -98 - -103. Calculate the lowest common multiple of 50 and f.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*y**3 + 503447*y**2 + 8952567*y?\nAnswer: -36*y + 1006894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6\/(-9))\/(3\/(-9)). Suppose p*r - r = 0. Is 17 a factor of 28 - (1 + r + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 14, -8, -46, -100, -170, -256, -358?\n\"Answer: -8*x**2 + 2*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -44 - -58. Calculate the highest common divisor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:47 PM and 9:32 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**3 + 4*n**2 - 3*n. Let x be i(2). Factor 18*d**4 + d + 24*d**x + 3*d**5 - 5*d + 4*d + 36*d**3.\nAnswer: 3*d**2*(d + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the second derivative of 2*g**4\/3 - g**3\/3 + g**2 - 44*g - 22. Let p(q) = 17*q**2 - 5*q + 3. Determine 5*c(o) - 2*p(o).\nAnswer: 6*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -2*j - 5. Let f be w(-5). Suppose 3*x = 5*v, -v = -f*v. Let u = 2 + 0. Solve x + 10 = -u*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 341*b**2 + 6688. Let m(n) = -2*n**2. What is c(m(r))?\nAnswer: 1364*r**4 + 6688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00419001238 to four decimal places.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -168, 0.3 in ascending order.\nAnswer: -168, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2884*u - 3045*u + 1 - 1 + 1221*u)*(1 + 2 - 2) in the form a*u + y and give a.\nAnswer: -4708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2, -25, -68, -137, -238, -377?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2588092?\nAnswer: 2, 13, 71, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11304868 + -2004868. What is j rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4706354287 + -0.2\nAnswer: -4706354287.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) -84\/13  (c) -1973\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 0 - -5 - (1416 + -1405)) + 43\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 130094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 9*h - 3. Let p(f) = -8*f + 3. Let l(i) = 4*b(i) + 5*p(i). Let s be l(-6). Let t = -85 - -112. What is the greatest common divisor of t and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13504177 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1425 - -1348. Let z(s) = -16*s - 4. Let c be z(-6). Let i = w + c. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1166 - -135?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 2*g = -0*g - 10, 4*w + 3*g - 15 = 0. Suppose 26 = -w*q + 2*q. Let f = q + -8. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 80.06 - 84. Let z = g - 0.06. Let w = z + 3.9993. What is w rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1405 and 255.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from {y: 1, i: 1, g: 2, x: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/1596 and -5\/57.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 7*j**3 - 3*j**2. Let m(y) = 22*y**3 - 10*y**2. Let v(k) = 5*m(k) - 16*u(k). Factor v(z).\nAnswer: -2*z**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1700 - 0.1.\nAnswer: -1700.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.052 - 0.052. Let y(w) = -19*w + 381. Let n be y(21). What is the second smallest value in -1, n, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1324 and 331.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 + 6. Suppose 33 = 2*j + 3*j - 4*f, 24 = 4*j - 4*f. Suppose 4*w + 5*i = 2*w + j, w = 3*i - 1. Solve -r*v = -v + w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 633*11.\nAnswer: 6963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 30*c**2 - 11*c - 61. Is t(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from woowooowwoowoo. Give prob of picking 1 o and 3 w.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k - 40 = -12. Let t be (-18)\/1*(-2)\/k. Is (-66)\/(3\/t*-2) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -200 = 3*a + 2*j, 3*a - j - 2*j = -180. Let w = 66 + a. Solve -4*t + 5*p = w*p + 35, -10 = 3*t + p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 41.9797 to 1 decimal place.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 2*a + 132 = -3*a, -98 = -4*m - 3*a. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of -35*r - 54 - 65\/2*r**2 + 5\/4*r**4 - 25\/3*r**3. Find u, given that m(u) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 7*j - 14. Let m(k) = k. Determine g(m(i)).\nAnswer: 7*i - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*c - 3*c + 30. Suppose 5*y - 8 = -4*b + 45, 0 = -2*y + c. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 19 + -14. Suppose -5*m + 45 = 5*j, -a*m + 5*j = -1 - 4. Suppose -5*t = m*b - 1205, -3*b - 418 - 819 = -5*t. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 9*y - 142. Let p be v(16). Put p, -4, -2, 31 in decreasing order.\nAnswer: 31, p, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h**3 - h**2 + h**4 + h**2)*(-26 - 58 + 139).\nAnswer: 55*h**4 + 110*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4932*r + 4186*r + 763 - 763 to y*r + g and give y.\nAnswer: 9118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -4*-3*(-1)\/54. Let p be (56\/(-63))\/((-16)\/(-12)). Which is the closest to 0?  (a) q  (b) 3\/7  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 815614 equal to 815675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 583140 is divided by 97181.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 4}. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 2957 divided by -1\nAnswer: -2957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35220334 (base 6) to base 7.\nAnswer: 12163546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -702\/7  (b) 0.4  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -16 - 95\/(-57)*288\/30?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1296 and 328050.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -3942.\nAnswer: -788.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z - 4*c = -6, -4*c + 25 - 4 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:09 PM and 4:27 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(32\/4)*(-6)\/(-1).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.09, -2220, 1, -6, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 478*s. Let i(q) = 167*q**2 + q. Calculate d(i(y)).\nAnswer: 79826*y**2 + 478*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 22 = -5. Calculate the remainder when (-8)\/(-36) - (-1130)\/18 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5111229203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fos when three letters picked without replacement from soooooossfooslobools.\nAnswer: 11\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 525\/45 + 2\/(-3). Does 13 divide 3474\/f + (-4)\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**3 - 82*z**2 + 351*z - 559. Let o be a(-88). What is o rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -53 - -57. Solve -4*p - 26 = a + a, -w*p + a = 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((192\/78)\/(-8))\/(6\/(-39)). Solve g - 5 = -k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*u + 8, -683 = -5*y - 4*u - 360 - 344 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 5*4\/40*20*2. Calculate the highest common divisor of 100 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -101 + -1058809?\nAnswer: -1058910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -5*h + 4*d + 23, h + 4*d - 9 = 0. Let j(m) = -h*m + 3 - 2*m - 2*m + 3*m. What are the prime factors of j(-6)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15*d**3*k**3*p**2 - 2*d**3*k**2*p + d**3*k*p**2 - 5*d**3*p**2 - 3*d*k**2*p**2 + 5*d*k**2*p - 338*k**3*p**2 wrt k.\nAnswer: -90*d**3*p**2 - 2028*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1  (b) -2\/11  (c) -0.3  (d) -0.5  (e) 2\/19  (f) -529\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4058*i - 2028*i = 2058*i - 10472. Let b(x) = -x**3 + 6*x**2 - x. What is the smallest common multiple of i and b(5)?\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17222 and 1283276.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 22\/379  (b) -5  (c) 1  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -382268, -382266, -382264?\n\"Answer: 2*u - 382270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2328041 (base 10) to base 12.\nAnswer: 9432b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 4\/5, -24, -2.4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 141 is divided by 33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -9.1, -4, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(-10)\/j)\/j)\/j**0)\/(j\/j**(1\/5))**17 assuming j is positive.\nAnswer: j**(-123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 30021166.00546 - 30020808. Let j = v - 358. What is j rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q + 5*q + 0*q)*(1 - 2 + 0) + 260*q + 131954 - 131954 + 0 - 2*q + 0.\nAnswer: 256*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -580*d**5 + 7968*d**4 - 4032*d**3 - 170424*d**2 - 160380*d + 157464 = 0.\nAnswer: -3, -54\/29, 3\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -25*c - 11*c + 4*c + 3*c - 6*c + c + 0*c - 5*c + 4*c - 1 + c + 1 + (-1 - 1 + 0)*(-3*c + c + 0*c) - 3 + 3 - c to r + z*c and give z.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d + 5*m - 265, 3*m = 5*d + 46 - 335. Let l = d + -52. Suppose 0 = l*q + 26 - 122. 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: Let b(z) = 187*z - 10. Let p(u) = 1308*u - 69. Calculate 15*b(t) - 2*p(t).\nAnswer: 189*t - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of -57697 and -255.\nAnswer: 14712735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -943 - -878.4. Round n to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 11*v. Let o(x) = -1239*x + 1239*x + 8*x**2. Calculate o(q(d)).\nAnswer: 968*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**2 - 4*z + 1. Let s be m(-3). Suppose 2*l + 0*y = -y + 11, -s*y + 29 = 5*l. Solve -c = -3*r + 3*c - 11, -4*r - l*c = -6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 176.8 + -176.78. Let x = 2 - 3. Let d = 0 - x. Put d, -0.4, s in decreasing order.\nAnswer: d, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.273 - -2.673. What is the nearest to -3\/5 in -3, -12, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -221 (base 5) in base 10?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1\/2, -15, 35, -10, 1 in descending order.\nAnswer: 35, 1, 1\/2, -3, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vywwwydwdywewwwwnwww. Give prob of picking 1 d, 1 w, and 1 n.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 223920211?\nAnswer: 223920211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 n when two letters picked without replacement from {r: 4, t: 1, n: 4, w: 4, e: 7}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 267 and -0.5.\nAnswer: -133.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -498 divided by 249?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + j**3 + 2 - 6 + 2*j - j**4 + 4 as p + w*j + t*j**2 + f*j**3 + c*j**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/(-306))\/((-14)\/(-238))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the third derivative of 19*v**5\/12 + 103*v**4\/24 + v**3\/3 + v**2 + 22. Find the second derivative of c(s) wrt s.\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 25  (b) -4  (c) -829  (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32884?\nAnswer: 2, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1187*l - 1185*l - 1186*l + 3527*l.\nAnswer: -31*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 5 - 26. Suppose -5*j - 2*j + f = 0. Suppose -j*y = y - 108. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 5, q: 3}. Give prob of picking 2 i and 1 q.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, c: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4\/5 or -1517?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 + 10*i - 13. Let t be o(6). What is the first derivative of 15*c - 9*c - 3 - t*c wrt c?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1 and -176021.3?\nAnswer: 176020.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -53217 or 2\/3?\nAnswer: -53217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/10 of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 3*y + 3*y**2 - 7 - 3 + 2*y**3 - 4*y**2 - 3*y**3. Is s(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 34*i**2 - 3*i - 1. Let k(s) = 67*s**2 - 7*s - 2. Give -7*j(f) + 3*k(f).\nAnswer: -37*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21 + 816. Let o = 1143 - d. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -58.26*-162\nAnswer: 9438.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of -2*c**6 + 4*c**3 + 11. Find the third derivative of d(a) wrt a.\nAnswer: -720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4.86 + -0.14. Let g = 23 + -27. Sort -0.3, g, l in descending order.\nAnswer: -0.3, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25570*l**3 - 59 + 25580*l**3 + 59.\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 55 - 58. Let w be -3 - c - (-1 + (-46999)\/1). Round w to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.16719 times 1?\nAnswer: 0.16719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 12 - (-19 - (0 + -34))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -50.6756 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + 7. Suppose 0 = 2*z - v*z. Let j be 1*11 - (-1 + z). Solve 3*t - j = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 - 14*c**2 + 3*c + 1. Let g be (-4 - -2)*15\/2. Let t be y(g). Let o = t + 198. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 106043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 7\/2*o - 3 + 0*o**2 - 1\/2*o**3 = 0?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.4 - -3. Let l = -0.3 + n. Let v = 0.3 - l. What is the second smallest value in -2\/7, v, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 82\/7 + (-4)\/(-14). Let v = k + 6. Suppose 5*m - v = 7. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -3*c**3 + c**2 + 1. Let u(i) = i + 4. Let s be u(-5). Let g(t) = t**3 + t**2. Let p(v) = s*a(v) + g(v). Differentiate p(f) with respect to f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.021 - 0.919. Let n = z - 0.06. Let o = 3 - n. Put o, -2\/21, 3 in ascending order.\nAnswer: -2\/21, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-3 + 4 + sqrt(684) + 1*(sqrt(684)*-2 + sqrt(684)) + sqrt(684) + 3*(-1 + sqrt(684)) + 3))**2.\nAnswer: 192*sqrt(19) + 43780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5765041339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 235 and 36180647?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/6 and 47\/963.\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and -601336.44?\nAnswer: -240534.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -6*l - 9 - 15 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -4478, -17921, -40346, -71753, -112142, -161513?\n\"Answer: -4491*v**2 + 30*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (112\/308)\/(182\/(-77)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -20*j**2 - j. Let a = 507 + -336. Let k(l) = -345*l**2 + 171*l**2 + a*l**2. Give w(k(f)).\nAnswer: -180*f**4 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 305 and 9?\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 605142*i. Let f(t) = 9*t**2. Calculate a(f(b)).\nAnswer: 5446278*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 823010.\nAnswer: 2, 5, 82301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1646 and 44442.\nAnswer: 44442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrljr. What is prob of picking 3 r and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -4*b + 17. Suppose -7*p - 2*l + 20 = -3*p, -b*l + 16 = 0. Factor 0 - 1\/3*n - 1\/3*n**2 + 1\/3*n**p + 1\/3*n**4.\nAnswer: n*(n - 1)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -3*d**4 + 10*d**3 + 47*d**2 - 152. Let i(g) = 3*g**4 - 12*g**3 - 49*g**2 + 151. Let t(p) = -6*f(p) - 5*i(p). Differentiate t(x) with respect to x.\nAnswer: 12*x**3 - 74*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 1158\/11921 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes before 9:32 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 416*b - 144 = 410*b. Suppose 12*o - b*o = -336. Factor o*r + 10 + 98\/5*r**2.\nAnswer: 2*(7*r + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 - 8*u**2 + 7. Let x be q(-8). Let o = x - 2. Solve 23 = o*a - k - 1, 3*a - 24 = 3*k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-896)\/(-8))\/((-10199)\/7285).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 476\/102*55029\/119. What is the highest common divisor of 78 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -3*i**5\/4 - 21*i**4\/2 - 117*i**3\/4 + 273*i**2\/2 + 660*i + 504 = 0.\nAnswer: -7, -6, -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.11717*-901\nAnswer: 105.57017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 319 a factor of 855934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/5  (b) 15\/46  (c) 1512  (d) 4  (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q**3\/9 + 4328*q**2\/9 + 1810066*q\/9 + 1805740\/9 = 0.\nAnswer: -1598, -565, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 59068.62749 to the nearest one hundred.\nAnswer: 59100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 3:29 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 37357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*t**2 - 2*t**2 - 5*t**4 + (-3 - 2*t + 3)*(-t**2 + 3*t**2 + 0*t**2)*(-3*t + 4*t + 0*t).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5880437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -105\/374 and 91\/229636.\nAnswer: 229636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 8173351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3022015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 186*p**5 + 862*p**2.\nAnswer: 11160*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 - 1212.437247?\nAnswer: -1212.837247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 195 - 73. Let c = h + -853\/7. Let s = -3 + 4. Are s and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**3 + 22*d**2 + 31*d - 48. What are the prime factors of b(-16)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 15980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -37\/3 + 12. Suppose 3*i + 1 = d, -5*d = 3*i - 5 - 0. What is the nearest to i in 5, m, 3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -35405?\nAnswer: -4\/35405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -35 (base 7) to base 15\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.602642 + -0.473328. Let o = -1.13 + f. What is o rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-3*(-2 + sqrt(1216) + sqrt(1216) + sqrt(1216)*2 + 2) - (1 + (sqrt(1216) + -1 + sqrt(1216) - sqrt(1216)) + sqrt(1216) + sqrt(1216)*1*-4)*3)**2.\nAnswer: -43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-39)\/v)\/v**27*v**(18\/5)*v**(25\/2))**(-19) assuming v is positive.\nAnswer: v**(9671\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1014 or 997?\nAnswer: 1014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1a577a5 (base 12) to base 2.\nAnswer: -10101010101000010101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -5 - ((-5 - -5) + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 2*l - 6. Let y be q(10). Let x be 1 + (-6)\/y*1. Solve 0*o**2 - 4\/7*o**3 - 2\/7 + x*o + 2\/7*o**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 + 13.036. Let i = -0.0306 + k. Round i to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -331 - 101 = -9*h. Suppose 624 + h = -4*v. Let z be ((-4)\/v)\/(15\/6). Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 109*k + 722*k + 210*k - 48625 = 9671 for k.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 152886618 * -2.\nAnswer: -305773236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 80 + 10 - -15 - ((-7 - 4) + 25).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (2640 - 2599) + 4 + -14?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 123437126 and 38886.\nAnswer: 370311378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -44, -172, -386, -686, -1072, -1544, -2102?\n\"Answer: -43*t**2 + t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the first derivative of 12 + 31\/2*b**2 + 0*b**5 + 0*b - 19\/6*b**6 + 0*b**4 + 0*b**3. What is the second derivative of p(h) wrt h?\nAnswer: -380*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, -3.821.\nAnswer: -5, -3.821, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5079 - -3546. Is v a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 7536847, 15073708, 22610567, 30147424?\n\"Answer: -z**2 + 7536864*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 = -34*y - 0*y. Let q be (-23 + -2)\/5 + 5. Suppose 4*b = 5*h - 0 + 9, 2*b = 5*h - 3. Solve 5*p + 5*a + 10 = q, 0 = y*p - 2*a - a - b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71976\/(-16)*-2*(-1)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-44)*l*l**37)\/(l**(1\/5))**(-39) assuming l is positive.\nAnswer: l**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86*z + 18 = -95*z. Let y(q) = -q**2 - q. Let g(k) = -2*k**3 - 18*k**2 + 8*k + 24. Let t(n) = z*g(n) + 36*y(n). Factor t(o).\nAnswer: 4*(o - 4)*(o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**2 + 18*o + 71. Calculate s(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38\/(-7) - (43 - (-37 + 84)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -140 - -143. Suppose -a*g + 1388 = 2*f, 4*g + 2460 = 3*f + 361. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (-1 + 2 + -1 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1998202?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-206*d**2 - 181*d**2 + 710*d**2)*(-2*d + 1 - 1) to the form a*d**2 + p*d + g + q*d**3 and give q.\nAnswer: -646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 20442, 20394, 20330, 20250, 20154, 20042, 19914?\n\"Answer: -8*o**2 - 24*o + 20474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 317 + 1052 = 0. Suppose 3*t - v = -4*t. Suppose -q - t = -35. Which is smaller: 9\/11 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 112*f**4 - 92*f**3 - 100*f**2 + 92*f + 12. Let z(g) = -45*g**4 + 37*g**3 + 40*g**2 - 37*g - 5. Let x(l) = 5*j(l) + 12*z(l). Solve x(u) = 0.\nAnswer: -1, 0, 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:41 PM and 4:30 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 558 + -558.5. What is the biggest value in -487, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -9.4 and 15.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b. Let u(w) = 6*w. Let s be u(1). Let n(c) = -c**2 + 6*c + 4. Let j be n(s). Let r(d) = j + 3*d - 4. Calculate z(r(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 40339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -23*d**2 - 37*d**2 + 7*d**2 + 11*d**2 - 44*d + 33*d as y*d**2 + g + h*d and give y.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 35448 - 31560. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 46 = -2*u. Suppose 2*v = 0, 5*w - u = 4*v + 209. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -250*r - 487*r + 2081*r - 531*r - 459*r.\nAnswer: 354*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 2*r + 15 = 0. Let u be -203 + r\/(-3) + 1. Let t be u\/(-2) + (-2)\/(-4). Round t to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 125026 divided by -19\nAnswer: -125026\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2528 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 - -1. Suppose -2*q = 5*v - 17 - 12, -q = -2*v + t. Let m(c) = -13*c + 6. Let g(x) = 16*x - 6. Let i(w) = 4*g(w) + 5*m(w). Give i(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -106744.17 to the nearest 100.\nAnswer: -106700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 37, 0.09, 1, -0.5 in ascending order.\nAnswer: -0.5, -0.1, 0.09, 1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -3, -367, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 2 + 0 + sqrt(2) + sqrt(18)\/(sqrt(9)*1) - -3*(sqrt(288) + (sqrt(288) - (-1 + sqrt(288)) - sqrt(288))).\nAnswer: 2*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 37170 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = o - 4*p, -3*o - 123*p - 7 = -124*p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-9)\/x*x**(-11))\/(x**(3\/5)\/(x**(9\/5)\/x)) assuming x is positive.\nAnswer: x**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*k = 39*k - 98304. Suppose 4*b + k = -j + 5*j, -4*b = -2*j + 3070. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(180) + 3 - (((sqrt(180) - (2*sqrt(180) + sqrt(180))) + sqrt(180))**2 + 0))*3 + -4.\nAnswer: -538 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4094 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2\/601 - 1168\/10217. Suppose -3*m = -2 - 10. Suppose -m*d - 5 = -2*d - 3*j, 4*j - 1 = -3*d. Which is greater: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -988 - 981 + 1969 + 2*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(637) - ((sqrt(637) + 3)*-1 - sqrt(637)))*4 + 5.\nAnswer: 17 + 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*6*(-6)\/288*-48.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4779927506 a multiple of 779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -67 + 47 + (26 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 84462848 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -6, 0.4, -5, -9, -2375?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13797 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l**4\/2 - 63*l**3 - 1083*l**2\/2 + 22743*l = 0. Calculate l.\nAnswer: -19, 0, 19, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from jjszbbzzdaadjjbd.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26\/39*(-5 + (-74)\/(-16)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -13*k**2 + 15*k + 1. Let s(a) = 7*a**2 - 8*a - 1. Calculate 6*m(u) + 11*s(u).\nAnswer: -u**2 + 2*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-107 + 156 - 96 - 2*x)*(5*x**3 + 2*x**3 - 3*x**3).\nAnswer: -8*x**4 - 188*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -55 - (11 + 17 - (-1 + 13))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 146588 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2101\/2 + 1071. What is the common denominator of t and 25\/(-10)*18\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 + 4*u**2 - 3*u - 9. Let w be r(-4). Suppose -w*v = 11*v - 70. Let j = -1 + -3. Let z(b) = -8*b**2. Let d(n) = -7*n**2. What is j*z(a) + v*d(a)?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3269036?\nAnswer: 2, 23, 35533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/10, 0.5, -26, -1\/5, -2 in decreasing order.\nAnswer: 0.5, 1\/10, -1\/5, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5250 is divided by 872?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, s: 1, i: 1, u: 11, v: 1, q: 1}. What is prob of picking 1 s, 1 d, and 1 i?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -57 + 97. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -29342\/7, -0.049 in increasing order.\nAnswer: -29342\/7, -10, -0.049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -266\/3*p - 2\/3*p**2 - 344.\nAnswer: -2*(p + 4)*(p + 129)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - r - 490 + 1335 = 0, 3*r - 15 = 0. Suppose 3*z + 127 = -218. Let a = z + k. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1290866, 1, -5 in decreasing order.\nAnswer: 1290866, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -35*l + 281. Let t be q(8). Let v be 4\/(5 - t)*(7 - 2). Solve -5*r + 15 = 2*d, -v*d - 2*r = -0*r - 27 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**3 + 4*g**2 + 5*g + 4. Let s be l(-3). Suppose 9*i - 239 + 95 = 0. List the prime factors of 972\/i + 1\/4 + s.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -66*l + 65*l. Find the third derivative of 4 + 2*c**3 + c**3 - 9 + 8 + l*c**2 - 5*c**4 wrt c.\nAnswer: -120*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 446179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 + 10*h - 2. Let m(q) = 2*q**2 + 19*q - 3. Let c(z) = 3*m(z) - 5*y(z). Suppose -110 = 77*b + 198. Calculate c(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -18\/109, -3\/2, 70?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -2950390*m. Let v(i) = -9*i**2. Calculate r(v(p)).\nAnswer: 26553510*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 16847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2156.411 litres in millilitres?\nAnswer: 2156411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 - -2 - 2) + 0\/(-5). Let u = 32 - p. Is 29 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/153?  (a) 2\/25  (b) 5\/8  (c) 16\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 PM and 6:21 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 23372699 + -8?\nAnswer: 23372691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 19 + -1 + -2 + 2 + 3. Solve 0 = 2*p + 10, -w = 3*u - 4*p - 53 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 315 and 161901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 2 y when three letters picked without replacement from {y: 1, s: 7, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*(-1)\/2*2. Let h be ((4 + 0)*c)\/2. Suppose 4*o = -h*u + 18, 2*o = -0*u + 2*u. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*q - 0*q. Find the third derivative of q*l**6 + 2*l**2 - 10*l + 10*l wrt l.\nAnswer: 480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**2 + a + 29763. Calculate h(173).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11782 less than or equal to 11297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 4*y + 5. Let f(c) = -3*c - 4. Let q(x) = 5*f(x) + 4*s(x). Is q(8) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the second derivative of -f**3 - 2*f**2 - 17*f. Let i be h(-3). Find the second derivative of i*b + 18*b + 465*b**2 - 473*b**2 wrt b.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 279480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.25 + 15.45. Let b = h + -14.7. Let o = 6 + -11. What is the closest to o in b, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from rcjmrmmrmcrmrrqmrcr?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(80) + 0)**2.\nAnswer: 24*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-1\/3)\/z)**(2\/7)*((z*z**7\/z)\/z)\/z*z*z*(z*z**(-4)*z)\/z)\/((z**(-2\/3))**27\/((z*z*z**(-1))\/z**(-4))) assuming z is positive.\nAnswer: z**(559\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3309, 3306, 3303, 3300, 3297, 3294?\nAnswer: 3291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10*f - 30*f + 28 - 8*f - 9*f wrt f.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1810 divided by 362.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (0\/((-7)\/1))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = v - 35. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -56\/4615?\nAnswer: -56\/4615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in three tenths of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 17.2034 and 2.\nAnswer: 34.4068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 - 8*t**2 + 16*t + 12. What is b(-10)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 8 - -455?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1917853357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*t - 108*t - 23 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -20023.93126 rounded to the nearest 10?\nAnswer: -20020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3.540729  (b) 2\/3  (c) 0.4  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in y + 77349 - 2*y - 77349.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9*21\/(-945)*5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (12\/8)\/(6\/(-8)). Sort 5, -4, a in ascending order.\nAnswer: -4, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -217.501 to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -4*t**2. Suppose j + 4*x = 3*j - 30, -3*j + 4*x = -35. Let d(r) = -3*r - j*r + 4*r + 3*r. Calculate a(d(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 16 = -2*w. Which is the fourth smallest value?  (a) 4  (b) -0.1  (c) -2\/7  (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 419467158.\nAnswer: 2, 3, 11, 1039, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 + 23 = g. Let k be ((12\/10)\/g)\/(6\/30). Solve 0 = 5*a - 2*z - 15, k*a - 2*z = z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, -0.16, -6, 1\/6, -0.05, 68?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 1585.66 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/2)\/(((-225)\/(-54))\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 48 - 32. What is the remainder when 45 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**3 - 2*i + 2. Suppose -5*g = 25, -105 = -5*l + 2*g - 15. Calculate the remainder when l is divided by b(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-14)*s*s*(s*s\/((s**(-6)*s*s)\/s)*s)\/s)\/(s**(6\/5)*s*s**(-8)))**(10\/13) assuming s is positive.\nAnswer: s**(8\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Solve -74*u - 35*u = -6*u + 10*u - 5989 for u.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2b5 - 16?\nAnswer: -2cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 495 divide 195975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -34*q**2 + 1362*q - 77. Calculate the remainder when 94 is divided by d(40).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -223 - -328. Which is smaller: n or 109?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 5, m: 3, f: 4, r: 7}. What is prob of picking 1 m and 3 l?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12183*t**3*v**2 + t**3 + 4*t**2*v**2 + 60*t**2 - 14*t - 3 with respect to v.\nAnswer: -24366*t**3*v + 8*t**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -240 = 91*b - 95*b. Suppose -4*q - 72 = -4*a, -2*a - 5*q = -q - b. What is the remainder when 0 + (85 - -1*1) is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1094 - -1106. Solve o*k = 21*k + 27 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2471 (base 9) to base 15\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*p + 2*p - p)*(58*p**3 + 1010*p**3 + 141*p**3) - 5*p**4 + 3*p - 3*p as u + z*p**4 + g*p**2 + h*p**3 + s*p and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 1 - 4)*(2*k**4 - 2*k**4 + k**4 + 2*k**4 - 12*k**2 + 12*k**2 + (2*k - 2 + 2)*(3*k**3 + 2*k**3 - 3*k**3) - 2*k**4 + 2*k**4 - k**4 + 1 - 1 - 2*k**4).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2262275011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/(-420))\/((2\/8)\/1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-97)*38*(-2)\/((-836)\/22)\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**2 + r - 1. Let t be 1 - 8\/(-20)*-5. Let u(q) = -q**3 - 8*q + 1. Let m(f) = t*u(f) - 4*x(f). Determine m(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**25)**18\/(l\/l**(-7)*l*l)**(-6\/11) assuming l is positive.\nAnswer: l**(5010\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 124 and 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1157*h = -9*p - 1152*h - 11, p + 15 = 4*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 8*i + 20 = 0. What is the second smallest value in i, 0.4, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-14) + (-406)\/29 + 508\/28\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -54606, -54120, -53646, -53184?\n\"Answer: -6*c**2 + 504*c - 55104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*y + 62*y = 19*y - 648 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*m**2 + 53*m**3 + 40*m**3 + 116*m**3 + 9*m**2 + m in the form s*m**3 + r*m + l + j*m**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 22 = 3*w, -5*c + 0*c = 4*w + 50. Let i be (-1285)\/(-4) - w\/(-40). Suppose -i = -9*k - 78. What is the remainder when k is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 + 252\/35)*(-20)\/(-6)*2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cxxwxxxsc. Give prob of sequence swc.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(-2) + 3 + -11 + (-84)\/(-60)\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 49\/5 of a decade?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the first derivative of -3 + 2*z + 2\/3*z**3 + 2*z**2. Factor u(h).\nAnswer: 2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(99) - sqrt(99))\/sqrt(3) - sqrt(33) - (-2*sqrt(264))\/sqrt(8))\/((sqrt(147)\/sqrt(28) + sqrt(21))\/sqrt(7)*5).\nAnswer: -2*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*r + 0*r - 2*r)*(2 - 1 - 2)*(-182519 + 182519 + 9520*r**3 - 2*r) to the form y*r + n*r**2 + c + w*r**3 + a*r**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-736)\/(-23))\/((40\/25)\/4)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -222 - 10220?\nAnswer: -11212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 + -1751371?\nAnswer: -1751372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 34.26 + -0.76. Round n to zero decimal places.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = -5*s + 334. Suppose -s = -6*h - 0*h. Let t be -12 + h + (2 - 1). Solve -t*c + 4*c + 4 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -15  (b) -2\/9  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5999.\nAnswer: 7, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-96)\/10*(7 - 34\/2). Let x be (2\/(-26))\/(48\/h). What is the nearest to 1 in 0.05, x, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the second derivative of -5\/2*c**2 + 4\/3*c**3 - 2*c + 0 - 1\/12*c**4. Determine p(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.027 + -2.027. What is the second biggest value in 0.3, -1\/4, r, -12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 5*v - 61. Let u(c) = c**2 - 13*c + 14. Let i be u(v). Solve 0 = -2*f - 4*q - 20, 3*f = i*f - q - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*h - 24024 = -19*h. Is 77 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1177 + -3?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*a**5 + 3*a**5 - 4*a**5 + (3*a**4 - 2*a**4 - 2*a**4)*(4*a + a - 7*a) + (-2*a**2 - 4 + 4)*(3*a**3 + 6*a**3 - 3*a**3) - 4 + 2*a**5 + 4.\nAnswer: -6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 284 and 52114.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -496 + 62575\/126. Calculate the common denominator of -97\/462 and u.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2\/18705 and 34\/16125.\nAnswer: 467625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 1001300 to the nearest 10000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 2*t = -686, 812 = -4*f - t + 2179. Suppose 4*a = -5*a + f. Calculate the remainder when a is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 4)*(-m**5 - m**5 + m**5) - 2*m**5 - 30*m - m**2 + 30*m + (0*m**4 + m**5 + 0*m**4)*(2 + 2 - 3) - 2*m**5 + 5 - 5 + 0*m**5 + m**5 - 5*m**5.\nAnswer: -8*m**5 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 2*u - 1. Let p be d(2). Suppose -a + 14 = -p. Let z(r) = -r**3 + 2*r**2 + 1. Let l be z(-2). Calculate the greatest common divisor of a and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/20)\/(r*r**16*r*r))\/(r**4*(r*r**(2\/5)\/r*r*r)\/r) assuming r is positive.\nAnswer: r**(-487\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4581569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 342 divided by -171.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + j = -w + 39, 4*w - 193 = -5*j. What are the prime factors of j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*c**2 + 2 - 2 + (9693 - 9693 + 27*c)*(2*c + 4 - 4) as m*c**2 + g*c + y and give m.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:55 PM and 3:52 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -15 + 12*v + 5 + 8. Let h be p(2). Find the second derivative of 10*y**3 + 18*y - y**2 + y**2 - h*y wrt y.\nAnswer: 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19915 divided by -2845\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 14229*p**2*s + 13088*s wrt p?\nAnswer: 28458*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 26 - 11. Suppose -2*i = -4*z + 4, -1 = 4*i - 5*z - 5. What is the highest common factor of t and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 585 is divided by 174?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 12320120113 (base 4) in base 15?\nAnswer: 2596d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -3. Let h(t) = 24*t - 7*t + 0*t**2 + 2*t**2 - 18*t. Calculate h(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -5*y + 603. 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 derivative of 37213*f**2*j*q - 260*f**2 + 58*j wrt q?\nAnswer: 37213*f**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 222*x - 2759 - 1476 = 101*x for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -196890, -393778, -590668, -787560, -984454?\n\"Answer: -o**2 - 196885*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84*k + 213*k + 5747 = -226*k - 466*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n*n**1)\/n)\/(n\/(n\/(n\/n**(1\/2)))*n))\/(n*n**(-2)*n)**(14\/11))**(-5) assuming n is positive.\nAnswer: n**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 - 5 - -1)*1. Let v be (d - (-10)\/6)*3. Let q(n) = n**2 + 6*n + 4. Let z be q(-5). Is z at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - x - 52, 0*q + q + x + 16 = 0. Is (-34)\/102 - (-3)\/(q\/(-3380)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 4*s - 8. Let i = -1 + 6. Let b be c(i). What is the third derivative of 7*n**2 + b*n**4 - 14 + 4*n**2 + 14 wrt n?\nAnswer: 288*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/4*41\/(11275\/200).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-18530)\/(-30) + 1\/3. Let d = v + -333. Suppose 5*w = 3*r - d, -3*r + 413 - 110 = w. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - 12 - (400 - 397)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.8 times -35.73\nAnswer: -28.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -4*w**3 + 11*w**2 + 31*w - 13. Is n(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2999)\/(-2)*(2 + -2 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 2715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the third derivative of h**4\/24 - h**3\/3 + 4*h**2. Suppose -29*d = -3*d - 78. Let k be l(d). Which is the nearest to -1?  (a) -4  (b) 5\/4  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 26593702 to the nearest integer?\nAnswer: 5157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3316169971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 42 and (-396)\/(-15)*(-80)\/(-32)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -315*u + 755 = -1765 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.5 + 2.5. Let d be 12\/15*(-1 - 4). What is the nearest to 0 in o, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2500 is divided by 179?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2212834.\nAnswer: 2, 13, 85109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 15227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25464, 25446, 25430, 25416, 25404, 25394?\nAnswer: 25386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.21 and -0.0485775222?\nAnswer: 0.2585775222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 2*b = -j + 165, -5*j - 800 = -5*b. What is the units digit of 3 - 1 - (j - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 181170\/(-12) + (-2)\/(-4). Let w = 40398 + s. Suppose -1615301 = 3*a - w. Round a to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -812613 greater than -4063068\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u + 9*u - 15. Let j be 19\/u - 5\/15. Suppose -306 = -j*n - 3*n. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*y**3 + 527217 - 527217.\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-5*f + f + 2*f)*(-3 + 0 + 2) + 1 + 3*f - 1)*(176*f - 224*f - 252*f - 154*f) as y*f + n*f**2 + q and give n.\nAnswer: -2270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2240879\/12 - -28126399\/132. Let j = b + -26334. What is the common denominator of j and 91\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 407\/44*(20 + (-12)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-16 - 309\/(-18))\/(-7). Sort -0.9, 4, u, -22 in ascending order.\nAnswer: -22, -0.9, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153)*-1*-5 - sqrt(153))\/(sqrt(99)\/sqrt(176)))**2 + 3.\nAnswer: 4355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6.6 + -46.6. Let r = 40.3 + w. Sort r, -0.3, -6 in decreasing order.\nAnswer: r, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssxlzsssqsssql. What is prob of picking 2 s?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 17673134 to the power of 1\/3, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3\/(-18))\/(2\/(-876)). Let s = 0 + 77. Solve l*z = s*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*p - 1355 - 184. What is the remainder when 293 is divided by p?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 518933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(-1)*(2 - 7). Let u be (-5)\/(75\/6)*-5. Solve s*k - u*k = -3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 181*c**3*n**2*v**3 - 2*c**3*n**2*v**2 + c**3*n**2*v*y - c**3*n*v**3*y + 2*c**3*n*v*y + 5*c**2*v**2 + 5*c**2*v wrt v?\nAnswer: 1086*c**3*n**2 - 6*c**3*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.04 + 0.36. Sort -0.1, 0, w in increasing order.\nAnswer: -0.1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12436 + 12428 - 10*v + 12532 + 3*v - 49824 + 12428.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**2 + 24*p + 108. Let y be r(28). Let v(l) = l**2 - 3*l - 11. What is v(y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/((-22)\/(-187)*17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3a288 (base 11) to base 12\nAnswer: 29397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -1\/6  (b) -2055  (c) -3  (d) -0.87  (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -21*d**3 - 2*d**2 + 3. Let v = -296 + 293. Does 92 divide o(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g - 22. Let r be f(-13). Let h(o) = o**3 + 10*o**2 + 4*o - 5. Let d be h(r). Let z be d\/(-16)*(-2)\/10. Which is greater: -4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 331 + -465. Let d = -134 - c. Is 0 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 1 = 5. Let o be v + 0*3\/6. What is the common denominator of (o\/6)\/((-8)\/(-59)) and -121\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - a - 1, -a - 1 = -2*b - 6*a. Let u be (16\/68)\/b + (-2)\/(-17). Is u at least 17\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (232\/19800 - 22\/495)\/((-6)\/(-10))\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 248, 960, 2154, 3836, 6012, 8688, 11870?\n\"Answer: o**3 + 235*o**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6368 = m + 2156. Let s = 7775408 - 140110717\/18. Let y = m - s. What is the common denominator of 47\/10 and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*z - 4*q - 1, 0*q + 23 = 5*z + 4*q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -5984, -5986, -5988?\n\"Answer: -2*p - 5982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) -4  (b) 3  (c) 1\/6  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.19?  (a) -0.08  (b) 4332  (c) -5  (d) -2  (e) -1  (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -38*i + 39*i + 0 + 1. Let j be d(0). Put -5, j, 3, -3 in decreasing order.\nAnswer: 3, j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + -5 + 3 + 11 + -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 5594, 11379, 17164, 22949?\n\"Answer: 5785*r - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 137591*s - 116900 wrt s?\nAnswer: 137591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + 0 + 6 + (2 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 719445771 greater than or equal to 719445773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 67621.12 millennia?\nAnswer: 811453440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 33*q + 24812 + 26192 - 52624 = 0 for q.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -25373007 + 8982052513\/354. Let w = b + -228\/59. Calculate the common denominator of -43\/22 and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*s**3 + 0*s + 0*s + (0*s**2 - 5*s**2 + 4*s**2)*(-1 + 1 - 2*s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide 984891399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) 1\/3  (c) -1  (d) 4  (e) 2\/3  (f) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 5\/2, 3\/8, -3, 9.63?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -10275 or -10273?\nAnswer: -10273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 - 3. Let u be (2\/b)\/((-1)\/48). Let a be 3\/5 + u\/(-10). Solve a*n + 6 = -9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 663192 to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llfllfl. What is prob of sequence flf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**3 - 4*g**2 - 2*g + 4. Let s be w(-4). Suppose -5*y = -4*c - s, y = -0 + 4. Solve -c*j + 10 = 0, 2*o = -o - 5*j + 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 68976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 343298209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 6020568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, 6636, -0.01, -1, -2\/27 in descending order.\nAnswer: 6636, -0.01, -2\/27, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 25133855?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/24)\/(317\/(-2536)) - (-721)\/273.\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0, -19, 62, -4, 11 in descending order.\nAnswer: 62, 11, 0, -1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3\/10 - -1\/10. Let b = -7\/10 - l. What is the closest to 0.4 in b, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(3388) + -1 + sqrt(3388))*-4 - (-1*sqrt(3388)*-4 - (-3 + -1*sqrt(3388))))**2.\nAnswer: -5148*sqrt(7) + 572653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9486, 19009, 28522, 38025, 47518, 57001, 66474?\nAnswer: 75937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (156\/1200)\/((-10)\/28) and -47\/11.\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 115328 and 881178?\nAnswer: 1802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 259*v**3 + v**2 - v + 2. What are the prime factors of s(1)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 5*y - 252 = 0, -9*n + 448 = -4*n - y. What is the remainder when n is divided by 53?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 - 9*m + 13. Let f be c(11). Suppose 0 = -38*z + f*z + 6. Solve 5*k = 5*v + 20, 1 = -5*v - z*k + 16 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 41*t**2 + 6*t + 12. Let f(u) = u**2 - u - 2. Let d(s) = -6*f(s) - q(s). Let x(c) be the second derivative of 5*c**3\/6 + 3*c + 9. What is x(d(p))?\nAnswer: -235*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b, 1 j, and 1 r when four letters picked without replacement from {j: 2, r: 3, b: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 7119, 14239, 21369, 28515, 35683, 42879?\n\"Answer: n**3 - n**2 + 7116*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 - y**2 + 2*y + 3. Let w(z) = 257*z**3 - 3*z**2 + 265*z + 9. Let o(h) = -3*c(h) + w(h). Find the second derivative of o(k) wrt k.\nAnswer: 1560*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -66528, -133057, -199586, -266115, -332644, -399173?\n\"Answer: -66529*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -30, -74, -116, -156, -194, -230, -264?\n\"Answer: w**2 - 47*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 173 + 212. Let c(m) = m**3 - 33*m**2 + 32*m - 11. Let x be c(32). Is 6\/(-2) + q + x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 1331*b - 121925. What is c(89)?\nAnswer: -3466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1\/577 - 117121\/5770. Is -21 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the second derivative of 11*k**5\/30 - 10*k**3\/3 + 16*k**2 - 19*k. Let f(p) be the first derivative of c(p). Differentiate f(x) with respect to x.\nAnswer: 44*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*r + 29*r - 27220 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 + 12*j**2 + 11*j + 2. Let k be u(-11). Suppose -3*b = k*w + 8, w - 2 = 5*w - b. Calculate the smallest common multiple of 12 and (6\/3 + w)*10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -179*w = -179*w + 5*o - 10, 84 = 4*w + 2*o for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + -1332232?\nAnswer: -1332300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000003445211 rounded to 7 decimal places?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 + 12*m - 9. Let y be n(11). Find the third derivative of -4*z**3 + y*z**2 + 0*z**3 - 5*z**3 wrt z.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -111220023310 (base 4) to base 11\nAnswer: -3222740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/469 and -38\/469.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12 and 1477428?\nAnswer: 1477428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -16538  (b) 22  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(171)\/(sqrt(36)*-3).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/(-4)*(-25 - (-5005)\/175).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8049875 nanometers to micrometers.\nAnswer: 0.0008049875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2231 = -33*t + 10*t. Which is the biggest value?  (a) -3\/2  (b) 0.2  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*(((x\/(x**(1\/3)*x))\/x)\/x)\/x*x*x)\/((x**(-4)\/x)\/x*x)*(x**0)**(3\/11) assuming x is positive.\nAnswer: x**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -324630*p**3 + 649231*p**3 + 3*p - 324621*p**3.\nAnswer: -20*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + 17 - (21 - 4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = s - 607, 4*p + 4*s = -70 + 546. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0*(30\/(-12))\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - (1 - 3) - 2) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13 and 132522299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 8529, 8521, 8507, 8487?\n\"Answer: -3*l**2 + l + 8531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*h - 12*h - 11*h + 30*h + 196 - 1972.\nAnswer: -h - 1776","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the second derivative of -1\/18*r**3 - 8*r + 0 + 1\/6*r**2 - 1\/36*r**4 + 1\/60*r**5. Factor a(h).\nAnswer: (h - 1)**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one twentieth of a meter?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 259187 divided by 59.\nAnswer: 4393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + -4 - (16 + -2). Let n = -2 - x. Let a be 58\/4 - (-1)\/(-2). Is n != a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of -11*u**3\/3 + u**2 - 2*u + 27. Let n(y) = -45*y**2 + 9*y - 9. Let j be (5 + -50)*(-23)\/115. Give j*k(z) - 2*n(z).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 6*t + 32116. Let k(j) = j**2. Determine z(k(n)).\nAnswer: 6*n**2 + 32116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 88*q + 14. Let g(l) = 5143*l**2 - 5*l. What is h(g(p))?\nAnswer: 452584*p**2 - 440*p + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 33\/(-99)*0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2163899823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 319811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mtim when four letters picked without replacement from mkkytiykiykkkikmi?\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -5*j - 1. Let h be (0 + (5 - 2))*-1. What are the prime factors of r(h)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the second derivative of 226*t - 1\/12*t**2 - 1\/60*t**5 + 1\/180*t**6 + 0*t**4 + 0 + 1\/18*t**3. Factor q(j).\nAnswer: (j - 1)**3*(j + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(1 + 1*(sqrt(320)*-2 + 5 + (sqrt(320) - sqrt(320)*1)*6 + sqrt(320))**2) + -3 + -3.\nAnswer: -320*sqrt(5) + 1378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 26\/3517 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*n - 2*t + 3*t + 6 = -5*n, n + 14 = -4*t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -73 - -71.07. Let q = -70.33 - k. What is q rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 27065?  (a) 1  (b) 605  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and -1\/4145 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 4 + 0*v**2 + 0*v**2 + v**2.\nAnswer: v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 145069119*y**2 + 209853074*y wrt y?\nAnswer: 290138238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((h\/(h\/(h**(-1\/6)*h)))**(1\/2))**(-6\/37))**(-1\/12))**16 assuming h is positive.\nAnswer: h**(10\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*r - 58 = -118. Solve -2*p = -r*x - 25, 0*x - 5*x + 5 = 4*p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*q**2*w + 1720*q*w - 65*w - 13 with respect to q.\nAnswer: -4*q*w + 1720*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = -s - 2*p + 74, -5*p = s - 63. Suppose -2*u + s + 13 = 0. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144*y = 149*y - 205. Suppose 3*x = -3, -5*f + 46 = 3*x - y. Let u be (-3 - (-1 - 1))*-5. Solve -u*a - f = -3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m - 85. Let s(j) = 14*j**2 - 3*j + 3. Let l(i) = 10*i**2 - 2*i + 2. Let n(t) = 3*l(t) - 2*s(t). What is n(x(f))?\nAnswer: 2*f**2 + 340*f + 14450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 52 + -113. Let y = b + 64. What is the highest common divisor of 21 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (431 + 246 - 159)*(f + 0*f + f - 4).\nAnswer: 1036*f - 2072","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.6593717 to one decimal place.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l - 4*l + 1 - 2*l)*(-73 - 88 - 117).\nAnswer: 2224*l - 278","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of -a**6\/120 - 7*a**5\/60 + a**4\/24 + 7*a**3\/6 - 403*a**2. Factor w(v).\nAnswer: -(v - 1)*(v + 1)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0254 * -0.12\nAnswer: 0.003048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*q**2 + 57124720*q + 571246700.\nAnswer: 5*(q + 10)*(q + 11424934)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmmmbrmmmm. Give prob of picking 4 m.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 2, -4, 1087, 1, -1 in decreasing order.\nAnswer: 1087, 2, 1, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 34 - 30. Suppose -5*j + 0 = -2*m + 4, -2*j - h*m = -8. Suppose 5*f + 12 = s + 10*f, j = f. What is the highest common divisor of 48 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72)\/(sqrt(216) + sqrt(6)))\/((sqrt(66)*-2)\/sqrt(11) - sqrt(6) - (sqrt(6) + 5*sqrt(12)\/sqrt(2))).\nAnswer: -sqrt(2)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2446, 2444, 2434, 2410, 2366, 2296, 2194, 2054?\nAnswer: 1870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 563000401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 + 7. Let u be l*(-2 + (2 - 1)). Sort u, -1, 4 in descending order.\nAnswer: 4, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 693*j**2 - 26*j + 169. Let t(w) = 1037*w**2 - 40*w + 260. Let x(v) = 20*k(v) - 13*t(v). Let r(l) = -3*l + 3*l + 2*l**2. Give x(r(c)).\nAnswer: 1516*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 + -2. Suppose -x + 2 = 8*i - 3*i, 5*x - 50 = -j*i. Suppose 16 = -7*y + 11*y. Calculate the highest common factor of y and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + 10010100?\nAnswer: 10001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 77 divide 456533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that 18*u**4 - 192*u**3 - 598*u**2 - 548*u - 160 = 0.\nAnswer: -1, -2\/3, 40\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -140246 (base 10) to base 13\nAnswer: -4bab2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes after 1:50 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/14 - (-351)\/182)*46. Suppose -5*q = -3*o - o - d, 5*q + 3*o = 97. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5165 take away 9?\nAnswer: -5174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -654*a**3 + 26*a**2 - 51*a - 17. Let m(p) = -218*p**3 + 9*p**2 - 16*p - 6. Let w(b) = 6*j(b) - 17*m(b). Find the third derivative of w(c) wrt c.\nAnswer: -1308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15 + 20. Let k be ((-7)\/(-3))\/((-3)\/(-9)). Solve k = -4*p - u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1100111101100 (base 2) to base 3\nAnswer: -100002210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4087415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*k + 14. Suppose 0*w - 5*w + 35 = k*z, -5*w = -z - 10. Sort -1, w, -3.\nAnswer: -3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 131 is divided by 63.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4749985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9 - 34. Let t(l) = l**3 + 25*l**2 - 6*l - 20. Let i be t(f). Suppose -i = -8*d - 42. Solve d - 3 = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24 + (-1 - 1 - 13398\/406)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 146284596 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 11 + -13313157436215\nAnswer: -13313157436204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 11*t**2 + 5*t - 33. Calculate h(3).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 + 3*j + 4. Let y be c(-3). Suppose -y = 4*g - 12. Solve -4*k = -g*i - 18, 6 = 5*k - 4*k - i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d. Let o be m(-5). Suppose 10*x = o*x + 45. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 774263 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-8)*6)\/(2\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(24)\/(1*sqrt(8)) - (sqrt(363) - (-1 + sqrt(363) - sqrt(363))).\nAnswer: -10*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 7\/2 + (-2)\/4. Suppose 5*q - 24 = t, -5*q + 15 = -2*t - 8. Put q, 4, o in decreasing order.\nAnswer: q, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhaw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - p + 0)*(-168*p**4 + 95*p**4 - 236*p**4) + 54 - 54 - 3*p**5.\nAnswer: 306*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the third derivative of p**4\/12 - p**2. Let y(n) be the third derivative of n**4\/24 - n**3 - 244*n**2. Calculate y(a(v)).\nAnswer: 2*v - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4620)\/175*(117\/(-12) + 11)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 302\nAnswer: -5\/302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 61 and 20924525?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*h - 3*h + h**5 - 2*h**2 + 2*h**2 + 3*h**5 + (5*h**2 - 84 + 84)*(0*h**3 + 0*h**3 + 2*h**3).\nAnswer: 14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 3*j**5 - j**4 - j**3 + j**2 + j. Let r(q) = 24*q**5 - 35*q**4 + 32*q**3 - 9*q**2 + 6*q. Let k(y) = -6*n(y) + r(y). What is h in k(h) = 0?\nAnswer: 0, 5\/6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z**5 + z**3 - 16 + 16 - 2*z**2)*(2 - 4 - 3 - 5 + 3 + 1 + (3 - 1 + 0)*(-2 + 4 - 1) - 1 + 2 - 2).\nAnswer: -10*z**5 - 5*z**3 + 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (300\/125)\/(6\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -27 divided by 147\nAnswer: -9\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(-4) - 31\/(-4). Suppose t = 14*r - 10*r. Let i be r\/(-17) - (-140)\/34. Solve 4*n = i, -3*b + 3*n - 13 = 2*n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -2*k + 5, t - 5 = -k - 2*t. Suppose 2*v - 6 = -0. Find the third derivative of -l**3 - v*l**2 + k*l**3 + 6*l**2 wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -50\/13899 and -83\/4068.\nAnswer: 166788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 153719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**2 + 51*v + 172. Let b be j(-48). Suppose -2 = 26*y - b*y. Put y, -5, 14 in decreasing order.\nAnswer: 14, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**2 - 7100223*u - 28400844.\nAnswer: -3*(u + 4)*(u + 2366737)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 + 3*y**2 + 6*y + 7. Let t be s(5). Suppose -80 = 4*b + 6*b. Let o = b - t. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = n - 3*t, -5*t = n + 17 - 33 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 675, 3.\nAnswer: 3, 5, 675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**2 - 4*j + 1. Let a(y) = -y**2 - 4*y + 2. Let k(z) = -6*a(z) + 5*t(z). What is k(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 - -10. Calculate the remainder when 30 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 206441?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 11 = -5*l, -2*u + 0*u = -3*l + 5. Let q(w) = 2*w**2 - 2 - 7*w - w**u + 4 - 6. Calculate q(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1246.1 + 1106. Let s = -28 + 161. Let v = k + s. Round v to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.05 + 0.1. What is a rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38681.072 rounded to the nearest one thousand?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.0269 - -215.0269. Let f = 209.28 - u. Round f to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 487389.8 milligrams to kilograms.\nAnswer: 0.4873898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -464 = -132*m + 136*m. Let j = m + 117. Solve v - j = -3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**2 + 18. Suppose -o + 32 = -0*o - 4*m, 41 = 3*o - m. What is the least common multiple of o and w(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -1249.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -3*f + 13. Determine p(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xkxhhkxk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*r**2 + r**3 + 0*r**3 - 7*r**3.\nAnswer: -6*r**3 - 28*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of -271*k**3\/6 + 3*k**2 - 17*k. Is d(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8.3 + 1.4. Let v = 7 + g. Let r = -1625\/9 - -181. Which is the third biggest value?  (a) r  (b) 0.2  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/(u*u*u\/(u*u*u*u**(-7)*u)*u*u)*u)\/u)\/u*u\/(u\/u**(-1\/3))*u)**(-28)\/((u\/(u*u**0*u))**(-5\/4)\/(u**(1\/2))**30) assuming u is positive.\nAnswer: u**(2629\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -383*f + 2 - 354*f - 358*f + 747*f.\nAnswer: -348*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + h**3 - 2*h**4 - 3*h**4 + 3 in the form v*h**4 + x*h + g*h**3 + p*h**2 + y and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -828 = -2*b - 170. What is b rounded to the nearest ten?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 370759 to the power of 1\/2, to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -25328 or 839?\nAnswer: 839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**3 + 20*j**2 - 74*j - 29. Calculate p(-23).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 80066471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 - -3. Let t = -1 - -2. Let q = 148 + -2514\/17. Which is the closest to t?  (a) -0.1  (b) q  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1185883 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/2519000 and -93\/4580.\nAnswer: 2519000","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4101191*n - 2236140 with respect to n.\nAnswer: -4101191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 divided by -265899?\nAnswer: -9\/88633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*z**4 - 4*z**2 - 2*z + 41?\nAnswer: -84*z**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 42.934 and -0.1?\nAnswer: 43.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -160, -136, -100, -40, 56, 200, 404, 680?\n\"Answer: 2*g**3 - 6*g**2 + 28*g - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zbz when three letters picked without replacement from bbbzbuuuubbuuzbzbbz.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.019 - 0.999. Let t = 0.02 - w. Put t, 2, -0.4 in decreasing order.\nAnswer: 2, t, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8497 * -2.\nAnswer: 16994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -585104.88 to the nearest 1000.\nAnswer: -585000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 44*d - 50 + 682 + 248 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 4*h + 12 + 2, -4*h + 2 = 3*g. Let j(k) = -4*k - 5. What is j(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-8)\/36 + (-210)\/27. Let j(n) = n**3 + 10*n**2 + 3*n - 3. What are the prime factors of j(a)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1241370 is divided by 413767.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, -2, 4.\nAnswer: -2, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(24)\/(sqrt(96)\/sqrt(8)) - sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 97216, 96995, 96640, 96151, 95528, 94771?\nAnswer: 93880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4*(-3 + 90\/24). What is the second derivative of 12*t + 222*t**o - 63*t**4 - 222*t**3 wrt t?\nAnswer: -756*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -2707*m + 2056. Let c be v(-22). Round c to the nearest one thousand.\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11253513109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 4*f + 16. Let a be n(-4). Suppose 3*j = -p - 1, j + a = -1. Factor 0*y + 1\/6*y**4 - 1\/3*y**p + 0*y**3 + 1\/6.\nAnswer: (y - 1)**2*(y + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -518*b + 257*b - 190*b**2 + 261*b as k*b + q + i*b**2 and give i.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 779.3 + -0.2?\nAnswer: 779.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = s - 5, 77*j + 7*s - 25 = 82*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2053 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20 - -29. Let w = 11 - n. Find the third derivative of 8*d**w - 3*d**3 - 2*d**2 + 4*d**3 wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 179 is divided by 55.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 755799 divided by -6809?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 389 - 393. Let k(p) = 3*p + 11. Determine k(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*g - 1037 + 1133. Suppose -n + 44 = 3*n. Suppose g*f - n*f - 242 = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-3 + ((1 + sqrt(75))*-5 + 0 - 5*(sqrt(75) + 0)*-1))**2.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 634.975+-128338\nAnswer: -127703.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 5*w + 1. Let -7 + 14 - 6 - 12*t + 36*t**w = 0. What is t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d - 15*d = -4*d. Solve 0 = -5*i + 5*c - 20, -3*i - 2*i + c = d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*m**3 - m**3 - m**3)*(-2 + 1 + 0) + 4 - 3*m**3 - 117*m + 117*m.\nAnswer: -5*m**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 1. Let w(g) = 4*g - 108. Let n(z) = w(z) + 4*y(z). Let v(r) = -2*r**2. Give v(n(b)).\nAnswer: -32*b**2 + 1664*b - 21632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes before 2:02 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 4:32 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 7\/2 + (-8)\/(-16). Let f be 1\/(-2) + (-931)\/(-38). Solve -o*j + f - 8 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the first derivative of y**3\/3 + 8*y**2 + 16*y + 21. Let v be m(-15). Let b be (v + 0)*2\/2*-1. Let x(u) = 7*u. Determine x(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 419719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, l: 3, q: 3, w: 1, t: 3}. What is prob of sequence lw?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 40*u**3 - 122*u**2 + 92*u - 16 = 0. Calculate u.\nAnswer: 1\/4, 4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*q*u**2 - 4*q*u + 2*q + 240 wrt u?\nAnswer: 10*q*u - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -9) + -4 - 5 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 1 = -2*k, 3*x - 25 = -2*k + 18. Suppose -5*d + 7 = -4*d. Let g = x - d. Solve v = g*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaaaapap. Give prob of picking 2 p and 2 a.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 156053451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1544 - -1549. Solve -r*z - 5*f = 15, 8*z - 3*z - 5*f - 5 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 15\/(-9)*102\/(1*-1). Suppose -o*x = -165*x + 40. Let n(g) = g**3 + 7*g**2 - 7*g - 10. Determine n(x).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -76 (base 10) to base 14\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 26080 - 3?\nAnswer: 26076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:49 PM and 4:53 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 738047.\nAnswer: 23, 32089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59015 is divided by 108.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 5, o: 8}. What is prob of picking 1 o and 1 v?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.32 + -0.32. Which is the closest to t?  (a) 0.2  (b) -2\/3  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1348634171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18 + 185*t + 5 - 23 to the form f + y*t and give y.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z**3 + 3*z**3 + 2*z**2 + z**2 + (z**2 - 4*z**2 + 2*z**2)*(-3*z + z + 3*z))*(-9 + 3 - 2).\nAnswer: -8*z**3 - 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -940246 or -940228?\nAnswer: -940228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v + 2*v + 0*v)*(4 - 2 - 1)*(12*v**2 - 9*v**2 + 11*v**2).\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the third derivative of i**5\/4 - 7*i**4\/24 - 763*i**3\/3 + 28*i**2 + 12. What is the derivative of z(q) wrt q?\nAnswer: 30*q - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -725697, -725692, -725683, -725670, -725653, -725632?\n\"Answer: 2*g**2 - g - 725698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -283209 times -172?\nAnswer: 48711948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -82, 1, -4 in ascending order.\nAnswer: -82, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 34, 45, 56, 67, 78, 89?\n\"Answer: 11*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -b97 - -1?\nAnswer: -b96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + (sqrt(272) - -3*(-1 + sqrt(272) + sqrt(272))) + (sqrt(272) - (sqrt(272) - (-5 + sqrt(272)*-1))) + -4)*-1*-1 + 4)**2.\nAnswer: -432*sqrt(17) + 9873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**3 - 8*s**2 + 19*s - 2. Let r(f) = -f**2 - f - 2. Let n(k) = -p(k) - 5*r(k). Calculate n(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 312160 = -424*r + 12377735 + 128665. Does 50 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 157 - 395 = 2*v, 220 = 4*k + 4*v. Solve -k + 86 = 7*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, 3, 8, 0, 1.2, -0.8, 1\/2 in decreasing order.\nAnswer: 8, 3, 1.2, 1\/2, 0, -2\/9, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5)\/25 + -2*(-16)\/10. Let j(w) be the second derivative of 0*w**2 - 3*w - 1\/6*w**c + 0. Let b(k) = -5*k**2. Calculate b(j(f)).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*-931689\nAnswer: 93168.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -z + 16*p - 13*p, 3*z - 3*p = 24. Let x = -1 + -3. Let v be 90\/8 + (-3)\/x. Solve -2*y = z*y + v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -172*d**2 + 0*d**3 + 261*d + 172*d**2 - 23*d - 8*d + d**3.\nAnswer: d**3 + 230*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 2*z**3 + 120*z**2 + 18*z + 185. Determine j(-60).\nAnswer: -895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 623 = 3*a - 5*a, c - 120 = -5*a. Let h = 197 - c. What is the highest common divisor of h and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -2*d**2. Let p = -10 + 15. Let w(u) = 5*u - 2 - 3 + p. Calculate i(w(n)).\nAnswer: -50*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x = 2*x - 220. Let p = 47 + x. Find a such that -9\/5*a**3 + p*a**4 + 0*a + 0 - 6\/5*a**2 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15 - 33. Is 6150\/14 + g\/63 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1026 + -5?\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 2*z + 9. Let b(o) = 6*o + 27. What is 2*b(n) - 7*p(n)?\nAnswer: -2*n - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -47*k**2 + 44*k + 8. Calculate v(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o\/(o*o\/(o**(-1)\/o)))\/o)\/o)**(27\/7)\/(o\/(o**(1\/2)*o))**42 assuming o is positive.\nAnswer: o**(39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 945*n - 49118. Calculate u(52).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1737 and 4471231?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.477437ml in litres?\nAnswer: 0.009477437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 16235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 4*h = -9, -l - 2*l + 6 = 3*h. Suppose 0 = 4*w - q - 4, -5*w - q = -0*w - 14. Suppose -3 = -w*g + 1. Is l > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2052\/(8664\/76)*(-50)\/135.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 160 and 12240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1896153*a**3 - 2592642*a?\nAnswer: 11376918*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3669053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -162 = -8*g - 106. Let t(i) be the second derivative of 0*i**4 + 0 + 6*i + 0*i**6 - 1\/210*i**g + 0*i**2 - 1\/30*i**3 + 1\/50*i**5. Factor t(u).\nAnswer: -u*(u - 1)**2*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (16\/(-28))\/(-2) - (-2)\/(-7). Let c(y) = y**2 + 2*y + 2. Let j(s) = s + 4. Let a be j(-6). Let f be c(a). Solve f*k - g = 0, v = k + g - 2*g - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 136 divide 422005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zttttoom. What is prob of picking 1 t, 1 z, and 1 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1520*d - 6693*d**2 - 1520*d.\nAnswer: -6693*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = n + 12. Let f(h) = h**3 - 5*h**2 + 4*h - 3. Let p be f(5). Suppose 25 = -0*i + 5*i - 2*g, 0 = -i - n*g - p. Let y(r) = -r + 2. Give y(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = 3*h - 16, 0 = 5*h - 0*s - 4*s - 2. Suppose 0 = h*n - 6*n. Suppose 5*c - g - 33 = n, 7*c - 2*c = -2*g + 24. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -475 divided by 25.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 6, w: 5, k: 2, e: 1, f: 2, v: 3}. What is prob of picking 1 f and 1 p?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 189193670 to the nearest integer?\nAnswer: 13755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 25 = -83. What is the greatest common divisor of 90 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -8, 3\/646 in decreasing order.\nAnswer: 3\/646, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + -2 + -6*(sqrt(1700) + 0))*1)**2.\nAnswer: -240*sqrt(17) + 61204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 315.0619g in micrograms?\nAnswer: 315061900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4618, -9486, -14368, -19270, -24198, -29158, -34156?\nAnswer: -39198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -55031 divided by 182.\nAnswer: -55031\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3, -3, 1, 21, 63, 133, 237?\n\"Answer: z**3 - z**2 - 10*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -522*f**3 - 450*f wrt f?\nAnswer: -3132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (14\/6 + 0)*(-2)\/35. Which is the closest to -1.7?  (a) m  (b) -2  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fzzzfzffzfzzzz. What is prob of picking 2 z and 1 f?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -6*i**2 - 5*i**3 + 3*i**3 + 3 - 3*i**3. Let f(k) = -2*k**3 - 2*k**2 + 1. Calculate 11*f(t) - 4*o(t).\nAnswer: -2*t**3 + 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -61 - (36\/(-33))\/((-8)\/(-44))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23 (base 12) to base 14.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*o + 3761 - 3801 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -22911282 greater than or equal to -160378980\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/(-994))\/((24420\/259)\/(-110)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 18 divided by -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -58 - -108. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the third derivative of -m**8\/168 + 359*m**7\/210 - m**6\/120 - m**5\/4 - m**4\/12 - 71*m**3\/6 + 9128*m**2. What is the third derivative of d(w) wrt w?\nAnswer: -120*w**2 + 8616*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3, 0.38, -174, 5?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 1 + 3)*(-4 + 10 + 7)*(-44*a + 19*a + 28*a) in the form y + q*a and give q.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 48 and 327365484?\nAnswer: 1309461936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -22.0499 + 0.0499. What is the closest to o in -2, 3, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -29*h**2 + 60*h**2 - 34*h**2. Suppose -3*c - 6 = -6*c. Let g(v) = -c - v**2 + 2. Give k(g(b)).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v + 30. Let a be q(12). Calculate the greatest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 1 + 1. Factor -2*o**3 + 2 + 9*o**3 - 14*o**w - 5*o**2 + 2 + 8*o.\nAnswer: (o - 2)*(o - 1)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2*3\/((-6)\/(-31)). Suppose -2*m = 205 - 7. Let k = 131 + m. Which is greater: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 42 and 2232566.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -16 + 25 + -6 + (-15 - -25)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jwjwjjjw. What is prob of picking 2 j?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 20 = -3*x. Suppose -3*i - x*o + 6 = 0, -i + 10 = 4*i - 2*o. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes before 6:37 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 267 - 1462 = -5*v. Suppose 0 = -4*a - j + v - 34, -95 = -2*a + j. Does 23 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12739752 and 531.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/(d\/(d**(1\/2)*d)*d)*d)**(4\/13)\/(d**17\/(d\/(d\/(d**(3\/2)*d))*d)) assuming d is positive.\nAnswer: d**(-331\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 20001 - 17025. Calculate the highest common factor of 32 and z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4447847739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 5, y: 11}. Give prob of sequence qqyq.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 4*q + 2*u, -3*q = -u + 1. Let g = q - -4. What is the highest common divisor of 24 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 10:29 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23774293 - 23774293 - 7*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*b - 57 - 3. Let a(n) = 15*n**2 - 17*n - 33. Is a(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -179*d**2 - 2*d**4 + 8*d**3 - 177*d**2 + 357*d**2 - d - 1 to w*d + a*d**2 + v + q*d**3 + g*d**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -92\/25, 0.1, -2182, -0.3, -2?\nAnswer: -92\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 104 and 4018456?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (87 + -19)*(-50 + (-5771)\/(-116))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/8, -2\/7, -2\/157, 0.2, 8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -38 + -4536?\nAnswer: -4574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12386588 and 498?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + y**2 - 9*y - 6.\nAnswer: y**2 - 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (144\/(-70))\/((-606)\/(-1515)) - (-10)\/2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -8*q**2. Let f be y(-4). What is the units digit of ((-162)\/(-4))\/((-48)\/f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -40 by -18.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.2, 8.8, 2\/11, 0.3, 364?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2, -1, -4, 5, 13, 827 in increasing order.\nAnswer: -4, -2, -1, 2, 5, 13, 827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 12128 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -3, 1599 in descending order.\nAnswer: 1599, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-15)\/75 + 456\/5 + -1. Suppose 0 = -95*m + l*m + 20. Solve 7*j - m*j - 9 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) -4\/3  (c) -2\/29  (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24*2)\/((-7952)\/(-5964)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1668785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f - 2*f + 13811. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -231444000 (base 7) to base 6\nAnswer: -1224134340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4397 + 17334. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -254, -507, -758, -1007, -1254?\nAnswer: -1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 5*a = 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -14*o**2 - 523*o - 165. Determine b(-37).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*t**2 - 2*t - 47*t**2 + 2*t.\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99221097.\nAnswer: 3, 19, 1740721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 6:48 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the second derivative of -b**5\/30 + 55*b**4\/18 - 87*b**3 + 243*b**2 - 31*b + 1. Factor x(c).\nAnswer: -2*(c - 27)**2*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c - 2. Suppose -4*j + 6 = 62. Let h = j - -8. Let r = 32 + -29. Let p(b) = -1. Give h*p(q) + r*z(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 29 and 209351?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 476 + -475.999997464. What is g rounded to seven decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -4*d + 8, 4*z - 4*d - 25 = -d. What is the remainder when 15 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**3 + 11*b**2 + 10*b - 4. Let f be a(-10). Let i(y) = y**2 + 5*y. Calculate i(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*v + 14*v - 36. Which is greater: v or 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 divided by 4554401.\nAnswer: 11\/4554401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 1510.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 269, 270, 271, 272, 273, 274?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1496837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2016357882?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -27 - -116. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 38, 71, 104, 137?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 367 + -368 - (6 + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -930, -898, -818, -666, -418, -50, 462?\n\"Answer: 4*f**3 + 4*f - 938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 183004379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7957135, -7957137, -7957141, -7957147, -7957155?\nAnswer: -7957165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w**2 + 3*w**2 - 3*w**2)*(-3*w - 2*w + 7*w + (3 - 1 - 3)*(3*w + w - 3*w) + 3*w - w + w).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3755 and 8010917?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 260 and 1352?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(539) - (1 + sqrt(539))*3) + sqrt(539))*6)**2.\nAnswer: 1512*sqrt(11) + 19728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1754 is divided by 441.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -548.18 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-12)\/(-10))\/(2\/10). Let b = c + 1. Let s(h) = -h**2 + 9*h - 9. Let y be s(b). Let o(t) = 2*t - 6. What is o(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1153 - -1981. Suppose 341*j + y = 343*j. Does 39 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2.25 and 115.4.\nAnswer: 259.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 67826504 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6\/1903 - -67409\/255002. What is the common denominator of j and -81\/14?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2514844, 5, 8 in decreasing order.\nAnswer: 8, 5, -4, -2514844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 33 - 31. Let k(y) = -y**3 - 4*y**2 + 2*y + 4. Let z be k(-5). Solve z - 5 = 2*u + j*n, -4*u + 24 = 3*n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the third derivative of -z**6\/120 - z**5\/60 - 9*z**2 - 2*z. Factor s(j).\nAnswer: -j**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the third derivative of -b**6\/72 - b**3\/6 + 8*b**2. Let t(r) be the first derivative of h(r). Let m(q) = -3*q**2 - q**2 + 5*q**2. Calculate m(t(a)).\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -181*s + 4550. Solve 53 + 97 = -s*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5396597353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/(28\/3)*45\/((-2250)\/280)?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x + 1 + 2. Suppose -u = -2*i + x - 2, 5*u - 3*i - 9 = 0. Suppose m + u = 4*m. Is -1\/3 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o, 1 r, and 1 w when four letters picked without replacement from wrwrrrwrorrrworwwrrw.\nAnswer: 77\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/2, -30, -14, -132, -7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2450 - 2447. Sort g, -0.5, 58\/3, -0.4 in decreasing order.\nAnswer: 58\/3, g, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8176217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of h**4\/24 + 19*h**2\/2 - 15. Let z(n) be the second derivative of l(n). Let q(b) = 9*b**2 - 3. Calculate z(q(g)).\nAnswer: 9*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 154175, -22, 2\/33?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 102, 145, 198, 267, 358?\n\"Answer: n**3 - n**2 + 39*n + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2971 + b?\nAnswer: -2962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-131 + 131 + 7*m)*(2*m**3 - 4*m**3 + 0*m**3 - 3*m**3 + 2*m**3 - 5*m**3 + (3 - 1 - 3)*(-2*m**3 - m**3 + 2*m**3)).\nAnswer: -49*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -233 and 0.044.\nAnswer: -10.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -4\/5  (b) -0.003  (c) -4  (d) 5  (e) -3  (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6013 + 3280. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2.899 and 0.01.\nAnswer: 2.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 5 + 6 + 6 + 8)*(7*k - 16*k + 122*k) to c*k + l and give c.\nAnswer: 2712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -0*d - 385. Suppose f + 4*b + d = -4*f, 0 = -2*f - b - 29. Let i = f + 18. Let z(x) = x**2 - 3*x - 3. Calculate z(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 + 1. Suppose 2*w - 30 = d*k, 4*w + 66 = -0*k - 5*k. Round k to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 136710 = 5767*l + 89402 + 427930 for l.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 17948 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -5, -361, -142, 0 in decreasing order.\nAnswer: 6, 0, -5, -142, -361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 173 + -172. What is the highest common factor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 59 (base 12) to base 16\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -3 - ((30 - 31) + (-1 - -14))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 82*s + 39. Let o(d) = -65*d - 40. Let a(n) = -4*k(n) - 5*o(n). Give a(17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 - 8*h**2 + 13*h + 34. Calculate the remainder when w(-10) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 u, and 2 p when four letters picked without replacement from nnpbnpbbnnububbbb.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 - 7*u**2 + 22*u - 93. Let l be q(6). Let t be (1 + -3)*46\/4. What is the fourth biggest value in t, l, -3, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + u + 3 = 3*f, -5*u + 10 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-1*sqrt(65))\/sqrt(5).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 110*h**3 + 3*h + 3*h**2 - 110*h**3 + 18 + 4*h**4 to the form l + j*h**4 + a*h + p*h**2 + z*h**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*w + 32*w = 128. Solve 4*r + j + 25 = -4*j, 0 = 2*j + w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 67*n**2 - 8*n - 16. Let q(z) = -552*z**2 + 63*z + 132. Give 33*h(s) + 4*q(s).\nAnswer: 3*s**2 - 12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:02 PM and 5:00 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9335035 by 1867007.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -2*f - 3. Let c(x) = -3*x - 4. Let b(m) = 4*c(m) - 5*d(m). Is b(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 1359200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2\/148665 - 297284\/3419295. Let t = 3771\/5 + -751. Sort p, 1, 3, t in ascending order.\nAnswer: p, 1, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 465796.5 millennia in months?\nAnswer: 5589558000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -6684.\nAnswer: 1\/2228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 298.1655m in nanometers?\nAnswer: 298165500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2199 and 91311.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 466007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -375.313 - -6.233. Let z = -362 - v. Let l = -7 + z. What is l rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26997745 and 2139.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 77*r**2 - 16*r. Let t(p) = -19*p**2 + 4*p. Determine 2*k(w) + 9*t(w).\nAnswer: -17*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*x + 5*x - 5 = -5*j, 2*j - 5*x = -13. Suppose 3*k = 24 - j. Solve -4 = k*r - 7*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-6)\/5)\/((-3)\/10). Find the common denominator of 2 - u - (11 + 1) and 53\/(-4) - 2\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 99685.68 hours?\nAnswer: 5981140.8","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is -224 divided by -16?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2\/(-22))\/(-1))\/((-5)\/5)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8875345331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 560 and 2835.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 22 = 2*c, 41 = 5*o - 4*c + 17. Solve -7*f + 4*f = -4*b - 12, 5*b - o*f = -16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 115*t - 175*t + 118680. Is t a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29966, -59929, -89882, -119825, -149758?\nAnswer: -179681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 2 + 4 = 0. Let n = z + 6. Solve -30 = 5*x - 0*x + 5*j, 3*x - 17 = n*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2220121000 (base 3) in base 9?\nAnswer: -86530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41\/(-56) - (376\/(-64) - -6).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -42 + 43. Let j be (5\/(-2))\/(p\/6). Let h be (-30)\/12*24\/j. Solve 4 = -h*q + 6*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 5385888, 10771787, 16157686?\n\"Answer: 5385899*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 181657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*t - 22*t = -3767820. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*x = -12*x - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -2*z**2 + 2*z**2 + 26*z**3 - 59*z**3 + 2 - z + 32*z**3 + 2*z**2. Let y(d) = -d**3 + 8*d**2 - 6*d - 4. Let n be y(7). Calculate h(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -19*c**2 - c - 12. Let q be m(8). Let o = -858 - q. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes before 10:47 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4121\/317)\/(((-2)\/(-2))\/(-1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -10 - -18 - (162\/(-7))\/(-3). Which is bigger: o or 3\/155?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.346 - -0.256. Put -3\/5, -2, 0.4, t in ascending order.\nAnswer: -2, -3\/5, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -37.8 - -38. Let y = -5.5 + 1.5. Which is the second biggest value?  (a) y  (b) 2  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 143\/342 and -61\/2568.\nAnswer: 146376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1570 and 1640.\nAnswer: 257480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*o = 41*o - 87656. Suppose 11*h - 31274 = -o. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((79 - 79 - 5*n)*(-5 - 4 + 6) - 2*n + 0*n + 0*n)*(-3 + 3 + 2*n)*(-3 - 4*n + 3) to f + o*n + l*n**3 + r*n**2 and give l.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -702640 at least as big as -702677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11988.2 - -11988. What is the fourth biggest value in -4, l, 0.5, 5, 13.24?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28.9036 times -29\nAnswer: -838.2044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -112 + 536*s**2 + 112 + 140*s**2 in the form o*s + b*s**2 + t and give b.\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sxff when four letters picked without replacement from {l: 9, x: 1, f: 7, s: 2}.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 48789 and 509574?\nAnswer: 4586166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 114 and 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -1225*t**2. Let c(v) = 3*v - 1. Let n(s) = -8*s + 3. Let r(j) = 3*c(j) + n(j). Give r(g(u)).\nAnswer: -1225*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 42 + -232?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -5*j**3 - 5*j + j**2 + 4*j**3 + 0*j**3. Let n be c(-4). Suppose i - 2 = h - 22, 60 = 3*h + 4*i. Calculate the highest common divisor of h and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 58215588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/(o\/((o\/(o\/o**1))\/o)))\/o)**(-1\/16)\/((o**(7\/2)*o)\/(o\/(o\/(o\/(o*o**0))))))\/(o**(1\/11)\/((o*o**(3\/7)\/o)\/o)*o**6\/(o*o*o**(-4))) assuming o is positive.\nAnswer: o**(-16139\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2364*q = -a + 2363*q - 17, -3*q = -5*a - 45 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = -4*h - 42, 4*n + 2*h = 100. Solve n*g - 16 = 16*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 684531 and 3130?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10906*o**2 + 42*o**3 + 20*o**3 + 97*o**3 - 10906*o**2.\nAnswer: 159*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1122222 (base 3) in base 11?\nAnswer: a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 62 + -17 + (-22 - (35 + -44)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(88)\/(-2*sqrt(8) - sqrt(8)).\nAnswer: -4 - sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 146 times 5223?\nAnswer: 762558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 1405601014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sbtppjt. What is prob of picking 1 t and 1 p?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 3*q**5 - 1599*q**4 + 205770*q**3 + 1939086*q**2 + 5904819*q + 5948721 = 0.\nAnswer: -3, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -296610 or -10974603\/37?\nAnswer: -10974603\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 + 7*p**2 - 7*p + 6. Let l be u(-8). Let g be -6 + (3 + -6)*-1. Let w = g + 12\/5. Put -4\/5, l, w in increasing order.\nAnswer: l, -4\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7762*k**3 - 8*k + 7760*k**3 + 8*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 20*l**2 + 6260*l + 6255. Determine d(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 27 = -7. Let k = d + -1. Suppose -3*w + 0 = -3*h - 3, 0 = -4*w + 5*h. Sort w, 0, k.\nAnswer: 0, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41 - -18 - (159 - 163).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j + 2102*j**2 - j - 2096*j**2 - 2*j - j**5 - 6*j**4 + 6*j - 4*j**3.\nAnswer: -j*(j - 1)*(j + 1)**2*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -10*i. Let o(q) = -8*q**2. Give o(u(b)).\nAnswer: -800*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n + 2*o - 94706, 94685 = 5*n - 13*o + 18*o. List the prime factors of n.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -10 and -1.3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -405 + 423.1. Let j = c - 45.1. What is the smallest value in -3, j, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**26*g*g)**50*(g\/((g\/g**(-26\/7))\/g))\/g*g*g\/(g\/(g*g\/(g**32\/g))*g)*g assuming g is positive.\nAnswer: g**(9928\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -13*i**3 - 4*i**2 + 4. Let x(r) = 208*r**3 + 65*r**2 - 65. Give -65*g(t) - 4*x(t).\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4636\/17187 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/5 < -8\/5361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -116 + -83. Let a = -304.8 - l. Round a to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 18 = -5*d, -5*b = 3*d + 2*d. Let z(j) = 1. Let g(f) = 2*f + 5. Let n(c) = c. Let w(i) = -g(i) + 3*n(i). Calculate d*z(k) + w(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -672, -650, -598, -510, -380, -202, 30, 322?\n\"Answer: w**3 + 9*w**2 - 12*w - 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74372 = 2838*u + 58100 + 12266 for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -2*v - 843 + 6795, 2*c - 4*v - 3968 = 0. Is 62 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5889647 is divided by 433.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 5 + 2 = 0. Let v be (x + -4)*(-24)\/40. Solve -v*d - 4*t = 5, t - 6*t - 10 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 880777667 to the nearest integer?\nAnswer: 29678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21, -37, -75, -141, -241, -381, -567, -805?\nAnswer: -1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -1, 2, -6, 423, -2, -12 in decreasing order.\nAnswer: 423, 2, -1, -2, -4, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*p - 5*p**2 + 4*p - 4*p**2 - 6*p**5 wrt p.\nAnswer: -360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the second derivative of -x**3\/2 - x**2\/2 + x - 49. Calculate n(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 208425 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 + (-9 - ((-9 - -8) + -10)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 3*o - 10 = 0. What is the derivative of 7*s**2 + 4*s**2 - 9*s**o + 7 wrt s?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 39523239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*y - 13 - 3. Let v = -7 + 10. Put y, v, 0 in ascending order.\nAnswer: y, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 79834 to the nearest 100.\nAnswer: 79800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 - (2\/10 + 1524*(-2952756)\/120). What is b rounded to the nearest one million?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2.7  (b) 4  (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 14, 4, 25, -2 in descending order.\nAnswer: 25, 14, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 j when two letters picked without replacement from tjnjqvwq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 + -1. Let l = 0.7 - 3.7. Let v = 204 - 203. What is the nearest to v in l, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 3*p = 23, -6*i + 48 + 32 = 2*p. Let o = 11 + -2. Calculate the least common multiple of o and i.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/2, -1\/5, -192, 450, 2, -1 in ascending order.\nAnswer: -192, -5\/2, -1, -1\/5, 2, 450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 25177 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 18 - -11. Let m = -85\/3 + a. Let u(y) = y**3 + 9*y**2 + y + 4. Let w be u(-9). What is the closest to -2 in -0.4, w, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 19, 239, -0.5, -2\/15, -2 in decreasing order.\nAnswer: 239, 19, 0, -2\/15, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**3 - 3*i**2 + i + 7. Determine z(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7 + 2*k**3 - 7 - 22 + (1 - 2 + 4)*(-3*k**3 + 0*k**3 + 5*k**3).\nAnswer: 8*k**3 - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/280 and -51\/700?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00005295 rounded to 6 dps?\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -63*g**2. Let d(f) = -8*f**2. Determine i(d(r)).\nAnswer: -4032*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**2 + 6*z - 3. Let b be w(4). Let f = -8 + b. Let k be ((-4)\/(-6))\/(2\/f). Is -1 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 129027*l + 93831 wrt l.\nAnswer: 129027","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -2  (b) -585681  (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 24748052851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*-56.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -383 - 382 - 3*u + 767 to the form v + k*u and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*t - 3 + 3 - 25*t to the form l + z*t and give z.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-64)\/48 - 955\/(-717))\/((-12)\/1746) and -29\/2?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o - 6*o - 321. Let u = -73 - o. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22013330 (base 6) to base 4.\nAnswer: 2133332112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -457*q**2*r**2 - 15*q**2*r - q**2 + 636*q*r**2 - 8*q*r + 3*r**2 wrt q.\nAnswer: -914*r**2 - 30*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.12 - 0.042. Let t = -938372.0780199 + 938372. Let m = t + y. Round m to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 44360 and 1475.\nAnswer: 13086200","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: -911*-0.1\nAnswer: 91.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 - 10*p**2 + p - 9. Let u be v(9). Let b = u - -413\/5. Factor -b + 6\/5*m + 2\/5*m**2.\nAnswer: 2*(m - 1)*(m + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -818*m + 44. Let y(l) = -4. What is -2*s(p) - 22*y(p)?\nAnswer: 1636*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -612.6454 - -623.71. Round a to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 24*o**2 + 2*o - 2. Let d(s) = -767*s**2 - 65*s + 65. Let y(a) = 2*d(a) + 65*f(a). Calculate the remainder when y(1) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**2 - 9*w + 2. Let z = 9 - 0. Let m be f(z). Suppose 0 = -h + 6*h - 4*c - 124, -4*c = -m*h + 52. Is h a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and -1744771?\nAnswer: -523431.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 15, 0.4, 3683, 1, -40?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.081 in 48, 2\/285, 5?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11861, -11872, -11899, -11948, -12025, -12136, -12287?\nAnswer: -12484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 1 - 29*f - 5)*(15 - 30 - 3) as z + j*f and give j.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001371 rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 + 2*d + 3. Let p(k) = 332*k**3 - 5*k - 6. What is 2*j(s) + p(s)?\nAnswer: 334*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -6, 6, 2, 4, -2, -210?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -21 + 15. Let u be 105\/(-15)*62\/(-1736). Put j, 12\/7, u in ascending order.\nAnswer: j, u, 12\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes after 10:50 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**2 - 4*t + 3. Is h(6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (-20 - (0 - 5)) - (-6 - -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6 + 2*w - 4 + 75*w**3 + 6 + w**2 - 7 wrt w.\nAnswer: 450*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (360\/(-108))\/((-1)\/(-3)) - -12921?\nAnswer: 12911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -3*r + 26, -2*g = -r + 21 - 9. Solve -t = 4 - r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.01709 rounded to two decimal places?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*b - 5*b + 13*b - b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 1515 + 431. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -196 + 194. Which is the nearest to -2\/5?  (a) s  (b) -0.1  (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 4) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in 0.0315, -0.5, -1\/5?\nAnswer: 0.0315","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.04  (b) -4  (c) 0.4  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 683*k**3 - 3*k**2 + 3*k - 289. Let d(v) = -674*v**3 + 4*v**2 - 4*v + 287. Let y(h) = 3*d(h) + 4*w(h). Differentiate y(t) with respect to t.\nAnswer: 2130*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/6*-2 - (-77 + 10). Let c = f + -51. Suppose -c*i = -14*i - 2. Solve -i + 3 = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 609736 by -43.\nAnswer: -609736\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 45*c - 45*c + 2*c**2. Let m(k) be the second derivative of 5*k**4\/6 - 6*k + 123. What is m(p(v))?\nAnswer: 40*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1068412?\nAnswer: 2, 37, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wfff when four letters picked without replacement from {t: 1, w: 1, f: 12}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -5*o + 38, 8*j = 4*o + 3*j - 37. Suppose -z = 6 - o. What is the first derivative of 13*c**z - 32*c + 32*c - 1 wrt c?\nAnswer: 26*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put -2, 683, -1516 in increasing order.\nAnswer: -1516, -2, 683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**2 - v + 20. Let a be 0 - (-5 + (-2)\/(-2)). Suppose -3*l - 9 = 5*p, -a*l - 15 = p + l. Is 10 a factor of q(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -2*u**5 - 1636*u**4 - 19300*u**3 + 35680*u**2 + 173862*u - 188604 = 0?\nAnswer: -806, -13, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 31*m - 94*m + 33*m + 30 + 34*m to a*m + g and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-33)\/(-6) + 3\/(-6). Let g(t) = 11*t - 4. Is g(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 18853752 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*x**5 - 2627*x**4 - 5*x**3 - 6553*x?\nAnswer: 40*x**3 - 31524*x**2 - 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -19548, -38351, -57132, -75879, -94580, -113223?\n\"Answer: 2*b**3 - b**2 - 18814*b - 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -235 - 21 - 6218*u**3 + 7*u + 6211*u**3 - 10 - 5*u.\nAnswer: -7*u**3 + 2*u - 266","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40161.\nAnswer: 3, 11, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 - 8*x + 12. Let j be t(6). Suppose j = 7*d + 240 + 82. Let l = -5 - 40. Is d less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 679 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 16312*h**2 + h - 48615?\nAnswer: 32624*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1017062.81 take away 1471.684?\nAnswer: -1018534.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3244955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -812*y + 8044. Give v(10).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 + 24145*p + 603005. Determine n(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6008*c**3 + 834*c?\nAnswer: -36048*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 m when two letters picked without replacement from {o: 2, m: 9, d: 2}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**3 - 56*b**2 + 178*b + 52. Determine o(-59).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*2*(-3 + sqrt(882) + (sqrt(882) + (sqrt(882) - sqrt(882)*-1) + sqrt(882) - sqrt(882)))**2.\nAnswer: -2016*sqrt(2) + 56484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.1 + 1.9. Which is the third smallest value?  (a) 0.2  (b) -1\/250  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + 3. Let l(w) = 15 + w - x + w. Calculate the remainder when l(9) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10812 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -0.05  (b) 0.3  (c) -271.7  (d) 5  (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13104852*b**3*p**5 - 26*b**3*p + 4*b**2*p - 9687*b*p wrt p?\nAnswer: -262097040*b**3*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16.2835 - -16601.84.\nAnswer: 16585.5565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 617*s - 13800. Determine i(23).\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3567041?\nAnswer: 19, 41, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-45)\/435*-87*((-2170)\/45)\/(-7)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a + 7. Let r be u(7). Solve h = 2 - r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1.86 or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -9*r - 22. What is the hundreds digit of p(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 - -7. Let b be (10 - (-2)\/(-1)) + 4. Let c = b + -16. Sort l, -3, c.\nAnswer: c, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 1, -41, 0.4278 in descending order.\nAnswer: 1, 0.4278, 0.4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 67\/(-14) - 3*(-2)\/4*(-510)\/(-153).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -130 - -130. What is the closest to 2\/3 in l, -2\/7, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00005262 rounded to six decimal places?\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -375*w + 368*w = -20370. Is w a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**3 - v**2 - v + 1. Let h be z(2). Let d be (45\/20 + -3)\/h. Which is the third smallest value?  (a) -0.3  (b) -2  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 17 and 51232703077185.\nAnswer: 51232703077202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 44214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58119 is divided by 57744?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -947 = -3*t + 2*d - 266, 9 = -3*d. Let x = t - 80. Suppose 4*i - 151 = x. List the prime factors of i.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-1)\/(-1))\/((-156)\/(-1898)) and 35\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(825) - sqrt(825) - sqrt(33) - 6*2*sqrt(33))\/(sqrt(396) + (sqrt(396) + (sqrt(396)*-2 - sqrt(396)))*-4)*4 + -3)**2.\nAnswer: 32*sqrt(3)\/9 + 2443\/243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1111011 (base 2) to base 11.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -80, -163, -274, -407, -556, -715?\n\"Answer: k**3 - 20*k**2 - 30*k - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6.04*-0.3.\nAnswer: -1.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from pzzzb.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lhzllmhmhh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 35*v**3 - 6*v**2 + 10*v + 228. Is l(21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 + 34\/(-8) + (-3)\/4. Let q(y) = y**3 + 2*y**2 + 3*y + 3. Let h be q(x). Let z = 5 + h. Which is smaller: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 3)*(-3*c**3 + 6*c**3 + 0*c**3) + 0*c**3 + 6*c**3 - 4*c**3 + (3*c - c + 0*c)*(-2*c**2 + 2 - 2).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -540 - -633. What is the remainder when 235 is divided by n?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1 - (-4 + 9)*1. Let n(c) = c + 12. What are the prime factors of n(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1\/(-4))\/((-6)\/16). Let t = -0.518 + 0.018. Which is the nearest to 1?  (a) t  (b) 1  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24575, -49395, -74215, -99035, -123855, -148675?\nAnswer: -173495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d - 45*r + 17 = -48*r, -r = -3*d + 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -54579000 rounded to the nearest 1000000?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -247 + 247. Suppose 39*m - 42*m + 1332 = d. What are the prime factors of m?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4*(33\/4 - -4). Suppose -4*a - 83 = -4*l + m, -3*a - 133 = -4*l. Factor l - 12 + y**2 - 23.\nAnswer: (y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65 + 17 = -4*s. Suppose -1018 = 40*m - 1018. Solve m = s*z - 9*z - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence twg when three letters picked without replacement from {c: 2, w: 1, z: 2, t: 5, g: 2, v: 1}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*b**2 - b**2 - 5*b**2 + (-2*b + 4*b + 2*b)*(b + b + 0*b) + (6 - 6 + 2*b)*(-4 + 4 + 2*b).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + r = -2*r + 12, u - 5*r = -12. Let a be (-1)\/(-1) + 2 - u. Solve a = -y - 3*y + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-10) - (-22)\/165)\/((-30)\/(-4860)).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 9 = 2*z. Suppose z*u = 37 - 7. Suppose -11082 = 4*w - u*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 30933, -24.6, -0.23 in descending order.\nAnswer: 30933, -0.23, -24.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 9632664433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3.687 + 0.163. Let f = -0.15 - k. Let z = -9 - f. What is the biggest value in z, 3\/4, -0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -74a (base 16) in base 6?\nAnswer: -12350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4941567400 and 1400?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + h - 3199 = 0, 3*h = v + 1111 - 314. Let j be ((-16)\/v)\/(1\/(-6)). Let c = 32 + -31. Which is bigger: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 3804.957 hours?\nAnswer: 13697845200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the first derivative of -44*m**3\/3 - 2*m**2 - 2*m + 22. What is the second derivative of c(w) wrt w?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11492840 and 2280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 754?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30858635 is divided by 157442?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 - x**2 + x + 1. Let r(i) = -i**3 + 4*i**2 - 6*i - 4. Let y be ((-8)\/5)\/(2\/5). What is y*p(f) - r(f)?\nAnswer: -3*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 13451587 or 13451583?\nAnswer: 13451587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 s, and 1 n when three letters picked without replacement from dmnms?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffaghaj. Give prob of picking 1 f and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 2562 (base 7) to base 13\nAnswer: 5a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/4))**(2\/43)\/((v*v**(-1\/5))\/v*v**(-1\/8)) assuming v is positive.\nAnswer: v**(579\/1720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oo when two letters picked without replacement from loowr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8213?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-7)\/(-7) + 2\/(-70)*8 and -13\/25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -806 - 1130 = -2*y. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 - 32\/(-20)) + -2. Which is the nearest to -0.25?  (a) z  (b) -1\/4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 5*b + 6 + 19, -5*b + 25 = 4*q. Factor 0 - 2\/7*x**2 + 0*x + q*x**3 + 2\/7*x**4.\nAnswer: 2*x**2*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10*c**4 + 69*c**3*z**3 + 16*z**3 + 95*z**2 + 3*z with respect to c.\nAnswer: -40*c**3 + 207*c**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2249537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the first derivative of -5*r**3\/3 + r**2\/2 - 2. Let p = -114 + 226. Let b(a) = p*a - 58*a - 53*a. Determine d(b(g)).\nAnswer: -5*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 3*a**3 + 16*a**2 + 205*a + 1017. Calculate m(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5940?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14833.6812 + 14584.56. Let m = 243.24 + a. Let y = -5.9 - m. What is y rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the first derivative of a**8\/84 + 2*a**4 + a**2 + 10*a + 100. Let w(t) be the second derivative of y(t). Find the second derivative of w(i) wrt i.\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 717935 and 1730275.\nAnswer: 5165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(343) - (sqrt(343) + 3 + sqrt(343)*1 + sqrt(343))) + 5)**2*1*-1 + 5.\nAnswer: -1371 + 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from bbx.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*x + x + 13*x)*(-7 + 7 - 4*x**2) in the form k*x**3 + c*x**2 + b*x + f and give k.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -114*l + 101*l - 65 = 0. Put 10, -4, l, 7 in descending order.\nAnswer: 10, 7, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 10 = -6*f + 11*f, -f + z + 8 = 0. Let y(a) = -a**3 + 5*a**2 + 7*a - 7. Let d be y(6). Let j be 0\/25 - f\/d. Solve o = -j*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 329795019 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21*5.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 5*f**3 + 235*f**2 + 3640*f + 18620 = 0.\nAnswer: -19, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 16 - 11*g - g**2 + g + 9*g. What is the least common multiple of 18 and u(0)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34451.97 millennia in decades?\nAnswer: 3445197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8737 + -8740. Which is the nearest to 4?  (a) -1  (b) p  (c) 2  (d) 75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(85)*-2)\/sqrt(5).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 209 times 0.0955\nAnswer: 19.9595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -5*g + 2. Determine h(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(1088) - (3 + sqrt(1088) + (sqrt(1088) - 3*sqrt(1088)))**2) + sqrt(1088) - (3 + (sqrt(1088) - (3 + sqrt(1088)))**2 + sqrt(1088)))*3.\nAnswer: -9981 + 504*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 - ((-10 + 13 - 6) + -5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 2125.487 and -7046697.\nAnswer: -7044571.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10032 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**2\/5 + 3708*p\/5 + 2232.\nAnswer: -4*(p - 930)*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -4*w + 75, -2*w = 4*g - 27 - 13. Calculate the lowest common multiple of w and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 9, r: 3}. Give prob of picking 3 e and 1 r.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.16, 1\/2, 8.39?\nAnswer: 8.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 - 3*j**2 - 2*j + 4. Let f be o(4). List the prime factors of f\/(3\/(-2) + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 15\/(-18) + 52\/(-24) - (-2 + -1). Solve -a + 5*p + 10 = 0, -2*a + c*a + 13 = -3*p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -157*a**3 + 7. Let k(j) be the third derivative of -13*j**6\/30 + j**3\/3 + 5621*j**2. What is 7*k(y) - 2*t(y)?\nAnswer: -50*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*d - 1140 = 22*d - 16*d. Solve 9*j + d*j = -117 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3 + ((-4)\/6)\/((-2)\/(-3)). Let b = 3 - r. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 41 - 36. Let j be (-48)\/(-90)*q\/(-6). Put 2\/11, j, 0.4, -0.4 in ascending order.\nAnswer: j, -0.4, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes after 8:49 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p**2 + 0*p + 0*p)*(-56*p - 37*p + 2*p) - p**3 + 4 - 1 - 2.\nAnswer: -183*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u + 2. Let r be m(2). Suppose 3*z + 44 = -r*s + 4*s, -3*s - z = -33. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1070671 divided by 1\nAnswer: 1070671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 43489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*s - 22*s = -9*f + 45, 4*s - 3*f - 63 = 0. Let o(r) = r**2 - 19*r + 5. Give o(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 8*u**3 - 5. Let y(w) = 33*w**3 - 2*w + 2*w - 23 + 2. Determine 21*a(o) - 5*y(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -301.16 - -301.36. What is the third smallest value in 328, l, 4?\nAnswer: 328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (28\/(-2))\/((-13965)\/75810)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n = 13*n - 84. Determine u so that 83*u**2 - 184*u**4 - n*u**5 + 676*u - 560*u**2 - 128*u**2 - 152 - 182*u**2 - 317*u**2 + 776*u**3 = 0.\nAnswer: -19, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*m**2 - 47*m**2 + 93*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -2*z**2 + 11*z + 8. Let x(o) = o**3 - 8*o**2 + 7*o + 5. Let a be x(7). Suppose 47 - 17 = a*b. Let m be n(b). Solve 0*k - m*k - 6 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35597480731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*w + 99 - 688 + 67 = 0 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 10334 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1633, -6553, -14757, -26245, -41017?\nAnswer: -59073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5579)\/14*(-4 + (-4)\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by 6689.\nAnswer: -1\/6689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 154 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -16 - (-53 + 46 + (-4 - (-6 - -5)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 34  (b) -0.17  (c) -2\/19  (d) -0.3  (e) -1  (f) -6\/11  (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 6*g**2 - 3*g - 1. Let d = -1 - 1. Let t be f(d). Suppose 0 = -3*v - i + t, 4*v = i - 4*i + 37. Solve 0 = -4*j + 26 - v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-2*(sqrt(2736)*3 + sqrt(2736)))**2 - (0 + sqrt(19)*1 + 1*(sqrt(304))**2))*-5.\nAnswer: -5*sqrt(19) + 874000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -2*l**2 + 15*l. Let a be i(14). Let f = a - -314. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 34\/14 + -2 + ((-30)\/315 - 1). Which is the closest to 0.1?  (a) -4\/9  (b) 3  (c) f  (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 76 and 893.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7.036 + -4.\nAnswer: 3.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*s - 26 + 26. Suppose 5*v + 0*v - 1200 = s. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000347991 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.3243992 rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1\/7, -23, -11, 40, -194, 1\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 375*m**2 - 1123*m + 363. Is c(69) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**3 + a**2 - 1. Let j(g) = -6*g**2 + 6*g + 4. Let b(l) = -j(l) - w(l). Suppose 0 = 2*m - 0*m - 5*h - 3, 0 = -5*m - 2*h - 36. Determine b(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16001389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a = 5*z - 30, 5*z = -2*a - 3*a - 20 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 60 and 356004?\nAnswer: 1780020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*h**3 + 2*h**4 + 0*h**3 + (h - h + 2*h**4)*(-4 - 1 + 2) + 378*h**4 - 53*h**4 + 29*h**4 to the form v*h**2 + b*h**4 + s*h**3 + c*h + o and give b.\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from umyuyuzhuzuvuvyuuuu. What is prob of picking 1 v and 1 z?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**2 - 3*c - 3. Calculate a(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - 2*b - 33, -2*b + 3*b + 20 = 3*q. Let p = q + -3. Suppose 0 = -9*v + p*v + 50. Solve -5*x = -v - 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-158)\/22 + -5 + 285\/55 + -15?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i + 2 = -o + 5*i, 0 = -5*o - 3*i. Suppose 0 = -4*r + 3*r. Suppose 5*p - 8 = 3*p, r = -c + 5*p - 15. Solve -3*h + 4*h - 4*d = 2, o*d + 10 = c*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**3 + 20*i**2 - 20*i + 24. Let o be (30 + -31)\/((-2)\/(-42)). Let x be l(o). Solve 5*u + x*v - 8 = 0, 2*u + 4*v + 9 - 1 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-8)\/(-14)*(-42)\/(-12). Solve l = p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - (-1 + -34)) + (-330 - -319)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.3 - -0.4. Let u(f) = -f**3 + 3*f**2 + 17*f + 1. Let a be u(6). Let h = -0.16 + -8.84. What is the second biggest value in y, h, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -4*g**2 + 0*g**2 + 2*g**2. Let i(z) be the first derivative of -2 + 0*z + 0*z**2 - 2\/3*z**3. Give u(i(c)).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -294, -2\/3, -154, -5, 1\/34.\nAnswer: -294, -154, -5, -2\/3, 1\/34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*l + 3*l + l)*(-12 + 27 - 5*l - 8).\nAnswer: 5*l**2 - 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -430?  (a) 3  (b) -1\/4  (c) -3  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-3421)\/111960*(-17)\/(1683\/(-18))\nAnswer: -1\/180","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 - 15. Is ((802\/(-1))\/1)\/f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 13*f**3 - 2*f**2 + f. Let o be y(1). Let v be (-3 - -13)\/(o\/18). What is the highest common divisor of v and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 193 a factor of 99820731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 29 - 26. Suppose -f*o - 2*j + 3 = -9, 0 = -4*o + 3*j + 16. Let n be o + -1 + (-1428009)\/3. What is n rounded to the nearest 10000?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.96 - 0.04. Let q be 176\/(-1672) - (-348)\/57. Sort q, p, -2, 1\/3.\nAnswer: p, -2, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + 18. Suppose -5*r - 3*r = -q. What is the tens digit of 1 + r + -2 + 249?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2886 + 1306. What are the prime factors of z?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 40 = -2*m - 584, 104 = -f - 2*m. Let p be (1\/2)\/((-11)\/f). Solve -5*v - 4*t = 31, -2*v + 14 = -0*v - p*t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the third derivative of z**5\/30 + 7*z**2. Let u(s) = -s - 3. Let w(v) = 0*v + 13 - 3 - v + 3*v. Let y(x) = 20*u(x) + 6*w(x). Calculate j(y(b)).\nAnswer: 128*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:08 PM and 11:03 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1711621 - 216*y - 1711621.\nAnswer: -216*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*q + 4*q + 3*q)*(4423*q + 1103*q + 260*q) + q**2 + q**2 - q**2.\nAnswer: 11573*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/72 and -35\/5226?\nAnswer: 62712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 40\/(-84))\/(990\/462).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (23\/(1932\/1155))\/((-5)\/4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3164522.\nAnswer: 2, 811, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7*v**3*w**2 - 69469*v**3*w - 16122*v**3 - v**2 - v + 7 wrt w.\nAnswer: 14*v**3*w - 69469*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - 2*y + 4, 50*a - 54*a + 4*y + 8 = 0. Solve a*w + 0*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2 - 1)\/((-2)\/(-10)). Let r be ((-2700)\/(-165))\/(-15) + 1014\/143. Solve 13 = r*z - y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 - -1. Let r = 13 - x. Suppose a + 2 - r = 0. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -14*l**2 + 82*l + 9. Determine g(8).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -2*a**3 - 5*a**2 - 2*a - 6. Let h be z(-4). Let b be (-4 - 13100*h) + (4 - 0). What is b rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the second derivative of -j**7\/84 + j**6\/6 - 23*j**5\/40 + 7*j**4\/12 - 319*j - 6. Solve h(q) = 0 for q.\nAnswer: 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d. Let m(p) = -5*p + 0 + 0*p - p + 1. Let y(z) = -33*a(z) - 6*m(z). Let f be y(4). Solve 4*j + 12 = -4*o, -o + 3*o = -f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6863 is divided by 6626?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -75 - (-244 - -214) - (80 - 2)\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1988, -8045, -18132, -32243, -50372, -72513, -98660, -128807?\nAnswer: -162948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-5)*(-1915)\/2681?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.144 - -0.1523. Round h to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, 0.2, 0.9697, 0 in descending order.\nAnswer: 0.9697, 0.2, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*x + 12 = 35*x. Suppose 2*q + k = 6*k + 17, 3*k = x*q - 21. Solve -2*i = -q*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49602505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 981 (base 13) in base 15?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**2 - 549452*u + 75474375076.\nAnswer: (u - 274726)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -416 + 1128. Suppose 4204 = 2*r + 2*d, 3*r + 5*d - l - 5596 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17324 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - -27. Suppose v = -0*f + f. Calculate the highest common divisor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.11 and 48301442.\nAnswer: 48301442.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.2648 - -0.2648. Which is smaller: -24 or d?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-588)\/26754)\/((1\/63)\/(-1))?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 43d (base 15) to base 2\nAnswer: 1110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 792380 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j + 4*r + 88, 0 = -2*r - 0 - 2. What is the highest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.087 - -107.913. Let x = 106 - f. What is the third smallest value in -6\/13, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 2)*(1 + 2*h - 1)*(176*h - 84*h - 19 + 53 - 88*h).\nAnswer: -16*h**2 - 136*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 + 2*r**2 - 14*r - 8. Let g(f) = -f**2 - f + 2. Calculate -a(y) - 4*g(y).\nAnswer: -y**3 + 2*y**2 + 18*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 not equal to 180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5374)\/(-30) + 12\/(-90). What is x rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 - (-13)\/(26\/1037316))\/(49 + -48) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 47 = 281. Let v be 6\/d - (-212)\/26. Solve 15 = -3*z + v*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12203 - 1123?\nAnswer: -13332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 685 + -690. What is the remainder when 307 is divided by 10\/y*124\/(-8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x. Let u(z) be the second derivative of -493*z**3\/6 - z + 53. Calculate w(u(o)).\nAnswer: 493*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-84)\/(-12) + 509\/(-90) and -53\/60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 5724430922?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**3 - 23*t**2 + 42*t + 2. Let v be s(21). Solve 5 - 1 = v*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 6 = -4*x + 2, -3 = 2*k - 5*x. Put -3\/2, -1\/5, -5, k in ascending order.\nAnswer: -5, -3\/2, -1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnnnnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16?  (a) -6  (b) -19  (c) -3  (d) -2\/19  (e) -9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 - -14\/3. Let i = -3 + -32\/7. Find the common denominator of l and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in -2\/9, -33689, 1\/6, 0.5, -0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1\/4, 3, 0.1 in decreasing order.\nAnswer: 3, 0.1, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 17 = 3*z, 5*v - 2*v + 10*z = 6*z. Let r(u) = -2 + 3*u - 5*u + u**2 + 1. Determine r(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the first derivative of y**6\/3 + 161*y**5\/5 + 1730*y**3\/3 + 272. Find the third derivative of x(n) wrt n.\nAnswer: 120*n**2 + 3864*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 + 16 = 5*i. Let h(z) = -z**2 - 6*z - 6. Let n be h(-3). Suppose n*d - 2*d = 42. What is the remainder when d is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 178815.\nAnswer: 3, 5, 7, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -513*x = 577*x + 1269*x + 8890 + 12341 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 211 + -210. Let s = 498\/5 + -100. Which is the smallest value?  (a) 0.01  (b) h  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fbp when three letters picked without replacement from fxrfpfppfbfwxfbpxf?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 842217270 to the nearest integer?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -22, 9, -3, -5737, 0.4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 272 = 3*f - n, 5*f + n = 449. 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: Let l(j) = -j**3 - 16*j**2 + 216*j - 15. Give l(7).\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 0 + -1 + sqrt(192) + -1.\nAnswer: -1 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2b0 (base 15) to base 6.\nAnswer: 2503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8 is divided by (-17)\/6 + 12\/(-72) - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in nine tenths of a microsecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 72 - 48. What is the remainder when 93 is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -30 - 5589*o + 30 - 1286*o to f + i*o and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 50791.75ug to tonnes.\nAnswer: 0.00000005079175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y - y + 2*y**2 + 2 + 0*y**2)*(-26 + 627 + 191).\nAnswer: 1584*y**2 + 1584*y + 1584","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1958, -2339.\nAnswer: -2339, -1958, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - 1) + (-6 - 54\/(-6)). Solve 3*h + 2*g - 2 = 0, -h + 11 = r*h + g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the first derivative of -53*b**5\/120 - 7*b**4\/24 + b**3 - 2. Let c(a) be the third derivative of q(a). Is c(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*sqrt(66)*-1)\/((sqrt(2) - (sqrt(2) - sqrt(8)\/sqrt(4)) - sqrt(2) - sqrt(2))*1))\/(2*-3*sqrt(1584)).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a = -3*r - 97, -1042*r = -1038*r + 2*a + 36 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 11\/88 + 2\/(-16). Let z be 24*(1 - (m - 0)). Solve -k - 2*k = -f + 1, -4*f - 2*k - z = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -52*i**2 - 22. Let k(t) = -75*t - 1. Give k(j(m)).\nAnswer: 3900*m**2 + 1649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 52585789?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 not equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -25*-0.06\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5\/41?  (a) 51  (b) -0.05  (c) -4  (d) -1\/4  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48000 = 65*n - 1985*n for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the first derivative of -31*g**6\/6 - 8*g**3\/3 + 8. Find the third derivative of u(c) wrt c.\nAnswer: -1860*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-28))\/(-35 + (-1285)\/(-35)).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 + -127. What is the common denominator of (n\/(-40))\/((-5)\/(-2)) and 107\/6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*v + 46*v + 86309 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 5*g + 2*r - 29, 9 = 5*g - 4*r. Let o(u) = 6*u - 4. Let d(c) = -7*c + 5. Determine g*o(i) + 4*d(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1825406, 1825393, 1825380, 1825367, 1825354, 1825341?\n\"Answer: -13*b + 1825419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(5616)*-2)\/sqrt(3))**2 + 3*(sqrt(468)*1 + sqrt(13)))*1.\nAnswer: 21*sqrt(13) + 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 45\/27728 and -65\/48.\nAnswer: 83184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:48 PM and 11:55 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-1)\/(-6))\/(6\/120*5). Let k = 5.3 - -21.7. Let m = k + -35. What is the closest to 0 in 0.5, m, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.05 and 511.2264.\nAnswer: 25.56132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -228521820*l**2 - 58692256 wrt l?\nAnswer: -457043640*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.3 + -1.3. Let z = 11031 - 11012. Is y smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -a**3*c**2 + 107*a**2 - 9*a*c**3 - c**3 - 8725*c + 2 with respect to a.\nAnswer: -3*a**2*c**2 + 214*a - 9*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -194 - -251. Let z(k) = 4*k**2 + 2. Let f be z(3). Calculate the highest common divisor of m and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 + 1 + 1 - 3 - 1744*m + 2*m**3.\nAnswer: 2*m**3 - 1744*m + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 - 2*r**2 + 1327*r - 6716. Determine m(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -28, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105 = -169*d + 64 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -115*a - 50. Determine j(-3).\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.2 and -0.619.\nAnswer: -0.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20934980 and 28380?\nAnswer: 62804940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q - q + y + 11, y + 14 = 3*q. Let i = -3 - -6. Solve -f - 2*f + 18 = q*v, -f + 12 = i*v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v + v - 9, 3*c + 5*v - 825 = 0. What is the greatest common factor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -35 - -36. Sort -3, -14, y.\nAnswer: -14, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 15996, -4, 3, -1 in descending order.\nAnswer: 15996, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from {d: 1, h: 9, r: 8, p: 1}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6.7798 - -0.7798. What is the fourth biggest value in 0.5, 1\/13, -0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 176 and 257472?\nAnswer: 2832192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 446.9 + -447. What is the closest to 0.01 in 0.08, -1, l, 1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2162, 2166, 2180, 2210, 2262, 2342, 2456?\n\"Answer: a**3 - a**2 + 2162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w - w + w - w - w + 4*w + (-10 - 1 + 4)*(-w + 0*w + 3*w) + 0 + 0 + 2*w.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -127*o**5 + 12905*o**3 + 5*o**2 - 8*o - 1467274.\nAnswer: -7620*o**2 + 77430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2001101201121 (base 3) to base 4\nAnswer: 10022031100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001785 to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**3 + n**2 + 2. Let l(r) = -63*r**4 + 6*r**3 - 6*r**2 - 5*r + 1129. Let h(j) = -6*c(j) - l(j). What is the derivative of h(x) wrt x?\nAnswer: 252*x**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + (sqrt(13) + 0)*-2 - -3*sqrt(13)*-4)**2.\nAnswer: 2197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -335\/597 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 151\/6*l - 1\/6*l**2 + 0 = 0. What is l?\nAnswer: 0, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 + 32*f**2 - 580*f - 1988. What is k(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.816578 centimeters in kilometers?\nAnswer: 0.00000816578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -26 + 110. Calculate the highest common factor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 39 - 44 - (-7 - 4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:02 AM and 2:39 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 3*h - 4*x + 13, 3*x - 11 = h. Suppose -5*z + o + 340 = -h*o, -z - 2*o + 71 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0\/3)\/(1 + 2). Suppose 2*b + 2*b - 576 = c. Let f = 134 + b. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (15\/(-2) + -2)*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1220027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**2 + 56*d + 42. Give t(-44).\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 AM and 5:37 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -3*i - 9, -5*i + 5 - 15 = 5*o. Sort o, -4, -2 in increasing order.\nAnswer: -4, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*1*(2*sqrt(187) - sqrt(187) - sqrt(187))*-4)\/(sqrt(891)*-2*1 - sqrt(891) - 1*sqrt(891)*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 3*z**2 - 143*z + 761. Let s be y(6). Put -2, s, 0, 4, -5 in descending order.\nAnswer: s, 4, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*v + 2 = 58*v + 2*c, 4*c - 4 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10 - -21) + -31 + -6 + 10?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 2*c = 0. Suppose c*b = -3*b + 180. Suppose b = 9*u - 4*u. Solve -u = -0*z - 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 64\/783 and 79\/90.\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, x: 5, j: 9, z: 1, n: 2}. What is prob of picking 1 x, 2 n, and 1 j?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j - 9 - 4 = 3*t, 8 = -2*j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 583656.9mg in micrograms?\nAnswer: 583656900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 2  (b) -0.3  (c) -55553  (d) 4  (e) -0.4  (f) -2.9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 41209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t - 4. Suppose 150*p - 394 = -296 + 952. Let v(d) = -2*d - 13. Determine p*g(y) - 2*v(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -12 + 4350?\nAnswer: 4334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5006236 - 0?\nAnswer: 5006236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1401 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -10) + 7 + -34?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f + 2*f + f)*(-1 - 1 - 2) + 16*f + 2*f + 19*f.\nAnswer: 29*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -29*j - 375. Let v be x(-13). Solve 5*g + 17 = -3*z, -6*z + v*z = -4*g + 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18263827505514 - 18263827505514 + 7*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -258343.2573 rounded to the nearest 100?\nAnswer: -258300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ksxkkkxskxxkkxsxk. What is prob of sequence ksss?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3 + 4)*(6*b**2 + 2*b**3 + 1 - 5*b**3 - 8*b**2).\nAnswer: 6*b**3 + 4*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 762 divide 37445442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 94090\nAnswer: -94089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 222*v**2 + 446*v**2 + 88*v**2 - 37*v**2 + (-2*v + 4 - 4)*(4*v + 0 + 0).\nAnswer: 711*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l - l + 28*l + 6*l - 2*l - 3*l + (0 - 3 + 5)*(l - l - l))*(5 - 3 - 1).\nAnswer: 25*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*i + i = -3150. Suppose -423 = -213*d + i*d. What is the greatest common factor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -16*p**2 + 68*p + 18. Let f(l) = -8*l**2 + 31*l + 8. Let g(n) = 9*f(n) - 4*j(n). Let u(t) = 43*t**2. Give g(u(w)).\nAnswer: -14792*w**4 + 301*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -106 + 119. Suppose -2*c - q = -s, -5*s + 24 + 6 = -3*c. Suppose -2*m = -4*v - 408, -s*v + 4*v = 5*m - 984. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 5 - 1 + 4 - 1 + (4 - 1 - 4)*(2 + 4 - 4) + 0 - 3 + 1 + 0 - 2 + 4 + 4 - 4 + 2)*(-3*m**2 + 3*m**2 + m**3) - 5*m**3 + 2*m**3 + 7*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 52272956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(5) + sqrt(500)*2 + sqrt(20)\/sqrt(4)*-6 - (sqrt(45)\/(2*sqrt(9)) - (sqrt(20)\/sqrt(2))\/sqrt(2)).\nAnswer: 31*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -37004865.67 rounded to the nearest one hundred thousand?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -29*c**3 + c**2 - c + 1. Let t be b(1). Let k be 26\/7 + (-8)\/t. Suppose 0 = -2*s - h + 41, -h = -2*s - k*h + 31. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16 - 10. Solve -q = -n - n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 634410.5 decades?\nAnswer: 76129260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*x - 1983 + 1878 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 - -11. Suppose -o*k = 90 - 14. Let n = k + 22. What is the remainder when n is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.032 - -0.402. Let k = o + -0.07. Let d be (-1)\/(-15)*11 + 130\/(-390). Which is the nearest to 0?  (a) d  (b) k  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 40*r**5 - 117*r**4 + 117*r**4 + (-2*r**4 + 4*r**4 - r**4)*(r - r + 2*r) + r**5 + 2*r**4 - 2*r**4 + 0*r**5 - 3*r**5 + 4*r**5 + 8*r**5 + r**5 + 48*r**5.\nAnswer: 101*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -770*y + 603*y + 35773237. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**2 - 10*r - 11. Let f be y(-8). Let d be -6 + (-9)\/(-3) - -5. Suppose -d*n = 3*n - f. Are 10\/7 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-42)\/(-120) - (-30)\/75.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8629563*p**5 + 56129039*p.\nAnswer: 172591260*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -5, 2177 in decreasing order.\nAnswer: 2177, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/6375*-15*5?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 22*u - 18. Let j be t(17). Which is the smallest value?  (a) j  (b) -5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 863 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -4*d - 3. Suppose 8*g = d*g + 175. Suppose 0 = -4*s - s + g. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 17401, 17402, 17403?\n\"Answer: o + 17400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jp when two letters picked without replacement from pppjpj?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 2, x: 5, w: 3, h: 3}. Give prob of picking 1 w, 1 h, and 2 x.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -58 divided by -9.\nAnswer: 58\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9 by -2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 10 + 1 + 44\/6*1746\/1067\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 105818000 rounded to the nearest one million?\nAnswer: 106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5305 - 11?\nAnswer: 5294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 - 1)*(-6*z + 0*z - z)*(-103*z - 182*z + 19*z).\nAnswer: -3724*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the second derivative of 0 + n + 2\/5*n**5 - 1\/2*n**2 + 1\/3*n**3 - 1\/6*n**4. Suppose -s - 3*t = 5, 2*s + 2*t = 2 - 4. What is y(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 573, 4352, 14557, 34404, 67109, 115888, 183957, 274532?\nAnswer: 390829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6 + -1625326?\nAnswer: -1625320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 21 - 56 + 11 = 0 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (19 - (3 - -5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(68)\/sqrt(4))**2 - (-4 + (1 + sqrt(17))**2).\nAnswer: -2*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u*u**(-1))**(10\/13)\/(u**(-7)*u**(-2\/3)*u))**46)**(8\/5) assuming u is positive.\nAnswer: u**(21344\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/28)\/((-48)\/(-64))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (7 - 23)*(-22)\/4. Let f(t) = -19*t + 39. Let r be f(6). Let k = g + r. Solve -3*l - k = -4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 759 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 376542713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 266311092329398710.00000029 + -266311090670379094. Let r = -1659019605 + c. Let k = -11 + r. What is k rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.6 or -898\/5?\nAnswer: -898\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*124*(87\/4 - 3 - (-2584)\/(-136))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(6*(sqrt(1008) + 0)*-3)**2.\nAnswer: -1306368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.65 take away -4.5372?\nAnswer: 5.1872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -150*u = -138*u - 60 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18 and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7758 is divided by 968?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - (-4 + 12)) + 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -61992, -61968, -61944?\n\"Answer: 24*h - 62016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9723377*c**2*d*k**2 - 2*c**2*d*k + 2*c*d + c + 2192786*d*k**2 + 2*d*k wrt c.\nAnswer: 19446754*d*k**2 - 4*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 + -28 + 11 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*p - 107 = -5, p - 2 = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21734 and 1300?\nAnswer: 14127100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (126 + -130)*(-9)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the third derivative of -47*b**6\/120 + 37*b**5\/30 + b**2 + 46*b. Find the third derivative of r(t) wrt t.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -134, -268, -414, -578, -766, -984?\nAnswer: -1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v - 1. Let a = -35 - -47. Let t be u(a). Suppose t - 5 = 2*j. Solve k + 0*k = -j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5363 is divided by 1786.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 3*r**3\/4 + 189*r**2\/2 - 222645*r\/4 + 55566 = 0.\nAnswer: -343, 1, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jooottooooootoo. What is prob of picking 2 o?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, n: 10, q: 1, g: 7}. Give prob of picking 1 q and 1 n.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v**3 + 37*v**2 - 35*v + 19. Is u(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = 3*x - 23, -x + 7 = 4. Solve o = d - 4*r, 3*d + 16 - 28 = 3*r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19 + (792\/100)\/(84\/210)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (-10 - (17 + 7)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3540, -3521, -3480, -3405, -3284, -3105, -2856?\n\"Answer: 2*s**3 - s**2 + 8*s - 3549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -1867*n**2 + 604*n + 10. Let r(y) = 1865*y**2 - 589*y - 13. Let b(f) = 5*a(f) + 4*r(f). Find the second derivative of b(x) wrt x.\nAnswer: -3750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 4 + 11. Let t(p) be the first derivative of -7\/9*p**6 - 6\/5*p**5 + 5\/6*p**4 + 2\/3*p**2 + 1 + 2*p**j + 0*p. Let t(b) = 0. What is b?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5 - (-3)\/(1 - 4). Let c(r) = -r**3 + 4*r**2 + 4. Let j be c(q). Solve -4 = j*u + 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.04 in 5, 0.23, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -708.7 in -59.3, 0.1, -1?\nAnswer: -59.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -9*y + 130. Calculate v(12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - 6. Let h be -1 + k\/(-3) - -4. Let l = -5027 - -5038. Solve n - l = 5*y - 4, h*y + 14 = 5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*r - r - 594 = -11*r. Solve r = -43*v + 46*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 + 11. Suppose -2*z - 28 = 5*b, u - 32 = 4*z - 5*b. Let p = z + 19. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2202615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6981, 7005, 7047, 7107, 7185, 7281, 7395?\nAnswer: 7527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of -3*b**2\/2 + 5*b - 6. Let h(v) = v**3 + 5*v**2 - 5*v + 6. What is the remainder when h(-5) is divided by l(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.578 + 0.580266. What is f rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 3067  (b) 11\/3  (c) -2\/9  (d) 4  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + 3*w - 28 = -45, -d - 6*w + 37 = -21*w for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132505 is divided by 287?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5713 - 3082. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -16*k**3 + 42*k**2 + 14*k - 37. Let r(b) = 3*b**3 - 8*b**2 - 3*b + 7. Let y(t) = -11*r(t) - 2*v(t). Suppose 0 = -7*u - u + 40. Determine y(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1063*o - 52440 = 685*o for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -2*q + 2*z, 0 = -z - 0 + 5. Calculate the smallest common multiple of q and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 157, 20, 5, -4, 50 in ascending order.\nAnswer: -4, 5, 20, 50, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75648569?\nAnswer: 75648569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8644017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -15150*a**2*j - 934*a*j + 37761059*j with respect to a.\nAnswer: -30300*a*j - 934*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 - 10*h**2 - 7*h - 13. Suppose -19*w - 135 = -4*w. What is t(w)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-44)\/(-3)*(-2382)\/(-4367).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/3?  (a) -0.3  (b) -2\/69  (c) 0.1  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v**1)\/v*v)\/v**2)\/((v**(-3\/7)*v)\/(v**(2\/23)\/v)) assuming v is positive.\nAnswer: v**(-239\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1184 and 33818.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -60, -122, -182, -240, -296, -350, -402?\n\"Answer: s**2 - 65*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*(-170)\/5)\/((-7)\/(7\/(-6)))?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-5*v**2 + 6*v**2 - 2*v**2)*(3*v + 0*v - 2*v) - 20*v + 33*v**3 + 20*v**3 + 19*v)*(-5 + 0 + 4) to the form r*v + c*v**2 + t + d*v**3 and give d.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -4, -98\/9, -2\/7, 3, 19\/10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -4*j - 288, 3*b + b = -2*j - 124. Let y be j\/(-2) - (8 - 12). Let r = y + 176. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1014)\/21762 + 1\/9?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 498, 0, 2, 1, -7, -59 in increasing order.\nAnswer: -59, -7, 0, 1, 2, 498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the first derivative of -x**3\/3 + 13*x**2 + 175*x - 21. Let t be k(20). What is the greatest common divisor of t and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 5 + 3 = 0. Suppose -l = h*f - 0*f + 6, -4*l + 2*f = -30. Solve 5*t - 4*j - 13 = 0, l = 4*t - 3*j + 2*j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-6))\/((-3)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -80*c**3 + 154*c**3 - 30*c**2 - 64*c**3 - 61*c**3 in the form d + r*c**3 + p*c + s*c**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5.38 - -5.31. Put x, 0.4, -5, -0.4 in ascending order.\nAnswer: -5, -0.4, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-4\/3)*i)**(-42\/13)\/(i**(-2\/27)\/i)**(2\/35))**(-5\/12) assuming i is positive.\nAnswer: i**(-3496\/7371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 930600.\nAnswer: 2, 3, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3\/7, -0.4, 4, 10, 167, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3919*b - 2*g - 8568 = -3923*b, 0 = 4*b + 4*g - 8568. What is the smallest common multiple of 3332 and b?\nAnswer: 29988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.32516 to 2 dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 62 + -91 + 37 + 134?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, y: 11}. What is prob of sequence ww?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 714155161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -5*r - 15, -2*y = -4*y - 3*r - 16. Let t(q) = q**3 + 6*q**2 + 4*q - 1. Let m be t(y). Let x(i) = 5*i - 5*i + 1 - i - m*i. Calculate x(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/791 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**2 + 124*g - 1898. Calculate m(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 10084910*n**4 + 7372846.\nAnswer: 40339640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve y - w = -348 + 333, -19*y - 4*w = 216 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + y + 11 = -y, 2*j + 2*y = -8. Is j equal to -5\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(18))**2 + -5)*4.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4\/(-6))\/(9*6\/81). Let m be -17 + 4 + 11 + (u - -2). Let g = 14152\/27 - 524. Is g >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 774737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 10441295 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 74601 and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.191 + 3.191. What is the closest to -0.03 in 2, 2\/5, y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the third derivative of 17*w**5\/10 + w**4\/6 - w**3\/3 + 2*w**2 + 5*w. What are the prime factors of x(2)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the second derivative of 0*v**4 - 40*v + 39*v**2 + 0*v**3 - 2 - 21\/4*v**5. Differentiate g(i) with respect to i.\nAnswer: -315*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 162.3 - 162.29998228. Round x to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -245*w = -216*w - 551. What is the remainder when 52 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/42 + ((-2133225)\/(-42))\/15. Is k > 3384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in 7, -19\/4, -0.06?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8)\/(24\/(-9)) - (-2 + -2). Suppose -1 = -3*u + 5. Suppose -2*f - 2*l = -78, u*l - 1 = r. Solve -3*d = 2*q + 25, -f = 7*q - 2*q + 2*d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6433, 1.4, 2, 4, 0 in ascending order.\nAnswer: 0, 1.4, 2, 4, 6433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2312486101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5 - -6)\/((-1)\/(-3)). Suppose 2*n = r*n - 23. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 649 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-3*(sqrt(1539) + sqrt(1539) + (sqrt(1539) + sqrt(1539)*-4 - sqrt(1539)) + 2)*-1*-4)**2.\nAnswer: -62208*sqrt(19) + 5322240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*j + 24*j - 64. What is the hundreds digit of 636\/16*j*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14a (base 15) in base 10?\nAnswer: -295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 28 = 3*v + 4, -2*v + c + 5 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 4*y - 86 = 0. Let p = 515\/6 - y. Let i(f) = -4*f**2 + f - 1. Let h be i(1). Which is the third smallest value?  (a) h  (b) p  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4878 or -328300?\nAnswer: -328300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - ((-1 - -1) + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*m + 28*m - 22*m.\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1414 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13, -17, -21, -25, -29?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5\/6 + 1\/2. Let k = 53 - 35. Suppose 0 = -4*n + f, -2*n = -4*f - f - k. Which is smaller: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45825477.\nAnswer: 3, 59, 89, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -44020 or -1\/37?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -1. Let t(m) = m**3 + 5*m**2 - 4*m - 23. Let x(p) = -2*j(p) + t(p). Let y be x(-5). Which is the closest to 2?  (a) y  (b) 0.3  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -1199, 2, -2, 1 in decreasing order.\nAnswer: 2, 1, -2, -3, -1199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1236 - -13?\nAnswer: -1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 105 and 51098490.\nAnswer: 357689430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -45 - -51. Suppose 0 = -u - b + 11. Put u, -4, -2 in ascending order.\nAnswer: -4, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78145 is divided by 2902?\nAnswer: 2693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 7405934143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -16 + 16. Suppose 6 = -3*t - 3*l, 0 = -5*t - 4*l - 6. Suppose 0 = t*a + a + 3, 5*g - 23 = -2*a. Solve m*b = g*b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7921723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -590*h + 448*h + 710 = 0. Solve 14*m + r = 12*m, h*r + 17 = 7*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -723, -892, -1183, -1608, -2179, -2908, -3807?\n\"Answer: -2*b**3 - 49*b**2 - 8*b - 664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) 1\/5  (b) 2\/7  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m*m\/m**(-3\/14)*m))\/m*m*m\/(m**(1\/21)*m)*(m\/((m*m\/(m*m\/(m\/(m*m\/(m**(-1\/12)*m*m)))))\/m))\/(m*m*m\/m**(-2\/17)*m))**(-33) assuming m is positive.\nAnswer: m**(83193\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 + 8. Solve q - x = -0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-7)\/((-49)\/20)*21\/6. What is the greatest common divisor of q and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3360 is divided by 1069.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 62273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: 4.16*-0.644723\nAnswer: -2.68204768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 - 3*d - 3. Suppose -4 + 1 = -m. Let n be q(m). Let s be 3\/(-9)*n\/5. Which is the third biggest value?  (a) s  (b) -4\/15  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - v + 20 = 3*v, -4*y - v = -12. Suppose -2*u + 97 = 57. Solve 4*d - 16 = 3*w, -4*w - 3*d + u = y*d for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t - 1. Let l(g) = -6*g - 2. Let d(n) = -10*h(n) + l(n). Determine d(-10).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*c - 59. Suppose 0 = -0*i - 3*i + c. Suppose 3*b = 3*m - m - 16, -3*m - 5*b + 43 = 0. What is the smallest common multiple of m and i?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 1004.\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9936865 or -9936866?\nAnswer: -9936866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2492971936 minus 92998?\nAnswer: -2493064934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (242\/(-22))\/33*12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (1\/2)\/(5\/(3 - -7))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37734 less than -0.020143155?\nAnswer: 37733.979856845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1b8 (base 14) in base 12?\nAnswer: -25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 209517.\nAnswer: 3, 7, 11, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 2*h = 2*m - 260, 2*h - 307 = -5*m. Suppose -6*d - m = -531. Is d a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 37 and 8473.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*j + 11*j = -24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-10)\/6)\/(2\/(-6)). Suppose 0*r - 5*r + 75 = 0. Solve 0 + r = 3*y - 5*c, v*c = y - 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/28370 and 3\/28370.\nAnswer: 28370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*g = -9 - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes before 4:37 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-34)\/(-8) - 4)*12 + -2. Let o be s\/(-2)*-2 + (3 - 0). Let k(u) be the first derivative of 2*u**3\/3 - 5*u**2\/2 + u - 1. Determine k(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-182*g - 5*g**3 + 913*g + 186*g)*(-3*g**2 + 3*g**2 - g**2) + (3 - 3 + g)*(0*g + 2*g**4 + 0*g) + g**5 + 3*g**5 - 5*g**5.\nAnswer: 6*g**5 - 917*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:44 AM and 7:45 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.32 + 8.32. What is the closest to -0.5 in 2\/5, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(-1)*t)\/t*t*t*t*t*t\/t**(-2\/25))\/(t**(3\/5)\/t**(-9)) assuming t is positive.\nAnswer: t**(-113\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -4*t - 2. Let r be b(0). Is (r + 6\/4)*1550\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-14526)\/(-540))\/269)\/(7*(-1)\/(-5))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8\/6 - (-3)\/(-9). What is the units digit of s\/4 + (-1365)\/(-60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14 or -20543.1?\nAnswer: -20543.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3 + 3 - -1) + 3. Suppose 2*z - 2 = -2*s, s = 4*s + i*z. Solve t = m + 2, -2*m = -t + s - 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*k - u, 2*u - 10 = -3*k - 0. Let v be 0 + 4\/(k + -4). Is (8 - v)\/((-12)\/(-8)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.1 * -0.90192\nAnswer: 0.992112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1653 - -3?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 42860?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 5 + 1. Suppose -d*z = -3*z + 5. Suppose 0 = -z*n + 2*n + 51. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 29 and 30?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 337.9 - 337.9. Sort -4, -2\/3, f, 2, -0.4 in descending order.\nAnswer: 2, f, -0.4, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l + 3*a - 95, 0 = -3*l - 4*a + 26 + 42. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42735038\/902 - ((2 - (-20)\/(-22)) + -1).\nAnswer: 2, 23689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -142*h - 5*h + 6811 + 14798 = 0. Solve -h + 195 = 8*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20766 times 0.0438\nAnswer: -909.5508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**3\/2 + 429*f**2\/2 + 1026*f - 1242.\nAnswer: 3*(f - 1)*(f + 6)*(f + 138)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 2*n**3 + 2 - n**3 + 11*n**2 - 1 + 0 + 9*n. List the prime factors of x(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000438729304 to seven decimal places.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*m**2 + m - 14 - 33*m**2 - m.\nAnswer: 3*m**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1671472933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 27776363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-20756)\/(-76) - 8\/76. Let n be (-78)\/h - ((-466)\/14 - 1). Solve -5*m - 20 = -u, -5*u + 3*m + n = -0*m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -14 - 5357*g + 5479*g + 20 + (-4 + 2 + 1)*(-3*g + 0*g + 2*g) in the form b + d*g and give d.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*m + 2*m + m)*(5 - 3 - 1)*(-3 + 1 + 1)*(2*m - 3*m - 2*m) - 2*m**2 - 2 + 2 to the form u + y*m**2 + w*m and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 118961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 221733*n + 221734*n + 221729*n + 10 - 665198*n.\nAnswer: -2*n + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 104708994?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 + 2. Suppose i + 0 = 5. Suppose 3*t = 5*o - 81, -4 = -o - 3*t + i. Solve o = -4*a - c, 0 = 3*f - 4*a - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 159 - 15?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3828774065?\nAnswer: 5, 313, 401, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2583, 2531, 2483, 2445, 2423, 2423, 2451, 2513?\nAnswer: 2615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2.38 - -0.62. Let n = -3 - -5. What is the nearest to -1 in n, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = 2*a - j - 5, 0 = -4*j - 4. Suppose 3*z = -a - 2. Let n(x) = -5*x. List the prime factors of n(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**14\/(b**(-6)\/b))\/(b\/(b\/(b*b*b*(b*b\/(b*b*b**(2\/79)*b*b))\/b*b))*b**(-4)) assuming b is positive.\nAnswer: b**(1898\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (32\/32)\/((7 - 10) + 1). Let u = -10 - -29\/3. What is the smallest value in u, -51, l?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -330 by -3.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1032313 (base 4) in base 7?\nAnswer: -20500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5.8 - -25.2. Let i = p - 28. Which is bigger: -1\/2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 33\/421024 and 21\/8.\nAnswer: 421024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -53768 and -0.0513?\nAnswer: 2758.2984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2 - 300080716*g + 11256054514384082.\nAnswer: 2*(g - 75020179)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*f - 9*f - 5*f)*(-3 - 3 + 4)*(2 - 4 + 1) in the form p*f + c and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 32*q - 1082. Let w be k(35). Let j(c) = -c**3 + 17*c**2 - 11*c. Let l be j(15). What is the greatest common divisor of w and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u + 72 = 13*u. Is 17 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2a07 (base 11) to base 4.\nAnswer: 330213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2 + 1 - w)*(633 + 433 + 331 + 374).\nAnswer: -1771*w - 3542","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (838\/(-14) - (-262 + 246)) + 6\/7?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*t + 4*t + 1519. What is the greatest common divisor of 31 and t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -40 and -0.076?\nAnswer: 3.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(96)\/(1*sqrt(288))*3)\/(((sqrt(576) + sqrt(36))*2)\/(sqrt(6) - sqrt(18)\/sqrt(3)*-5)).\nAnswer: 3*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -85191*d*i + 162627*d + 2*i wrt i?\nAnswer: -85191*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 31184252 + 4?\nAnswer: 31184256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**2 + 5*l - 13. Let i(s) = s**2 + 2*s - 6. Let w(q) = 5*i(q) - 2*u(q). Let m be w(3). Let z = -14 + m. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96 + 56 - 119 = -53*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 11 = -3, 0 = 4*v + q + 2. Let d(n) = 10*n**2 - 7*n + 9*n + 0*n**2 + 1 - n. What is the units digit of d(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 2 + 43 = 0. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 708901?\nAnswer: 47, 15083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-8)\/(-3 + 1) + 10\/(-3). Let i = -3.94 + 4. Which is greater: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 607629711?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 12509000 to the nearest one hundred thousand.\nAnswer: 12500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 + 8 = 4*r - 2*v, 8 = 2*v. Suppose -5*u - j + r = j, 2*u - 22 = -4*j. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2418 divided by 1?\nAnswer: 2418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94 = 7*v + 101. Which is smaller: -4\/15 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 22552.4 from -2320477.\nAnswer: -2343029.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -31a (base 15) in base 2?\nAnswer: -1010111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nsqoqnqnoq. What is prob of picking 1 n and 1 s?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 37292.2 decades in centuries?\nAnswer: 3729.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the first derivative of -1\/3*w**3 + 2*w**2 - 3 + w. Let f = 58 + -54. What is z(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**3\/3 - 220*g**2\/3 - 488*g.\nAnswer: 4*g*(g - 61)*(g + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange f**2 + f**2 - 4*f + 1 + 4*f to the form t + k*f**2 + y*f and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-75)\/(-5))\/(((-516215)\/(-258))\/343).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/4  (b) 0  (c) 2\/11  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/2*74\/(-37). Let k be (-20)\/16 + w\/8 - -85. Calculate the highest common divisor of k and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -11861 from 433.\nAnswer: 12294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from lgmgbmggg?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -452.24413 rounded to the nearest 10?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2468 - -2184. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/100 and 131\/60340?\nAnswer: 301700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, w: 4, e: 5}. Give prob of picking 3 w.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sum 25 and -2071.\nAnswer: -2046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 186467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1324 + -6?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oxooxooxoo. Give prob of sequence ooo.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 7 = q - 4, q - 5*o = 11. What is the remainder when 2 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 2*d**5\/3 - 454*d**4\/3 + 3088*d**3\/3 - 1736*d**2\/3 - 1760*d = 0.\nAnswer: -1, 0, 2, 6, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 34c - 2?\nAnswer: 34a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:16 PM and 4:35 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 + 161436?\nAnswer: 161431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2577 + 3025 = -7*l for l.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 18*i**2*y**4 - 40*i**2 - 14705*i*y**4 - 24*i*y + 102 wrt y?\nAnswer: 216*i**2*y**2 - 176460*i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(44)*3)\/sqrt(4) - (-2 + sqrt(11) + -5)*-5)**2.\nAnswer: -140*sqrt(11) + 1269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**2 + 12*y - 9. Let j be b(11). Let q be j\/(-8) - 3\/12. Let d = 2 + 0. Sort 4, q, d.\nAnswer: q, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-11\/3)\/n*n**(-19) assuming n is positive.\nAnswer: n**(-71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 662586 is divided by 220856.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 347 is divided by 114?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8387 is divided by 398?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 89 + -90. Let n be i + 0 - (2 - 3). Suppose 4*h - 8 - 8 = n. What is the remainder when 4 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (96 + 44 - 212)*(2*m - 2*m - m)*(-2*m + 12*m - 14*m).\nAnswer: -288*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -47*g + 233. Let f be v(5). Let q be -42 - -38 - (48\/(-22) + f). Let w = -3.02 - -3. What is the closest to 1 in w, -2\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3337 + 3342. Which is the closest to 0.1?  (a) -0.4  (b) -8  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 1 + 2. Suppose 3*z = -n + 3, -2*n - z - 3 = -w*n. Is 2 + (3 - n - -143) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1640*u - 1444*u - 3778*u as z*u + p and give z.\nAnswer: -3582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - -3. Suppose 3 = c - w. Calculate the lowest common multiple of 6 and (c - -2)\/((-4)\/(-6)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-11))\/((-7984)\/(-10978))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4863*r + 3960 = -5223*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 107*g + 44 + 68 = 5. Let l(q) = -1. Let d = 11 + -17. Let v(a) = -a + 4. Let f(t) = t - 4. Let m(s) = -3*f(s) - 2*v(s). Determine d*l(i) + g*m(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.297 + 2.703. Let y = 0.3 - 1.3. Let r = 0 - 0.3. What is the closest to y in 0.02, r, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-669 + 669 - 226*p**2)*(-1 + 1 - 1)*((-5*p + 2*p + 4*p)*(0 + 2 - 4) - 3*p + 4*p + 0*p) - 5*p**3 + p**3 + 3*p**3.\nAnswer: -227*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 478300.9 minutes to microseconds.\nAnswer: 28698054000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 41239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 6  (b) 18\/5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qsrepspq. Give prob of sequence psr.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2)\/6)\/((-7)\/12705). Let c(l) = 47*l**2 - j + l + 4*l + 597. Does 38 divide c(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-1\/13)*j**(-1\/7)*(j**(3\/2)*j)**(-1\/8))**10 assuming j is positive.\nAnswer: j**(3405\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**3 - 24*t**2 - 49*t + 6. Let z be o(-2). What is the third biggest value in 60, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 157*j + 2. Let u be b(-2). Let k be 1 + u\/(-30) + 3\/5. Suppose -y - 5*y + k = 0. Solve 0 = -g - y - 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 2*t - 2*h = 23, 76 = 4*t - 4*h. What is the greatest common factor of 75 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 r when two letters picked without replacement from {u: 2, r: 2, h: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 219823 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 25 - -6. Suppose -292 + 13 = -b*r. Solve -h - k = -r, 33 = 2*h + 3*k + 2*k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 165.\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2452 and -13?\nAnswer: -31876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -36d5 (base 14) in base 7?\nAnswer: -36655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (70\/3)\/5 - 6\/9. Suppose -g*s + h + h - 2 = 0, 2*s - 3*h + 11 = 0. Solve -s*o + c = 3*o + 6, o + 14 = -3*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + -4 - (1 + -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) -3  (c) 2\/5  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 454461814.\nAnswer: 2, 227230907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*x - 63 = 37. Let l = 16 - -14. Find the common denominator of -89\/30 and x\/l + 62\/(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 45*d - 12389 + 14099 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x - 538 = 312. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 52.42 - 51.92. What is the fourth smallest value in 4\/7, 5\/6, 2\/101, 3, d?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddzzzudzzzuz. What is prob of sequence ddz?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 2*v + 13 = 2*s, 3*s - 5 = 2*v. What is the smallest common multiple of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -3, -1, -4 in increasing order.\nAnswer: -4, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 32 + 29 - -36 - 161\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 0 = -6. Let l(y) = y**f + 6*y**2 + 1 - 7*y - 9 - 4*y. Is 8 a factor of l(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1\/3)\/(2\/30). Suppose v*h - 2*l = 76, 0*l - 68 = -4*h - 2*l. What is the remainder when h is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 375 divide 105491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119*b - 2*b**4 + 102*b**2 + 403*b**3 - 202*b**3 - 225*b**3 - 240 + 45*b = 0 for b.\nAnswer: -15, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -21\/1418 and 59\/20.\nAnswer: 14180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 526421333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 536.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3.8?  (a) -2  (b) 2\/9  (c) -0.1  (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.887 + -0.113. Which is the smallest value?  (a) -3\/2  (b) k  (c) 3  (d) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3578 + j**2 + j - 7148 + 79*j**4 - 2*j**3 + 3572 - 2*j to the form c*j**4 + g*j + v*j**3 + s*j**2 + x and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) 1\/9  (b) -0.7  (c) -2\/35  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -6720 + 70232?\nAnswer: 63512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s - 2*z + 9, 0*z = -3*s - 5*z - 6. Find the first derivative of 3 - 1 + s*l**3 - 5*l**3 - l**3 wrt l.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 23 - 22. Let l = 0.8 + -0.8. Which is the nearest to l?  (a) -2\/5  (b) -5  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 233 (base 9) to base 16\nAnswer: c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 219  (b) 1\/4  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 784.9079 millilitres to litres.\nAnswer: 0.7849079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 152 - 152. Which is smaller: -9\/10 or d?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 + -77336?\nAnswer: -77331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5.3 + -6. Let s = 1.1 + o. Sort 4, s, -2\/7.\nAnswer: -2\/7, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 2*y**2. Let u(n) = -275*n + 6*n - 366*n + 16*n. What is u(m(z))?\nAnswer: -1238*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -232 - -144. Let n = -87.9 - p. What is the second biggest value in -5, -0.4, -3\/7, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -277114*v + 149. Is m(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**2 + 6*r + 2. Let q be m(-4). Suppose -9*f + 5*f - 16 = 0, j - 3*f - 20 = 0. Let b = j - q. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 210*q**2 - 45*q - 45. Let w = -19638 - -19634. Let t(l) = 19*l**2 - 4*l - 4. What is w*f(s) + 45*t(s)?\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 35 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10121 + -10?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 20409233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2081156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 15242 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 78\/(-9)*(-9)\/6. Solve -12*j + 47 = -t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 5*x. Suppose 80*t - 16*t = 320. Let d(k) = -6*k + 1. Give t*o(q) + 4*d(q).\nAnswer: q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20346651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What is 2526 rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 48*n**2 + 10*n - 1. Let y be b(2). Let c = y + -141. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of -v**7\/105 + 5*v**3\/6 - 15*v**2. Differentiate l(t) with respect to t.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 255 or 437?\nAnswer: 255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.03 + 0. Let o = 0.0598 - -2.9702. Let v = l + o. What is the nearest to -2 in v, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6 - 12 + 4)*(-f + f - 2*f**3) to t*f + p*f**3 + s*f**2 + u and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - 3. Suppose -x - x = p. Suppose 3*v = -x*v + 12. Solve s = v*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-o + o + 2*o**4)*(-5 - 3 + 2) to l*o**2 + y*o**4 + i*o + s*o**3 + n and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 22.32 + -22. Let n = 0.62 - k. Is n at most as big as 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 0.75, -21, 4, -9\/2, -4.\nAnswer: -21, -9\/2, -4, -0.5, 0.75, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*d + 5*y = -19*d + 15, -3*d = y - 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - 22. Let j = t + 29. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.3592 - -0.2592. What is the fourth smallest value in 1, n, -58, -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 47 + -22. Let s = 30 - z. What is the closest to -0.4 in -5, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32683 is divided by 230.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-366)\/20*3\/(-12). Let x be (-25)\/8 - (-7)\/(-28). Let b = x + p. Are 1 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 15642431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 3 + 1. Let v be (-1)\/8 - (-3)\/12. Which is smaller: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and -466190.\nAnswer: 186476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 + 10*h**2 - 13*h - 1. Suppose 3*g - g + 2*j = 0, 2*g + 1 = -j. Let x be (5 - 8\/6)\/(g\/3). Give i(x).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1448, 0, 23, 1 in decreasing order.\nAnswer: 23, 1, 0, -1448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6116.1 - -6116. Which is the closest to 2?  (a) 126  (b) x  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 12*y**2 + 19*y - 75. What is the hundreds digit of g(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.2 and -229333?\nAnswer: 229332.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-100)\/150 + 1\/(-3) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-seven quarters of a meter in millimeters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*i**3 - 29*i**4 + 24*i**4 - i**3 + 0*i**4 + 3*i**4 - i**4 + i + 2*i**4 - i + (-5*i**3 + 2*i**3 + 5*i**3)*(0*i + 2*i + 0*i).\nAnswer: 3*i**4 + i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*o - r + 7, -3*o = 5*r - 26. Solve -5*u - 2*l = -17 + o, -3*l - 15 = -5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 40 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the second derivative of 24*l**3 + 390*l**2 + 16*l - 22. Differentiate v(s) wrt s.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 36 + -37. List the prime factors of w + (-35)\/(-25) - (-418)\/5.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -210*y + 5. Let f(w) = -315*w + 7. What is 5*f(g) - 7*p(g)?\nAnswer: -105*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f + f - 4*f)*(f**2 + 0*f**2 + f**2)*((-26 + 26 + 93*f)*(2*f + 3*f - 4*f) - 4*f**2 + 5*f**2 + 3*f**2).\nAnswer: -388*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u*u**(2\/5)))**(-42)\/(((u*u*u*(u*u\/(u*u**1))\/u)\/u)\/u)**(10\/13))\/(((u\/(u*u**(1\/2)))\/u)\/u**(2\/31))**49 assuming u is positive.\nAnswer: u**(28973\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s - 2. Suppose -21 = -0*z - 3*z. Let v = z + -19. Let o be 0 + 7\/(21\/v). Determine p(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002318546601 to 7 dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 + 8. Suppose -1 = 3*l - 2*u, 9*l + u = 6*l + 5. Let h = 0.08 + 0.22. Which is the nearest to 0?  (a) h  (b) l  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -5*x**2 - 12*x - 55. Let h(y) = 4*y**2 + 11*y + 55. Let r(n) = 6*g(n) + 7*h(n). Find the first derivative of r(a) wrt a.\nAnswer: -4*a + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 1563 - 1588. Which is the smallest value?  (a) z  (b) -3  (c) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15*-18456.\nAnswer: -276840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6328.\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-3\/17)\/y)\/(y\/(y*y*y\/y**10*y*y*y)) assuming y is positive.\nAnswer: y**(-105\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -349 - -15325219139.7.\nAnswer: 15325218790.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 16 = 8*k. Suppose -3*d - k*p = 11, 0*d = 2*d + p + 4. Let n be ((-2)\/(-4))\/d*-8. Solve -g = -2*g - n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) 64  (c) -0.1  (d) -678  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -d*l**2*m - 789*d*l**2 + d*l*m**2 - 2*d*l*m + 3*d*l - l**2*m**3 + 6*l**2 - 4078*l*m**3 - 2*m**2 wrt l.\nAnswer: -2*d*m - 1578*d - 2*m**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 504 + -172. Let g = -436 + b. Is -104 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(2448))**2 + -1 + -4 + sqrt(2448)*-1 + -3 + (sqrt(1700) - 2*sqrt(1700))*-5.\nAnswer: 38*sqrt(17) + 9784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes after 12:46 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 42*v**2 + 10*v + 1. Is o(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**2 + 27*y + 151. Is w(-22) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*a - 5*k, 5*k = 5*a + 31 - 26. Are a and -1\/42 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 24*h**2*s**3*v + 4*h**2*s**2*v + 171*h**2 + 2*s**3 + v wrt v?\nAnswer: 24*h**2*s**3 + 4*h**2*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 580 = 55*i - 171*i - 116. Let j(y) = 64*y + 27. Let k(n) = -21*n - 9. Let r(v) = 2*j(v) + 7*k(v). Is r(i) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22904033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132 = 150*d - 139*d. Solve 9 = h - 3*t, -3*h - 6*t = -10*t - d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 67785 (base 10) to base 7\nAnswer: 401424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.3 + 0.7. Let d = -1 + m. What is the closest to 0 in 2, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 33\/(-4) - ((-116)\/16)\/29. Put -1, u, 1 in decreasing order.\nAnswer: 1, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - x = 36, 31 = -2*y - 6*x + 3*x for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 e when three letters picked without replacement from {h: 2, e: 10}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 528\/(-330)*(-1)\/(-6)*-5. Let y be (-2)\/6*27\/(-12). Let a = y + 3\/4. Sort -1, m, a.\nAnswer: -1, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**3 - 8*b**2 + 145*b - 1370. Let y be o(9). Solve y*i = 9*i + 28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 18\/5  (b) 1  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1122\/45811 or 0?\nAnswer: -1122\/45811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(-1))\/h**(-10)*(h\/(h*h*h**(-13)))\/(h\/(h**0*h)) assuming h is positive.\nAnswer: h**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(-1\/2))**15\/(z*z*z**1)**40*(z*z\/z**(-1\/4)*z)**18*z*z**(-7)*z*(z*z*z*z*z\/(z\/z**(-1\/6)*z)*z*z)\/z assuming z is positive.\nAnswer: z**(-241\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -117 - -108. Calculate the remainder when (204\/(-9))\/(6\/u) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -567*v**3 - 10*v**3 - 167*v**3.\nAnswer: -744*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 72 and 6816.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 10 - 23*w + 6 as g*w + i and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(832)*-4 + -5 + (-2 + sqrt(832) + -3)**2 + -3 + -1 + 1.\nAnswer: -112*sqrt(13) + 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes after 1:59 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.4098128 + 0.41. What is l rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1073\/1806 + -41\/43. Find the common denominator of -18\/77 and u.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (153\/68)\/(6\/2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 + -2)\/(12\/(-48)). Suppose 0 = -o*f + 368 - 76. List the prime factors of f.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 2*s**2. Let j(m) = -2*m**2 + 33. Give y(j(x)).\nAnswer: 8*x**4 - 264*x**2 + 2178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 m when two letters picked without replacement from rmvmlrvlmvrkmmkmmmim?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 31 = -19 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of 0*c**4 - 5 + 0*c**3 + 0*c + 4\/5*c**5 - 5\/2*c**2. Find the second derivative of y(l) wrt l.\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -2*q**3 - 45*q**2 + 22*q + 55. Let f be i(-23). Differentiate 19*r**2 + f*r - 40*r - 85 - 38*r with respect to r.\nAnswer: 38*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 132*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = a. Let n = -122 + 158. Let h = n + -32. Solve -h*q - 29 = 3*x, -x = -a*q - 4*q - 17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32443 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 2*g**2 + 4. Let s be d(0). Solve -t - 4*z - 16 = 2, 0 = -s*t - 2*z - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -c + 8, -3*h - 3*c - 3 = -9. Solve 3*f + 6 = -h*o, -6 = 3*o + 5*f - 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) -4  (b) 3\/2  (c) 261\/11  (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 - 6*q**2 - 6*q. Let w be (-56)\/(-42) - (-19)\/(-3). Determine y(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5)\/2*-8*(-2)\/(-140). Which is the nearest to w?  (a) -0.3  (b) 2\/3  (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 1077 = 4*k, 0 = -2*r + 3*r - 5. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30327762 a multiple of 1938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwqq when four letters picked without replacement from wwgqgqqqwqwqqwqqw.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l**5\/5 - 80684*l**4\/5 - 5379*l**3 = 0.\nAnswer: -1\/3, 0, 26895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**3 + 10*o**2 + 9*o + 12. Let s be q(-9). Suppose -s*k + k = -5544. What is the greatest common divisor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 250131102, 250131101, 250131100, 250131099, 250131098?\n\"Answer: -u + 250131103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 831*j + 7134. What is the remainder when m(-8) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16 + 39 - (10 + 2) - 0\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 - 14 = 3*l. Let n be 1\/(((-9)\/3)\/414). What is the remainder when n\/(-8) + (-7)\/28 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 4*o**2 + 3*o - 2. Give f(-4).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -224*c**6 + 25*c**5 - 2191*c**2 + 2*c + 1?\nAnswer: -26880*c**3 + 1500*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17506?\nAnswer: 2, 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 25*u + 7. Let h(r) = 12*r + 3. Determine 3*f(b) - 7*h(b).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-23)\/(-7) + (-2)\/7. Suppose -2*n = -h - 4*h - 3, 0 = -n - 2*h + 6. Suppose c + b = -1, 3*c - 7*b = -n*b + 27. Solve q*w = c*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1835865 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -6*b**3 + 325*b**2 + 1325*b + 248. Determine a(58).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1397951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -2*s + 33, 5*k - 6*k = 1. Let j(c) = 19*c - 264. Let f be j(s). Factor 0 + 1\/4*u**f + 7\/4*u.\nAnswer: u*(u + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 190 + -110 + (-27 + 15 - 9)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 + 2)\/((-3)\/(-42)). Suppose -4*b - 2*d + 138 = 0, -2*b + 36 + 30 = 2*d. What is the remainder when b is divided by (-7)\/i - 27\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/12 + 100\/(-16). Let m = -3 - w. Solve -m*h + 2*h = -5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 17*w - 22*w. Factor 0 - q - 1\/4*q**w - 5\/4*q**3 - 2*q**2.\nAnswer: -q*(q + 1)*(q + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -199603, -199602, -199601?\n\"Answer: x - 199604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 631 (base 8) to base 9\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.01 + 0.3. Let c = -0.09 + b. Let m = c - 0.204. What is m rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 32\/23 + -242\/207. Find w such that 0 + 1\/9*w**2 - g*w = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 29\/4?  (a) -17  (b) -1\/20  (c) 2\/15  (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3869025kg to micrograms.\nAnswer: 386902500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4727*a*i**2*v + 11*a*i*v - 273*i**2 - 4*i*v + 2*v wrt a.\nAnswer: 4727*i**2*v + 11*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*w + 2003 + 117 = 0. Suppose 213*n = w*n + 1544. List the prime factors of n.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -198 divided by 33\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d - k - 43, -2*d = 2*d + 5*k + 171. Let j be (-4 + d\/(-12))*-12. Solve j*y = 3*w + 2*w - 35, y - 1 = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 69 - 65. Suppose 2*r + 5*y + q = 4*y, 4*y + 16 = 5*r. Solve -3*g - 3*o = 9, 2*g + 2*g - 5*o + 12 = r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 - 191*u**2 + 60*u**2 - 14 + 30.\nAnswer: -131*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.07 in -43.09, 16.7, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-105)\/(-24) + 3*(-1)\/8. Let h(c) = -10*c**3 - 30*c**2 + 5*c + 20. Let m be h(-3). Solve 0 = -3*a - u - m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -2*p**2 + p. Suppose 7*c = -2 + 16. Calculate g(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d + 1. Let g(c) = -1. Give -3*g(i) - 2*r(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10 - (54\/(-6) + 19). Suppose 0 = -3*y + 1 + 5. Suppose -5*l - y*j = 2*j - 100, 0 = -4*j + 20. Solve -5*s - 4 = 2*m - l, -s - 3*m - 8 = k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 976 = 5*v + 36, 5*c - 592 = -3*v. What is the greatest common factor of v and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*r**5\/7 - 303*r**4\/7 + 2376*r**3\/7 + 15360*r**2 - 1284096*r\/7 = 0. Calculate r.\nAnswer: -19, 0, 16, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 2, -18.9617, -6, -2 in descending order.\nAnswer: 2, 0.4, -2, -6, -18.9617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -26.5 + -9.5. Let s = 35.99999881 + g. What is s rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -478548.3630503 - 21609236.6382197. Let u = 22087675 + m. Let b = -110 - u. What is b rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3000322034 + -324?\nAnswer: -3000322413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - (8 + (0 - (41 + -10))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 288445473 - -3?\nAnswer: 288445476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1377, 1766, 2421, 3348, 4553?\nAnswer: 6042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 42.4034187 rounded to one dp?\nAnswer: 42.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.053 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -5 + 5 + 6*x. Let a(q) be the first derivative of q**5\/60 - 7*q**3\/3 + 1. Let h(s) be the third derivative of a(s). Give h(z(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.09, -3, -4, -1, 128, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*w**2 - 71*w**2 - 32*w**2 - 42*w**2 - 49*w**2 + 246*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3545?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 469836007 to the power of 1\/3, to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tmlltmwwmmlhttttthw. Give prob of picking 1 l and 2 m.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 6*f - 10 - 3*f)*(-276*f**2 + 516*f**2 - 789*f**2 - 84*f**2 - 839*f**2).\nAnswer: -4416*f**3 + 4416*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(18) - (sqrt(18) + sqrt(162)))\/sqrt(6))**2 + ((1*sqrt(12) - sqrt(12))\/sqrt(4))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 0 - (17 + -17 + 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of -y**3\/6 - 639*y**2\/2 - 408321*y\/2 - 3933. Let n(g) = 0. Calculate g.\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -623*i - 8 + 624*i + 61. Suppose 2*s = 3*s - 2*g + 22, -5*s = 4*g + 68. What is the tens digit of c(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 52.39 + -52. Let s = -0.79 + o. Let v = 4 + -2. Which is the closest to -1?  (a) v  (b) s  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.02969 + -2.12969. Sort w, 5, 0, -3\/4, 0.3 in descending order.\nAnswer: 5, 0.3, 0, -3\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2, -12, -151 in descending order.\nAnswer: 4, 2, -12, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -4*v - 8. Let l(f) = -f - 1. Suppose 0 = -2*c - 3*t + 42, 73 = -c + 4*c + 2*t. Suppose 8*b = c + 53. Determine b*l(n) - r(n).\nAnswer: -6*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 71 = 4*k - i, -89 = -5*k - 4*i. Suppose -c + k + 45 = 0. Let d(w) = 17*w**2 - 3*w + 2. Calculate the remainder when c is divided by d(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3610187 (base 9) to base 4.\nAnswer: -13131120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -8, 2.6, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 4*b**4 - 101344*b**3 + 2328884*b**2 - 2227544*b = 0?\nAnswer: 0, 1, 22, 25313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*c - 52*c + 24 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -15009, -120103, -405343, -960795, -1876525, -3242599, -5149083, -7686043?\n\"Answer: -15011*m**3 - 7*m**2 + 4*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 114 and 66.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9 + -11. Let b = -0.8 - 0.2. Put b, f, -4 in descending order.\nAnswer: b, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -96 + 45 - 170*k + 51 as u + x*k and give x.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the first derivative of -o**2\/2 + 12*o - 6. Let y be w(11). Let b = -45\/23 + 41\/23. Is b <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(117) + 1 - sqrt(117) - -5*(sqrt(117) - (-2*sqrt(117))**2)) + 3 + (sqrt(13) - 1*sqrt(52) - (sqrt(13) + -1 + -3)).\nAnswer: -2337 + 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 + -0.005045524?\nAnswer: 680.994954476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 - 60*c + 1 - 7 + 60*c - 9*c**2. Let o(b) = -b**3 + 8*b**2 + 5. Let y(t) = 5*l(t) + 6*o(t). Factor y(r).\nAnswer: -r**2*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 303, 893, 1745, 2865, 4259, 5933, 7893, 10145?\n\"Answer: o**3 + 125*o**2 + 208*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.2 + -12.2. Let i = -12 - m. Let r = 77 + -461\/6. Which is the second biggest value?  (a) r  (b) -0.2  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x\/(x**5*x)*x*x)**(-2\/49) assuming x is positive.\nAnswer: x**(4\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 PM and 9:43 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 + 7*y**2 + y - 6. What is the remainder when f(-6) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*x**3 - 7*x**3 + 3*x**3)*(5*x**2 - 4*x**2 - 2*x**2)*(-3451 - 7806 + 1436).\nAnswer: 39284*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 0 + 0 + -6 + 7 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 6*a - 11. Let c be b(11). Let p = 57 - c. Solve -7*x**2 + 4*x**p + 35 + 40*x + 8*x**2 = 0 for x.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes before 3:53 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3\/44 - -73\/220. Suppose -j + 5*g - 16 = 0, 5*j - 1 + 9 = g. Is j at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.07?  (a) -3\/4  (b) 3  (c) -2\/13  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a decade in years?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -543 - -814. What are the prime factors of j?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.95 + -2.65. Which is the smallest value?  (a) n  (b) 3\/5  (c) 5  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -493802\/5451 - -2082\/23. What is the common denominator of d and -29\/3?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l - 4. Let z be k(-3). Let v be (-9)\/(-3) + z + 0. Let j(q) = 2*q - 4*q - q**v - 6 + q. Calculate j(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -6\/7  (b) 4  (c) 35  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (-2 - -2 - (-3 - -3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101101100011011 + -10001010?\nAnswer: -101101110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 90 and 103283755.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -18*a*t**3 + a*t - 28665*a + 697*t**5 + t**2 wrt t.\nAnswer: -108*a + 41820*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 54971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, 46, 339\/5, -1\/2, -10, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 plus -26.12?\nAnswer: -23.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2627056791 - 0.02869?\nAnswer: 2627056790.97131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 2*r + 42, 5*m - 4*r - 63 - 45 = 0. 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: Let i = 2 + -1.5. Let y = -0.1 + i. Which is smaller: 3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/144 and 8\/5.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 234214511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**2 - 10*y - 4. Let g be b(-9). Suppose 2 + 3 = g*s. Let o(m) = -6*m**3 + m**2. Determine o(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes after 10:42 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37 + 16 = 3*j + 32 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m - 14. Let z = 74 - 82. Give u(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 4:16 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 111, 204, 287, 366, 447, 536, 639, 762?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 32*g - 3. Let t(w) = -64*w + 6. Let q(s) = 5*i(s) + 2*t(s). What is the derivative of q(o) wrt o?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of 5*i**4\/24 - i**3\/6 - 2*i**2. Is l(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 39 = -p + 38, 5*t - 30 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 26.61614ug in kilograms?\nAnswer: 0.00000002661614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -3*u**3 - 21*u**2 - 18*u - 36. Calculate a(-6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.182 in 2, -1, -3, 70?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 1\/5, 0.3, -10\/51, -296, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*m - m - m)*(-1 + 1 + 2*m) - 3 + 3 - 2*m**2 + m**2 - 3*m**2 + 3*m**2 + 868 - 4*m**2 + 2*m - 885 - 4*m.\nAnswer: -m**2 - 2*m - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 23.105 - 22.905. What is the closest to -42 in -0.5, g, -112?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3856 (base 9) to base 2\nAnswer: 101101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -73\/5, 0.2, 24, -0.024, 2\/9 in decreasing order.\nAnswer: 24, 2\/9, 0.2, -0.024, -73\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**3 + 4*r**2 - 4*r + 3. Let p be w(3). Let n be (-5 - p)*(6 - 5). Let g be (-1)\/n + 1438\/10. What is the highest common factor of 18 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 1 + 3*c**2 + c**2 - 2*c**2 + c. Let t be (-1 - -4) + (0 - 1). Let a = -3 + t. What is b(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2222523 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -629 take away -1.1?\nAnswer: -627.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 5*v + 42 = 0, -6*i + i + 2*v = 210. Let h be 4\/i*(5 + -2). Are 2 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 1 - ((3 - 2) + -12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3\/((75\/(-5))\/3)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 9, o: 3, h: 7}. What is prob of sequence oofo?\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14526243 + 7*k**3 + 14526243.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -5*i**3 - 13*i**2 - i + 2. Let o(d) = -d**3 - 2*d**2. Let v(h) = 6*o(h) - y(h). Let m = -1102 + 1104. Calculate v(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - -3a7c7?\nAnswer: 3a7c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**3 + 2*z**2 + 4*z - 1. Let r be a(3). Let m(l) = 152*l + 1675. Let s be m(-11). Sort r, s, 1, 8 in decreasing order.\nAnswer: 8, s, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 2*k + 9 = k, k + 13 = 4*f. Solve z + f*h = -7, 0 + 30 = 3*z - 5*h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 20*l**2 - 20*l**2 - 4*l**3 + (4*l + l**2 - 4*l)*(-2 + 2*l + 2).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9776 + -117205\/12. Find the common denominator of b and (11\/(-77))\/((-24)\/938).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 81*j + 1. Let m be l(-2). Let y = -2\/12007 + 9629624\/60035. Let d = m + y. What is the smallest value in 0.01, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 175, 190, 223, 280, 367, 490, 655, 868?\nAnswer: 1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-1)*2376\/67716.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let z = 21515 + -21515.057. Which is the biggest value?  (a) -0.6  (b) -0.1  (c) -3  (d) z  (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/4?  (a) -2.7  (b) 1  (c) -3  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 468*v**2 + 209*v**2 + 1092*v**2 to the form j*v + o + s*v**2 and give s.\nAnswer: 1769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.633, 3, -4, -8\/13, 0.2?\nAnswer: 0.633","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -407 - -8240?\nAnswer: 7833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uzu when three letters picked without replacement from {z: 2, u: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from {w: 3, p: 1, s: 4}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 22\/84 - (0 + -3)\/18?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 20 = 2*i. Let h be (-6)\/8*(-20)\/1. Suppose h = -2*p + p + 5*t, -p - 9 = -3*t. Put p, i, 4 in ascending order.\nAnswer: i, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2.4, -1\/6, -0.3?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (8 + 11 + -12) - (-7 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-216)\/(-32))\/((-3)\/8). Is -40 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or -1438370199?\nAnswer: -1438370199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 454272447.\nAnswer: 3, 59, 101, 25411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 460 and 4715?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ptvom. What is prob of picking 1 t, 1 m, and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -5*p - 1966 + 19270, 3456 = p - 3*d. What are the prime factors of p?\nAnswer: 2, 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 16 = 5*u, 3*g - 7*u - 12 = -2*u. Let z be -5*(g - (-3 - -3)). Suppose 0 = b + 5*v - 2, 5*b - z*v - 55 + 15 = 0. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 148333.92 - 148317.920038. Let w = a + -16. Round w to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes before 9:04 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f**2\/5 + 704*f - 34000512\/5 = 0.\nAnswer: -5096, 3336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 29371 > 29372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13 - -19. Suppose -3*i + r = -3*t, t + t - 8 = -4*i. Solve -5*c + 5*d + 40 = t, -c = -0*d + d - 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.6 - -2.6. What is the closest to 14 in 0.4, -1\/3, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -204 divided by 306469.\nAnswer: -204\/306469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3007831 divided by 2?\nAnswer: -3007831\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 8016 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -208*a + 364 = -206*a. Calculate the remainder when a is divided by 40.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15)\/(-30))\/(1 - 66\/72)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 909.0837km to nanometers.\nAnswer: 909083700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59086879 - 4*m + 59086879.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2591086 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 32386746616\nAnswer: 32386746614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -446 + 445. Let g be 686\/49*1*a. Let c(q) = -q**2 - 12*q + 13. Determine c(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2535954800 to the nearest one million.\nAnswer: 2536000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 20, 0.04, -4, 1, 6, 21\/4?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) -12\/49  (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -269 + 412. Calculate the remainder when 69 is divided by -14*(2\/(-13) + (-550)\/u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 9315, 9319, 9327, 9339, 9355, 9375, 9399?\n\"Answer: 2*j**2 - 2*j + 9315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (95*f - 78*f - 160*f - 141*f)*(-2*f - 4 + 4).\nAnswer: 568*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**2 - t + 20. Let k be (-2*26\/(-20))\/(10\/50). What are the prime factors of z(k)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, q: 2, x: 2, c: 2, u: 6, d: 3}. Give prob of sequence uq.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 10*y + k = 47034, -k + 37627 = 4*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18+0.0297631\nAnswer: 18.0297631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*q + 6 - 6)*(-3 + 1 + 4 - 3*q**3) - 12*q**4 - 164*q + 164*q in the form p + h*q + x*q**2 + v*q**3 + w*q**4 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*b**3 + 1 - 1 + (2*b**3 - 4*b**3 + 4*b**3)*(4959 + 5014 - 9681) to the form x*b**2 + s + c*b**3 + r*b and give c.\nAnswer: 581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, -3, -52, 2.83 in increasing order.\nAnswer: -52, -3, 2.83, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 2*v + 10 = 0, 3*f + 2*v + 12 = 50. Suppose -58 = -3*l - 7. Let k = l - f. Solve 3*o = k*r + 15, -5*r - 5*o + 3 = 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1276)\/(-406))\/(4\/(168\/6)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.08?  (a) -50  (b) 3  (c) 5  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 111010000101011 (base 2) to base 9\nAnswer: 44713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times 15755\nAnswer: -4726.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 66519 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes after 9:25 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**2 - 2*a + 4. Suppose -i - 3*i + 4 = 0. Let n be i - 4 - 0\/(-1). Let y(u) = u**2 - u + 3. Determine n*b(c) + 4*y(c).\nAnswer: c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - 3e?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 9*f**2 - 7*f + 5. Let g(x) = -9*x**2 + 7*x - 6. Let o(s) = 5*g(s) + 6*u(s). What is the second derivative of o(h) wrt h?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -108 + 103. What is the nearest to 2\/21 in -0.2, m, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 60*l - 156*l + 10*l + 35 + 44*l + 71*l as s + q*l and give s.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -3*c. Let z(i) = 11*i + 4*i - 16*i. Give z(k(a)).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2126601 (base 7) to base 11.\nAnswer: -167871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/61 in -0.0971, -119, 4?\nAnswer: -0.0971","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 380 and 571590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13515 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17861864 by 4.\nAnswer: 4465466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5299*m**3 - 15892*m**3 - 4*m + 5296*m**3 + 5302*m**3.\nAnswer: 5*m**3 - 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14*h**2\/5 + 2281058*h\/5 + 651732\/5.\nAnswer: -2*(h - 162933)*(7*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wkwwkxkwxwwwkjww. What is prob of sequence xwx?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the third derivative of -y**5\/30 - 213*y**2. Let t(p) = 4*p + 17*p - 3*p. Calculate t(n(a)).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2180, 3182, 4184, 5186?\nAnswer: 6188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 10 + 59. What is the remainder when 0 + 67 - 6\/(36\/30) is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 7*k - 27 + 0*k - 8 + 5*k - k**2. Let i be p(6). Which is smaller: -11\/37 or i?\nAnswer: -11\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 206*f**3 - 1028*f**2 - 5*f - 5. Determine z(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sgvgvvguvvuccgivg. What is prob of sequence sic?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -81\/28 and -79\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the third derivative of p**4\/3 - p**3\/6 - 283*p**2. Let b(o) = 8*o - 1. What is -5*b(m) + 6*y(m)?\nAnswer: 8*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 553, 1153, 1753?\nAnswer: 2353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nrr when three letters picked without replacement from nnbrrrbbbnrrr.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve l + 7 = -3*r, 0 = 7*l - 2*l - 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/8, -14, -0.3, 2554 in descending order.\nAnswer: 2554, 1\/8, -0.3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 323*m - 9775 - 4105 - 1036 + 1673 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r = 11 + 17. Suppose 56 = r*q - 2*m, q = -0*q + 5*m + 14. Let h(z) = -z**3 + 2*z + 3. Let x be h(-2). Calculate the highest common factor of x and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 divided by -27\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.33+0.002\nAnswer: -0.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (-3 + sqrt(50))*1*1)*-3.\nAnswer: -15*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - -111000?\nAnswer: 111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of -l**4\/12 + l**3\/6 - 11*l. Suppose -4*a = 4 - 0. Let w(i) = -3*i**2 + 2*i + 2. Calculate a*n(g) + w(g).\nAnswer: -2*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -110332002231 - 2?\nAnswer: -110332002233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 25423418*p + 1457280 wrt p.\nAnswer: 25423418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 6\/73, 2, 34, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 7 = -3*j - 6*w, 0 = -j + 2*w - 5. Let d be -2 + (126\/24 - j\/(-4)). Let a be 2 + -2 + (6 - d). Solve 2*c + 9 = -3*g - 2, 0 = 5*c - a*g + 17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 87 divided by -1584.\nAnswer: -29\/528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -16*p**2 - 17. Let x(q) be the third derivative of q**5\/12 + q**3 + 482*q**2. Determine -6*i(h) - 17*x(h).\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 + 9. Let i be 581\/332 - (-6)\/(-3). Which is the nearest to 5\/2?  (a) w  (b) i  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 245 divide 3659320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1060476 - 586.91?\nAnswer: 1059889.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -763, -670, -519, -316, -67, 222?\n\"Answer: -s**3 + 35*s**2 - 5*s - 792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -4884.5 to the nearest 10.\nAnswer: -4880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 0 - 2)*(p + 1 - 1).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -131*x = -135*x + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/(-2)*48\/(-18). Solve 0 = -x + 3*t + 12, 0 = -r*t - 7 - 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 2*u - 3*u + 3, -1 = -2*w + 3*u. Let d be 27\/15 - 2\/(-10). Suppose -5*p + 5*y - 40 = 0, 0 = d*p + p + y + 12. Sort w, p, -3 in increasing order.\nAnswer: p, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-9)\/(3*1\/201). Let b be h\/(-6) + (-2)\/4. What is b rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -75 + 223\/3. Suppose -89 + 36 = 4*f - 5*u, 3*f - 4*u + 41 = 0. Which is the closest to o?  (a) -4  (b) f  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*r + 24*r = -2100. Let v be 12\/(-18) + 38\/3. Calculate the highest common divisor of r and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.741384 kilometers in centimeters?\nAnswer: 274138.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15*y**5 - 219*y**3 - 4*y**2 - y + 78.\nAnswer: 900*y**2 - 1314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1, -5, -17, -41, -83, -149, -245, -377?\n\"Answer: -g**3 + 3*g**2 - 8*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8\/319?  (a) -3  (b) 1  (c) 5  (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -3*j**3 - 7*j**2 - 26*j. Let i(t) = 2*t**3 + 5*t**2 + 17*t. Let p(n) = -5*g(n) - 8*i(n). Suppose -14 + 2 = 3*z. Determine p(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 5*n - 14 = -2*p, -p = -5*n - 23. Solve -p*k - 6 = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 754748 by 754748.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/120)\/((-2)\/12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the first derivative of -p**6\/12 - p**5\/5 + 3*p**4\/8 + 2*p**3\/3 - p**2 - 33. Suppose z(t) = 0. What is t?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/1863 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 PM and 9:20 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g = -5*n - 160, 0 = -36*g - 93278*n + 93275*n + 78 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -7 + 8 - (-1 - 0). Let y = 715 - 710. Solve 11 = -4*o + 3*s, -y = 2*o + f*o - 5*s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4293 divided by -523.\nAnswer: -4293\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/20 and 61\/(-54) + (-3)\/9.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -113, -231, -351, -473, -597, -723, -851?\n\"Answer: -i**2 - 115*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 2856 divide 170274720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -9 + (-3 - -7) + -2. Let t = 14 + d. What is the highest common factor of 77 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fifty-five halves of a century?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 + 27*10\/(-40))*-40 + -4?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(24)\/(sqrt(84)\/(sqrt(252) - sqrt(7))).\nAnswer: -5 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t = 3*t + 5. Is 2\/4*974\/t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the first derivative of k**4\/24 - k**3\/18 - 14. Solve o(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*s + 3*k = 36*s - 90, -2*k - 15 = -s. Let u(w) = w**3 + 4*w**2 + 2*w + 1. Let l be u(-3). Suppose 78 = 3*x - i, l*x + 0*x - 4*i - 96 = 0. Is s <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4.8 + -0.8. Which is the nearest to -0.1?  (a) l  (b) 0.5  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 764065779 to the power of 1\/2, to the nearest integer?\nAnswer: 27642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 508*d + 287 = 549*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from kkkkakkkkakaak?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 360323 is divided by 132.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/(-90) - 2\/(-5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3400*k**5*s**2 - k**5 - 117377*k*s**2 wrt k.\nAnswer: -68000*k**3*s**2 - 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/4 + 5\/20. Suppose 2*p - 38 = -4*f, -f + q*p - 13 = -4*p. What is the smallest common multiple of f and (-6)\/21 - 9\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 126905.4 millennia?\nAnswer: 1269054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2629890?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 202.5796 kilometers in meters?\nAnswer: 202579.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/5 + -173*20\/(-25). What is l rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 3*f = 5169, 4*r + 5*f + 7651 - 723 = 0. Let k = -3177 - r. Round k to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 3, k: 4}. Give prob of sequence uuuk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 4*g + 10 + 0 = 0, -z + g - 2834 + 948 + 947 = -946 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 7 - 3 = 0. Suppose 2*v - q = -0. Suppose v*d - 427 = 148. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 5*b - 37 = -2*b, 3*u + 5*b + 5 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 3377656 = 1000*j - 996*j, z + 3*j - 844394 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/3, -2\/7, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -80 + 25. Let b = 107 + l. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -33.1 + 33. What is the closest to l in -0.15, -2, -1\/2?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 165 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**2 + 57*n + 519. Calculate the remainder when 322 is divided by c(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 317787731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 16, 73, 218, 493, 940?\n\"Answer: 7*v**3 + 2*v**2 + 2*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 82 - 5?\nAnswer: 7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 83, 175, 271, 371, 475?\n\"Answer: 2*b**2 + 86*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2302447679 + 0.02.\nAnswer: 2302447679.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 415\/4 + -3847\/36. Let o = 3251 + -5063. Let f = 7291\/4 + o. What is the common denominator of v and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2984 is divided by 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 260707858 to the power of 1\/3, to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -2*b**2 + 17*b + 3. Let o(d) = d**2 + d + 1. Let u(a) = -l(a) + 3*o(a). Let j(k) = -2*k**2. Determine j(u(x)).\nAnswer: -50*x**4 + 280*x**3 - 392*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -52 + 53. Suppose 2*x - 1 = 9. Put x, -4, c in decreasing order.\nAnswer: x, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -98406 * 1144\nAnswer: -112576464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 282700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -32144 (base 7) in base 6?\nAnswer: -100522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 486.9 - 487. Which is the closest to 1?  (a) l  (b) -4  (c) 1  (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 238391, 476792, 715209, 953642, 1192091?\n\"Answer: 8*t**2 + 238377*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g\/g**(-6))\/g)**(-2\/21)\/(g**2)**(-4\/7))**(-2\/101) assuming g is positive.\nAnswer: g**(-20\/2121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 AM and 5:58 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 119 + 92. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -55.3 - -8.3. Let j = -46.5546 - 0.0454. Let u = j - a. Sort 3\/2, u, 0.5 in descending order.\nAnswer: 3\/2, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -51.16 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1100 a factor of 1663845700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -3990*p**2 - 1722. Let t(r) = -r**2 - 41. Let v(m) = -o(m) + 42*t(m). Let k(d) = -d**2. Determine v(k(j)).\nAnswer: 3948*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 113 - 1843*m**2 + 1852*m**2 - 4*m - 113 + 4*m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence chw when three letters picked without replacement from wfwwciiihhww?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -47461, 17\/7 in increasing order.\nAnswer: -47461, -0.5, 17\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d - 160 - 54. Suppose 2*i = 70 + d. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 77.817 times 1.01\nAnswer: 78.59517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3\/2 - -5\/22. Find the common denominator of (-2 + -2 - 2) + 11*4887\/5346 and l.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-41*y + 51*y + 0 + 0)*(85 + 7*y - 85) as s*y**2 + c*y + l and give s.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/4, 1163, 20\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = a - 66 + 64, -5*h - a - 6 = a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 418*g**2 - 300*g - 591. Give f(-2).\nAnswer: 1681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 1 - 17 + (-3 + 6 - 2)*(0 - 2 + 4))*(g + 1 - 1) + (0 + 1 + 3)*(3*g - 3*g + g) to q*g + j and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.517538 to two dps.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 4:31 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the second derivative of -23*o**5\/20 - o**4\/2 - o**3 + 3*o**2 - 723*o. Let u(z) = -323*z**3 - 85*z**2 - 85*z + 85. Determine -85*g(s) + 6*u(s).\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -144, 3, -202, -3 in descending order.\nAnswer: 3, -3, -144, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 339641057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 85 + -256\/3. Let t = -24 - -24. What is the biggest value in 5, p, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 35 and 1110935?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 193 - 118. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (((-6)\/5)\/2 - -1)\/1. What is the smallest value in 3, j, -9, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/1 - -4 - 8\/(-2). Suppose 0*m - 4*u + c = -2*m, -2*m = -3*u + 13. Sort 3, -2, m in decreasing order.\nAnswer: 3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-3*(-1)\/(18\/21))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 + 4. Suppose 2*x = i*j + 104, j - 5*j + 96 = 2*x. Suppose x = 3*z + 2*z. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 62 - -1. Let n = g - 62.9939. What is n rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3677 is divided by 48?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005383 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -224 - -378. Let m = v + -153.9999635. Round m to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g + 3*g - 64. Solve -3*p = 12, 4*b + 0*p + g = -2*p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(3\/25)\/j)\/(j\/(j\/(j\/j**(-33))*j)*j*j)*(j**(3\/7))**(-23\/2) assuming j is positive.\nAnswer: j**(-14283\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -q + 5*y, 119*q - 50*q + 94 = 73*q + 10*y for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n + 2 - 2)*(-4*n**3 - 2*n**3 + 5*n**3) - 131 - 61 - 2*n**4 + 21.\nAnswer: n**4 - 171","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 0*w - 1 + w)*(-4 - 1 + 4)*(-67*w - 38 + 38) + (-2*w - 5*w + 29*w)*(-5 + w + 5) to q + c*w**2 + i*w and give c.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(1\/5)*o*o**8*o*o**(-3\/7)*o**(-5)\/o assuming o is positive.\nAnswer: o**(132\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 + 1. Let f be (5 + k + -1)\/2. Suppose -1 = -f*g + 3. What is the remainder when 4 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c**3 - 24*c**2 = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1152055399?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 679843*d**3 - 7290*d**2 + 64*d?\nAnswer: 4079058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14.94 + 15. What is the third smallest value in t, 0, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*v**3 + 16*v**2 + 1661*v + 16054.\nAnswer: -6*v**2 + 32*v + 1661","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3\/(-3))\/(1\/(-5)). Suppose -a + 2*a - 31 = 3*u, 0 = 4*a - u - 179. Let c = a + r. List the prime factors of c.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -456 - -532. Differentiate m*g + 9 - 17 - 48 + 6 + 146*g wrt g.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 41895 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:33 PM and 12:03 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3254*z**2 + 3910*z**2 - 7171*z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**2 - 29447*u - 147260.\nAnswer: (u - 29452)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 7) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -43 + 47. Suppose -t*u + 5*l = -857, -4*u = -2*l - 1224 + 358. List the prime factors of u.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q = -1276 + 338. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 198 divide 1320858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1869 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3320061 (base 8) to base 6\nAnswer: 31050053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2042031*l*w - l + 19725*w + 80 wrt l.\nAnswer: -2042031*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17 + 27. Let a be 1 + 27 + 11 + -11. Suppose 3*w - 4*w = -a. Calculate the remainder when w is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -82, 3, -4, -2.8, -0.2, 0.2 in ascending order.\nAnswer: -82, -4, -2.8, -0.2, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2697 is divided by 146.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8751985054 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - z = 29. Let v = z + 2. Suppose 4 = 3*q - 4*b - 22, -3*q + v = b. Solve -q = 5*j - 0*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**3 - 5*n**2 + 12*n + 15. Let r(o) = 2*o**3 - 11*o**2 + 23*o + 29. Let g(f) = -5*l(f) + 3*r(f). Calculate the remainder when 47 is divided by g(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -10ad - -bf1?\nAnswer: -4bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4 + -8 + 3 - -16. Suppose -i + a = -2*i + l, 0 = -5*a + 20. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.9274 + -6.7974. What is u rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/5)\/(r\/r**4))\/((r\/r**(1\/3))\/r)**(-1\/7) assuming r is positive.\nAnswer: r**(331\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1126 + 3209 = 255*v for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12054088913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 109, -22, 2\/65, 2\/9.\nAnswer: -22, 2\/65, 2\/9, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5b2 (base 16) to base 15.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -9 + (-143 + 161 - (15 - 0))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16274?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 19090 and 2392?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 1020.48 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 115247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 10 + -10 + 9 + -3 + (2 - (11 + 61))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.3210008538 less than 3.293?\nAnswer: 1.9719991462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 239.12 to zero dps.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 19*l**4 + 2*l**3 + 1155*l + 113828?\nAnswer: 76*l**3 + 6*l**2 + 1155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9476248.\nAnswer: 2, 41, 167, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**3 + 473*a - 473*a + a**2 + 60. Let h be q(0). Is (291\/(-4))\/((-9)\/h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**2 + 7*f - 4. Let p be j(7). Let n = p - -7. What is the remainder when n is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*j - 25*j - 105*j + 504.\nAnswer: -126*j + 504","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 - 4*f**2 + 3*f + 3. Let s be k(3). Suppose -4*b + 6*r = 4*r - 4, -s*b + 3*r = -6. Is 9 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1966+-255349325.96\nAnswer: -255351291.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -6*f - 4. Let j be p(-3). Let z = -10 + j. Solve -z*k - 1 = 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 74846711, 74846708, 74846705?\nAnswer: 74846702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 2*d**2. Let m(b) be the third derivative of 0 + 0*b**3 + 0*b**4 + 4*b**2 + 0*b + 1\/30*b**5. Give m(a(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 14213490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/2)\/(-30) - 40\/(-100). Let q = -86 + 432\/5. Which is the biggest value?  (a) q  (b) 13  (c) y  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -2*((sqrt(99)*2 - sqrt(99))*-5 + sqrt(99))\/(sqrt(1296) - sqrt(1296)*-2)*5*-1 + -5.\nAnswer: -10 - 10*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rray. What is prob of picking 2 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**2 - 6*k - 3. Let r be s(7). Solve -4*t = 2*d - r, 4*d - 5*t = -0*d - 18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = -3*m - 16, 4*a - 3*m + 62 - 13 = 0 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-12)\/2)\/(-2) - (-21)\/(-6). What is the nearest to o in 0.08, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*-1*(sqrt(2736) + 3) + 2*(sqrt(475) + 0)*-3.\nAnswer: 15 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 33, 143, 317, 549, 833, 1163?\n\"Answer: -w**3 + 38*w**2 + 3*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 43856\/21 + -2089. Find the common denominator of 37\/102 and f.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 11*f**3 - 15*f**2 - 500*f + 5. Let q(i) = -18*i**3 + 23*i**2 + 750*i - 8. Calculate 5*q(m) + 8*y(m).\nAnswer: -2*m**3 - 5*m**2 - 250*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:22 PM and 9:25 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 9 = -j - 9 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -28*p + 41. Let a(q) = 81*q - 124. Let o(v) = 6*a(v) + 17*u(v). What is o(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w - 3*w + 2*w - w. Let x(r) = -r**2 - 6*r - 6. Let d(s) = -s**2 - 11*s - 11. Suppose 10*f - 5*f = -30. Let t(l) = f*d(l) + 11*x(l). Give t(h(n)).\nAnswer: -45*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kaerearneearernkeee. What is prob of sequence re?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/9*45*(-9)\/15. Solve -2*y + 6 = 0, 69*y - j = m + 67*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 856517267*b**2. Let z(m) = -m**2. What is z(f(h))?\nAnswer: -733621828669149289*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2113022 + 0?\nAnswer: -2113022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the first derivative of 0*l + 0*l**4 - l**3 + 0*l**2 - 1 + 2\/5*l**5. Find the third derivative of c(w) wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0382992952 rounded to 3 decimal places?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 9 * 2953\nAnswer: 26577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-148)\/15725)\/(10\/500)?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 97387377 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 - (-10 + 43 - 60)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17\/6 + (-87 - 40733\/(-462))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 - 2dfad?\nAnswer: -2dfaf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (12 - 16) + -2 + 18\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 - 2. Suppose -5*o = 9 - 4. Let s be d\/(2 - 1) + o. Solve t = -s*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**5)\/m)\/(m*m\/((m**(-1)\/m)\/m))*(m\/m**2)\/m**25 assuming m is positive.\nAnswer: m**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.04154902485647 and -5.\nAnswer: -4.95845097514353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 75, 118, 159, 198, 235, 270, 303?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 127, 1054, 3565, 8452, 16507, 28522, 45289?\nAnswer: 67600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/4 and 11\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 71 + -62. Let l be 1\/(((-6)\/(-5))\/6). Suppose f - 2*n = 9, -3*f - l*n = -0*n - 27. Calculate the remainder when i is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6\/253, 2, 5, -0.1, -4, -1 in decreasing order.\nAnswer: 5, 2, -6\/253, -0.1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 624991.\nAnswer: 31, 20161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 8 = 2*v. Let i be v\/2 + 21\/3. Solve -i*q = 2*p - 5*p - 2, 4 = 5*p - q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -40 + 66. Let u = f + -26. Suppose u = -2*x + 4*m + 8, -4*x - 4*m + 20 = x. Solve x = -c - c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 661, 0, -1342 in increasing order.\nAnswer: -1342, -1, 0, 661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2961888374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*h**5 + 1248*h**4 - 25512*h**3 + 111836*h**2 + 194634*h - 282204 = 0. Calculate h.\nAnswer: -2, 1, 9, 13, 603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 - (-2 - -1) - -3. Suppose -517 = i - 0*a - a, -i - 515 = -3*a. Let j be 4 + 2\/36*i\/7. What is the biggest value in 0.2, -0.1, f, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 124 and 54932.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -36, -3, 19925, 38 in increasing order.\nAnswer: -36, -3, 38, 19925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((sqrt(153) - ((sqrt(153)*-3 - sqrt(153) - sqrt(153)) + sqrt(153) + sqrt(153)))*-4 - sqrt(153)))\/(-2*sqrt(45)\/sqrt(5)*-3).\nAnswer: 34*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14275*y**6 + 178*y**4 + 81*y**3 + 552136340*y**2 wrt y.\nAnswer: 1713000*y**3 + 4272*y + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10847*k + 1278676 = -374*k + 100471 for k.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the second derivative of -g**6\/6 + 3*g**5\/4 - 5*g**4\/12 - 5*g**3\/2 + 5*g**2 - 12*g. Factor h(v).\nAnswer: -5*(v - 2)*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -2*b**2. Let m(y) = -175*y**2 + 8*y - 7. Let n(l) = 5*i(l) - m(l). Is n(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n - 16, 3*o + 2036 - 104 = 3*n. Let c = o + 995. What is c rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3054.\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1732.60773 less than -203317.6?\nAnswer: -205050.20773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -4  (b) 0.3  (c) -2  (d) 4\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2 + m. Let j be 18 - 10 - 8 - (-228)\/1. Let c = j - 229. Give i(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, -2\/11, -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14690 - -14689.9966816. What is j rounded to 4 dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the second derivative of -17*o**5\/10 - o**4\/12 + o**3\/6 + o**2\/2 - 2180*o. Determine d(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 35 = -4*m, -m + 2*i + 26 = -5*m. Let r = -5 - -7. Let k = -5 + r. Which is the closest to 2?  (a) k  (b) m  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**3 - 7*u**2 + 57*u + 370. Determine g(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-2)\/50)\/((-9)\/45))\/(116\/(-4930))?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 400 + -399.9. Which is the closest to -7\/2?  (a) 1\/8  (b) v  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -766 + 765.8. What is the smallest value in 1\/4, -3, 2.9, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-6)*b)\/(b**(-47)\/b))\/((b*b**(-5\/4))\/((b*b**30\/b)\/b*b)) assuming b is positive.\nAnswer: b**(293\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w**5\/5 - 1347*w**4\/5 - 5321*w**3 - 17253*w**2 - 13174*w\/5 + 127392\/5 = 0.\nAnswer: -1327, -16, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -54.8 - -28. What is i rounded to 0 dps?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31610*o**3 - 63342*o**3 + 31623*o**3.\nAnswer: -109*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 2*m**2 + 10*m + 6. Let s be t(-5). Solve -2*i - 1 + 8 = -3*w, -4*w + s = 5*i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hehhhhheehuhhhuehehh. Give prob of sequence hh.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -1 + (-36 - (33 - 73)) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o**2 - 15*o**3 - 4*o**2 + 4*o**2.\nAnswer: -15*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-1\/2)*a**(3\/7)*a**(-2\/13)*a\/(a*(a\/(a*a*a*a**(-3)*a))\/a) assuming a is positive.\nAnswer: a**(141\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 715, 1435, 2155?\nAnswer: 2875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, 754, -3, 2\/59, -5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Do -40769 and -40768 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 AM and 6:32 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 3*b + 18 = 0, -v = 1281*b - 1278*b - 14 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -1073  (b) 2\/5  (c) -3  (d) 1\/4  (e) 3\/4  (f) -1\/4  (g) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 9*n**3 + 10*n**2 + 2*n - 38. What is the hundreds digit of i(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3770)\/87 - -65) + 6\/(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -17*g**2 - g - 5. Let q(c) = 4*c**2 + 1. Let b = -4 + 4. Suppose n - 4*n - 27 = b. Let u be ((-8)\/10)\/((-18)\/(-45)). Determine n*q(k) + u*a(k).\nAnswer: -2*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 6)*(-25 + 3 + 51)*(-4 + u**3 + 4 + (-4*u**2 + 2*u**2 + u**2)*(-u + 1 - 1) - 4*u + 2*u**3 + 4*u - 21 + 6*u**3 + 21).\nAnswer: 580*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 222255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -842713*f**3 + 31*f - 8941.\nAnswer: -5056278*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -46 - -25. Let z be (-2)\/(-14) - (-3)\/r. Solve -2*g + z = 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 26*i**5 + 42*i**2 - 42*i**2 + (-2*i**3 - 3*i + 3*i)*(0*i + i**2 + 0*i) - 4*i**2 + 4*i**2 - 15*i**5.\nAnswer: 9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 131634 - 1321?\nAnswer: 130313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + p - 0 - 19, -5*z = -2*p + 23. Let m be 20 + (4 - -2)\/z. Solve -2*l + 6 = -2*a, -a = 3*a + 2*l + m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 - 16*r - 15. Let q be l(-16). Let x = -11 - q. What is the smallest common multiple of 2 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31891*p - 63782*p + 31894*p + 16.\nAnswer: 3*p + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 - 119?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 162738*q**3*r**3*t - 86*q**3*r**3 + 4*q**3 + 151*q*r**3*t - 3123*r**3 wrt t?\nAnswer: 162738*q**3*r**3 + 151*q*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -129 + 66*g + 152 - 1763 - 394*g.\nAnswer: -328*g - 1740","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 2*y - 2 = 0, -4*t + 1104*y - 7 = 1097*y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 4:59 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 21, -187406, 6 in decreasing order.\nAnswer: 21, 6, -187406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, a: 3, i: 1, o: 4}. What is prob of sequence eoe?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**20\/s*s)\/(((s\/(s**(11\/6)\/s))\/s)\/s))\/(s*s\/(s\/s**17)*s*s*s**(1\/37)) assuming s is positive.\nAnswer: s**(401\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3609.02591 + 3609. What is g rounded to 4 dps?\nAnswer: -0.0259","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*j + 1239 = -750. What is the remainder when 382 is divided by j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2 + y - 1. Let h be j(2). Suppose 70 = h*a - 3*f, -f - 4*f = -3*a + 58. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9014.53ml in litres?\nAnswer: 9.01453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - 8*v**2 - v + 8. Let n be x(8). Suppose -9 = -g + 2*p, n*g - 2*g + 21 = -3*p. Solve 0*c - 5*c - 2*y + g = 0, -2*c - y + 6 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -3, 94, 6?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 - 3*u**2 - u + 5. Let x be 3 - (-3 + 4 - 2). What are the prime factors of r(x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -43 + 66. Let y = 55 - w. Suppose -3*m + y = -1. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14563.\nAnswer: 14563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 18 = 3*u - 0, -b = 4*u + 20. Let o = b - -7. Let s be (-1)\/o - (-449)\/5. What is the greatest common factor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -39 - -36. What is the biggest value in 7, w, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/(i\/i**(2\/5)))**(-29)\/((i*i*(i**(-5\/3)*i)\/i*i*i)\/((i*i**(-4)*i)\/i)))**34)**(-1\/78) assuming i is positive.\nAnswer: i**(4318\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16124 + -9055. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -4*m**2 - 201*m - 2519. Calculate r(-27).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1020 is divided by 468.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(65)*-2 - sqrt(65))*1)\/(sqrt(405)\/(sqrt(9) + sqrt(18)\/sqrt(2))).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(3\/5)*d**7 assuming d is positive.\nAnswer: d**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y**4\/5 - 72*y**3 - 1098*y**2\/5 - 1104*y\/5 - 369\/5 = 0. Calculate y.\nAnswer: -1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 87440226 to the nearest integer?\nAnswer: 9351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 905 = 5*x - l, -10 = 2*l. What is the remainder when x is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**2 + 19*j - 47 - 23*j + 50. Calculate i(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*y + 144096 = 9322 - 48091. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -647, -2476, -5525, -9794?\n\"Answer: -610*n**2 + n - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = 4*t - 4*v + 8*v, -4 = 3*t + 5*v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*u - 28938 = -24*u. Calculate the greatest common divisor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*2*sqrt(84)*-6)\/(sqrt(84)\/(sqrt(35)\/(2*sqrt(5) - sqrt(5)))).\nAnswer: -48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o**3 - 3*o + 3*o + (-4 + o + 4)*(o - 5*o**2 - o).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**2 + u + 2. Let w be i(0). Suppose 0 = -2*g - 5 - 1, w*r - 5*g = 67. Let q(o) = o**2 + 5*o + 3. What is the remainder when r is divided by q(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9671 = 18*t - 9653. Let m(k) = 6*k**3 - 3*k - 3. Let y(r) = -r + 4 - 2 - 3. Calculate t*m(q) + 3*y(q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 2*f**4\/5 - 217366*f**3\/5 + 1304148*f**2\/5 - 2608264*f\/5 + 1738832\/5 = 0.\nAnswer: 2, 108677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -12.435, -298, -0.07?\nAnswer: -298","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.2, -0.6, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1283 is divided by 257.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/6*(-23133)\/22. Let t = j - 675. What is the remainder when 49 is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -1669607?\nAnswer: -3\/1669607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**2 - 4*z - 8. Let m = -66 - -48. Let o = m + 24. Give c(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-185)\/(28675\/620) + 34\/9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 121 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -389*v + 6 - 6.\nAnswer: -389*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**3 + 6*i**2 - 56*i + 6. Let u(y) = -y**3 - 11*y**2 + 112*y - 11. Give 11*l(s) + 6*u(s).\nAnswer: 5*s**3 + 56*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the first derivative of -3*y**8\/1120 - y**7\/280 + y**6\/240 + 4*y**3\/3 - 2. Let o(u) be the third derivative of x(u). Factor o(k).\nAnswer: -3*k**2*(k + 1)*(3*k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19393, -38942, -58689, -78640, -98801?\nAnswer: -119178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -499 - -1671. Suppose -21*a + t = -2650. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7697, 7714, 7741, 7784, 7849, 7942, 8069, 8236?\nAnswer: 8449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1092, 2339, 3586, 4833?\n\"Answer: 1247*x - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*m - 67*m - 3*c = -54, 0 = -2*c - 18. Solve -99 = -m*h + 16*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 8:45 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 4*g. Let o(s) = -13*s - 2. What is z(o(j))?\nAnswer: -52*j - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 290101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -171860*l + 3609067. Determine d(21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/((-3)\/((-6)\/(-2))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 30  (b) 0.2  (c) -1  (d) 4  (e) -174  (f) 0.17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000007 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**3 - 2*s**2 - 2*s - 1. What is the remainder when 42 is divided by c(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = -4*z - 1. Suppose 0 = -5*p + o + z, -2*p - 2 = -3*o - 6. Which is bigger: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 28*b**5 - 19732*b**4 - 497796*b**3 + 1512756*b**2 + 472392*b = 0. What is b?\nAnswer: -27, -2\/7, 0, 3, 729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -4, 271, -15, -3, 5 in decreasing order.\nAnswer: 271, 5, 0, -3, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -42*o + 89*o - 329*o - 96*o - 177*o. Let a(j) = -4*j. Determine z(a(p)).\nAnswer: 2220*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1698619*x**4 + 10528*x**2 - 2*x - 12 wrt x?\nAnswer: 40766856*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-15 + 15 - 16*h)*(-1 - 5*h - 7*h + 0) as u*h**2 + g*h + o and give u.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 - 5*d**2 + 3. Let r be i(-5). Let g(x) be the second derivative of 1\/4*x**2 - 1\/8*x**r - 3*x + 1\/48*x**4 + 0. Let g(j) = 0. What is j?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the third derivative of i**4\/8 + 3*i**2 + 3*i. Let d(q) = -q**2. What is b(d(z))?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 10042614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 8, u: 1, b: 8}. What is prob of sequence bu?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 952210, 1904419, 2856628, 3808837, 4761046?\n\"Answer: 952209*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 5 = -4*s, 3*s + 0*n = 3*n - 24. Let d = -0.194 + -0.006. Put 0.1, s, d in descending order.\nAnswer: 0.1, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 1173354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ji when two letters picked without replacement from {i: 3, a: 12, j: 4, c: 1}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 40 + -68. Let g = 126 + -86. Let s = g + x. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -139*5 - 0\/(-8). Let k be 2\/8 + i\/(-20). What are the prime factors of ((-7)\/(k\/(-142)))\/(2\/5)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 - (41 - 22) - (2 + 13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 3*z - 232, 2*z - 3*r = 3*z - 89. Let w = 79 - z. Solve -p + 21 = w*m - 3*p, -m = -p - 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000002679183808 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 84 = -54. Calculate the remainder when j is divided by 0 - (-1 + 1 - 16).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 13744006 to the nearest one thousand.\nAnswer: 13744000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 5*c - 4*q, -3*q = 5*c - 32 + 6. Suppose 0 = c*m - 29 - 7. Suppose -8 + 53 = 5*b. What is the highest common factor of b and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -27 - -27. Which is greater: -2\/9 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -16962457.\nAnswer: -5\/16962457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 + -2)*(-120)\/660 - (-4)\/(-22). Let n = -353\/3 - -3895\/33. Factor v*p + n*p**2 + 0.\nAnswer: 2*p*(2*p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -9, -13427, -1 in ascending order.\nAnswer: -13427, -9, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6629 = 394*v - 10313. Let y(u) = -2*u**3 + 85*u**2 + 41*u + 90. Give y(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 98 is divided by 11\/(12*12\/1152)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x - 4 = -5*x. Let l(i) = -i**2 - 5*i. Let d be l(-3). Let m be ((-8000)\/d)\/(x\/480). What is m rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -201*d - 222 = -312*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 44?  (a) -3  (b) 2  (c) 7\/1145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**3\/5 - 7308*r**2\/5 - 188487*r\/5 - 244374.\nAnswer: -3*(r + 13)**2*(r + 2410)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) 1  (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 142, 24, -1, 3 in increasing order.\nAnswer: -1, 3, 4, 24, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1285 (base 16) to base 3\nAnswer: 20111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 - 8*f**2 + 15*f - 8. Let x be k(8). Let n = x - 103. Let w be -5 + 1 - -1*n. Solve -1 - 12 = 4*c - 3*s, 2*c + 3 = w*s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 2*a + 3. Let t(k) = k**2 - 1. Let p = -16 + 18. Calculate p*t(b) + d(b).\nAnswer: 2*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 44 = 2*a. Let n(z) = z**3 - 6*z**2 + 2*z + 8. Let y be n(8). Calculate the greatest common factor of a and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u - 1. Let g(p) = 2*p**2 - 6*p - 14. What is -g(d) - 6*r(d)?\nAnswer: -2*d**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -9442718047 + -0.5\nAnswer: -9442718047.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*x**3 - 12*x**2 + x**3 + 0*x**3 - 3*x**3 wrt x?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 380?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -60*y - 58*y - 51*y as g + v*y and give v.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.002 + -0.094. Let q = t - -1.455. What is q rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 193 + 191 - 3*u**3 + 194 - 582 - 1744*u + 2*u**3.\nAnswer: -u**3 - 1744*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/16*2*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2*c + 0)*(455 + 34*c - 455) + 4*c**2 + 2*c**2 - 5*c**2.\nAnswer: 69*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of 12.9 and 0.7.\nAnswer: 9.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ninety-three quarters of a year in months?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 22 and 25642.\nAnswer: 282062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/2*(1 + -3). Suppose -5*c = 3*d - 32, w = 3*c - 9. What is the second derivative of 2*r**d + 5*r**4 + 14*r - 4*r wrt r?\nAnswer: 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, z: 6, c: 2, u: 1, q: 3}. What is prob of sequence ca?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 57.2 take away -0.1743?\nAnswer: 57.3743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 - 28. Let g be ((-8)\/(-30))\/(5\/75). Sort g, r, 5, -1 in increasing order.\nAnswer: r, -1, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -35 + -12. Let f = -46 - p. What is the nearest to f in -1, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 2897*j**2. Let p(z) = 8*z**2. Determine x(p(r)).\nAnswer: 185408*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 + -66 - (11 + -10). Let m be (-966)\/p + -4 + 1 + 0. Let x(t) = -36*t**3 + 10*t**2. Let a(h) = 7*h**3 - 2*h**2. Determine m*a(b) + 2*x(b).\nAnswer: 5*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 4*g = 3. Let m be g\/(-2)*2*-3. Solve -1 - m = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 36*i**3 - i - 1 - 3*i - 37*i**3 + 11 + 9*i**2. Let b be f(6). Suppose g + 2 = 2*w, 5*w + 8 = -0*w - 4*g. Is w > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71300 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -22*s - 1. Let j(f) = -37*f - 5. Calculate v(j(c)).\nAnswer: 814*c + 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-9)\/((-54)\/30) - -5. Let v(i) = -235 + 235 - c*i. Let t(f) = -12*f**2. Give t(v(o)).\nAnswer: -1200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 10:48 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -683, -973, -1465, -2159, -3055, -4153?\n\"Answer: -101*n**2 + 13*n - 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, 187.\nAnswer: -2, 5, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 273*j**2 - 26500*j + 1838. What is u(97)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 219837 is divided by 5493?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -4*v - 186. What is y(-40)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 227 - 232. Let w be (-2)\/7 + (-22)\/(-28). What is the closest to w in i, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/30 and -53\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 64 + -50. What is the third derivative of 19*t**4 + 2*t**6 - 14*t**4 - 47*t**2 - d*t**4 - t**6 wrt t?\nAnswer: 120*t**3 - 216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 112*i**2 - 72 - 35 - 23 wrt i.\nAnswer: 224*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:08 AM and 10:24 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 2070 * 60.88\nAnswer: 126021.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2275414, -4550785, -6826156, -9101527?\nAnswer: -11376898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + j = 6. Let k(i) = -2*i**2 - i**3 + j*i - 3*i + 7*i**2. What are the prime factors of k(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b**2 - 3*b - 3*b**3 + 0*b + b**3 - 2*b**3 to the form y*b**2 + p + w*b**3 + s*b and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78 = -4*x - 5*o, -3*x - 4*o + o + 57 = 0. Suppose -2 + x = 3*q. Let n = -15 - -9. What is the nearest to 0.1 in n, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 (base 12) in base 4?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.2, 127498, 4, 2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 88981 at most 88981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 17242.\nAnswer: 1\/17242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 359344.17us to hours.\nAnswer: 0.000099817825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - y = -97, -2*x + 0*x = y - 64. Suppose -5*n = -8*n + x. Let w = 24 - n. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -69.895 + -0.105. Let m = i + 69.9999705. Round m to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(80) + (-3 + sqrt(5))**2 + -1.\nAnswer: -2*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.298692938597 plus 0.7?\nAnswer: 0.998692938597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -187092 in 10, 0.5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tsdiwwwsstsssas. What is prob of sequence wdt?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let z = 758 - 402. Is 41 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -21594 - -21594. What is the smallest value in -1, 1, 2, k, 2444?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**2\/4 + 1503*a\/2 - 605151\/4.\nAnswer: -3*(a - 723)*(a - 279)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ygyyyyygyy?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 take away 0.035387640526?\nAnswer: 0.964612359474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 329 a factor of 1457657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2227730 + 631*t**3 - 2227730.\nAnswer: 631*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xe when two letters picked without replacement from {e: 1, f: 3, o: 1, x: 1, m: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 63, -189 in descending order.\nAnswer: 63, 4, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1022021002 (base 3) to base 16\nAnswer: 646a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5559 = -5*t + 2*w, -w + 1116 = -t - 2*w. Let z = t - -1762. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 317916 is divided by 79?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*j*k**2*r**2 - j*k**2*r + 2*j*k*r**2 - 3*j*k*r + 2*j*k + j + 1076*k**2 + 587*k wrt k?\nAnswer: -8*j*r**2 - 2*j*r + 2152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -23 - -21. Let d = 3 + -2.88. Let u = d + -0.42. Which is the smallest value?  (a) y  (b) u  (c) 10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 6 and -0.5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the third derivative of 0 - 20*g**2 + 3*g**3 + 245\/24*g**4 + 0*g. Is q(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.05 - 8.95. Sort -4, g, -0.2.\nAnswer: g, -4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -12 + 12 + 2*x + (-3 + 2 + 3)*(-5*x + x - x) + (0*x - 3*x + x)*(2 - 1 + 1) as v*x + t and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-10)\/8)\/((-10)\/(6 - -34)). Suppose -23592 = -g*d + 1543. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 9*o**3 + 17*o**2 - 11*o - 8. Let a(x) = 3*x**3 + 6*x**2 - 4*x - 3. Give 11*a(c) - 4*l(c).\nAnswer: -3*c**3 - 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {g: 4, o: 3, i: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7572137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*q**3 + 9*q - 2*q**3 - 4*q**3.\nAnswer: -4*q**3 + 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:46 PM and 10:36 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vfufee. What is prob of sequence uev?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -235*w - 2993. Calculate y(-13).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -71, 28, -4, -2 in ascending order.\nAnswer: -71, -4, -2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 255*a**3 + 156*a**3 + 96*a**3 + (6*a**2 + a**2 - 3*a**2)*(-2*a + 4 - 4)*(0 + 2 - 1) as p*a**3 + t*a**2 + z*a + i and give p.\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-16))**(2\/13)*a**(30\/7)\/(a**(19\/3)\/a) assuming a is positive.\nAnswer: a**(-958\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 89487290.\nAnswer: 2, 5, 509, 17581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 14070571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/6 + 4\/(-6). Which is the nearest to 0.1?  (a) -5  (b) s  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 25 - 24. Suppose 2*v - h - 3 = 0. Determine g so that -g**2 + 12 - 2*g + g - g - g**v = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -17 + 62. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -273 + 1269. Find the common denominator of 1 + 4 - w\/480 and 50\/3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of -63*d**3 - 6819. Let i(b) = 7*b. Determine i(f(r)).\nAnswer: -1323*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100 = 18*u - 350. Suppose -9*w = -u*w + 64. What is the greatest common factor of w and 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/10*1275\/6120.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*m + 51 = -89 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes after 2:09 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 - -13315163?\nAnswer: 13315163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1499735 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -5  (b) 8\/17  (c) 3\/5  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**2 - 25*j + 51. Let w be r(2). What is the units digit of 3\/(-7) - w*12140\/(-350)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1619 + 20*c + 7*c - 1621 + 3*c to k*c + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5252  (b) -0.5  (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:15 PM and 8:24 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {e: 1, j: 8, s: 1, p: 1, l: 6}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 20607362 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 - 173727536?\nAnswer: -173727541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*o**3 - 18*o**3 + 36*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((510\/12)\/5)\/(26\/52)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 8*w - 20 = 2*p, -5*w + 25 = -3*p. Let q be p*(-2 - (-6 + 3)). What is the smallest value in 2\/15, 0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*m - 7*m - 7*m.\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 8*c**2 - 36. Let u(z) = -4*z**2 + 19. Let n(y) = -11*u(y) - 6*w(y). Let b(f) = -2*f**2 + 3. Calculate -5*b(s) + 2*n(s).\nAnswer: 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11*w + 3 + 6*w - 8*w**2 - 31*w**3 + 33*w**3 + 0*w**2 wrt w.\nAnswer: 12*w - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2201202 (base 3) to base 10.\nAnswer: -1991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:26 PM and 3:09 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 2*r - 5 = -61, -5*r + 10 = 0. Let n(f) = -f**2 + 13*f - 9. Calculate n(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 27*z - 218. Determine l(7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/4, -196, 870 in decreasing order.\nAnswer: 870, -5\/4, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**2 + 7*j + 8. Let s be r(8). What is the closest to s in -5, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.13, -87, -30, -0.2, 993 in ascending order.\nAnswer: -87, -30, -0.2, 0.13, 993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 2*x - 4. Let l be f(6). Let j = 7573 + -7572.6. Which is the nearest to l?  (a) -1  (b) j  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 - (-4 + 0) - 2. Suppose q*p = -3*p + 6. Let n = p - -3. Solve i - n*r + 23 = 0, -5*i + 4 = 2*r + 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 617, 1233, 1849?\nAnswer: 2465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 72015 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 6 - 5)*(o + o - o) + 37*o - 28*o - 23*o + (3*o - 2*o - 3*o)*(0 + 2 - 1).\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/1729 or 2\/145?\nAnswer: 3\/1729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 5*w + 7 = 0, 262*s + 4*w = 257*s + 19. Solve 4*f = -5*v - 4, s*v - 3 = 4*f + 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 60 and 50.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/226 or 12\/307?\nAnswer: 12\/307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -w**5\/6 + 5*w**4 - 139*w**3\/3 + 404*w**2\/3 - 299*w\/2 + 169\/3 = 0.\nAnswer: 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -85, -246, -497, -826, -1221, -1670?\nAnswer: -2161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/97240428 and 79\/1023.\nAnswer: 1069644708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**2 - i + 19. Suppose -5*m = -2*h + 111 + 93, 2*h = -5*m + 244. Calculate the remainder when h is divided by l(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3018347 or -3018348?\nAnswer: -3018347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -134 (base 7) to base 2.\nAnswer: -1001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 126097 is divided by 15760.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d + 0*d - 3*d)*(17*d - 20*d + 14*d) + d**2 + d**2 - 3*d**2.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -6*n**2 - n - 1. Let z(h) = -h**2 - h - 1. Determine -l(v) + z(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3195079*l**3 - 1493492*l?\nAnswer: -19170474*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 + 2*p**2 - 2*p - 1. Let i be r(-3). What is the common denominator of (i\/(-45))\/(8\/(-6)) and 55\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = -15*v - 9*d + 1445, -11*v + 4*d = 3*v - 1419 + 79 for v.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 214, 854, 1920, 3412, 5330?\nAnswer: 7674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 102 - 57. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -504 - -17137\/34. Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 31, 4, -4, -0.5 in descending order.\nAnswer: 31, 4, 0, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 2919.70455\nAnswer: 2914.70455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8226224 and 64.\nAnswer: 32904896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23 + d - 23 - 30 + 98 - 23 to t + u*d and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, 22, -0.7?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -90*a + 29*a + 29*a + 17*a + 28*a.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - 3.1. Sort f, 0.09, -4.\nAnswer: -4, f, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -2 - 3 + 4*p**2 + 8 + 3*p**3 - 6*p. Suppose 0 = -41*y + 36*y - 3*m + 17, 2*y - m - 9 = 0. Is v(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 21*a**2 - 3371*a + 14825. What is u(156)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 884159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - d - 221 = 0, -3*c + 0*c + 131 = d. Let y(q) = 1 - 4 + c*q - 6*q. Let j be y(5). Round j to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -214 + 248. Let g = m - -143. What is the remainder when g is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 5*i**2 + 5*i - 5. Let n(g) = -7*g**2 - 8*g + 8. Let m(a) = 3*a**2 + 33*a - 70. Let s be m(2). Give s*d(l) + 5*n(l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -20*q. Let o(g) = 28*g**2. Give o(b(s)).\nAnswer: 11200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3\/2  (b) 2\/47  (c) -5  (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10 + -15. Let v be h\/(-2) + 3\/(-6). Find the second derivative of -2*a**2 + 2*a + 3*a**v - 2*a**2 wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + v - 5*v - 21, 5*v = 25. Suppose 4*u + 570 = -2*j + 5*j, 4*j = -5*u - 728. Let g = q - u. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 26\/6 - 2\/6. Let k be ((-19)\/(-2) - 3)*j. Solve 0 = -4*p - 10 + k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -2*h - 8 + 10, 3 = 4*c + 3*h. Let n(a) be the second derivative of -1\/12*a**4 + c + 0*a**3 + 3*a + 0*a**2. Let u(o) = 5*o. What is n(u(j))?\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2160 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -89, -123, -97, -5, 159, 401, 727, 1143?\n\"Answer: v**3 + 24*v**2 - 113*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 q when three letters picked without replacement from hhjqguuuhujqutjhjq.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-2)*1\/(-2). Let y be -4*(j - 0)\/(-1). Suppose 5*u + 2*i + 2*i - 57 = 0, 15 = 3*u - y*i. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 5*t + 26 = 0, 3*u - 5*t + 59 = 5*u. Calculate the remainder when 53 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 25*u - 23*u - 20. Suppose 4 + 6 = 5*k. Find the second derivative of 0*a + 3*a**4 + u*a - k*a + 4*a wrt a.\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.7 - 0.7. Let g = v + -0.6. Let k = g + 6. Which is the biggest value?  (a) -2  (b) -3\/8  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/116 + 376314\/33060 + 7.\nAnswer: 92\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-246)\/(-30) - (3 + 5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14 and 1890?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 6*h**2 - 56*h + 432. What is the lowest common multiple of 8 and d(8)?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of z**5\/480 - 227*z**4\/24 + 51529*z**3\/3 + 357*z**2 + 4*z. Factor p(r).\nAnswer: (r - 908)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**2 - 2*o + 1. Suppose -2 = -10*b + 9*b. Let h(n) = -2 + 2 + 5 - 11*n + 2*n**2 + 3*n**b. Give -4*h(m) + 22*x(m).\nAnswer: 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + -2*sqrt(432) - sqrt(432)) + sqrt(432) - sqrt(432)*-2*5) + (((-2*sqrt(36))\/sqrt(4))\/(sqrt(12)\/sqrt(4)*-6))**2.\nAnswer: 16\/3 + 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/39)\/(1\/2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q + 2*q - 2*q)*(-32*q + 52*q + 9*q) + 0*q**2 + q**2 - 2*q**2 + (-q + 2 - 2)*(q + q + 0*q) - 2*q**2 - q**2 + 4*q**2.\nAnswer: -31*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -594918 by -3.\nAnswer: 198306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 2 e when three letters picked without replacement from {p: 1, e: 5, f: 14}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (((sqrt(70) + sqrt(70) + sqrt(70)*4 + sqrt(70) - sqrt(70))*6)\/(sqrt(10) + (sqrt(10) - (sqrt(490)*5 + sqrt(490)))) + 3)**2)*-3.\nAnswer: -5901\/100 + 81*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -41379, -82784, -124189, -165594, -206999, -248404?\nAnswer: -289809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13.82 - 14. Let o = -0.72 + k. Let v = o - -0.8. Which is the nearest to -1\/3?  (a) v  (b) -0.2  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32229, -32226, -32223, -32220, -32217?\nAnswer: -32214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33794?\nAnswer: 2, 61, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16847 + 268 - 3979 = -306*j - 9814 for j.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 5*k**2 - k - 1. Let b be x(2). Let q = 19 - b. Solve -4*h - v + 1 = -1, -3*h + q*v - 4 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 5*f + 27. Let w = 39 - 45. Let q be w\/27 + (-476)\/(-36). Is 18 a factor of m(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 248 and 39866?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*g + 18003 = 17954 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3 and -2.048.\nAnswer: 0.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmffmffffffmmmfm. Give prob of sequence ffm.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + ((-4 + 1*sqrt(112))**2 - sqrt(112)) + 4*(sqrt(112) + 1*sqrt(112))**2)*-4.\nAnswer: -7700 + 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes after 7:44 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*d**2 + 3*d**3 + 36302*d + 1 + 9*d**2 - 36098*d to a*d**3 + q*d**2 + g + f*d and give f.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5f4 (base 16) to base 2.\nAnswer: 10111110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of -v**2 - 12*v + 2 + 1\/6*v**3 - 1\/4*v**4. What is r(3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -3*p. Let c(m) = 2*m + 0*m + 3*m - 3*m. Give f(c(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 369a1 + -4?\nAnswer: 3699a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + -2. Suppose n - 56 = -4*n + 3*j, l = 2*n + 5*j - 41. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 121*g - 134*g + 13 = 0. Let x(n) = 6*n. Let v(s) = -6*s. Let i(p) = 4*v(p) + 3*x(p). Let l(z) = -z. Let h(f) = 2*i(f) - 4*l(f). What is h(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-85)\/(-2210)*-13*-38*1\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes before 2:42 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -431*w + 5917 - 1166 + 421 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-30)\/30)\/(((-1)\/(-2)*(-46)\/1081)\/1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) 0.16  (c) 0  (d) -43\/2  (e) -62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 629505  (b) 0  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 + 559*c - 38740. Determine j(81).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -59167305.1299809 - -59167302. Let p = 3.13 + g. Round p to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*k - 2*k - k + 5*k - k - 3*k + (2 - 1 + 1)*(-1 - k + 1) - 5*k - 2 + 2)*(-5*k**2 - k**2 + k**2) in the form b*k**3 + l + a*k + m*k**2 and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14 + 7 - 36)*(-15 + 24 + 0*c - c).\nAnswer: 43*c - 387","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the first derivative of u**8\/28 + u**4\/4 + 3*u - 1. Let h(b) be the first derivative of o(b). Find the third derivative of h(r) wrt r.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j - 67 + 167 = 0. Is (j - -5) + (-28906)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 3. Let x = -3 + h. Let o = 0.04 - 0.04. Sort o, x, -4 in decreasing order.\nAnswer: o, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4946427271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 + -2)*(-6 + 5). Suppose -7*i + m*i = 5*j - 3139, -2*i + 3*j = -1575. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 234 + -222. Suppose r*s + 152 = 4*x + 11*s, 3*x = 5*s + 97. Calculate the remainder when x is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8018943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*p + 939677 - 939677 + 0*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -12 - 20*b**2 - 118*b**2 - 2*b + 12 as d + m*b + s*b**2 and give s.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = h - 0*h. Let u = h - -9. Suppose 0 = -u*x + 2*x + 24. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -5*n + 28. Let c = -4 + n. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 245221 + 15?\nAnswer: 245240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 + 6*d**2 + 2*d - 4. Suppose -4*v = t + 12, -8 = 4*v - 0*t + 2*t. Is 3 a factor of j(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 21*y**2 + 14*y - 41. Is i(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -31.2 - -37. Let o = -82.8 + w. Let s = o + 77.000035. Round s to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2100102149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 16333 and -2.7?\nAnswer: -44099.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 550 - 373. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 16*w**3 - 3*w**2 + 5*w - 4. Calculate the remainder when u(2) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 (base 13) in base 3?\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 58 in 3, 1\/7, -2\/7, 1\/3, 8\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzd when three letters picked without replacement from zzzzwzzzdzzzzz.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 - (3 - 3)) + 6. Let v = 82 + -82. Let q be (12\/9 + v)*90\/6. Solve 2*n = a*n - q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 32292 and 1109434716?\nAnswer: 10764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*g**3 + 40332*g**2 + 58 - 40332*g**2 in the form n*g**3 + i*g**2 + q + u*g and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nlnylnvnlvvlnvvv. Give prob of picking 4 v.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 47060 = 2*b, -2*q - 3*b + 55153 = 8108. List the prime factors of q.\nAnswer: 7, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - -9. Differentiate -6*i**2 - 1 + 5 + 1 - 5*i**t with respect to i.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 + -2 - 3)\/(12\/24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000315442152 to 7 dps.\nAnswer: 0.0003154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 44a3 + -183?\nAnswer: 4320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/42 - (1 - 1). Let f be (3*(-1)\/9)\/(0 - -1). Sort -2, u, f.\nAnswer: -2, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9\/128 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 26*r + 48. Suppose 0 = -7*l - 6 - 8. Let c be m(l). Which is smaller: 4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 2*k - 142. Let l(g) = -5*g + 4. Calculate l(a(z)).\nAnswer: -10*z + 714","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -4*m - 2*x - 2392, 2*x = -m - 472. Let p = -2000 + m. What is p rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from ogggoooggooggoogggo.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1331, -1492, -1729, -2042, -2431?\nAnswer: -2896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 24086990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -179  (b) -18  (c) -5  (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + j + 5 = 0, -5*n - j = 3*j + 20. Suppose 5*q + 0*q - 295 = n. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the first derivative of r**3 + 7*r**2\/2 + 3*r - 3. Let n(d) = 4*d**2 + 8*d + 4. Determine 6*g(a) - 5*n(a).\nAnswer: -2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 - 15*a**2 + 40*a + 18. Calculate t(10).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**1)**(-3\/22)\/((q*q**3)\/(q\/(q*q**(7\/5)))) assuming q is positive.\nAnswer: q**(-609\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**3*s**4)**(-16)*(s**(4\/11)\/s*s**(2\/37))**(-22) assuming s is positive.\nAnswer: s**(-3670\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3623 (base 7) in base 10?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvsppf. Give prob of sequence pp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*k**3 + 309*k - 309*k.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7192 - 6762. Calculate the remainder when f is divided by 73.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 742114 + -3579957899\/4824. Find the common denominator of k and 75\/8.\nAnswer: 4824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.2  (b) -6  (c) -156\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1000011110 (base 2) to base 12\nAnswer: -392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 34*v + 123*v - 28*v - v - 2*v + v + (-4 + 4 - v)*(0 - 1 + 0) + 0*v + v + v - 2*v + v - v - 185*v + 86*v + 32*v - 260*v.\nAnswer: -199*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12.1 - 13.1. Which is the nearest to -0.1?  (a) -5  (b) x  (c) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 929.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1d23 (base 14) to base 9\nAnswer: 7264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(3\/4)*h*h)**(-43))**(5\/8) assuming h is positive.\nAnswer: h**(-2365\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b + 23. Let r be o(-13). Solve 4*s + 5*u + r = 0, 3*s - s = 2*u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 176905?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*g**2 + 0*g**2 + 2*g**2)*(-11*g + 388 - 388)*(-4 + 3 + 6).\nAnswer: 110*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -w**6 - 3*w**4 - 61*w**3 + 5431*w**2 wrt w?\nAnswer: -120*w**3 - 72*w - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8725 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 l when two letters picked without replacement from lcqqlplpllppillpiqi.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12*b**3*k**3*m - 4*b**3*k**3 + b**3*k**2 + 23*b**3*k*m + 3876*b*k**3 - 2*b*k**2*m + 627*b + 10*k*m wrt k.\nAnswer: 72*b**3*m - 24*b**3 + 23256*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 109655, 219307, 328959, 438611?\n\"Answer: 109652*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*4*(-3 + sqrt(2) + 1 + -1 + -4 + -5)*5.\nAnswer: -960 + 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ahchhhahaha. Give prob of sequence hch.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.037 * 6.79\nAnswer: 0.25123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of 6.23 and 4.\nAnswer: 24.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -2 + (-2 - (-6165)\/12) - 3\/(-12) is divided by 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = -2*d + 7, -w + 96 = 4*d + 91 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 + (-1320)\/36*(2 + (-9)\/(-4 - -49))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28*(-3627)\/(-2604)*1\/(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*t - 4*t + 16, -3*g - t = -2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 12:37 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 1655.635708 to one decimal place.\nAnswer: 1655.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -100182390379 + 0.3.\nAnswer: -100182390378.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the first derivative of 10*q**3\/51 - 4117*q**2\/17 + 3292*q\/17 - 2061. Factor i(v).\nAnswer: 2*(v - 823)*(5*v - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.19 - -101.31. What is p rounded to 0 dps?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 152 is divided by 78.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, f: 1, w: 2, c: 7, r: 1, j: 2}. What is prob of sequence crjf?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 8241 = -4*s, 2*s - 3*s - 2*x + 2044 = 0. Suppose -s = -5*f + p, -4 = 2*p - p. Suppose 32*h = 34*h - f. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the third derivative of -d**4\/6 - 7*d**3\/6 - 3*d**2. Suppose 10 = -2*l + 4. Let r(n) = 2*n + 4. What is l*a(g) - 5*r(g)?\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(54)\/sqrt(12))\/(sqrt(324) - -2*sqrt(324)) + 4 + (-5 + 4 + sqrt(12)\/(sqrt(6) - 2*sqrt(6)))*2)**2.\nAnswer: -71*sqrt(2)\/9 + 7633\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25\/6*f**4 - 35\/6*f**5 - 40\/3*f + 10\/3 + 115\/6*f**3 + 5\/6*f**2 = 0. What is f?\nAnswer: -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**3 - 6*l**2 - l + 6. Does 5 divide i(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 21 = 5. Let b = -3 - -15. What is the highest common divisor of b and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3*5\/(-15)*3. Suppose -d*m = -v + 1777, v - 2*m = 5*v - 7094. Suppose -j - j = -v. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -76, 5, 2, -82.\nAnswer: -82, -76, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 171 and 10281717?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29813, -238525, -805027, -1908215, -3726985, -6440233, -10226855, -15265747?\nAnswer: -21735805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15 (base 8) to base 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1173 and 5412258?\nAnswer: 5411085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.043, 0, 2, -5 in ascending order.\nAnswer: -5, -0.043, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12 - 8. Let p = -11 - -8. Which is the second biggest value?  (a) t  (b) p  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 6*o - 6. Let q be c(1). Solve -3*x - 19 = -l, 5*l + q*x + 4*x = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -398516\/406521 - 2\/23913. Find the common denominator of p and 13\/2.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -670 divided by 2\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*j - 14029 - 63*j + 6*j**3 - 71*j + 196*j.\nAnswer: 6*j**3 - 14029","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3, -6, -5 in ascending order.\nAnswer: -6, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, 0.1, 2\/29, 482\/7, 3, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 53702858 and 29292468?\nAnswer: 322217148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 - 24*s + 94. Let p be d(-28). Let l be (16\/p)\/((-18)\/81). Solve -i + 3*a - 6 = 0, 5*i = a - l - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of -h**4\/24 + 4*h**3\/3 - 39*h**2\/4 + 387*h. Factor s(o).\nAnswer: -(o - 13)*(o - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 88 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-713)\/115 + (-12)\/(-2)) + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -78 - (-13 + (-11 + (-6 - 2) - -28)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*d**2 - 5*d - 6 + 2*d**3 - d**4 - d**2 + 5 + d**2 - d**4 to l*d**3 + b*d + m*d**2 + o + y*d**4 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*p**2\/19 + 9130*p\/19 + 7302108\/19 = 0. What is p?\nAnswer: -3531, -1034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2\/15  (b) -2\/9  (c) -2\/3  (d) -5  (e) 253\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**2. Let w(m) = 14*m**2 + 20*m + 1. Determine w(y(t)).\nAnswer: 14*t**4 - 20*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-34)\/(-8) + 1\/(-4). Let v(o) = -3*o + 39. Let t(h) = 3*h + 11 + 5*h - 9*h. Let x(f) = -18*t(f) + 5*v(f). What is x(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1061 divide 1462633062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 4:31 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -11.2 less than 64?\nAnswer: 75.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**5 - 32*h**4 + 221*h**3 + 578*h**2.\nAnswer: h**2*(h - 17)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (3\/(-64))\/((63\/4)\/(-9)) and 15\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00005959 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -3, -5*l + 125 = 5*j - 100. Let q = l + -46. Factor 3*u**2 - 12*u - 3*u**q - 3*u**2.\nAnswer: -3*u*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 2:39 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 167*b + 240 = 215*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 3 - (-6 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 4*s = -28, -29*s + 28 = -5*z - 33*s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkgcpscskxxsskk. Give prob of picking 1 c and 2 k.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 120 and 680.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -167, -166, -165, -164?\n\"Answer: s - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10 + 4*f + 20 - 9)*(-3*f + 2*f + 4*f)*(0*f + 0*f - 2*f + (f - 1 + 1)*(1 - 3 + 0) - f + 0*f + 2*f) to o*f**3 + v + z*f + w*f**2 and give o.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 + 11. Let r(p) = -p - 6*p - 1 + x*p + 0 + 2*p**3. Let g = -9 - -8. Determine r(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001001010 + -1001101?\nAnswer: 111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-12)\/(-5) - 6\/(-10). Suppose 2*m = -2*m + 4*h + 236, -m + g*h + 59 = 0. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 + 16*y**2 - 39*y - 90. Give k(-19).\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b**(-7)\/b)*b**(8\/3)\/b)**48)**(2\/17) assuming b is positive.\nAnswer: b**(1024\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27316177.\nAnswer: 7, 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 5*s - 82, 3*v - 4*v - 52 = -4*s. Let t = 18 - -72. Let q = t + s. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 506161 and 1475?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 2*j**3 + 35*j**2 + 27*j + 818. Calculate x(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 1129701*b + 10424. Let o(l) = -2603*l - 24. Give -1303*o(s) - 3*v(s).\nAnswer: 2606*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -3*u**4 + 6729*u**3 - 1683252*u**2 - 1689984*u = 0.\nAnswer: -1, 0, 288, 1956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*u**3 + u**3 - u**3 + (2*u**3 - 3*u**3 + 0*u**3)*(-4 + 2 + 0) - 2*u**3 - 2*u**3 + 5*u**3 + 3*u**3 - 4*u**3 + 3*u**3 + u**3 - 4*u**3 + 2*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114*d - 145*d - 40*d - 28*d.\nAnswer: -99*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -2050 (base 7) to base 4\nAnswer: -23101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 - 10*y**2 - 15*y + 1. Let t be h(13). Let a = t + -531. Let g = -131 - a. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25 + 37. Let h = 67 - 31. What is the highest common divisor of h and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 466500, 466494, 466488, 466482, 466476?\nAnswer: 466470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the second derivative of -p**7\/14 - p**6\/10 + 3*p**5\/20 + p**4\/4 - 8*p. Factor h(c).\nAnswer: -3*c**2*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 216191603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.177969 + -1.6?\nAnswer: -2.777969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:03 PM and 9:05 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*y + 13*y = 0. Solve y = -h - 2 - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-17)\/g*g*(g\/(g\/(g\/(g**(6\/5)*g))))\/g)\/((((g\/g**(-1\/52))\/g)\/g)\/g**(1\/51)) assuming g is positive.\nAnswer: g**(-241327\/13260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*j**2 + j**3 + 4*j**2)*(-2 + 4 + 6) - 10*j**3 + 13*j**3 + 40*j**3.\nAnswer: 51*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-3 + 1) - (-47 - -45). Solve 0*t = r*t - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes before 2:27 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes before 10:04 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(13) - (2*sqrt(156))\/sqrt(12)) + sqrt(156)\/sqrt(3))**2 + (sqrt(78)*1*-5)\/(sqrt(6) + (sqrt(600) - 2*sqrt(600)) - sqrt(6)).\nAnswer: sqrt(13)\/2 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Solve 2647*a - 621*a = 103326 for a.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnnnpnpmm. Give prob of picking 2 n and 2 p.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1100412 (base 5) to base 6.\nAnswer: -223145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 - 4*m - 2. Let f be h(-3). Let n be ((11888\/(-52))\/2)\/(-2). Let q = n + -57. Which is smaller: q or f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-16)*(0 - 1). Suppose -o = 9 - 6, -2*u = -5*o - 13. Does c = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (0 + (-374)\/(-4))\/(52\/520)?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 246 a factor of 2157420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 24 + -574\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -62 - -48. Is 45 a factor of (v\/2 - 42\/(-14)) + 769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 120 - -1. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 38, -8, -5\/433, 1\/2 in descending order.\nAnswer: 38, 1\/2, -5\/433, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 201882 - 201072 = -30*i for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -816 + 9132 = 28*f. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 2*a. Let x(w) be the second derivative of 2*w**3\/3 - 5*w. Give i(x(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -990, -2012, -3068, -4158, -5282, -6440, -7632?\nAnswer: -8858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.1  (b) -7124  (c) -3  (d) 2\/275  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1\/4  (b) 3  (c) 2  (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-816)\/918)\/((-2)\/(-36))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1068 or -7468\/7?\nAnswer: -1068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 535185 and 1575?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -77224 divided by -394.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*s**2 - 4 + 4 + 2*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 13 = -10. Which is greater: h or 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*h**3 + 959*h**2 - 2*h**4 + 1 + 4*h - 461*h**2 - 497*h**2 as g*h + r + t*h**2 + u*h**4 + d*h**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-8 + 12 + (0 - 9) + 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 291 + -107. Let u = p - 178. Let b = -3 + 5. Solve -2*a + 0 + u = -b*l, -l - 2*a = 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.5, 1212, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 54, 106, 158, 210, 262, 314?\n\"Answer: 52*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f - 1. Let u(d) = 20*d - 3. Let m(z) = 3*c(z) - u(z). Suppose 30*s - 9 = 39*s. Calculate m(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -175 and 2387?\nAnswer: 2562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/406 and -52\/9.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 11\/8 of a second?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 8*z. Let a be 32 + -19 + (-148)\/12. Let i(k) be the first derivative of 0*k + 18 + 0*k**2 + a*k**3. Give i(o(m)).\nAnswer: 128*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in sixty-nine halves of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 + 10. Let v be (-6)\/(-4)*16\/3. Suppose v = 4*o - 0*o. Solve 5*w = -4*t + q, o*t - 3*t - 4*w = -18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 845 is divided by -1*3\/((-21)\/742).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of -h**3\/3 + 3*h**2 + 11*h + 9. Let a be j(7). Solve -2*d - 3*f + 0*f = 2, a*d = 3*f - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9632 - -11938. What is the remainder when z is divided by 762?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -233860 divided by -116930\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -c447 + 240?\nAnswer: -c207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20111 and 136.\nAnswer: 160888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 553\/(-10)*(-27)\/378 and -45\/76.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2306\/(-30) + 4\/20. Suppose 3*n = -v - 70, 0 = v - 4*n - n + 86. Let h = p - v. Which is greater: 8\/5 or h?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 - (-2405)\/3 - (-372)\/(-558). Suppose 259*g + w = 275*g. Calculate the lowest common multiple of g and 140.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*n - 2028 = 114*n + 19*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11469\/94 + 122. Let x = -966\/901 - -354403\/254082. Let r = x - n. What is the nearest to r in 0, 5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from feejfefrjseeeeeer. What is prob of picking 1 e, 1 r, and 1 f?\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 260 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -50, -3, -1, 2, 0, 335 in increasing order.\nAnswer: -50, -3, -1, 0, 2, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - 17 - (-42 + 32)) + (59 - 3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-96)\/(((-819)\/(-22490))\/(-21))?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 16\/15 of a day?\nAnswer: 92160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2100 - -21?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 706533, -5, -0.1 in descending order.\nAnswer: 706533, 1, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**3\/t*(t\/(t\/t**(-1)*t)*t*t*t*t)\/t*t*t**(-2\/21)*(t*((t\/(((t\/t**2)\/t)\/t*t))\/t)\/t)\/t*t**(2\/3)*t*t*t**2*(t**0)**(-16) assuming t is positive.\nAnswer: t**(67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + (18 - 12) - (1 - -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1bb2 (base 13) to base 12\nAnswer: 2521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6a16 (base 14) to base 13\nAnswer: 851a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmqxmemmqqqqmqmm. Give prob of picking 1 e and 1 q.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the third derivative of 0*s**4 - 1\/14*s**7 + 0*s**3 + 0 - 7\/120*s**6 - 24*s**2 + 0*s - 103\/60*s**5. Find the third derivative of d(b) wrt b.\nAnswer: -360*b - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 60356 - 4949109\/82. Calculate the common denominator of i and -11\/820.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 8:37 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 1 = -2*u + 13, 0 = -x - 3*u + 8. Suppose -2*d = -4*a + 6, -x*a + 3*d - 4*d = -5. Solve 0 = -4*k - a*j - 10, -3*k - 8 = 2*j - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2*p**3 - p**2 - p + 1. Let k(q) = 956*q**3 + 4*q**2 + 4*q - 329. Let n(o) = -k(o) - 4*s(o). What is the derivative of n(c) wrt c?\nAnswer: -2892*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1108277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 437140 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 70086 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -92722*t. Let n(w) = 12*w + 14. Calculate i(n(s)).\nAnswer: -1112664*s - 1298108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 14) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-48)\/64 + (-23)\/(-4). Let q be w\/(5\/(-2)) + 4. Let g(v) = -5*v - v + q - 2. Let m(y) = -2*y**2. Calculate g(m(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20 (base 4) to base 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -1374*o + 9669. What is x(7)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 6\/7*x**4 - 4\/7*x + 2\/7*x**3 - 6\/7*x**2 + 2\/7*x**5 = 0 for x.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -15*l + 5. Let v be c(-5). Suppose 37*d - 745 - 439 = 0. Calculate the greatest common divisor of v and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 + 2 + -2 - -26. What are the prime factors of ((-2)\/4)\/((-2)\/u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 + 7*r**2 + 6*r + 5. Let o be q(8). Which is the biggest value?  (a) 5  (b) -2  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 51 - 9 = 0. Let f be (h\/(-15))\/(4\/(-250)). Let u = f + -36. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34300.055 less than -390?\nAnswer: -34690.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**3 + 642*j**2.\nAnswer: -3*j**2*(j - 214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -454*m + 145*m - 1545 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164*c - 12482 = 4885 - 1623 for c.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -3*o**3 + 2*o + 5*o**3 - 4*o**3 + 2*o**2. Let z = 4 + -10. Let p = -4 - z. Calculate l(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 80167?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 75 + -72 + -6 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes after 3:07 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/108 and 23\/324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2700389941767841 + 3.\nAnswer: 2700389941767844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 771 is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3034571986 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 7, v: 6, h: 2, e: 1, u: 4}. What is prob of sequence uh?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2318 - 2314. Let t(g) = g**2 - 22*g - 4. Let p be t(22). What is the closest to -2\/3 in p, 3\/4, i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) -40  (c) -7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -18.41 to 1 decimal place.\nAnswer: -18.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 168*r**3 + r**2 - 2*r + 2. Let w(h) = h**3 - 7*h**2 + 4*h + 14. Let t be w(6). Let i be f(t). Suppose x - i = -x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((570\/(-1045))\/((-63)\/3))\/(-1)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, 39, 84, 145?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/729 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 5*o + 5799 = 5827, -2*i + o = -36 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6615 + 13781. What is the thousands digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 + 6. Let q(r) = 2 - b - 2*r - 6*r. Let i(k) = k. Give q(i(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -59.81 - -60. Let l = 86.81 - 85. Let n = k + l. What is the nearest to n in 0.4, -1, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 = 4*n - 5*v, 3202*n - 6420*n + 6*v - 28 = -3214*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1950*s + 2790*s - 480843 = -619*s + 502*s for s.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3, -1\/6, 27, -9, 1428, 1, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1580, 1587, 1594, 1601, 1608, 1615?\nAnswer: 1622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 9 + -3 - (1 + 11 - -31).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 + 1 - 3 + 1 - 3*b - 4.\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - 5e4?\nAnswer: -5e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the third derivative of g**6\/120 - 7*g**5\/60 - 17*g**4\/24 - 3*g**3\/2 - 8*g**2 - 4*g. Let q(c) = 0. What is c?\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes after 7:05 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11000101110001100110000111 + 11?\nAnswer: 11000101110001100110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 155677 is divided by 22237?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 147, 153, 169, 201, 255, 337?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 33138317?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2))**14 assuming z is positive.\nAnswer: z**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -161, -422, -695, -986, -1301, -1646, -2027?\n\"Answer: -b**3 - 254*b + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4710 divided by 1570.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 - 7. Which is the third biggest value?  (a) 0  (b) z  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -4*p - 56, -2*p = 2*o - 34 + 8. Let k be ((-132)\/o)\/((-2)\/3). Suppose -2*x = -x - k. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (79*n**2 - 105*n**2 - 129*n**2)*(4 - 1 - 2)*(16*n - 18 + 18).\nAnswer: -2480*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -117\/7, 2, -0.2, 5 in decreasing order.\nAnswer: 5, 2, -0.2, -117\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*t + 4 = -18*t. Put -9, 5, t, -1 in ascending order.\nAnswer: -9, -1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 615*x - 11702 = 156*x - 528*x - 59078 for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12719, 25775, 38829, 51881, 64931, 77979, 91025?\nAnswer: 104069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 - -9. Suppose 0 = -x - a*x - 15. Let d = 1 - x. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/1)\/(0 - 2). Suppose 0 = 3*l - 2*u + 4 + 9, -u + o = 4*l. Let v be (1 - 2)\/(2 - 6). Which is greater: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 12 = -27. What is the second derivative of 11*s + 150*s**w - 70*s**5 - 48*s**5 wrt s?\nAnswer: 640*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17.4 - 11.1. Let i = -87.7 - y. Let p = -94.0002 - i. Round p to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 62240 and 640.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1875 and 45?\nAnswer: 5625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 1738*o - 31319. Give d(18).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s*s**(4\/11)*s*s)*s)\/s*s**(6\/11))**(7\/8) assuming s is positive.\nAnswer: s**(-35\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -1474*d. Let l(s) = -6068*s**2 - 2*s. Calculate p(l(y)).\nAnswer: 8944232*y**2 + 2948*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55257619?\nAnswer: 1163, 47513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*u - 4*u + 4*u - 2*u + 7*u - u + 0*u - 5*u + 3*u + (1 - 1 + 1)*(2*u + u - 4*u) + 4*u - 3*u - 3*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 6158.602 millilitres in litres?\nAnswer: 6.158602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -95314*l*s**2 - 6716*l*s - 128*l + 723*s**2 + 8 wrt s?\nAnswer: -190628*l + 1446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 2*s + 2 = 0, -37*s + 104*s + 67 = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 3857220 = 2*d, -8*d - 4*l = -7*d - 1928616. What is d rounded to the nearest ten thousand?\nAnswer: 1930000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 + -7. Let w be (-204)\/(-540) - (2\/(-5) + 1). What is the third smallest value in w, -0.5, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 303841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * -577.\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve t**5\/6 + 2*t**4\/3 + t**3\/3 - 2*t**2\/3 - t\/2 = 0 for t.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 151 is divided by (78\/(-52))\/((-2)\/17*1\/4)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 126635, 506538, 1139731, 2026232, 3166059, 4559230?\nAnswer: 6205763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 + d**2 + d - 2. Let w(m) = -7*m**3 + 4*m**2 + 4*m + 14. Let c(a) = -6*r(a) - w(a). Calculate c(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -152 + 157. Suppose -3*n - k*y = 1 - 23, n - 3*y = -2. Solve -5*c = -2*a - 27, 3*a + n = -a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**2 + 47*r + 161. Give j(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**2 + 6*j - 2. Let y be l(5). Factor -9*q**2 - 3*q**y + 26*q + 22*q - 54*q.\nAnswer: -3*q*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1941863929 - -4?\nAnswer: -1941863925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide ((-14)\/(-3))\/(2\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/18)\/((1\/10)\/(-1))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -20*x + 1. Let z(o) = -o. Calculate a(z(d)).\nAnswer: 20*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11867365.\nAnswer: 5, 199, 11927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*a**2*x**3 - 389*a**2*x**2 + 5*a**2*x + 3*a**2 + 65255*a*x**3 - 2*a - 5*x**3 + 4*x**2 wrt x?\nAnswer: 54*a**2 + 391530*a - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*p**2*w**3 + 4*p**2*w + 3*p*v**3 - 29*v**3*w**3 - 3*v**3*w wrt w?\nAnswer: -48*p**2*w - 174*v**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2534 (base 8) in base 13?\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5884)\/(-439829))\/(20\/(-195)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -9*l. Let f(k) = 35*k**2. Calculate u(f(s)).\nAnswer: -315*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -14 + 4 + 12 + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18400 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/10 - (-81)\/45. Sort w, 4, -3 in decreasing order.\nAnswer: 4, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2074 + 3995 - 4619 + 4*x**4 + x**3 - 2*x**2 as m + d*x**3 + w*x + a*x**4 + l*x**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6272*a**3 + 407.\nAnswer: 18816*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-9))\/(f**13\/f)*(f*f**(-4\/7)*f)**(-1\/44) assuming f is positive.\nAnswer: f**(-3085\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 39255 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(-1\/5))\/(k\/(k\/(k**(-3)\/k)))*k\/(k*k*k*k*k**0)*k\/k**(-5) assuming k is positive.\nAnswer: k**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the third derivative of -5 - 1\/120*k**6 + 4*k**2 + 0*k**3 + 0*k - 7\/24*k**4 + 17\/60*k**5. What is the second derivative of z(h) wrt h?\nAnswer: -6*h + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -90326244200.65 + 0.03.\nAnswer: -90326244200.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -450 - -889. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 750*j - 752*j = -16*w + 22, j + 7 = 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (35\/(-15))\/(1\/(-27)). Let a = 23 + -14. Suppose -3*w + 4*i = -25, -2*w + a + 8 = -3*i. Calculate the highest common divisor of k and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 16678.91 to the nearest 10.\nAnswer: 16680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pptp when four letters picked without replacement from ptpptttputpuuppp.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**5\/8 - 3*y**4\/2 - y**3\/2 + 24*y**2 - 32*y.\nAnswer: -y*(y - 2)**2*(y + 8)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-175)\/(-25)*1\/483*6.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 15*f = -26*f. Suppose 8*n + 21*n = f. Factor 0*w + 2\/9*w**3 + n - 4\/3*w**2.\nAnswer: 2*w**2*(w - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) 1\/14  (c) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -34034.698 - -33979.697943. Let w = k + 55. What is w rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -h + 4*z, -2*z - 21 = 2*h - 45. Suppose m + 2*s + 152 = 0, 4*m + s - 186 = -787. What is the least common multiple of m\/(-14) - (-4)\/14 and h?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 259\/49 + -6 - ((-3795)\/(-847))\/(-5)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwwo when four letters picked without replacement from wwwowmwowomoww.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*r**5 - 2291*r**3 + 14*r - 691?\nAnswer: -120*r**3 - 13746*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 105 and 165?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the third derivative of -7*j**5\/4 + 73*j**4\/12 - 204*j**2. Find the second derivative of g(f) wrt f.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 + 49*g - 13. What are the prime factors of u(17)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/80 of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4069330 is divided by 2622?\nAnswer: 2608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 294601?\nAnswer: 151, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + r**3 + 0)*(30 - 30 + 22*r) + 3*r**3 + 2*r - 3*r**3 + 2*r**4.\nAnswer: 24*r**4 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j**2 + j**3 + 3*j**2)*(-6*j + 2*j + 3*j) + (-3*j**4 + 0 + 0)*(1 - 2 + 2).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97*w - 96*w = 130*y + 394, -w - 6 = 6*y - 2*y + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 - 38 = -3*m - h, 0 = 5*m + 4*h - 101. Let u(a) = -14*a - 20. Let t(y) = 5*y + 5. Let r(l) = -1. Let d(n) = 2*r(n) - t(n). Calculate m*d(s) - 6*u(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5)\/(-2)*(1 + 1). Put h, 3, -20 in increasing order.\nAnswer: -20, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 28*p**2 - 1. Let r(w) = 28*w + 1. Calculate r(x(f)).\nAnswer: 784*f**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 12*m**2 + 18*m**2 - 3*m**2. Let g(q) = 2*q. What is z(g(r))?\nAnswer: 108*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.7 in -2\/55925, 4, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 139296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 0*f + 10 = 0. Let c be (3\/(-9))\/(f\/30). Let w = 70.48 + -71.48. What is the biggest value in -2\/9, c, w, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27074987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-164)\/(-123)*(-5)\/(735\/63).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 6:41 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*q - 25*q**2 + 0*q**2 - 67*q**2 - q**3 - 37*q**2 as w + r*q + f*q**2 + k*q**3 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 36636732 and 6831.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*k**2 + 0*k**2 - 2*k**2)*(-22*k**2 + 12*k + 24*k**2 + 10*k) to s + t*k**3 + m*k + u*k**4 + h*k**2 and give t.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.6*-5.8.\nAnswer: -15.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((-2*sqrt(120) - sqrt(120) - sqrt(120)) + sqrt(120))\/sqrt(5))\/(-1*sqrt(1200)*-1).\nAnswer: -9*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9936 and 77280?\nAnswer: 695520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -458239, -458260, -458297, -458350, -458419?\nAnswer: -458504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 7*l - 30 = 0. Let p = l - 4. What is the remainder when 4\/6 - (-7)\/3 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 39 + 182. Let n = -4200\/19 + w. Let j = 47 + -42. Sort j, -5, n in descending order.\nAnswer: j, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*n + 4. Suppose -5*i = -3*d - 22, i - 5*d + 10 = n*i. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -78485011*m**2. Let f(r) = -2*r**2. What is c(f(v))?\nAnswer: -313940044*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -o**3\/4 - 907931*o**2 + 1815863*o = 0. What is o?\nAnswer: -3631726, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -257 - c?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4*((-84)\/16 + 5). Suppose -28*a = -27*a - p. Solve a = -0*t - t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 - (4 + -1 + -4). Suppose b + b + 3*v - 4600000 = 0, 5*v = -u*b + 4600000. What is b rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1281\/9 - 8\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**2 - j + 1. Suppose -2*p - 34 = -0*p. Let s = p - -15. Give t(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.439 rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4043 + 1304. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 + 8*j - 6. Let x be b(6). Let g = x + -4. Does 4 divide 4 + g + (-2 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -11 - 3. Let o = -372 + y. Let z = 741 + o. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5683968 by 576.\nAnswer: 9868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 181*t - 156 + 17 - 182*t + 77.\nAnswer: -t - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*j + 38*j = 0. Let l be ((j - 3)\/(-3))\/(-2 + 3). Put l, -1, 5 in decreasing order.\nAnswer: 5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2 + 12*m + 24. Let t be y(-10). Let h(g) = 5*g + 56. Let p be h(t). Calculate the highest common divisor of 19 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/18 and -97\/968.\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -13665294.66 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from {n: 1, j: 1, d: 6, y: 6, t: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - -0.6. Let q = 2.6 + -5.5. Let t = q - -2.95. What is the second smallest value in 5, o, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -24201303 - 5?\nAnswer: -24201312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 19173290?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -619\/7 + 89. Which is the nearest to u?  (a) 0  (b) -3  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.05 and -5223\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -19, 133, -2 in descending order.\nAnswer: 133, 1, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/1997044 and -87\/23644?\nAnswer: 513240308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -243.27 + 51.97. Which is greater: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**2\/9 - 3388156*n\/9 + 199908166\/9.\nAnswer: -2*(n - 59)*(n + 1694137)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-2 + 5)*11\/33\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1418372 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/2*16 + -2. Suppose 5 = a + 3*a - b, 3*a - 4*b = -n. Suppose 2*h - a*s - s - 49 = 0, 66 = 3*h - 2*s. Solve -2*y + 3 = p + 2, -h = -4*y + 4*p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44501 (base 6) in base 14?\nAnswer: 23ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-14)\/(-35) - 48\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = -2*i. Let m(x) be the third derivative of 3*x**2 - 1\/150*x**5 + i*x - 1\/525*x**7 + 0 + 1\/150*x**6 + 0*x**3 + 0*x**4. Find p, given that m(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*z + 20963 = 1523. Suppose z = 5*g - 9415. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-33)\/220*5*(126\/(-6) - 3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*r - 62 = -14. Sort -18, 1, r in increasing order.\nAnswer: -18, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -2 + 2 - 1 - t. Suppose 0*p - 4*d + 4 = p, -3*p + 5*d - 5 = 0. What is r(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 334237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 19 - 5)*(-z - z + 0*z) - 81*z + 85*z + 65*z + 2 - 2*z - 2 - 2 + 2 - 2*z - 2*z + 3 - 3 + z + z - z + 2*z - 3*z + 3*z + (-3 - 2 + 3)*(0*z - z + 0*z).\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbbwbbbbbwbmbwmmwbb. What is prob of picking 2 b and 1 w?\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 4*j + 2. Let r(v) = -3 + 13*v - 2 - 21*v. Give -5*p(m) - 2*r(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 58, 48, 36, 22?\n\"Answer: -l**2 - 7*l + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*j + 500 = 20*j. Calculate the remainder when j is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -12190, -11470, -9522, -5734, 506, 9810, 22790?\n\"Answer: 102*r**3 + 2*r**2 - 12294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of -p**5\/60 - 11*p**4\/24 + 55*p**2. Let r(n) = 0. What is n?\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 511 is divided by 150.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-101 - 30) + (-71 - -92)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, 64, 34, 3\/4, -1\/3?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 2*b + 1402622, 701314 = -6273*b + 6272*b - n. What is b rounded to the nearest 10000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t**2 + 2*t**2 + 0*t**2)*(5*t**2 - 12*t**3 + 1101*t - 1101*t).\nAnswer: -12*t**5 + 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 564049611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7*f**2*y**2 - 2*f**2*y - 2*f**2 - 3*y**2 - 58*y with respect to f.\nAnswer: 14*f*y**2 - 4*f*y - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -93081 and -169?\nAnswer: 15730689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3295650068 to the power of 1\/2, to the nearest integer?\nAnswer: 57408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 721*r - 3 = 720*r. Let t = -6 + 9. Calculate the remainder when r is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6148*0.4.\nAnswer: 2459.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 != -133.00689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2736912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3778, 6893, 10008, 13123?\nAnswer: 16238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/11  (b) 0  (c) 1  (d) 2\/81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-4)*(-3)\/45*-15*16\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(285)\/sqrt(5))\/sqrt(3))**2 + (sqrt(475) + 2)**2 + -5 + ((sqrt(38)*2)\/sqrt(2))**2.\nAnswer: 20*sqrt(19) + 569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132*v = 142*v + 10. Which is greater: v or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the first derivative of 49 + 8*p + 4*p - p**2 - 22*p + 9*p. Give o(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*k*q**2 + 68*k*q + 2*k + 40*q**2 wrt q?\nAnswer: -4*k + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -87 divided by -87?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -139*z - 17*z - 166*z - 29*z.\nAnswer: -351*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 4*h - 2814, -9*h + k = -5*h - 2811. Let q = h + -191. Calculate the greatest common factor of q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2*(3 + 10\/(-4)). Let m be r*3 + (-5)\/(-5). Does 17 divide (32 - m)*6\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30594002771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 23 - (-3 - (-17 + -14))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2474, 4947, 7420, 9893, 12366, 14839?\n\"Answer: 2473*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from nlbbbbdd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 68, 67, 66, 65, 64?\n\"Answer: -f + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y - 1 + 4. Suppose -3*c = -c + n - 413, -630 = -y*c + 2*n. Is c a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (2 - (2 + (-4 - -11)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/2*8\/12. Is m > -2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/(3\/(-2)) + -2 + 16. Suppose -2*l + 6*l + v = -2*c, 0 = 5*l + 20. Suppose -2*s - 5*o = 94, 3*o + 24 + 108 = -3*s. Is s not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -6 - (32\/(-12) - (-1)\/(-3)). Let w be -3*24\/18*q\/4. List the prime factors of w*8\/(-30) + (-849)\/(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*w - 3*w**3 + 2*w**3 - 1 - 6*w - 4*w to the form i*w**2 + u*w**3 + g + q*w and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 d, and 2 f when four letters picked without replacement from {z: 1, d: 7, f: 6}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 - -71 - (8 + -2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 174394 is divided by 84?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the first derivative of d**3 + 13*d + 5. Is l(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*n**2*u*z**3 - 3*n**2*u*z - 58*n**2*z**2 + 3*n*z**3 - 4*u*z**3 wrt z?\nAnswer: -12*n**2*u + 18*n - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes before 11:43 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**3 + 65*w**2 - 205*w - 107. Let j be z(-68). Which is the nearest to -0.1?  (a) -2\/3  (b) j  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -58753*z**2. Let g(r) = 235*r**2. Give x(g(j)).\nAnswer: -3244634425*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of -35*q**2\/2 - 32*q - 308. Let s be j(-1). Solve -8 = -s*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-40)\/60)\/(94\/12*2).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 + 38 + -6 + -2 + 0 + 1 + -82?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -495 + 1060. Suppose -4*o - 1494 = -2*g, -3*o + 207 = g - j. List the prime factors of g.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -30772, -61643, -92616, -123697, -154892, -186207, -217648?\n\"Answer: -s**3 - 45*s**2 - 30729*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8727*g + 24269*g + 357466 = 0 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -43348, -43346, -43346, -43348?\nAnswer: -43352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + 5. Let l be q\/((-1)\/2 + 6\/4). Suppose -2*z + 3*d + l = -7*z, 3*d = -z - 13. Let n(i) = -i**2. Let h(u) = u**2 - u. Give z*n(j) + h(j).\nAnswer: -j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (250\/(-126) + 2)*2. Suppose 25*m - 17*m - 40 = 0. Suppose -8*q - 4*g + 4 = -11*q, 5*q - m*g + 5 = 0. Which is bigger: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - 4. Suppose 0 = 5*h + 3*p - 621, 4 = -11*p + 13*p. Let u = h + -120. Solve -z*q - u = 4*s, q - 2*s - 4 = -5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((3 - 544\/(-48)) + -15)\/((-4)\/(-30)). Let o(s) = -3*s + 36. Let q(u) = -u + 18. What is a*q(w) + 2*o(w)?\nAnswer: -w - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/4, 0.03, 0.095, 0, 0.08?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 55700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1937, 1953, 1943, 1895, 1797, 1637, 1403?\nAnswer: 1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in i - 140 + 140 + 11*i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*-4 + (-72)\/540*(-435)\/2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:49 AM and 4:38 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -5*i**3 + 4*i**2 + 10*i - 8. Is w(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/7, -1, -3\/4, 4, 1\/2, -48\/13 in decreasing order.\nAnswer: 4, 1\/2, 1\/7, -3\/4, -1, -48\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*z - 16*z = 22*z - 352 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(-162)\/(-81)*-2*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3515 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4  (b) -1  (c) 0.05  (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-4 + (-4*1*sqrt(98) - 4*(0 + sqrt(98))))**2.\nAnswer: 448*sqrt(2) + 6289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 24*h*m**3 - 58710*h*m - h + 18*m**3 + 1581561*m wrt h.\nAnswer: 24*m**3 - 58710*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 186960 and 8094?\nAnswer: 13274160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 88463618 to the power of 1\/2, to the nearest integer?\nAnswer: 9406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -75796 (base 16) to base 14\nAnswer: -c74d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8924365 a multiple of 560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*r - 4*r - 766 - 907 + 1673.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**3\/2 - 9*y**2.\nAnswer: y**2*(y - 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -422.789 rounded to the nearest integer?\nAnswer: -423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is b35c46 (base 15) in base 16?\nAnswer: 821361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 364442 by -5.\nAnswer: -364442\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:25 PM and 12:30 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 286692, 1146720, 2580086, 4586778, 7166784, 10320092, 14046690, 18346566?\n\"Answer: -2*v**3 + 286681*v**2 - v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 93365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 - 5. Sort 0.2, x, 0.4 in increasing order.\nAnswer: 0.2, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -d**4\/7 + 2*d**3\/7 + 27*d**2 - 542*d\/7 - 104 = 0?\nAnswer: -14, -1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 9:00 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-1\/3)*((m\/(m*(m\/m**(-2))\/m))\/m*m)\/m)\/(m*m*m*m**(7\/2)*m**(3\/14)\/m) assuming m is positive.\nAnswer: m**(-169\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (56\/12)\/(38\/(-57))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**2 + 30*g + 147. What is the lowest common multiple of 4 and d(-4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12213 + 21?\nAnswer: -12132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(500) - sqrt(500)*1*-6)\/(sqrt(40) - (sqrt(40) - (sqrt(160) - sqrt(40))) - -1*sqrt(250)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41088?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*q + 17 = 36*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - ((-6 - 1) + 12) - -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.5 - -1.5. Let y = -0.9 + k. Let t = 0.2 - 0.7. Which is the smallest value?  (a) -0.2  (b) y  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1007 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -2  (b) 2\/87  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-12)*4)\/((-3)\/60).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -15?  (a) -0.4  (b) -0.5  (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the second derivative of 0 + 0*s**2 - 5\/6*s**3 - 79*s. Calculate o(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**2 + 13*g - 45. Let f be t(-24). Solve -20*w + 224*w**5 + 15*w**3 + f*w**5 - 448*w**5 + 20*w**2 - 10*w**4 = 0 for w.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + 139 = 18*h + 48 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 20\/(-5) + 8\/2. Suppose -3*s - 2*y + 13 = d, 7 = 5*s - 2*y - 20. Put 2, 3, s in descending order.\nAnswer: s, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -2*a + 130. List the prime factors of u(0).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-48)\/(-32)*94\/3?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11)\/66 + 8*232\/(-384).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.4 + -0.2. Let r be 18\/(-6) - (-50)\/18. Sort r, k, 2\/9 in decreasing order.\nAnswer: 2\/9, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 24, 56.96, -2\/5 in ascending order.\nAnswer: -2\/5, 24, 56.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in 0.3, -71, 2\/11, -2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1703 + 3?\nAnswer: -1700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of y**3\/3 - y**2 + 11*y - 12. Calculate the remainder when z(6) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1, -16413, 3\/8, -0.1, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 63 (base 9) to base 13.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -2*x**2 + 7*x + 4. Suppose 30 = 3*j + 5*m - 21, -4*j + m + 45 = 0. Let r(s) = 9*s + 4 - j + s**2 - 10*s + 7. What is g(i) + 5*r(i)?\nAnswer: 3*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -65 + 14 + 144 + -128\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12\/42 - (-8214)\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 1. Suppose -2*x + 0*x - 10 = i, x = -5*b + 10. Suppose -p - b = -3*w, -4*w + 3 = 5*p - 1. Is w smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.015981196722 + -9.9.\nAnswer: -9.915981196722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 - -12. Let n be w\/12 + (-1)\/3. Solve -4*c + n*c = 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 5 = -5*n, 4*n - 11 = 2*k + 3*n. Let z = -92.96 + 93. Let o be (-20)\/6 + (-3)\/(-9). What is the third biggest value in k, o, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1836))\/(sqrt(30)\/sqrt(490)).\nAnswer: -42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 22 and 0.11749.\nAnswer: 22.11749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8, 21, 34?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1212 + 1070264?\nAnswer: 1071476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 46a0 (base 12) in base 9?\nAnswer: 11743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.06, 40, -17 in increasing order.\nAnswer: -17, -0.06, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and -95.\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = -4*v + 8. Suppose -3 = -b, 2*w + 2*w - v*b = 642. Suppose 3*k - 201 = w. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.2945 + 0.0055. Let y(i) = i**2 + 3*i. Let v be y(-6). Suppose 5*x - v = -3*z, 4*x - 5*z = 2*x + 1. What is the biggest value in b, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14\/11*u**2 + 18\/11 + 30\/11*u + 2\/11*u**3 = 0. What is u?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-11*2*(-1)\/14)\/(190*(-322)\/85652)\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5733 greater than or equal to 26\/95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 9231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-377)\/(-28) + -1864 + 1857 - (-7)\/(-4).\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -26572, -26571, -26570, -26569?\n\"Answer: r - 26573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*c**2 + 0*c**2 + 3*c**2)*(3*c + 2 - 2)*(-2*c - c + c) + (2*c**2 - 2*c**2 + c**2)*(c**2 - 2 + 2).\nAnswer: 13*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the third derivative of a**4\/24 + 2*a**2. Let l be k(2). Suppose -u + 15 = 4*u. Solve -u*o = l*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2f4 + -2?\nAnswer: 2f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/(-8)*(-142)\/(-3). Let t(i) = 4*i**2 + 3*i + 3. Let c be t(-1). Suppose -c*p = -w + 19. Calculate the remainder when 36 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**2 + 3*g. Let a(j) = -j**2 - 1. Suppose -6*w + 15*w = -612. Let y = 67 + w. Calculate y*s(k) + 2*a(k).\nAnswer: -k**2 - 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {e: 4, o: 4, u: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 9 = -2*t + 16, -3*j = -2*t + 13. Suppose -3*f - 2*w + t = 2*w, -5*f + w + 26 = 0. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-88 - (2 + -3)) + -2 + 1. Calculate the remainder when 19 is divided by (v\/(-40))\/((-2)\/10*-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8 + 5 + 4)*(30*n + 42*n - 73*n + 16) + (2 + 2 - 6)*(2*n + 4 - 4) + 2*n - 6*n + 3*n + (2 + 1 - 2)*(-3*n + 4*n - 2*n) to x*n + p and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of -20 + 4\/3*n**3 + 0*n + 5*n**2. Let r(d) = d**2. What is r(m(s))?\nAnswer: 16*s**4 + 80*s**3 + 100*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5.85 - -2336.\nAnswer: 2330.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = 3*b - 25, -112771*i = -112818*i + b + 330 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2 - 16*m - 11. Let k be i(17). Solve k = -q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/6 - (-24)\/18. Which is the nearest to -6?  (a) 3  (b) 2\/5  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-88)\/154)\/((-9)\/27 - (-121)\/21)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of h**3*m**4 - 4*h**3*m - 1563*h*m**2 - 2*h*m + 227546*m**4 wrt m.\nAnswer: 24*h**3*m + 5461104*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 116657, 116656, 116655, 116654, 116653?\n\"Answer: -m + 116658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.32 + -1.4. Let o = -0.02 + l. What is the closest to o in 3, -2\/11, 2\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -469  (b) 0  (c) 0.2  (d) 0.03734\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 55*r**2 + 3*r - 2. Let x be w(1). Suppose -4*g + x = -2*g. What is the highest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -50016 (base 9) to base 13.\nAnswer: -11c28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**2 - 2*h - 12. Suppose r - 7 = -0. Let q be j(r). Let d = 28 - q. Sort -2, -4, d in increasing order.\nAnswer: -4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 66 and 2519.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 19.11585 days?\nAnswer: 458.7804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24465.\nAnswer: 3, 5, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 426*q**3 + 0*q + 0*q.\nAnswer: 426*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/18883 or 1?\nAnswer: 2\/18883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2434, 4952, 7476, 10006, 12542, 15084?\nAnswer: 17632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 17 = -m - o, 0 = -2*o + 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, 3, -3\/8, -41\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 21.21  (b) -284  (c) -0.2  (d) 1  (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2280 divided by 570.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -39751 - -59825253\/1505. Let k = 4411\/78260 - y. Let h = 4\/13 - k. What is the nearest to -1 in -0.3, h, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l + 4*l = -3*w + 27, -2*w + 12 = 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**3 - 9*j**2 + 3*j + 20. Let g be z(-9). Put -2, g, -3 in decreasing order.\nAnswer: -2, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 36 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(84)\/(sqrt(108)\/(sqrt(9)*1)) + -2.\nAnswer: -2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -982008 and 0.05.\nAnswer: -49100.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 3*x + 16 = 49, -4*t + x = -49. Let s = -24 + 16. Let h = -3 - s. Solve t = h*c - 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 - 48 = -2*w. Calculate the remainder when 113 is divided by w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 + -9. What is the closest to 2 in p, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 127.7341 decades to years.\nAnswer: 1277.341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/((-2)\/(-8) - (-49)\/(-28)). Put -0.2, l, 5, -2\/3 in decreasing order.\nAnswer: 5, l, -0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (734 - 679 + l**3 + 0*l**3)*(-l**2 + 3*l**2 + 0*l**2).\nAnswer: 2*l**5 + 110*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -3*j**3 - 17*j**2 + 263*j + 2597. Determine n(-11).\nAnswer: 1640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 + 6*h - 9. Let y be w(-7). Let q be (1\/y)\/((-2)\/12). Suppose -3*o + 4 = k, -q*k + 4 = 5*o - 2*k. Solve 3*g - 6 = -o*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (9 - -19)\/(8 + (-99)\/11)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6638549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(612) + (-3*sqrt(17)*-6 - sqrt(17)).\nAnswer: -1 + 23*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -50530200 rounded to the nearest one million?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.18 + 37.\nAnswer: 37.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8595*v - 902*v**2 - 6 - v**4 + 6 + 8593*v + 3*v**4 to the form f*v + m*v**2 + c + t*v**4 + k*v**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 4*t = t - 15, -2*f + 6 = -2*t. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -167 - -167. Suppose 36 - 4 = 4*x. Suppose 2 = -7*k + x*k. Solve k*z - 3*z + 1 = w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6920\/580415*(-110)\/120?\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q\/(q*q**(-2\/9))*q\/(q**(3\/2)\/q))\/((q*q*q*q**(4\/5))\/q*q**(2\/5)) assuming q is positive.\nAnswer: q**(-133\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - s. Suppose 0 = -s*m - m - 2. What are the prime factors of 1101\/27 + m\/(-9)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -a - 6 - 162*a**2 + 8 + 46*a**2 - 2 to the form k*a + d + j*a**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 855392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l - 8. Let i be h(10). Let k be (23*i)\/(520\/22). Let o = -24\/13 + k. Which is the third biggest value?  (a) -0.2  (b) 4  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the second derivative of -b**5\/120 - b**4\/24 + 2*b**3\/3 + 4*b. Let d(p) be the second derivative of t(p). Let j be d(-3). Solve -j + 6 = -4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -27 or -116?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -7 + 1. Does 17 divide (3\/k)\/((-1)\/(-94))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7567, 7561, 7555, 7549, 7543, 7537?\nAnswer: 7531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -3*a**2 - 11*a + 3. Let s(z) = -1. Let t(l) = -c(l) - 6*s(l). Calculate the remainder when t(-4) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -4978, -4966, -4954, -4942, -4930?\n\"Answer: 12*x - 4990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**5\/11 - 8*x**4\/11 - 24*x**3\/11 + 64*x**2\/11 + 128*x\/11.\nAnswer: 2*x*(x - 4)**2*(x + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - -10011001001110000010000?\nAnswer: 10011001001110000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 56, 87, 126, 167, 204?\n\"Answer: -d**3 + 10*d**2 + 8*d + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -41665*k*o*x**2 - k*o + 1589*k*x**2 - 2*k*x - 11*k + 2*o**2 + 5*x**2 with respect to o.\nAnswer: -41665*k*x**2 - k + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 109*g**2 - 13 + g**4 - 56*g**2 - 54*g**2 as o*g**2 + i*g**4 + x*g + r + d*g**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - -5. Let u = -2 + 3. What is the highest common factor of p and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -5  (c) 1\/5  (d) -2\/23  (e) 3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 53346*d - 7516*d - 12 + 19.\nAnswer: 45830*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 14544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24) + -5*sqrt(72)\/sqrt(3))\/sqrt(12).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and 14637.\nAnswer: 73185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -147 - 7*r + 147.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-16 - (-14 + 6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2 and -1077427233.\nAnswer: -1077427235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -87\/836 and (-51350)\/19000 - (-1 - (4 - 2))?\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 129 - 119. Let n(t) = -t**3 + 17*t**2 - 70*t + 2. Let k be n(r). Factor -4\/9*h + 0 + 2\/9*h**3 + 2\/9*h**k.\nAnswer: 2*h*(h - 1)*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1410029 is divided by 2696?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the second derivative of -23\/6*m**3 - 1\/12*m**4 - 3*m + 15*m**2 + 2. Let n be g(-24). Solve 0 = 4*p - 5*q - 4 + n, p - 5*q = -8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18755 = 2*b - 5*s, -2*b + b + 4*s + 9376 = 0. Let q be (1590\/b)\/((-1)\/2). Let i = -6\/67 + q. What is the nearest to -2\/3 in -0.3, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2450 (base 7) to base 16.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1139, 2174, 3421, 4988, 6983, 9514, 12689, 16616?\nAnswer: 21403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the third derivative of x**6\/40 - x**5\/15 + x**4\/12 + 2*x**2. Let w be j(2). Let z = 35 - w. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**3\/8 + 161*h**2\/8 + 315*h\/8 - 477\/8.\nAnswer: (h - 1)*(h + 3)*(h + 159)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 102 (base 3) to base 14\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-3*2*sqrt(114) - sqrt(114) - (sqrt(114) - -4*sqrt(114)*-2)))\/(-1*sqrt(384)*-5 + sqrt(384) + sqrt(384)*-2*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 2\/21, 1\/5, 2\/9, -4 in descending order.\nAnswer: 2\/9, 1\/5, 2\/21, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000028628 rounded to 7 decimal places?\nAnswer: -0.0000286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*m*p**2 - 29448*m*p - 6*m*z - 3*m + 6051*p**2*z + p**2 + 874*p*z**2 + 3 wrt z.\nAnswer: -6*m + 6051*p**2 + 1748*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21 + ((-20)\/(-14) - (-694078)\/35574)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -83\/4 greater than or equal to -3.35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(1\/2))**(8\/19)\/((p\/(p*p*p**3*p))\/p*p*((p\/(p*p\/(p*p**(1\/9))))\/p)\/p))\/(p**(1\/14)\/(p\/(((p*p*p*p*p**(-8)*p*p)\/p)\/p)))**(3\/10) assuming p is positive.\nAnswer: p**(205357\/23940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1032 - -1044. Suppose 4*j = v + 3*j - 1, -4 = 3*v + 4*j. Solve v = -2*k - k - h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*f + 3*f - 306. Let q be ((-5)\/(-10))\/((-2)\/f). Let i = q + 25. Which is the second smallest value?  (a) i  (b) 0.1  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 170583*x**2 - 341238*x**2 + 170647*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 35 + -30. Let m = -0.1 - 0.9. Let k = m - -1.5. Sort k, a, -1\/4 in descending order.\nAnswer: a, k, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3507173 = -3*f - 2*b, 12*f - 5845281 = 7*f + 4*b. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 18*r**2 + 9*r**2 + 13*r**2 - 43*r**2. Let v(l) = -1644*l**2. Give v(p(w)).\nAnswer: -14796*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1271\/17794 - (-562)\/(-28)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (-3 - -1) - (484 + -474)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26*r + 27*r + 6*r)*(-6*r - 5*r + r).\nAnswer: -590*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/3*6\/(-8). Suppose 34 - 74 = -4*m. Suppose 0 = o + 3*n + 7, 2*o = -4*n + 4 - m. Put o, 4, f in decreasing order.\nAnswer: o, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 542 = 5*a + 142. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 27 and 1.363463443?\nAnswer: 25.636536557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.3, 3, -0.15, -340 in ascending order.\nAnswer: -340, -1, -0.15, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of -2*w - 2\/3*w**3 + 3 - w**2. Let a(g) be the first derivative of n(g). Determine a(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 1\/6  (b) -1\/3  (c) 1\/2  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 10) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + 1. Let l(k) = k**2 + 23*k + 20. Let p be l(-22). What is the biggest value in m, 1, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 869 + -236. List the prime factors of r.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 22626 - 271511\/12. Let i(u) be the second derivative of -z*u**3 + 1\/40*u**5 - 1\/6*u**4 + u**2 - 22*u + 0. Determine c so that i(c) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 68, -2\/5, -6\/5 in decreasing order.\nAnswer: 68, -2\/5, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 2*s**3. Let w be x(-1). Is ((-120)\/(-18))\/(w\/(-9)) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y + 12. Let p be f(-11). Let b be -8*(-1)\/(p + -3) - -2. Let k be b\/4*7\/(-28). What is the second biggest value in k, -5, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 6\/25 of a microsecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*a**2 + 8*a**2 + 3*a**2 + a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6720*l - 671950 + 53710 = 0 for l.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g + g - 3*g)*(4*g - 2*g + 0*g) + 5*g + 2*g**2 - 5*g + (-g - g + g)*(10*g - 2*g + g).\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**2 - i - 1. Let u(t) = 7*t + 0 + t**3 + 4*t**2 - t + 4. Let k be 10\/(-6) - (-136)\/(-102). Let h be 0 + (-5 - -4 - -3) + k. Give h*u(n) - 4*l(n).\nAnswer: -n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 5*p - 3. Give o(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + 2164 = 51*j + 2141, -3*j - 4*g = -94 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - ((-7 - -4) + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*t - 21*t - 64*t.\nAnswer: -101*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 23 + -26. Let z be (-91)\/(-42) - 2\/(-3)*n. Suppose 0 + 2\/3*o**2 + 2\/3*o + z*o**3 = 0. Calculate o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1850, 0, -21, 9 in descending order.\nAnswer: 9, 0, -21, -1850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07 - -1677?\nAnswer: 1677.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 163.45371 hours in weeks?\nAnswer: 0.97293875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3\/(-2))\/(3\/(-6)). Suppose -6 = -3*s + y. Solve 2*c = 5*w + 19, 7*c - s*c - 3*w = 17 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 3 p when four letters picked without replacement from {z: 12, p: 4, o: 1, x: 3}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 9\/(-3) - (-6 + 6 + -227). Calculate the greatest common divisor of 28 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 147984 - 267124. Let j = v - -17156051\/144. Let k = -5\/16 - j. What is the nearest to -1 in 5, 1\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -9 + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of 16\/3*z**3 + 0*z - 26 + 0*z**2 + 6*z**4. Find the third derivative of s(w) wrt w.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**2. Let y(l) = -1398*l + 10. Calculate y(r(p)).\nAnswer: -1398*p**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 12682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**1*(x*x\/((x**9\/x)\/x)*x*x)\/x*x**11*x**11\/x*x*x)**43 assuming x is positive.\nAnswer: x**860","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**7*r*r**(-7)*r)\/(r*r**(-1\/2)*r*((r**(-1\/5)*r)\/r*r)\/r)*((r*r**(-1\/2))\/r)**(1\/6)\/(r\/(r*r*r\/((r**6\/r)\/r*r)*r*r*r)*r*r**(-2\/5)) assuming r is positive.\nAnswer: r**(1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -404 or -382?\nAnswer: -382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:02 AM and 3:28 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = -4*h + 8, 7*h - 10*h = 3*m - 27 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -s**2\/2 + 10088*s - 50883872 = 0.\nAnswer: 10088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -84 divided by 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*o + 21735 = 45*o + 44*o. Suppose -3*l + 4*z = -73, -18 = -0*l - l - 5*z. Calculate the highest common factor of o and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 - 1 - (-1 - 0). Let c(j) = j + 3. Let d be c(s). Suppose -x = -5*u + 73, -d*x - 23 = -0*u - u. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3477*a**2 - 1540*a**2 + 14387*a**2.\nAnswer: 16324*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4537746442.\nAnswer: 2, 1613, 1406617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/23, -2\/11, -13.\nAnswer: -13, -2\/11, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 191 is divided by 54.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 44 divided by 3\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(720) + sqrt(20))\/(sqrt(10) - 5*sqrt(10)*1) + -6*(-2 + sqrt(2) + 2 + -2 + sqrt(2))**2 + -1.\nAnswer: -73 + 179*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -62336333 and -1115.\nAnswer: -62337448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 12 + -16 + 10 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -1 - (4 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -0.07  (b) -3  (c) -52\/7  (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 978919210 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6\/7, 3, 2\/91.\nAnswer: -6\/7, 2\/91, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 18272 less than 3?\nAnswer: -18269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 132 and 114664?\nAnswer: 343992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 PM and 9:39 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-1\/6))**12\/(p*(p*p**(-6\/5)*p)\/p*p*p*p*(p\/(p*p**(-8\/5)*p))\/p) assuming p is positive.\nAnswer: p**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2944226 - -94347599\/32. Let j = d - 4136. Calculate the common denominator of j and -65\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -5, -12.1, -4, -0.4, 1\/4, -22\/7?\nAnswer: -12.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 38970*d**2*x**2 + 5*d**2*x - d**2 + 162*d wrt x?\nAnswer: 77940*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17 - (1 - 44)) + -10.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 24 = -2*q. Suppose 68 = -n + q*n + 4*w, -41 = -n - 5*w. Let g(y) = -y**2 + 5. Let t be g(0). Solve -u = -4*a + n, 5*a - 2*a + 5 = t*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y - 4. Let l be c(-6). Let g(w) = -5 + 2*w**l - w**2 + 0*w - 3*w. Let x be g(10). What is the highest common factor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that n**4\/5 - 68893*n**3\/5 + 7497774*n**2\/5 - 21873312*n\/5 = 0.\nAnswer: 0, 3, 106, 68784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p = 3*f + 60, 0 = 2*p - 296194*f + 296199*f + 43 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.008878535 to four decimal places.\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - o - 138 = 0, -3*k + 239 = 5*o - 159. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (2 - 4) - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2736) - (-2 + sqrt(2736))) + sqrt(2736) + 5 + sqrt(2736)*1 + 4 + 2)**2.\nAnswer: 624*sqrt(19) + 11113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1\/5925 - -53329\/23700. Let q(m) be the third derivative of 12*m**2 + 4*m**4 + 0*m - 2*m**3 - d*m**5 + 0 - 81\/40*m**6. Factor q(g).\nAnswer: -3*(g + 1)*(9*g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2759491?\nAnswer: 7, 17, 23189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -370*c**2 - 6*c + 14. Let v(z) = 365*z**2 + 5*z - 12. Let p(n) = 5*r(n) + 6*v(n). Let s(j) = -j. Give p(s(t)).\nAnswer: 340*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7634\/15 - -509. Let u(v) be the third derivative of 1\/150*v**5 - 4*v**2 + 0 + 0*v - 1\/120*v**4 - h*v**3 + 1\/600*v**6. Factor u(k).\nAnswer: (k - 1)*(k + 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:22 AM and 11:05 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*(5 + -6))\/((-1)\/(-41)) + (-1854 - -1855)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/13  (b) -4  (c) -0.5  (d) -14  (e) -0.36\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.3 - -0.7. Let l = -1.62 + -2.38. What is the nearest to 0 in 5, d, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 98 = 4*q + 30. Calculate the greatest common factor of 34 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8)\/(-24) + 22\/6. Solve -q*r + 14 = 2*m, -16 = -2*r - 3*m - m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 31335170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 29641536361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 389 is divided by (-60)\/(-7)*7 + 12.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 537*k - 2067*k + 957*k.\nAnswer: -573*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + t + 55 = -t, 4*t = -o - 25. Let a = o - -27. What is the lowest common multiple of 6 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53137.\nAnswer: 7, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 48249 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 + 4 + r)*(3 - r - 3) + 125*r**2 + 302*r**2 + 6*r**2 + (0 - r + 0)*(-r - 2*r + r))*(6*r + r - 5*r).\nAnswer: 868*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 291 and 4830891?\nAnswer: 4830891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does -111801 = -111801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -26  (b) -491  (c) -0.2  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -5*r + 2. Let n(o) = 9*o - 3. Let a(q) be the first derivative of q**3\/3 + 7*q**2\/2 + 11*q + 85. Let x be a(-7). Give x*j(g) + 6*n(g).\nAnswer: -g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -19592*r*s**2 + 295*r*s - 3*r + 1310083*s**2 - 6*s + 2 wrt r?\nAnswer: -19592*s**2 + 295*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2908 + 2992. What is the highest common factor of 966 and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 - 12. Let b = -1.2 - w. Sort -1\/8, -0.5, b.\nAnswer: -0.5, b, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 6, c: 3, y: 2, k: 1}. Give prob of sequence kyc.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 9391676 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 11:39 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12380 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -4, -55, -5\/48, 341?\nAnswer: -5\/48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 2*h + 12. Let s be d(4). Let p = -14001\/20 + 2877\/4. Which is smaller: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h + 23*h + 762*h**3 - 2902*h**3 - 24*h.\nAnswer: -2140*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 48605*i + 923499. Determine c(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is 507742556 divided by 126935639?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/((-42)\/(-9) - 5). Is r\/((-60)\/54428) - (-6)\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -28, 3\/2, -243, -3, 3.4 in decreasing order.\nAnswer: 3.4, 3\/2, -3, -4, -28, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 121\/20 and (0 - 3) + (-363)\/22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-192)\/(-56))\/(20\/56). Factor 24\/5*a**3 - 3\/5*a**4 - q + 96\/5*a - 72\/5*a**2.\nAnswer: -3*(a - 2)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 355533535.\nAnswer: 5, 7, 233, 43597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1, -7.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.081, 1\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 537 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t - 2. Let j(n) = -n**3 - 8*n**2 + 25*n + 44. Let x be j(-10). Calculate a(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 118366618 to the power of 1\/4, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(190)*1 - sqrt(190)) + sqrt(190))*-2)\/sqrt(10) + sqrt(2299) + -4 + sqrt(2299) + 0.\nAnswer: -4 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -15 + 8*b - 2 - 23*b + 16*b. Let u be t(17). Solve 0 = -2*g - u*g + p, -p - 2 = -3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26531 (base 7) to base 5\nAnswer: -212002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.091271 plus 0.03?\nAnswer: 0.121271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -3*k**4 + 363*k**2 + 1764*k + 1404 = 0.\nAnswer: -6, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + -3 + (15 - 9 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1695516881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8856, 8761, 8450, 7815, 6748?\nAnswer: 5141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from {j: 2, h: 9}?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*c = 43*c - 14877. List the prime factors of c.\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 + -5. Let o be ((-3)\/(-3))\/(2*1\/10). Suppose -2*y + 6 = -w + 3*w, w - 15 = -o*y. Put w, d, -3 in decreasing order.\nAnswer: w, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from {b: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2891 - -4699. Calculate the highest common factor of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 4195*b**3 + 29 + 4223*b**3 - 14*b**2 - 2*b - 8417*b**3. Calculate m(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the third derivative of x**6\/660 - 3*x**5\/110 - x**4\/132 + 3*x**3\/11 + 175*x**2. Factor j(h).\nAnswer: 2*(h - 9)*(h - 1)*(h + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 655284, 655288, 655294, 655302, 655312, 655324?\n\"Answer: t**2 + t + 655282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t + 2*t + 2*t)*(-5*t - 633 + 243 + 330)*(-3 - 1 + 3).\nAnswer: 5*t**2 + 60*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8082 - -7?\nAnswer: 7.8082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-8))\/(18\/(-36)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*x + 21*x - 6. Calculate the highest common factor of x and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p = 3*p + 16. Suppose 9*w - p*w = 75. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -163082, -652336, -1467762, -2609360, -4077130?\nAnswer: -5871072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4677670 and 526050?\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1779, 14381, 48663, 115467, 225635?\nAnswer: 390009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-9))\/(2483\/(-573))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the first derivative of 0*d**2 - 9 + 0*d**4 + 0*d - 8\/5*d**5 + 8\/3*d**3. What is the third derivative of u(m) wrt m?\nAnswer: -192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -9, 1, -93\/8, 6, -1\/5, -3\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bm when two letters picked without replacement from {b: 5, m: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5052 - 5052 + 764*s.\nAnswer: 764*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -2*f**3 + 26*f**2 - 28*f + 277. Let k = -114 + 174. Calculate the remainder when i(12) is divided by k.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3173a + -3479?\nAnswer: -35108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002793 rounded to 4 dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in -173, -5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -69 + 113. Suppose -5*i = -z - 31. Suppose 901 = i*q - 2189. List the prime factors of q.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -262*u + 270*u - 459112. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m**3 - m**3 + 0*m**3 + (0*m**2 - m**2 + 2*m**2)*(1 - 1 + m))*(-178*m**2 - 842*m**2 + 150*m**2).\nAnswer: -1740*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -9*z. Let t be -4*(2\/(-3))\/((-8)\/(-6)). Suppose 4*q + 0*s - 34 = 2*s, -t*q = 2*s - 32. Let k(n) = -31*n + 11 - q + 29*n. Give k(o(g)).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -21*j**2 - 24*j - 163. What is y(-5)?\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, -5, 0.3, -9.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 4*y - 8, -3*z = -2*z + 4*y - 24. Let w(m) = m + 11. Let a be w(2). Let k = a + -16. Sort 3, z, 0, k.\nAnswer: k, 0, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 28398261\/188 - 151055. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2*j - 3)*(9*j + 15*j**3 - 9*j + (2*j**2 + 2*j**2 - j**2)*(6*j - j - 3*j)).\nAnswer: -42*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, 5, 78, -4, -1093 in decreasing order.\nAnswer: 78, 5, 3, -4, -5, -1093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13 + 10. Is -1*11*((q - 8) + 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-4 + sqrt(275)*-2 + sqrt(275))**2.\nAnswer: -1164 - 160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 240 + -235. Let t = 4.9 + -5. Which is the biggest value?  (a) q  (b) 0.2  (c) t  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -45, -36, -25, -12, 3, 20?\n\"Answer: j**2 + 6*j - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1.44 * -109\nAnswer: -156.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.3 + 0.4. Let i = -131.41 + 131. Let q = 1.41 + i. Which is the closest to 1?  (a) q  (b) 5  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95341 is divided by 5937.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 138 + -132. Solve o*j = 7*j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1235156228 to the nearest integer?\nAnswer: 35145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-2)\/3)\/(1\/(-18)). Let b be ((-6)\/(-7))\/((-1)\/(-28)). Suppose 0*i + b = 2*i + 5*r, 3*i + 10 = 4*r. Solve -i*c = c - d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of 2*j**6\/3 - j**3\/2 - 267*j**2\/2 + 5*j + 21. What is the derivative of z(u) wrt u?\nAnswer: 80*u**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 350828, 350834, 350838, 350840?\n\"Answer: -t**2 + 9*t + 350820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/252 and -7\/12.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 1\/137886003?\nAnswer: 1\/137886003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 1 = -w. Let z(i) = i**3 - 5*i**2 + 5*i. Let g(o) = o**3 - 4*o**2 + 4*o. Let n(p) = -5*g(p) + 4*z(p). Let h(u) = 4*u**3. Give w*h(j) + 6*n(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 674182.4 millilitres in litres?\nAnswer: 674.1824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*t**3 - 5*t**4 - 8*t**3 + 24*t**2 - 23*t**2 - 31 in the form n*t + v*t**3 + k*t**4 + y*t**2 + q and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of 145451 and 0.4.\nAnswer: 58180.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 5656.01ml?\nAnswer: 5.65601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 433?\nAnswer: 3464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 118010 is divided by 5187.\nAnswer: 3896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 5, -2, 3 in descending order.\nAnswer: 5, 3, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 3*b + 3. Let i be n(3). Suppose 1 = 4*z + 4*w - 91, 0 = -4*w + i. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5.06 + -0.06. Let u = 205 - 210. Suppose -4*b = 5*d - 4, 5*b + 18*d - 5 = 13*d. Sort u, x, 4, b in increasing order.\nAnswer: u, b, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.6+2176389\nAnswer: 2176388.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y**2 - 20 + 20)*(0 - 2 + 3).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3034321009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*d**2*v**3 + 16*d**2*v**2 - 117*v**4 - 9 wrt v?\nAnswer: 12*d**2 - 2808*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5645 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -2*q**2 - 14*q - 9. Let g be c(-6). Suppose 0 = -2*x + m + 899, 0 = m - g - 0. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23*q**3 - 1 - 2*q - 6*q**2 - 24*q**4 - 56*q**3 + 13*q**3 + 20*q**3 to the form o*q + m*q**3 + h + y*q**4 + g*q**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -154123 or 1?\nAnswer: -154123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**2 - 1952*q + 1952*q. Let c(a) = 78*a. Calculate w(c(p)).\nAnswer: -6084*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 4:20 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -63*x**3 + 10*x**2 - 6*x - 4. What is f(1)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/41, 0.107, 2, 34, -7\/3 in increasing order.\nAnswer: -7\/3, -2\/41, 0.107, 2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 2*h = -14886, -217*w = -219*w + 3*h + 9911. Is 33 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*58\nAnswer: -23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 27 - 38. Suppose 20 = -5*h + 5. Let m be ((-2)\/h)\/((-6)\/(-27)). Solve 3*q + m*i = 2*q, -3*q + 4*i = -l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1.3710836 and 0.389?\nAnswer: 0.9820836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5608895 by 3.\nAnswer: 5608895\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 0 - (-848 - -847).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 2*f**2 - 15*f + 43. What is the lowest common multiple of g(7) and 30?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from {b: 1, k: 4, u: 1, n: 2, x: 1, h: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2\/339 - 644\/5763. Let u = 4\/5 - 3\/10. What is the closest to -0.2 in -0.5, k, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 - 10. Is (v\/(-2))\/((-3)\/(-422)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 449\/(-449)*3\/(-54).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13 + 13. Suppose d = -b + 6*b + 40. Let v(t) = -21939*t + t**2 - 9 + 2 + 21930*t - 2*t**2. Calculate v(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**2 + 60791*t - 303984. Calculate u(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 26 in -58, 0.4, -2\/13, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 189*j - 10*j**2 - 189*j - 50*j**2. Let q(g) = 2*g**2. What is q(x(f))?\nAnswer: 7200*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*r = -8*r - 960. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20475\/(-140))\/(-39)*(-24)\/5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1*(0\/(-1) - 2). Suppose -w + 98 = 4*o + w, 2*o - h*w - 34 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 4*s - 25895 - 9749, 0 = 4*s - 2*v - 35662. Does 29 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7*(-1 + 19\/7). Let g(o) = -23*o + 39. Let k(p) = 21*p - 45. Let m(q) = 2*g(q) + 3*k(q). List the prime factors of m(u).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.3 + 0.3. Let o be 24\/(-18)*3\/(-14). Sort o, r, 2 in increasing order.\nAnswer: r, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 33199.55 centuries?\nAnswer: 39839460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 7049.0938 to zero decimal places.\nAnswer: 7049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 10136571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-20)\/(-6) - (-2)\/3. Let w be 18\/u - (-6)\/12. Suppose -w*s + 414 = -701. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 65, 9, -5, 1, -88 in increasing order.\nAnswer: -88, -5, 1, 9, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (18 - 34)\/32 + (-1)\/4. What is the closest to -43 in 1, -0.2, 4\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 5 = 5*c, -5 = 16*c - 19*c - n. Suppose 502 = 4*d + c*h + 155, -4*d + 357 = 5*h. Which is greater: 84 or d?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14 and 29386336?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -8*u - x + 11, 0 = -u - 2*x - 6. Which is the biggest value?  (a) u  (b) -2  (c) -0.1  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 4 - 6 + (-2 + 1 + 2)*(-3 + 2 - 1) + 3 - 3 - 1 + (71 + 132 - 31)*(2 - 2 - 2))*(0*n + n - 3*n) as y + m*n and give m.\nAnswer: 698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.062 + 3.938. Let z = -0.5 - 1.5. Let g = 0 + z. Which is the biggest value?  (a) g  (b) k  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -112*h - 14. Calculate m(1).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*5*-1)\/(1030\/(-1236)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 181 - 1. Suppose -j = -7*h + h. Solve -h = 2*q + q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 694*w**2 + 165856*w - 2390.\nAnswer: 2*(w + 239)*(347*w - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -8*c - 3. Let y(q) = -55*q - 22. Let t(i) = 22*u(i) - 3*y(i). Let s(k) = -1803*k**2 + 904*k**2 + 901*k**2. What is s(t(f))?\nAnswer: 242*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 12103*y + 217897. What is t(-18)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 + 6. Suppose -6793 = 11*r - 347. Let c be 6\/(-10) - (r\/10 - 5). Calculate the greatest common factor of h and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -29*i + 1. Let b(v) = -14*v. What is 7*b(o) - 3*u(o)?\nAnswer: -11*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes before 2:04 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 4, s: 6, m: 1, u: 2, f: 2}. What is prob of sequence ssfu?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3169142 is divided by 528.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 2*j + 3. Let q be (-6)\/(-6*2)*-2. Let a(t) = -t + 1. Calculate q*a(f) - z(f).\nAnswer: -f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-20)\/(-8))\/(1\/2). Let s(p) = -p + 7. Let c be s(l). Factor 2\/7*a**3 + 2\/7*a + 0 - 4\/7*a**c.\nAnswer: 2*a*(a - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -49  (b) -1\/21  (c) 3\/56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, 69, 67, 8 in descending order.\nAnswer: 69, 67, 8, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-8))\/(9\/(-60)*-4).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**2 + 10*o - 19. Let h = 58 - 51. Let d be j(h). Suppose 2*y**3 + y**3 - 3 + 3*y**d - 5*y**3 + 3*y**3 - y = 0. Calculate y.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 242, 238, 218, 176, 106, 2, -142?\n\"Answer: -f**3 - 2*f**2 + 9*f + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**3 + 5*a**2 + a - 5. Let x be n(-4). Let c(k) = -k**2 - 7*k - 3. Let y be c(-6). Solve 8 + x = -y*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*2*sqrt(132) - sqrt(132))\/(sqrt(72)\/(sqrt(30)\/sqrt(5))))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**2 + 4*o + 14. Is d(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7.6, 27, -4, -0.294, -5 in increasing order.\nAnswer: -7.6, -5, -4, -0.294, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 1834 = y + 4*f, -y + 5*f + 586 = 0. Is y a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3*(-2)\/(-5))\/(4\/10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1653900 divided by -149.\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -4*o**3 + 2*o**2 - 2*o - 2. Determine w(2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -121100212 (base 3) in base 13?\nAnswer: -5579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 72\/10*4\/12*(-1 + -29).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q - 8. Suppose 4*t = -5*z + 65, 2*t - 30 = -z - 5. Let f be x(t). Let c be (-1)\/f - (-7)\/14. Let a(r) = -r - 6. Calculate a(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*s + 14 - 14)*(-3 - 1 - 11 - 3).\nAnswer: -162*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (322\/(-6) - -12)\/(10\/61740). Round g to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/2, -19, -2, -11\/3, 0 in descending order.\nAnswer: 0, -2, -5\/2, -11\/3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 195019 by 11.\nAnswer: 17729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12433.22 + 12368.7257. Let m = 64.23 + v. Let r = 0.239 + m. Round r to three dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1746?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -21*q - 2. Let c be t(-2). Calculate the lowest common multiple of 6 and (-21)\/6*c\/(-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 128 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14029 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 u, and 1 h when three letters picked without replacement from {h: 2, u: 1, f: 2, p: 1, i: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 2*d = -36596 + 36576, 2*y + 4*d = -38 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(70) + (sqrt(70) + 4*-1*sqrt(70) - sqrt(70))))\/(sqrt(90)\/(-2*sqrt(9)) - sqrt(800)\/sqrt(5))*-3.\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 8 + (-2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + 3 = 0, f = -176*o + 174*o + 19 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*g - 639 = 6*p - p - 18*g, -26 = p - 2*g + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 135 + 3?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*b**2 + 7*b + 4*b - 17*b + 56 + 3*b**2 as t*b**2 + p*b + c and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 6588401 minus 8933?\nAnswer: 6579468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 4*h. Let o be l(-1). Let n = -19183\/8 + 2390. Let t = -157\/24 - n. Which is the biggest value?  (a) t  (b) 0.2  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -4*f - 2. Let s(p) = 1. Suppose -5*c + 16*c = -33. Give c*s(g) - l(g).\nAnswer: 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -6235*d**2 + 4*d + 4. Let h(a) = -12470*a**2 + 10*a + 9. Calculate 2*h(g) - 5*k(g).\nAnswer: 6235*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1353293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**3 + 6*y**2 - 3*y - 9. Let h be d(-6). Let m = h + -6. Suppose -z + 0*v + 5*v = -105, -m*z + 298 = 2*v. Is z a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m**2 - 171*m + 2010 = 0.\nAnswer: -67, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/((-14)\/((-784)\/(-24))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**2 + 43977985*x - 131934000.\nAnswer: 5*(x - 3)*(x + 8795600)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/((-18)\/3)*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 51551*5.\nAnswer: 257755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 0*f - 1 = 3*f, -4*w + 5 = -5*f. Suppose -6*s + s + w*q = -2170, -888 = -2*s - 2*q. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 + 2. Let g = 6 - 7. Which is the nearest to g?  (a) -1\/3  (b) -4\/3  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -158 + 321. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 301831\/197568 + 1\/21952. Calculate the common denominator of 9\/16 and l.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/5 or -0.0331282?\nAnswer: -0.0331282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 718976 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 40 and 1195.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22476 divided by 5619.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9682 and 18894?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(80) + 0)**2 - (-3 + sqrt(10)\/sqrt(2))).\nAnswer: -498 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 14031899381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 598084, 2392331, 5382744, 9569323, 14952068, 21530979, 29306056?\n\"Answer: 598083*v**2 - 2*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (-42)\/16 + 119080\/4160.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + a = 1, -2898*z - 4*a = -2893*z - 31 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 12) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**2 + 8*s - 5. Let f be v(4). Find the third derivative of 17 - 6 - f - 11*j**2 - 4*j**4 wrt j.\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 23 - 10 - 5)*(m + 6*m - 4*m).\nAnswer: 45*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -142.828 - 0.172. Let y = k + 176.4. What is y rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + 21\/6*10. Let u = a - -17. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 98 - 8. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 4, n: 3, c: 7}. Give prob of sequence ci.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -124\/15 + 38\/5. Let p(t) = t - 50. Let l be p(55). Let z be l\/8*(-1 + -1). Sort z, 4, h, 1 in descending order.\nAnswer: 4, 1, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 46, 48, 40, 16, -30, -104, -212?\n\"Answer: -t**3 + t**2 + 6*t + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y + 5*b - 20, -y + 8 = -0*y + 2*b. Suppose -5*c - 11 + 46 = y. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*t + t + t + (4*t + t - 3*t)*(-1 - 9 + 2)*(-1 - 2 + 4) - t + 2*t + 0*t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -6*x + 3. Let c = 453 + -250. Let n(d) = 199*d - 611*d + c*d + 207*d. Calculate n(w(y)).\nAnswer: 12*y - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.032 - -0.132. Which is the closest to 0?  (a) -0.3  (b) -18  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 401402644.\nAnswer: 2, 827, 121343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3496 - 3?\nAnswer: 3493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**4\/u**(1\/10)*u**(-11\/3)*u**0 assuming u is positive.\nAnswer: u**(7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 99*a + 35*a - 19*a**2 - 169*a + (0*a**2 + 0*a**2 + 2*a**2)*(2 - 1 + 0) - 3*a**2 + 4*a**2 + a**2.\nAnswer: -15*a**2 - 35*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/771, 3, 1, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*n - 22 - 2 = s + 14, -4*s - 8 + 27 = n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 14) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5 - 1)\/((2 + 2)\/2). Find the common denominator of (i\/4)\/(-2 + 53\/22) and -27\/160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23609045 is divided by 223.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -292*((9 - 10) + -3)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*v**4 - 257*v**3 + 20*v**2 - 4*v - 516 wrt v?\nAnswer: 24*v**2 - 1542*v + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 654642518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 92462.82 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 745 is divided by 129.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-75)\/10*2\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*-36948365.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000150223 to seven dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the third derivative of q**8\/112 - q**4\/2 + 9*q**2. What is the second derivative of j(a) wrt a?\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 331887?\nAnswer: 3, 110629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -198*z - 30. Let p(k) = -k**3 + 7*k**2 - 8. Let b be p(7). What is the tens digit of u(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes before 4:08 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 2 + 16*p**2 + 7)*(6 - 5 - 7).\nAnswer: -96*p**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 497, 1798, 3965, 6998, 10897, 15662, 21293?\n\"Answer: 433*c**2 + 2*c + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 + 13*k - 18. Let z be j(11). Suppose p + 3 = -3*u + 51, -u - z*p = -27. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -994 times 1.8?\nAnswer: -1789.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Do 9 and -10541 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 11\/4*v + 3\/2 + 1\/4*v**2 - v**3.\nAnswer: -(v - 2)*(v + 1)*(4*v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23383000 rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -5032, -20117, -45258, -80455?\n\"Answer: -5028*o**2 - o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, -115 in decreasing order.\nAnswer: 2, -1, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the second derivative of -l**3\/6 - 5*l**2 + 45*l + 2. Determine w(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2736) + -1 + sqrt(2736))*-4)**2.\nAnswer: -768*sqrt(19) + 175120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -32, -40, -62, -104, -172, -272, -410, -592?\n\"Answer: -i**3 - i**2 + 2*i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 79149.45 seconds in milliseconds?\nAnswer: 79149450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -113*u + 213*u - 2247100. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3645 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 938.6874 millennia in years?\nAnswer: 938687.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 46 - 39. Let x(n) = n**3 - 7*n**2 + n - 1. Let f be x(r). Suppose f*q = 27 + 285. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 - 0)\/(0 - -2). Suppose -g = -x*g - i + 5, 5*i - 4 = -2*g. Let n = g - -3. Solve -r - 3*r + 16 = n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*2*sqrt(57)\/(sqrt(588)\/sqrt(4)))**2.\nAnswer: 2736\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52066197 is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 34.08703244 + 0.01442356. Let j = 34.1 - u. Round j to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-2\/29)\/k)**24 assuming k is positive.\nAnswer: k**(-744\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1071 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2945*s + 240 = -2969*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*f - 2, 3*r = -f + 88. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/6*1\/(-3)*12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 9*z. Suppose -2*x - 2*x + 12 = z. Suppose 3*g - m = 4*g - 10, x*g - 30 = -m. Solve -b + g = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 4*a + 4*t + 9, -3*t - 12 = 0. Suppose 0 = 5*f - 5*v - 20, -2*f = -v + 6*v - 15. Solve a = -3*j + f*w + 6, -15 = -3*w + 8*w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11022122220222 (base 3) in base 2?\nAnswer: 1000110000100111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -80 + 2628\/36 + (18\/(-12))\/((-2)\/(-12))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -1\/2502, -2\/15, -2?\nAnswer: -1\/2502","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 + 7*g**2 + g + 8. Let v(k) = -k**3 + 4*k**2 + 10*k + 5. Let l be v(6). Let b be p(l). What is the nearest to 0 in 2\/7, -1\/4, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 405 and 243?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.5, 0.1, -2\/5, 0.094, 8\/9?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the first derivative of 0*d**2 + 0*d + 0*d**4 + 0*d**5 + 0*d**6 - 88\/7*d**7 + 164\/3*d**3 + 169. What is the third derivative of h(i) wrt i?\nAnswer: -10560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*c, -2*c - c = 5*a - 35. Suppose 654*p - 809 - 674 + 17419 = 2646*p. Suppose 0*y + 5 = y. Solve -j + 3*f = f + p, -y*j + a*f = 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 5447, 10895, 16343, 21791, 27239, 32687?\n\"Answer: 5448*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -7, 312997.\nAnswer: -7, -3, 312997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -44*i + 29*i. What is the second derivative of 43 + 2*z - 8*z**5 + i*z**5 + 3*z**5 + 2*z**3 + z**5 wrt z?\nAnswer: -20*z**3 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-582)\/2037)\/(-1*3\/273)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4840, 9476, 14110, 18742, 23372, 28000, 32626?\nAnswer: 37250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 - 11506?\nAnswer: -11503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 0 + 0)*(1 + 0 + 0)*(4 - 2 + 0)*(1198 + 1136 - 2624).\nAnswer: 1160*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15 - -17. Let m be 0\/(2 - 9\/3). Suppose -5*f - 4*n + 15 = m, 9 = 3*f + 5*n - n. Is q at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 95, 96, 97, 98?\n\"Answer: c + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*i - 2*x + 8 = 14*i, 5*i = 5*x - 10. Factor 5\/6*o**3 + 1\/2*o**2 + 0 + 1\/6*o**i - 3\/2*o.\nAnswer: o*(o - 1)*(o + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from ggtggtgg.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -10\/7, -2, 12\/61?\nAnswer: 12\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 123084928 to the power of 1\/3, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**2 - 6*i - 3. Let v be j(6). Let n be 2\/(-3) - (-4)\/(-3). Let y(l) = 4*l**3 + 2*l**2 - 1. Let k(h) = -3*h**3 - h**2 + 1. Give n*y(z) + v*k(z).\nAnswer: z**3 - z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**3\/9 - 2884*w**2\/9 + 564988*w\/9 - 11186324\/3.\nAnswer: 4*(w - 447)*(w - 137)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 11 + -11 - (-2 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - (-792)\/(-60)) + 0 - 3\/(-15).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 l when three letters picked without replacement from njlnjjjjjjnljn?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - 3.2. Let i be (42\/15)\/(16\/(-100)). Let u = i - -18. Which is the nearest to u?  (a) -2\/9  (b) 2\/3  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 252 + -250. What is the nearest to 2 in -2, j, 0, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -261371.6681 to the nearest 100.\nAnswer: -261400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the first derivative of -z**3\/3 + z**2 - z + 24. Find x such that m(x) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 4:20 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b + 51*b - 504. Solve 3*a + b = -3*x, 8*a - 15 = 13*a + x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, n: 6, s: 3, i: 1}. Give prob of sequence sl.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 544*m + 1494. Determine p(-3).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 5186 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the third derivative of -7*n**5\/60 + 7*n**4\/24 - 3*n**3\/2 - 9*n**2. Let j(m) = -4*m**2 + 4*m - 4. Let a(w) = 5*j(w) - 3*v(w). Is a(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 6:58 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1054?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 223290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, w: 2, g: 2}. What is prob of sequence wg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 8\/(-6)*(-12)\/8. Suppose -3*j = -4*j + b. Solve y - j*y = 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/14)\/(122\/427)*1\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from pkdppkppxokkkp?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -5, -1430, -8, -18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, d: 2, r: 1, x: 2, l: 1}. What is prob of picking 2 d, 1 g, and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3334136 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(6\/13)\/(b*(b**9\/b)\/b*b*b) assuming b is positive.\nAnswer: b**(-124\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the second derivative of s**7\/70 - 23*s**6\/50 + 429*s**5\/100 - 121*s**4\/20 - 3*s + 26. Suppose t(u) = 0. Calculate u.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of -3*i**2 - 41*i**3 + 40*i**3 + 1 + 3*i**2. Let y(n) be the third derivative of -7*n**4\/24 + 6*n**2. Determine g(y(w)).\nAnswer: -147*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and 0.49?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*o + 20, s + 83*o = 78*o + 22 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bgacgbccagggggaagbaq. Give prob of picking 1 b and 2 a.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.5 + -0.5. What is the nearest to j in -0.1, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**3 + 6*a**2 + 5*a + 2. Let z be r(-5). What is the second biggest value in 2\/5, 1\/2, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express f - 6*f + 3*f + (-392*f + 206*f + 131*f)*(-2 + 1 + 2) as a*f + q and give a.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u**3 + 12*u**2 - 53*u + 261. Calculate h(6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -29981264*f**3 - 2939001*f**2 - 5*f?\nAnswer: -179887584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 86541.846 to the nearest one thousand.\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 795585?\nAnswer: 3, 5, 7, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 17, -0.5, -0.4, -0.7, 5\/13, 46?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*n = -66*n + 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -33*q. Suppose -10 = -3*g - m, -5*m + 10 = 4*g - 7. Let p(h) = 5*h**2 + g*h**2 + 0*h**2 - 6*h**2. Calculate l(p(s)).\nAnswer: -66*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k - 49 = -44 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50 + 13*q**2 + 50.\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 4\/7, 5\/7, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**25*n)**(-16)*n**(-1\/40)\/(n\/n**24) assuming n is positive.\nAnswer: n**(-16361\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 967135, 1934264, 2901395, 3868528, 4835663?\n\"Answer: p**2 + 967126*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 6, 16, 757, -5, -1, 2 in descending order.\nAnswer: 757, 16, 6, 2, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*u**2 + 8*u**2 + 25*u**2.\nAnswer: 54*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-15 - 2 - 11)*(-8 + 13*j + 8) in the form u + x*j and give x.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7767 - 7764. Solve -9 = 3*a + c*m, -5*a + 14 - 27 = 3*m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -11*r + 25. Let d(k) be the second derivative of 17*k**3\/6 - 19*k**2 - 5*k. Let u(i) = 5*d(i) + 8*y(i). Find the first derivative of u(v) wrt v.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*f - 2162275 + f + 1081134 + 1081141.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-10))\/(42\/(-35)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1281 + -1338. What is the biggest value in -3, -3\/5, w?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45675237*m**2 - 2 + 45675213*m**2 + 2.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 215160.\nAnswer: 2, 3, 5, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 30\/(-105) + (-47)\/7. Let s be -5*(z - (-2 - -2)). Let n = 40 - s. Calculate the highest common divisor of 25 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2a9338 (base 12) to base 10.\nAnswer: 721052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1357550 and 10465996.\nAnswer: 2858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15 - 10. Let w(h) = -h**2 + 8*h. Let p be w(8). Suppose p + u = k. Solve 5*o - 3*c - 29 = 0, o + k*c = -9 - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence djjd when four letters picked without replacement from {j: 2, d: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*s - s**5 + 5*s - 10*s**5 - 5*s wrt s.\nAnswer: -220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -803884*j + 15273785. Give d(19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 968097 - 968097 + 9*d + 14*d - 4*d.\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/6*(-54)\/(-30). Sort n, -2, -0.14, -4 in increasing order.\nAnswer: -4, -2, -0.14, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -3*q. Let u(a) = 0 + 5 + 2 + 16*a**2 + 7*a. Let s(f) = 5*f**2 + 2*f + 2. Let v(z) = 7*s(z) - 2*u(z). Determine v(w(o)).\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**3 + 3*i**2 - i - 1. Let c = -255 + 259. Give k(c).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 5, i: 2, g: 1, p: 2, a: 1, q: 4}. What is prob of sequence pz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (10*-2)\/(-1 - 0). Suppose -9*g + l = -4*g. Let d = 2 - -5. Calculate the least common multiple of d and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4*3\/6)\/((-1)\/4). Which is bigger: g or 7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 715738698 and 1548?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that 2*g**4\/3 - 10*g**3\/3 + 6*g**2 - 14*g\/3 + 4\/3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4 + ((-5)\/5)\/(3\/(-114)). Let b(m) = m**3 + 2*m**2 + m - 86. Let h be b(0). Let u = 137 + h. Calculate the highest common divisor of u and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 4*h - 2*h. Let f = h - -5. Suppose -6*s = -f*s + 804. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -137478014.\nAnswer: 3\/137478014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1407, 1318, 1191, 1014, 775, 462?\n\"Answer: -2*j**3 - 7*j**2 - 54*j + 1470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -581 - -568. Sort -4, 4, o, 5.\nAnswer: o, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**4)**15\/((g\/(g**12*g))\/(g**5\/g*g)) assuming g is positive.\nAnswer: g**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -5*j**3 - 2*j**2 - 5*j + 20. Let t be u(-7). Let m = t - -1208. What is m rounded to the nearest 100?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21 and 411.\nAnswer: 2877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -115, -450, -1005, -1780, -2775, -3990?\n\"Answer: -110*q**2 - 5*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0888312 grams in micrograms?\nAnswer: 88831.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 15946?\nAnswer: 15946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(28)\/sqrt(4) + -3)*-6 - -1*sqrt(126)\/sqrt(2))**2.\nAnswer: -108*sqrt(7) + 387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-86)\/(-480))\/1 - (117240\/(-300) - -391).\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -967.4 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 145 - 64. Suppose 3*x = c + 132. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (83697\/92*(-4)\/(-6))\/((-4)\/(-16)). Which is greater: 4851\/2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(931))**2 + -2 - (sqrt(1539) + 1 + sqrt(1539))) + ((-1*(sqrt(152)*-1 - sqrt(152)))\/(-4*sqrt(8)*-2))**2.\nAnswer: -18*sqrt(19) + 14867\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2 - -62.6\nAnswer: 60.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-3))\/((t\/((t*t*t**6)\/t))\/t)*(t**(-1\/4))**(-6\/17)*(t\/(t*t\/(t*(t\/(t\/(t\/t**2)))\/t*t))*t)**18*(t**(3\/5)\/t)\/t*t**(1\/4) assuming t is positive.\nAnswer: t**(3379\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 101, 406, 909, 1610, 2509, 3606?\n\"Answer: 99*p**2 + 8*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 88*h - 29. Is w(22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 AM and 5:14 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 117 + -120.6. Let t = 7.6 + k. What is the fourth smallest value in 1\/5, 3\/4, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -9*d - 5. Suppose 0 = 11*b - 7*b + 4. Let i be k(b). Solve -5*q = i - 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 985956?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1))**(-26)*t**(2\/5)\/(t**(2\/15)*t)*(t\/t**(2\/3))**47*(t*t**(2\/5))\/(t\/t**2) assuming t is positive.\nAnswer: t**(130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((-1*sqrt(192) - sqrt(192))**2 - sqrt(192)).\nAnswer: -8*sqrt(3) + 771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 205 and 220?\nAnswer: 9020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9105 + -4855. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93 = 2*o - 145. Calculate the remainder when o is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17111 divided by 1?\nAnswer: -17111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 441*g**2 - 1547*g - 860. Calculate k(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 342551 (base 6) to base 14\nAnswer: a8a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -38 from 439380809135.\nAnswer: 439380809173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**2\/7 + 36*n\/7 - 39\/7.\nAnswer: 3*(n - 1)*(n + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6664769.\nAnswer: 6664769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 759 a factor of 847321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g - g + 2*g + 2*g - 5*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 5*k**4 - 20045*k**3 + 22985375*k**2 - 5611064235*k + 64057410900 = 0?\nAnswer: 12, 315, 1841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -172 - -177. Suppose 13 = d + 2*m, -m - 51 = -3*d - 4*m. Let u = d - s. What is the highest common factor of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-8) - (-11)\/(-44). Let l be 6\/(-4) - 1146\/(-4). Suppose 0*q - 5*q + l = p. Calculate the remainder when q is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t, b - t = 2*t - 23. Let y = 36 + b. What is the highest common divisor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/5  (b) 2  (c) 4  (d) 2\/15  (e) 26  (f) 1\/5  (g) 8037\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 + 8*d**2 - 6*d - 4. Let c be s(7). Suppose 0 + 6 = c*o. Suppose -10 = -2*q - o. Solve 0*r - q*r - 10 = -5*l, 5*l = 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 48*x**5 - 11*x**5 - 4*x**5 + (3*x - 4 + 2 - 5*x)*(12*x**4 - 14*x**4 + 33*x**4).\nAnswer: -29*x**5 - 62*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 187 = -5*p + 787. Suppose 3*o + 12 = p. Suppose 2*x = 0, 2*t - o = x + 4*x. Calculate the remainder when 69 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 213*b - 216*b = -4*x - 72, 3*b - 5*x = 90 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20 (base 5) to base 2.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 85*a - 154 = -559 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, -0.5, -2\/9, -0.6, 2 in decreasing order.\nAnswer: 11, 2, -2\/9, -0.5, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 85 + -593\/7. Suppose -3*o + 9 = -0*o. Let d(w) = -w**3 + 2*w**2 + 2*w + 2. Let p be d(o). Which is greater: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*w**4 - 99*w**2 + 10*w + 19.\nAnswer: 24*w**2 - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -41195 divided by 535?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 130768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w*w**(2\/7)))**(2\/47))**(-34) assuming w is positive.\nAnswer: w**(136\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2523222353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 51222 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o - 2*o + o + 6 + (3 + o - 3)*(3 - 6 + 4).\nAnswer: -2*o + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -213.6 take away -4?\nAnswer: -209.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 5*x - 2, -9863 = -5*v - x. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z\/z**(-5))\/(z**(2\/39)*z))\/(z**(-1\/2)*z*z*z)**8 assuming z is positive.\nAnswer: z**(-548\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f + f**3 - 2*f)*(-369 - 934 - 969).\nAnswer: -2272*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.89 - -0.11. What is the closest to 7 in 3\/7, g, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(50) + 2*sqrt(4050) + sqrt(4050)*-1)\/((sqrt(810) - ((-4*sqrt(810) - sqrt(810)) + sqrt(810)))*1).\nAnswer: 2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 798 is divided by 161.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -27\/2162 + 899635\/19458. Let p = 2930\/63 - s. Factor 12\/7*h**3 + p*h + 0 + 8\/7*h**4 + 8\/7*h**2 + 2\/7*h**5.\nAnswer: 2*h*(h + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -603294000 rounded to the nearest 1000000?\nAnswer: -603000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1171, 1156, 1121, 1060, 967, 836, 661, 436?\n\"Answer: -y**3 - 4*y**2 + 4*y + 1172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*k + 13*k = 22, -2*m + 2*k + 27 = 5*k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*j = 35*j + 84 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -265*w - 3. Let y(o) = -311*o - 3. Let l(n) = -5*y(n) + 6*z(n). Calculate l(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 112, 222, 332?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -5 + 112\/30 + 3\/5. Let v = -447\/14 - -63\/2. Let t = -625\/7 - -89. Which is the third biggest value?  (a) v  (b) d  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.117 + 16.917. Let u = 17.3 - m. Which is the closest to -1?  (a) u  (b) -2\/15  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - -4 - ((-264)\/55 + 10) - 0?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/99946 and 91\/110.\nAnswer: 499730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:37 AM and 6:50 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - b = z + 11, 2*b + 1 = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -423, -429, -435, -441, -447?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1\/11)\/((g*g\/((g\/(g\/(g**(-2\/11)*g)))\/g)*g)\/g))\/(g\/g**(-2\/3))**(-47))\/(g**(-2\/21)\/((g*g*g**(-3)*g*g)\/g))**(-32) assuming g is positive.\nAnswer: g**(5622\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**2 - 9*c + 16. Let v be o(9). Suppose 0 = 21*g - v*g + 705. Let y = -79 - g. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 + -3 + 1 + 2. Let r(j) = -j**2 + 144*j + 291. Let q be r(-2). Let c be ((-240)\/32)\/((-1)\/2). Put c, i, q in increasing order.\nAnswer: q, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -160, -329 in decreasing order.\nAnswer: -3, -160, -329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.006, -0.4, -0.01, 118, -5 in descending order.\nAnswer: 118, -0.006, -0.01, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - 72835 + 72808 = 0, -4*s = -18*z + 6*z + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**3 + 3*n + 7. Let r be z(0). Suppose -3*x - 2*d = -r*d - 555, 0 = 3*x + d - 537. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -290*y**2 - 8. Let a(x) = -33021*x. Determine a(h(d)).\nAnswer: 9576090*d**2 + 264168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 23256 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - 3016\/(-792)) + (-4)\/11\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27615 + 9200 + 9203 + 366*j**3 + 9212.\nAnswer: 366*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 723 = 3*x, 3*x - 4*u = x + 486. Let y = 332 - x. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.769 - -2.769. Let o = 2 + -2.2. Let a be (6\/(-45))\/((-6)\/(-10)). What is the closest to g in o, a, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(7\/5)\/j*j\/j**(-6)*j**6\/j*j*j**(-9) assuming j is positive.\nAnswer: j**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*t + 848 - 209. Let j = t - 59. Solve -4*x + j + 8 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171)*-1 - sqrt(171))**2*-6 + sqrt(171).\nAnswer: -4104 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -2*h**2 - 2*h. Let b(u) = 2*u**2 + 2*u. Let k be 9\/15 + 186\/(-10). Let a = k - -26. Suppose a = 2*y + 2. What is y*b(p) + 2*q(p)?\nAnswer: 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-45)\/(-117))\/((-3585)\/1434)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -416.\nAnswer: -5\/416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102002112 + 20?\nAnswer: 102002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ecgpp. What is prob of picking 1 g, 1 e, and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 3  (b) 0.59  (c) 0.6  (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(396)*-2*-1)\/sqrt(12))\/(4*sqrt(9)\/sqrt(3) - sqrt(48)*-4))**2.\nAnswer: 11\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.284341 kilograms in milligrams?\nAnswer: 9284341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3252 - 1739. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34384 divided by 614.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -4 + sqrt(162))**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 22152299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 604614?\nAnswer: 2, 3, 100769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 at most as big as 409\/775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 6 = -t + 1, 4*z = 2*t + 14. Let j = 3 - t. What is the highest common divisor of j and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccucucu. What is prob of sequence cuc?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*a - 22*a - 21*a - 19*a.\nAnswer: -55*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2363149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18) - sqrt(288)*3)\/(6*sqrt(54)) + (sqrt(192)*-2)\/(1*sqrt(196)).\nAnswer: -221*sqrt(3)\/126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3\/2 - 3)\/((-3)\/4). Suppose -79 = -8*z + 3*z - 2*d, -j*z - 3*d = -25. Suppose -13 = 2*n - z. Solve -n*f + 0*f + 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(3*sqrt(125)\/sqrt(5))\/(3*sqrt(405)).\nAnswer: 5*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 229901, 459902, 689903, 919904, 1149905, 1379906?\n\"Answer: 230001*d - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1884 + 1027 - 1852*k - 2628 - 585 - 1343 wrt k?\nAnswer: -1852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the first derivative of h**3\/3 - 5*h**2\/2 + 4*h - 3. Calculate o(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:56 PM and 4:59 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46900 is divided by 73?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 144, 147, 150, 153, 156, 159?\n\"Answer: 3*z + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 3*n**3 - 4*n**2 + 18*n - 7. Let g = -327 - -333. Let u be y(g). Round u to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6241 and 8769?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v + 5. Let u be g(6). Let x = u - -3. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -23, -110, -243, -398, -551, -678?\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 32062 in -371, -2, -3\/7, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence umqu when four letters picked without replacement from {q: 1, i: 5, m: 5, u: 6}?\nAnswer: 5\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c - 226. Let r be y(30). Let l = r - -230. Sort -1\/4, l, -2\/11 in descending order.\nAnswer: l, -2\/11, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 * 1.4944066\nAnswer: -1.4944066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(4\/8*-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -258*u**3 - 1 + 4*u**2 - 3*u**2 - 16*u**3 - 1 + 1 in the form c*u**2 + r + i*u + b*u**3 and give b.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of t**6\/24 - t**4\/2 + t**3\/2 + 7*t**2\/8 - 3*t\/2 - 89. Determine q so that z(q) = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(65) - -1*sqrt(65))*3)\/(sqrt(45) + (sqrt(225) + sqrt(225)*1 + sqrt(225))\/sqrt(5) + sqrt(45)).\nAnswer: 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 399*b**3\/5 - 222*b**2\/5 - 159*b\/5 - 18\/5 = 0.\nAnswer: -2\/7, -3\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 3*s = 18, 2*s = -r - 2*r + 17. Suppose 2*n - r = 39. What is the greatest common factor of 110 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -23967900 to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 9*y**2 + 26*y - 35. Is 55 a factor of g(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 8*x - 12. What is r(9)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 4 - 22\/5*r + 2\/5*r**2 = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(-5)*l*l)\/(l*l\/(l\/(l\/(l**(3\/4)\/l)))) assuming l is positive.\nAnswer: l**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -49 + 119. Suppose -z*y = -67*y. Let d = 8 - 13. Sort -3, y, d.\nAnswer: d, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llleerrrlellellrllee. What is prob of sequence ere?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-3))\/((-16584)\/366921)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes after 3:18 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((sqrt(2178) - (sqrt(2178)*-2 + sqrt(2178)) - sqrt(2178)) + sqrt(2178)))\/(sqrt(63)\/(6*sqrt(63))).\nAnswer: 1584*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 3*r - 11. Calculate y(14).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, 2, -5, 11, 5 in increasing order.\nAnswer: -20, -5, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*t - 3*y + 11, 3*y - 13 - 2 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2905 <= 2907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and -312.5.\nAnswer: -156.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 15*n**2 - 4*n + 2. Let z be d(3). Suppose -z - 211 = -4*u. Calculate the highest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2, 5, -4, 289.\nAnswer: -4, -2, 0, 5, 289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 23, 3, 0, 5, 2, 1 in increasing order.\nAnswer: -4, 0, 1, 2, 3, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 0, -3*p + 2*g + 0 + 6 = 0. Let n(u) = -u**3 + 7*u**2 - 5*u - 2. Let v be n(6). Suppose p*k - 15 = -t - 3, v*t = -2*k + 24. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -930, -3499, -7784, -13785, -21502, -30935?\nAnswer: -42084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 78781541413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes after 1:31 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51 + 3*n - 3*n + 2*n + 1.\nAnswer: 2*n - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**2 - 4*p - 111. Let h be l(13). Suppose -1 = -2*z + 1. Suppose 17 = -h*k - z. Which is smaller: 3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000480683 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 406, -5, -1, 998 in descending order.\nAnswer: 998, 406, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.520305485 - 0.3.\nAnswer: -0.820305485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 991\/425 - 41\/17. Is q >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 86026 - 86027. Let w be -2 - (-2 - (-4)\/(-362)). Which is greater: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41013053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = -3*i - 15, z + 2*i - 4*i = 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -2*h**2 + 7*h + 1. Determine u(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 40992127 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97*h - 97*h - 4*d = -20, 19*h - 5*d = 13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(20) + sqrt(180)*-2)**2.\nAnswer: -60*sqrt(5) + 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*z + 844 + 2540. List the prime factors of z.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*q = q + 70. Is 4*((-5)\/(-60))\/(q\/12774) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 674651497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, -17, -3.301 in descending order.\nAnswer: -3.301, -17, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z = -2*g + 2, -2*g + 322 = -z + 319 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**2*(p**2\/p)\/p*(p\/p**3)\/p**(2\/13))\/((p**(-2\/5))**(-40))**(-2\/19) assuming p is positive.\nAnswer: p**(625\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -q**5 + 2711*q**4 + 2253*q**2?\nAnswer: -60*q**2 + 65064*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the second derivative of -q**7\/42 - 4097*q**5\/20 - 17*q**4\/12 + 25*q**3\/6 - q**2\/2 + 736*q + 2. Find the third derivative of z(f) wrt f.\nAnswer: -60*f**2 - 24582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g + a - 3*a - 77, 4*a - 260 = -4*g. Let i = g + -41. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 98*q + 226. Let d be j(-6). Let k = d - -371. Let l(z) = -z**2 - z + 5. What is the least common multiple of l(0) and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -25377 + 25375. Let g(f) = 7*f**3 - 2*f**2 - 2*f - 10. Let m(l) = -l**3 + l**2 + l + 1. What is z*m(i) - g(i)?\nAnswer: -5*i**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8257275 divided by 3.\nAnswer: -2752425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*n = 9*n + 180. What is the greatest common divisor of n and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 + a**3 + 663*a**2 + 45*a - 1311*a**2 + 9 + 648*a**2.\nAnswer: a**3 + 45*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the second derivative of -q**5\/20 + 3*q**4\/4 - 5*q**3\/6 - 6*q**2 - 15*q. Let n be t(7). Let x(o) = o**3 - 2*o + n*o**2 - 53*o**2 - o. Give x(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (-270)\/(-18) + 6*1*(-106)\/40.\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*k - 62 + 6*k - 13*k.\nAnswer: 2*k - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.2 - -1.6. Let n be 22\/(-35) - (-12)\/42. Let v = 46\/105 + n. Which is the biggest value?  (a) 4\/7  (b) v  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 10*z - 72. Let d be m(8). Solve 3 = 3*p - 2*s, 3*p - 17 = 4*s - d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(((-528)\/308)\/((-6)\/(-70)))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/48 and -11\/10056?\nAnswer: 20112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3 + (-238)\/21 + 5)*2\/8. Let r = -1 + 2. Let m be -2 + (0 - (0 - r)). Is m at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**2 + 4*f - 1. Let y be d(3). Solve 5*x = v - 6, -x - 3 - 7 = y*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 101\/4115 + -83849\/13307910. What is the common denominator of c and -95\/308?\nAnswer: 6468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -15066255 - -1?\nAnswer: -15066254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-30)\/(-1300)*10*(-2)\/3.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2321, -4745, -7169, -9593, -12017, -14441?\nAnswer: -16865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 + 4 + 3 - 2 + 9*a**3 to the form f + n*a + j*a**3 + b*a**2 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2202162679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of -a**3\/3 - 7*a**2\/2 + 27*a + 467. Determine f(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -88*r + 43*r - 8*r**2 - 29 - 19*r**2 - 25 - 204*r.\nAnswer: -3*(r + 9)*(9*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 706, 4, 0, -3\/7, 0.14, 5 in ascending order.\nAnswer: -3\/7, 0, 0.14, 4, 5, 706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - t + m - 20 = 0, 4*t = -4*m + 32. Let j be (-1 - (-3)\/(-6))*(-232)\/t. Suppose 11*h - 4 - j = 0. Solve h*v + 10 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, 7, 5 in decreasing order.\nAnswer: 7, 5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1173 and 12342.\nAnswer: 283866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-22)\/(-6) - (2 + 0). Let z = 1.2 - 1. Let p be (-9)\/(-21) + 40\/(-56). What is the nearest to p in h, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3658, -3505, -3354, -3205, -3058?\nAnswer: -2913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-42)\/63)\/((-4)\/(-18)). Suppose -11*l + 210 = -18*l. Let w = l - -46. Sort z, -4, w in descending order.\nAnswer: w, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3106827 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 111518 is divided by 196?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the third derivative of -9*u**8\/1400 + 468*u**7\/125 - 99372*u**6\/125 + 24114272*u**5\/375 + 2981*u**2. Factor x(d).\nAnswer: -2*d**2*(3*d - 364)**3\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-9)*a)\/((a\/a**(3\/4))\/a)*a**(-1\/2)*a**(2\/3)\/a assuming a is positive.\nAnswer: a**(-97\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 210972901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from bnzybbiibnyxnx.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -2*c + 536, -i - 8 = 3*i. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 2*d + 7. Let z = 70 - 23. Suppose 2*k - 7 = z. What is the greatest common factor of k and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 5*i**2 + 12*i + 10. Give x(-6).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 0) + -5 + (31 - 33)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4251*g**2*o**2 + 24846*g**2*o + 34994*g*o**2 - 131*g*o wrt g?\nAnswer: 8502*o**2 + 49692*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/4228 and -163\/76104.\nAnswer: 76104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -55503, -55501, -55499, -55497, -55495, -55493?\n\"Answer: 2*c - 55505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from trwet. Give prob of sequence tr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(104)*1 - ((sqrt(104)*1 - sqrt(104))*1 + sqrt(104)))\/(-2*(3*sqrt(72))\/sqrt(9)).\nAnswer: -5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 3:30 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 138 + 87. Let o(s) = -r*s**2 + 95*s**2 - 42*s**2. Let z(h) = 2*h**2 - 2. Determine z(o(w)).\nAnswer: 8*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the first derivative of r**6\/3 + 8*r**5\/5 + r**4\/2 - 4*r**3 - 33. Factor d(a).\nAnswer: 2*a**2*(a - 1)*(a + 2)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 76*h - 683. Let o be a(9). Is 15\/473 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 287, -0.5, 0.3, -2.618, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 12 = -4*a, -4*a + a = -2*l + 9. Let g be l + 67 - 3\/3. Suppose -2*i - g = -4*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7842592237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/3477 and 115\/418.\nAnswer: 76494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -7, 5, 4, -947, -2, -0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -175 plus -3298.34?\nAnswer: -3473.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in fourty-six fifths of a gram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2047\/8928 + 7\/992. Sort 3, 2.321, o in increasing order.\nAnswer: o, 2.321, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 0 = -3*z. Suppose 0 = -0*c - 2*c + 6. Let q(u) = 2*u**z - u**3 + 5*u + 3 + 0*u**c + 3*u**2 - 2*u**2. What is q(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -3*i**2 + 3*i + 3. Calculate s(-5).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-172)\/20 + 6 + 2 + 3232\/20. Solve -8*k + 177 - v = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes before 9:41 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v + 7*v = 0. Let o = -16.6 + 17. What is the nearest to v in o, -2, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -57*z + 5. Let n be p(2). Let m = n - -73. Let h = m - -44. Solve 0*d + 3*d = -s - h, d + 1 = -2*s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1126*z = -13018 - 3872 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*b*q*z**2 - 47*b*q*z - 4*b*q - 11*b - q*z - z**2 with respect to z.\nAnswer: 4*b*q*z - 47*b*q - q - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (2 + 11) - (-13 - -6 - 28).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11250*u**4 + 11250*u**4 - 1530*u**2 - 413*u**5 - 253*u**5 wrt u?\nAnswer: -39960*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -228 + 238. Let t be b\/18 + 21\/((-189)\/(-4)). Sort 5, -5, -4, t in descending order.\nAnswer: 5, t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = o - 13*t, o + 2*o = 53*t - 57*t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4931.\nAnswer: 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-41*l**2 - 26*l + 26*l)*(2*l + 2 - 2) + (-5 + l**2 + 5)*(-16 + 6*l + 16) in the form t*l**3 + p*l**2 + c*l + y and give t.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 7:56 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, 21, -5, -2, 65, -4 in decreasing order.\nAnswer: 65, 21, 14, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 61*h**2 - h. Let z(v) be the first derivative of -v**4\/6 + 60*v - 25. Let p(k) be the first derivative of z(k). Determine j(p(c)).\nAnswer: 244*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -159 + 367. Let y = c + -204. Factor -1\/3 - 2*b**2 - 4\/3*b - 1\/3*b**y - 4\/3*b**3.\nAnswer: -(b + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1272 by 424.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12.71 + -12.51. Which is the third biggest value?  (a) 0.55  (b) -5  (c) z  (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.095 + -0.1063. Let z = 0.131 - 0.13. Let i = z + l. What is i rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1ff + -960a?\nAnswer: -9809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1047 and 33?\nAnswer: 11517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -22 + 15. Let h = j - -8. What is the smallest value in h, -2\/3, 1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z + 31. Give l(-10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 7, 17, -1 in increasing order.\nAnswer: -3, -1, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(637)*-3 + -5 + sqrt(637) + -2 + (3*sqrt(637)*1 - sqrt(637)) + (sqrt(637) - 3*(sqrt(637) + 1)))*2 + -5)**2.\nAnswer: 1400*sqrt(13) + 10817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 784532 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(32) + -5.\nAnswer: -24*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(1\/2)*b)\/b**(1\/2))**(-27)*((b*b**(-1\/3))\/(b*b**(-6)))\/(b**(1\/2)\/b)**(2\/63) assuming b is positive.\nAnswer: b**(-1343\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 109*a - 47 - 62. Let b(s) be the first derivative of 5*s**3\/3 - 3. Determine b(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that s**3\/5 + s**2\/5 - 14*s\/5 - 24\/5 = 0.\nAnswer: -3, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 17\/2 of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 - -3 - -5 - 9\/(-3). Let m(c) = -c**3 - 4*c**2 - 3*c - 6. Let j be m(-6). What is the highest common divisor of j and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -2*y + 9. Let s be m(18). Let x = -6 - s. Calculate the smallest common multiple of 30 and x.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 155 divided by -395707\nAnswer: -155\/395707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 2*i = 17, 2*h + 6*i = 2*i + 22. Let q be h + -9 + 9\/4. Factor -3\/4*v**2 - 1\/4*v**3 - q - 3\/4*v.\nAnswer: -(v + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**2 + 8*k - 6. Let g be t(7). Suppose -5*l + g = 2*r - 44, 4 = 4*l. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5050 - 45?\nAnswer: -5135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 351 is divided by 121.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -6*5*((sqrt(209) + 4*(sqrt(209) + 2*sqrt(209)))\/(sqrt(99) - -1*sqrt(99)))**2 + -4.\nAnswer: -16049\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1256925.\nAnswer: 3, 5, 16759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -3*r**2 - 1. Let w(u) = -76*u**2 - 26*u - 1686. Let p(a) = 12*m(a) - w(a). Differentiate p(i) with respect to i.\nAnswer: 80*i + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 - (-1)\/2)*10\/515. Which is bigger: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m + 4. Let h(b) = -1. Let d(q) = 6*h(q) + y(q). Suppose -2*r - r = -3*u - 30, 5*r - 40 = 3*u. Determine d(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - -201120?\nAnswer: 201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes before 1:46 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 72778 is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -5  (b) 14  (c) 2\/9  (d) 0.5  (e) 428\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**37)**(2\/19))**13 assuming w is positive.\nAnswer: w**(962\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 2\/11, 0.04 in descending order.\nAnswer: 2\/11, 0.04, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.0916 + 5.0916. Which is the third smallest value?  (a) 65  (b) t  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u = -7*u. Sort u, -3, -1, 0.1 in decreasing order.\nAnswer: 0.1, u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -77040*k - 77105*k + 154137*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-4) - (66\/(-8))\/11.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3865*q - 2808*q + 14483 - 14664 - 56897 = 0 for q.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7773 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 6*b - 3*i - 9, -6 = 2*b + 2*i. Is 53 a factor of 257\/(-3)*(b + (-7 - -4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**3 + 342219*h**2 + 9898786125*h + 7916578453125.\nAnswer: 3*(h + 823)*(h + 56625)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-2 + sqrt(192))**2.\nAnswer: -32*sqrt(3) + 197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d + 5. Let w(u) = -7*u + 32. Let j be w(5). Let m be z(j). Solve -m*a - 20 = -4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2942849.\nAnswer: 7, 13, 73, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = 5*k - 5*v + 7, 0 = -6*v + 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27, 0.2, 0.5 in descending order.\nAnswer: 0.5, 0.2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 a factor of 3075696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 57*6*96\/(-54). Round c to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**3 - 2*v. Let f be h(3). Let n be (-6)\/33 - 6\/f. Does 3 divide (7 - 6)*(n - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s**3\/3 + 2770*s**2\/3 + 498976*s\/3 - 423031048 = 0. Calculate s.\nAnswer: -627, 1006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -190*d - 90000 = -172*d. Is -5002 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 22 = 62. Let w be 4\/(-6) - 8\/g. What is the nearest to w in -0.2, 5\/6, 2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7126337 to the power of 1\/2, to the nearest integer?\nAnswer: 2670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 7, -4\/3, -2\/5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 - 2*h - 7*h - 10*h**2 + 2 - 4*h. Let m be (-13 - -11)*(-27)\/(-6). Let v be y(m). What is the greatest common divisor of v and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 + 5a8?\nAnswer: 5a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.2 times -2.42?\nAnswer: 2.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (42*x**5 - 6*x**2 + 6*x**2 + 16*x**5)*(0 + 0 + 1).\nAnswer: 58*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1491697912.\nAnswer: 2, 17, 83, 103, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13655*f**2*u**3 + f**2 + 2*f*u**3 - 10*f*u - u**3 + 3*u - 6 wrt u.\nAnswer: 81930*f**2*u + 12*f*u - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 238  (b) 1  (c) 0.5  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1 and 1585.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 PM and 8:26 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 342335 = z, -2*t + 228230 = -2*z + z. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11111011100001011110011 - -1011011?\nAnswer: 11111011100001101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -3 - 5*w - w + 2*w. Let q be d(-3). What is the greatest common divisor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 111 divide 9908993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(11) + -1)**2 - ((0 + sqrt(11))**2 + 1 + sqrt(11)).\nAnswer: -5*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 34 = 2*m - 4*f, -2*m + 28 = 2*f. Suppose m = 7*z + 1. Solve -3*w + 2 = a + a, -z*a = -w - 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:26 PM and 8:58 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**2 - 16*v + 34. Determine o(15).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2\/15263 + 1266817\/91578. What is the common denominator of 73\/22 and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6*(6\/4 - 2). Let k = y + 4. Let d = k + 23. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -124*z + 448. Let r(m) = -19*m + 70. Let t(g) = 32*r(g) - 5*y(g). Let x(p) = -4*p - 3*p + 5*p. Determine t(x(j)).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + 24 = -0*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**2 + 5*v - 2. Let z be ((-17)\/51)\/(3\/54). Determine f(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -25*o**2 + 24*o - 59. Let q(u) = -6*u**2 + 7*u - 15. Determine -3*c(m) + 13*q(m).\nAnswer: -3*m**2 + 19*m - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/28950 and -67\/2058345.\nAnswer: 20583450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/8 and 31\/288?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*s**4 - 4361*s**3 - s**2 - 8*s - 387770.\nAnswer: -8*s**3 - 13083*s**2 - 2*s - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uwwwullrmu. What is prob of sequence lu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -33 + 35. Solve n + 3 = -x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 9 + -1b7?\nAnswer: -1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(9)\/((sqrt(432) - -1*sqrt(432)) + sqrt(3)).\nAnswer: sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-5\/3)\/a**(-2\/7)*(a*a**(2\/7))**31)\/((a**(-1\/8)\/a**(-8))\/(a**(-6)\/a**(-2))) assuming a is positive.\nAnswer: a**(4469\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1745.4983 - -1744.7. Let p = -1.1 + 1.9. Let i = d + p. Round i to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 15*j**3. Let v(m) = 2111*m**3 - m. What is 4*p(l) + v(l)?\nAnswer: 2171*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 239, 192, 123, 38, -57, -156, -253, -342?\n\"Answer: b**3 - 17*b**2 - 3*b + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/5))**(3\/20) assuming v is positive.\nAnswer: v**(3\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (12\/72)\/((-132)\/176 + 0\/(-1)). Let f = 0 - 1. What is the nearest to t in -0.5, f, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 99, 201, 303?\n\"Answer: 102*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 314335 and 1666.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17 + 17 + 20*d)*(2*d - 2*d + 3*d) + (0 + 0 - 2*d)*(5*d - 4*d + d).\nAnswer: 56*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78 = 7*x - 15. Let r be x\/(-3) + (-7)\/(-7)*-2. Let k be (-4)\/(-3) + 4\/6. Calculate the greatest common divisor of r and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10210 - -1211110022110?\nAnswer: 1211110011200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 573087748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, f: 11, x: 2, l: 1, i: 2, z: 2}. Give prob of sequence xx.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.065 - 0.065. Let u = -24.5 + 23. Let l = 1.3 + u. Which is the nearest to l?  (a) 3  (b) 1\/3  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*o + 4*o = -1068. Let w = o - 1613\/9. Find the common denominator of w and (-43)\/(-11) + 1 + -1.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p = 3*h + 35, -3*p - 4*h = -5*h - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8526 in -1, -2\/5, 10\/9?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-five halves of a tonne in kilograms?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14077697 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 - 4*t**2 + 3*t - 4. Let x be d(3). Let k be ((-2)\/1)\/((-12)\/(-3)). Let h be ((-2)\/(-8))\/((-6)\/(-16)). What is the closest to h in 0.3, x, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -2*x - 42. Let t(y) = -4*y - 83. Give -5*i(c) + 3*t(c).\nAnswer: -2*c - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -35.865 + 36. Let u = 0.075 - h. What is the closest to -2 in 0.1, -3\/7, u?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -0*a - 3*a. Let k(d) = d - 8. Let i be k(a). Suppose -i - 8 = -2*x. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -19491 at most -19521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/78)\/(1587\/(-1058))?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.693 - 1.693. Let v(l) = l**2 + 24*l - 1. Let s be v(-24). Let n = -0.36 + 0.06. What is the closest to a in n, s, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37002?\nAnswer: 2, 3, 7, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1\/5  (b) 0.2813  (c) 3\/5  (d) -2\/7  (e) -0.053\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a + 21. Let k be i(-18). Suppose -n + 15 = 5*w, k*n + 3*w - 1 = 20. What is the highest common divisor of n and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from lglmggggwgwll.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 6*p - 20. Let r = 76 + 3. Suppose 5*b + 70 = 2*f, -5*b + r = 5*f - 26. Solve -4*w - 2*l = -20, p*l - f = -4*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 693379385 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 23.5 and 1563.\nAnswer: 36730.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - -1\/2. Suppose 5*v - 4*m = 0, -2*v = -m + 5*m + 28. Which is the third smallest value?  (a) v  (b) y  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*r**2 - 2 + 2)*(-2*r + 0 + 0) + 31*r**2 + 14*r**3 - 31*r**2 to the form y*r + k + s*r**2 + v*r**3 and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13221 + -132202213?\nAnswer: -132222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8.908 + 1.308. Put m, -0.1, 2\/3 in decreasing order.\nAnswer: 2\/3, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 660.674 litres?\nAnswer: 660674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l - 351 + 351 + 0*l + 101*l + 5*l**2 = 0. Calculate l.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-624)\/(-60))\/26*-2*6\/8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*-4*(4 + (-2 + sqrt(448) + 0 - (5*(sqrt(448) + 2*sqrt(448)) + sqrt(448))**2)).\nAnswer: -458744 + 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-112)\/(-48)*((-2574)\/77)\/(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of -23*q**4\/2 + 4*q**3\/3 + 5*q**2 - q + 21. What is the units digit of a(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**3 + 8*n**2 + 9*n + 45. What is u(-8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 1031.485833s?\nAnswer: 0.0017054990625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 23 + 109. What is the third derivative of -d - l*d**4 - 10*d**2 + 27*d**4 + 5*d**2 wrt d?\nAnswer: -2520*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -760*k + 2 - k**2 + 125*k + 294*k + 144*k to the form a*k + u*k**2 + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 206776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28 is divided by (-5)\/15 - (-31)\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 340*q + 219*q = 441*q - 1062 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o - 2*c = 25, -85 = o - 3*c - 90 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the first derivative of r**6\/120 - r**5\/60 + r**2 - 3. Let v(k) be the second derivative of u(k). What is f in v(f) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*c**2 + 16*c - 6*c**2 - 36 - 16*c to the form w + a*c**2 + p*c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 5 - 2*b + 0 + 4*b - 1. Let k be j(1). Suppose 4*s + k = 5*s. Solve s = -f + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 48*b**4 + 6*b**3 - 4*b**2 - 22050.\nAnswer: 192*b**3 + 18*b**2 - 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*u - 315 = -7 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/33 - (-544)\/(-880).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05077005 rounded to three decimal places?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/96614388 and -77\/53674660.\nAnswer: 483071940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -5*p**2 + 58*p - 37. Calculate m(10).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122073207 = -147*b - 122059536 for b.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -337 + 605. Is i a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3106?\nAnswer: 2, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m**3 - 1 + 5*m**3 - 995*m**2 + 995*m**2.\nAnswer: 4*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -249 + 244.05. Let k = 0.05 - z. Let f = 1\/7 - 5\/133. What is the second smallest value in f, k, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1579738 to the power of 1\/2, to the nearest integer?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*x + 29394 + 145902 = 0. Is x a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1614927592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14255702\/714945 - -4\/21665. Let i = 5915\/3 - 1951. Let f = z + i. What is the closest to f in 4, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*a**4\/11 - 18288*a**3\/11 + 492466*a**2\/11 - 1349412*a\/11 + 875232\/11 = 0. Calculate a.\nAnswer: 1, 2, 24, 9117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is a79 (base 14) in base 10?\nAnswer: 2067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*d + 346 = -23*d. Let k = -110 + d. Calculate the highest common factor of 14 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 773240 a multiple of 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -258095582 by -5.\nAnswer: 258095582\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tzzqztziqiezx. What is prob of sequence zx?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand r**2 + 2*r**2 + r**2 + (2*r**2 + r**2 - 4*r**2)*(0 + 2 + 0) + (-91 - 81 + 62)*(3*r - r - 3*r)*(3 + 1 - 3)*(2*r + 1 - 1).\nAnswer: 222*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*c**3 + c**3 - 2*c**3)*(-2868*c - 29538*c - 11968*c - 10904*c + 826*c) to r*c**4 + a*c**2 + p + s*c**3 + n*c and give r.\nAnswer: 163356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 350 - -839. What is the greatest common factor of 29 and a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -182198 divided by 1.\nAnswer: -182198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65 - 148 - 121 + 16*t.\nAnswer: 16*t - 204","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3863287 is divided by 1144?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 + (-9)\/(-3))\/((-8)\/12). Which is the closest to 4?  (a) -1\/4  (b) k  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.2 and 38149.\nAnswer: 38149.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19 + 6 + 9 - -1) + -1 + -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*s - 12 = 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2369500 and 1400?\nAnswer: 4739000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 54\/5 of a century?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/10 + 2\/5. Let r = 7\/281 + -302\/843. Which is the closest to r?  (a) w  (b) -2  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2546, -5106, -7676, -10262, -12870?\n\"Answer: -n**3 + n**2 - 2556*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/2)\/(((-143)\/22)\/(-13)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 2888812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 11:41 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/120 and (-134)\/(-64) - (2 - 1)?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1268*q = -125*q + 667*q - 106790 for q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**3 - 12*y**2 + y - 2. Let v = 160 - 172. Calculate m(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1, 5.89, -1.6, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 4\/1041?\nAnswer: 4\/1041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -2 + (-2*sqrt(88)*-3)\/(sqrt(16)\/sqrt(8)) + 0)**2*-1 + 4.\nAnswer: -1584 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 2006*z**2 - 32*z - 32. Let q be a(-1). Calculate the highest common divisor of 34 and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 617*y**3 - 1592*y**3 + 643*y**3)*(-1 + 1 - 2*y**2).\nAnswer: 664*y**5 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes after 11:56 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 5*n - 4*n. Which is greater: n or -1\/24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7515745.\nAnswer: 5, 1503149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 577317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-22)\/(-44) + (-5)\/(-2). Let p = j - 2. Solve w - p = -4*t + 16, 0 = 3*w - 4*t + 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10958971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58473*t - 48 = -58521*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = u + u - 146, p + 38 = -u. Let c be (-10)\/(-6) - p\/111. Solve c*j - 5 = -7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -b246 + 14d?\nAnswer: -b0d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes after 4:58 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3329679 - 1407776 = -55*x - 694020. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432)*-3 + sqrt(12) - (sqrt(12) + (sqrt(108) + sqrt(108)*6 - sqrt(108))))\/((1*sqrt(4200))\/(1*sqrt(112))).\nAnswer: -72*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 9*a**2 + 3 + 0*a**2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-4)*(-2)\/4*-2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/171 in 1\/3, -0.3, 60627?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -126*g*s**2 + 1875*g*s*v - g*s + 48*g + 3*s**2*v + 5*s - 5*v wrt v?\nAnswer: 1875*g*s + 3*s**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1246 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**3 - 6*j**2 - j - 12. Let m be h(6). Let g = m - -12. Let c(o) = -11*o - 4. Let u be c(g). What is the greatest common factor of 93 and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g. Suppose w + 1 = -4*n - 2, 5*w + 5*n = 0. Let j(k) = -3*k**2 + 2*k. What is w*j(h) + 2*d(h)?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 85214 and 426070.\nAnswer: 426070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the second derivative of -n**5\/100 - n**4\/20 - n**3\/10 - n**2\/10 - 8*n. Determine z, given that a(z) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 7, 5, 9610, 3 in ascending order.\nAnswer: 0.2, 3, 5, 7, 9610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/11, -5, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 476083 times -3?\nAnswer: -1428249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrsssr. Give prob of sequence sr.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {a: 2, q: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 5*i = 18, 2*h + 13 = -h + 4*i. Is h at most 0.038?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*d**3 - 24883*d**2 - 19598*d**2 + 13*d**3 + 44481*d**2.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -12975397, -12975392, -12975385, -12975376, -12975365?\n\"Answer: l**2 + 2*l - 12975400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kmkukksts. Give prob of picking 1 s, 2 k, and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 2*g**2 - 8*g - 13. What is the remainder when i(11) is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 0, 7, 14, 21?\n\"Answer: 7*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 443.\nAnswer: 3\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**2 - 275765*y - 3309038. Determine r(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 - 764 = -11*d. What is the greatest common factor of d and 240?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 512778 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 137*j + 9811. Is g(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-18 - -19)\/(1\/7). Suppose -31 + q = x. Let p = x - -32. What is the smallest common multiple of p and 13?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/15 and 54\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 8) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(3159))\/(sqrt(363)*2 + sqrt(363) - sqrt(363) - sqrt(3)).\nAnswer: -6*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1148356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 48*l*m**2*s - 3850*l*m**2 - 9*l + 1158*m**2 - 69*s wrt l?\nAnswer: 48*m**2*s - 3850*m**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1687770 and 83790.\nAnswer: 11814390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -1\/12  (c) -1579  (d) 0.2  (e) -8  (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-9)\/6*4\/(-3). Suppose -i + 15 = z. Let w be (1 + -14)\/((-2)\/10). What is the highest common divisor of i and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 2*g**3 - 17*g**2 + 1049*g + 528. Let k(d) = -d**3 + 5*d**2 - 350*d - 176. Let u(h) = -3*a(h) - 8*k(h). Find q such that u(q) = 0.\nAnswer: -16, -1\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1729 + -1 + 2)\/((-10)\/2 + 4). Is z > -1730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -4*m + 12 - 16, -16 = -n + 3*m. Solve 0 = -4*p + 2*h - 8, h - 2 = 3*p + n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -6313.33636 from 0.5.\nAnswer: 6313.83636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = 2*n + 6, 5*n + b + 4 = 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 380, 537, 710, 827, 816, 605, 122?\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 12251, 12262, 12273, 12284, 12295?\n\"Answer: 11*i + 12240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**3 - 10*h**2 + 12*h - 21. Let i be l(9). Let w(q) = 7*q**3 - 5*q**2 - 6*q + 67. Is w(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 23*o**3 + 2*o**2 + 5*o. Let i(z) = z. Let s(w) = -6*i(w) + u(w). Is s(1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0*(-2)\/4 + 2. What is the third derivative of 0 - 28*w**n + 10*w**6 + 0 + 18*w**2 wrt w?\nAnswer: 1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of -5*p**3\/2 - 4*p. Let q(i) = -11 + i**2 + 11. What is y(q(t))?\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 20\/89  (b) 5\/2  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.5  (b) 2  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 73, -21, -2 in decreasing order.\nAnswer: 73, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + 1. Suppose 9 = y*r - 18. What is the remainder when 25 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-1760)\/12 - 0)*(-6)\/5. Let g = -71 - a. Let d = 388 + g. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 85\/286 - 3\/26. What is the closest to 2 in -4, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -204*g*i + g - 13 with respect to i.\nAnswer: -204*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*k**3 - 42 + 78*k**3 - 79*k + 103*k - 62*k**2 - 229*k = 0. Calculate k.\nAnswer: -7\/5, -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -689239*f + 685570*f + 33 - 33.\nAnswer: -3669*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jhh when three letters picked without replacement from {j: 10, h: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3514 and 639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5057*n - 18896443 - 30893*n + 18896443 to the form l*n + b and give l.\nAnswer: -35950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-11)\/u*u)\/(u**2*u))\/(((u\/(u\/((((u*u**(3\/5))\/u)\/u*u)\/u)))\/u*u)\/u)**(-31\/5) assuming u is positive.\nAnswer: u**(-567\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 65 + 19. Suppose 0 = 11*k - 10*k + 4, -u + 5*k + 26 = 0. What is the smallest common multiple of h and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11798 and 890579.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.1 and 70197.\nAnswer: 70196.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3 - (-1 + -70)) + 4. Suppose 9*b = 13*b - w. What is the remainder when 89 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 divided by -120546?\nAnswer: -29\/120546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -1 - 6*t**2 + t**2 - t**2 + 2*t**2 + t. Let x(f) = 7*f**2 - 2*f + 2. Give 5*o(i) + 3*x(i).\nAnswer: i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 15, t: 3}. What is prob of picking 3 t?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 9*z + 2. Let p(h) = 22*h + 5. Let a(w) = -5*l(w) + 2*p(w). Let d(t) = 865*t - 317*t**2 - 865*t. Determine a(d(x)).\nAnswer: 317*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) 27  (c) -3  (d) -2  (e) -0.337  (f) 0.3  (g) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 15 + -21 - ((-2 - 4) + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-16))\/((-5)\/(100\/5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/2)\/(10\/80*-12)*50482\/1174?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 7}. What is prob of picking 4 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 184*t = -183*t + 3, 0 = 3*c + 2*t + 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-50)*6*-20)\/((-9)\/(-45)*2).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 2 = 3*i + 5*x, -3*i = 3*x - 6. Suppose b = 2*w - 5*w + 35, -4 = 4*b. Let k be (-2)\/w*(-24)\/18. What is the closest to i in 4, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7896\/868560*66\/8.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (4 + 5 + (-4 + -2 + sqrt(567))*4)**2 + -5 + 3.\nAnswer: -1080*sqrt(7) + 9299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 20\/(-3)*(-4 + -5). Suppose 4*r - 8*r + u = 0. What is the highest common divisor of 90 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3186 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 4, l: 4, q: 3, j: 1, x: 4}. What is prob of sequence lj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3 + 4*k**2 + 4*k - 1. What is f(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 + 9*d**2 - 10*d - 22. What is u(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/((-2)\/(-3)) - 0 - 3. Solve l*i = -u - 4*i, -i = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**3 - 6*y**2 + 6*y + 6. Let h be u(-7). Calculate the highest common divisor of h and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -30*w - 3. Let p(c) = 8118*c - 8118*c + c**2. What is p(b(l))?\nAnswer: 900*l**2 + 180*l + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 82 divide 3938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 45930.37ml in litres?\nAnswer: 45.93037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes before 1:07 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zagaxaxagagga. What is prob of sequence gxa?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the third derivative of -307*p**9\/252 + p**5\/60 + 365*p**3\/6 - 136*p**2. What is the third derivative of z(n) wrt n?\nAnswer: -73680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -64*l - 3. Suppose 9*t - 14*t + 7 = 4*a, t + 4 = a. Give x(t).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 4, -35, 1, -2, 2 in decreasing order.\nAnswer: 7, 4, 2, 1, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from dghkhgdknghxgdx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 519017 is divided by 60.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(1\/2))**(-2\/11))**(1\/30)\/(((j*j*j*j**(-3))\/(j*j\/j**(1\/7)))\/((j\/(j\/(j*(j**(-2)*j)\/j*j*j)*j))\/(j**(-3\/2)\/j))) assuming j is positive.\nAnswer: j**(5029\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 7743.865 * -0.16\nAnswer: -1239.0184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 6 + 3)*(-4*g + 0*g + 5*g) + 5*g + 6*g + 15*g - 5*g + 7 - 7 + 2*g + 3*g - 2*g.\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -11*j + 58 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 477642281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7\/24 + -1\/8. Suppose a = -4*a. What is the biggest value in a, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -864\/5 + 172. Let i = -550 + 553. Which is the third smallest value?  (a) i  (b) 4  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1905, 3831, 5757, 7683, 9609, 11535?\nAnswer: 13461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1121 - -7090. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114 = 68*l - 15*l - 1105 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/3, 3, -0.4, -1\/4, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 2020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -59  (b) -0.4  (c) -4  (d) 27  (e) -1\/7  (f) 278  (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4853 is divided by 154.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -12*r**4 + 55998604*r**3 - 65330029375064*r**2 - 108883575175936*r + 43553415137408 = 0.\nAnswer: -2, 1\/3, 2333276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 32  (b) 1  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 PM and 4:46 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 6226 divide 2905898336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b - b - 488*b**2 - 493*b**2.\nAnswer: -981*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**6*(c**(-2)*c*c)\/c*(c\/((c*c**(-2))\/c))\/(c*c**(-1)*c)*(c\/c**(-3))\/c*c**(-3\/4)*c*c**(1\/2)\/c*c*c\/(c\/(c**(3\/5)\/c*c)) assuming c is positive.\nAnswer: c**(227\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*d**4 - 2*d**3 - 3*d**3 - 156*d - 3 + 92*d + 77*d in the form v + w*d**3 + r*d + j*d**2 + z*d**4 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 219 + -192. Calculate the least common multiple of 72 and g.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16.5 + 17. Which is the biggest value?  (a) i  (b) 2\/3  (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a**5 - 48*a**4 + 117*a**3 + 169*a**2 = 0.\nAnswer: -1, 0, 13\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 1387774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(56)\/sqrt(7))\/(sqrt(64) + sqrt(64)*-3).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 165 - 265. Let f = -98 - j. Let u(t) = 10*t**f - 2*t**2 + 2*t**2 - 5*t**2. Let q(v) = 3*v. Give q(u(l)).\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.6 - 3.4. What is the second biggest value in b, 3, 26\/17?\nAnswer: 26\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 28 + -28. Factor -1\/3*z**2 - 1\/3*z + w.\nAnswer: -z*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -2*b - 4. Let u be p(-3). Suppose -3*h = u*h, 0 = 5*a + 4*h - 15. Suppose 7*v - a*v = 0. Solve 4*r - 20 = -v*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2183, 9896, 23139, 41912, 66215, 96048?\n\"Answer: 2765*c**2 - 582*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(19) - sqrt(95)\/sqrt(5))**2 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, d: 1, l: 3, y: 5, v: 1}. Give prob of sequence dqqv.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1414140 (base 8) to base 10.\nAnswer: -399456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7)*2*1)**2 - sqrt(63)\/(sqrt(9)*1) - sqrt(63)\/(sqrt(45)\/sqrt(45)).\nAnswer: -4*sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 64871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:47 AM and 11:21 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 16, -7\/8, -10, -5?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 1 + 6 - 4 - 7*i**2 - 1 + i**3 - 6*i. Let j be x(8). Find the second derivative of -3*f**5 + 18*f**4 - 3*f - j*f**4 wrt f.\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 91.2067 + 0.0933. Let q = -97 + n. Round q to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 17  (b) 49\/5  (c) -55  (d) 3.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**2 + 5*z + 13. Let k be t(7). Let s be (-75)\/(-12) + 0 - (k - -2). Determine v, given that 49\/4*v**5 + 0 - 6*v**3 - v**2 + 0*v - s*v**4 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -640*c + 284*c + 295*c in the form g + z*c and give z.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10280*t + 10292*t - 60 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 297 and 486?\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 + 13. Let i = 3 - n. What is the tens digit of -6*i\/2 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of -2*n**5\/15 + n**4\/3 - 2*n**3\/9 - 4. Factor d(v).\nAnswer: -2*v**2*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5745304511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2187576004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22591)\/58*(-64)\/(-5472)*-27?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11425541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.097?  (a) 1\/2  (b) 0  (c) -2964  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -5 - (-32 - (-17 - 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, -2527128, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 182 divided by 106385.\nAnswer: 182\/106385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 5:36 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -35, -1\/2, 182, 2?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 204*f - 3202 + 1580 = 2458 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 + (2 - (-20)\/(-6)). Let p = 3.1 - 2.8. Let s = 17.07 + -18.07. Sort u, s, p in ascending order.\nAnswer: s, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the third derivative of -19*r**2 + 0*r - 55\/6*r**3 - 1\/3*r**4 + 0. List the prime factors of h(-14).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9965296 divided by -27\nAnswer: -9965296\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 182*i + 13306. What is v(-73)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30 - -3 - ((-100 - 37) + 100)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 + -10. Let w = -2 + g. Solve w*i = -2 + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -70*k**2 + 39*k**2 + 35*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8585432034?\nAnswer: 2, 3, 73, 19601443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -642 - -674. What is the remainder when s is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 385249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 5*p**2 + 3*p + 4. Let d(a) = -9*a**2 - 6*a - 8. Let u(h) = -4*d(h) - 7*o(h). Suppose 4*l - 12 = -28. List the prime factors of u(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 27402, 54530, 81658, 108786?\nAnswer: 135914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*j**3 + 2*j**3 - 2*j**3)*(1 - 5 + 2 + 2*j) as q*j**2 + h*j**3 + u*j + f*j**4 + c and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 - 13*x**2 + 171*x - 60. Let p be m(19). Which is smaller: 5354 or p?\nAnswer: 5354","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21213110 + -20001?\nAnswer: -21233111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**2 - 8*y - 7. Let g be 0 + 6 + (3 - 5). Suppose 25 = -g*i + w + 6, -22 = 5*i - 3*w. Determine c(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*o**2 + 4836 - 4836.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4034300 - 1?\nAnswer: 4034255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 4, n: 2, e: 4, c: 4, f: 6}. Give prob of sequence eyne.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**2*d)**(-2\/9)\/(d*d\/(d\/(d*d*d*d\/((d**1\/d)\/d)*d))*d)**28)\/(((d**(-4)*d)\/(d*d**(-4\/11)))\/((d\/(d\/(d**0\/d)*d))\/d**0)) assuming d is positive.\nAnswer: d**(-7360\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-3)*471\/(-628).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -456 - -451. Put w, 3, 5, -2 in decreasing order.\nAnswer: 5, 3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-10) - 4\/(-20). Suppose g = 4 - r. Suppose -7 = g*s + 9. Let u(j) = j**2 + 3*j + 2. Give u(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-12)*k**(-11))**(-39) assuming k is positive.\nAnswer: k**897","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 2*t + 1. Let a be s(2). Let z(m) = m**2 + 11*m - 1. Let q(v) = -2*v - 1. Let d(n) = 2*q(n) + z(n). Is d(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.27 - -0.6. Let z = n + 2.65. Let k = -4 + z. What is k rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -710387 + 710387 - 10*r + 6*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n + n**2 + 2*n - 10*n)*(47 - 4 + 1)*(4*n - 6*n + 0*n).\nAnswer: -88*n**3 + 1056*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -430*((-40)\/(-14) + -3)*(-441)\/(-126) is divided by (-1 + 0)*64\/(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -r + 3*r + 17, 5*r - 35 = 3*j. Differentiate -d**4 - 2*d**r - 12 + 2 + 22 with respect to d.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 86896396\/10575 + -389200\/47. Let x = -574\/9 - j. Let n = 4.11 + -0.11. What is the second smallest value in n, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*s = 3*s - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -5 + 1618*v + 5 - 1616*v. Let y(d) = 5*d**2 + 5*d. Let q(m) = 3*m**2 + 2*m. Let u(s) = 5*q(s) - 2*y(s). Calculate u(x(g)).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 21\/5 of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - b - 3*b + 6*b)*(33112 - 33112 + 103*b).\nAnswer: 206*b**2 - 309*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -68509*b*g**3*s + 12*b*g**2 + 4*b*s + 7*g**3*s - 79*g**3 + 48*g**2*s + 71*s + 11 wrt g?\nAnswer: -411054*b*s + 42*s - 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/7 equal to -2\/143636825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5550?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the third derivative of 269*t**6\/40 - 281*t**5\/15 - 654*t**2. What is the third derivative of m(l) wrt l?\nAnswer: 4842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(13\/(-4 + 5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*c**2\/5 + 33156*c\/5 + 6632 = 0. Calculate c.\nAnswer: -1, 8290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 6, v: 2}. What is prob of picking 3 f and 1 v?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 32085 and 2904210.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4788 + -4781. What is the remainder when 334 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21048 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8331 is divided by 3500.\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 1 + 5)*(2*p - 2*p - 2*p) - 9*p + 4*p - 2*p - 1.\nAnswer: -5*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) 0.5  (c) -2\/21  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-6720)\/(-9520)*34\/(-44)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = o + o - 21, -4*o + i = -47. Let x be (-18)\/(-1) + (-1 - -4). Let l = x - o. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -64*c + 504. Give v(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, t: 3, x: 4, w: 2}. Give prob of picking 3 x.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5614247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from {z: 3, h: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -109 - -114. Which is the closest to -0.1?  (a) 0  (b) -12  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (35\/(-7) - -3)\/(2\/(-14)). Let f(v) = 13*v - 17. What are the prime factors of f(h)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the first derivative of w**4\/4 - w**3\/3 + w**2\/2 - w - 2. Let z be p(2). Sort 3, z, 4 in descending order.\nAnswer: z, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/5)\/((-4)\/(-60)) - 450\/70. Which is the nearest to v?  (a) -7  (b) 5  (c) -4  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63 = 3*l - 249. Suppose 3 = 2*d - 7. Suppose -p - 84 = -4*v - d*p, -v - 3*p + 21 = 0. What is the remainder when l is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*s - 2*s**4 + s**2 + s**3 - s**2 + s as u + b*s + h*s**4 + t*s**2 + n*s**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 78 and 234627?\nAnswer: 6100302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 - 9. Let w = r - -4.4. What is the biggest value in -3\/7, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 713.4 - 713. Which is the third smallest value?  (a) m  (b) -3\/2  (c) -12  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b - 2*x + 10, 0 = -b - 5*x + 3 - 6. Let y = -4 - b. Suppose -a + y*v = -2 - 15, 5*v - 102 = -3*a. What is the remainder when a is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*w**2 - w - 110 - 75 + 103*w**3 + 15*w**6 + 336*w**4 - 336*w**4 + 66 wrt w.\nAnswer: 1800*w**3 + 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 338, 674, 1010, 1346, 1682?\n\"Answer: 336*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 12, 4, -34, 5 in increasing order.\nAnswer: -34, 0, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-680 - -2)*3\/(-6). Find the second derivative of p*w - 153*w**5 - 128*w - 114*w wrt w.\nAnswer: -3060*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 19566 to the nearest 100.\nAnswer: 19600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -993 not equal to -4966\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 - 68*s + 9*s - 22 - 19.\nAnswer: -59*s - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/(-30))\/(-1 + 4)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13\/(-6) + (-3309985)\/(-33378).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n + 192 + 193. Let p = n + -51. Suppose -5*c - 1 = -p. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-7))**15 assuming k is positive.\nAnswer: k**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 33*v - 31*v = -4, -2*g + 2 = -3*v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -34 (base 9) in base 5?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*q + 24 = -14. Suppose 5*a + 6 = -3*j, 2*a - 5*a - 5*j = 10. Solve a = q*u + 4, 3*u - 8 = 4*w + 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26840.\nAnswer: 2, 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3242811 is divided by 368.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.001 + -1.001. What is the biggest value in 0, -2\/7, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 10*j**2 - 34*j + 5. Give w(8).\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 27 = 6*r - 2*z + 5, r - 1720357 + 1720350 = 3*z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00002109 to 7 dps.\nAnswer: 0.0000211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-3)*f**(3\/5))**(-2\/127) assuming f is positive.\nAnswer: f**(24\/635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 64 - 53. Suppose t = 2*r - r. What is the remainder when 62 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q*q**(-5)*q)**40)**(19\/3) assuming q is positive.\nAnswer: q**(-1520\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -202*g + 394*g - 197*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*r + 32*r - 4*v = -25, -4*r + 4*v = 0. Let w(q) = 3*q**2 - 2*q**2 - 2*q + 3 - 5*q. Calculate w(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = -16*f - 142. Put 0, f, 1 in decreasing order.\nAnswer: 1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + (34 - 6) + -16 + 24?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 27 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 3*i**2 - i - 17. Let l be h(10). Let g = l + -173. Round g to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from {p: 6, b: 3, g: 1, m: 2, l: 1}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 + 47b1?\nAnswer: 47b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((l*l*(l\/(l\/(((l*l**(-2\/13))\/l*l)\/l)))\/l)\/l)\/l)\/l**(2\/5))\/(l\/l**(-1\/4)*l*l)**(-16\/7) assuming l is positive.\nAnswer: l**(2673\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 21\/7 - (-10)\/(-3). Let s = 1 + -5. Which is the smallest value?  (a) -0.4  (b) g  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1874*y + 22320 = -2246*y for y.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25668\/5 + -5116. Let t = 17 - z. Which is bigger: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-60)*0)\/(3\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -136.5 + -3.03139607.\nAnswer: -139.53139607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5087 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 2 = 2*j + 4, 5*w - 35 = 0. Solve r + 3*f - 5 = 0, j*r - 12 = -0*r - 4*f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7293\/(-663)*(-6)\/319*2\/4?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -98241367*o**2*p**3 - 237*o**2*p**2 - 38*o**2 + 2*o*p**2 - 124*o*p wrt p.\nAnswer: -589448202*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-6) + (-5)\/(-15). Suppose 3*c + 0*c = j. Suppose -5*a - 2*u + 1715244 = 215250, a + 3*u - 299991 = c. Round a to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10 - -18. Suppose -12 - s = -4*h. Suppose 2*y - 1 = -h*m - 9, 0 = -4*y + 3*m + 36. Solve -f + y*f = -5*x + 15, -5*f + 33 = -4*x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/104 and 79\/4397172?\nAnswer: 8794344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 + 3 - 6) + (6 - 4) + -6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 141, 195, 249, 303, 357, 411?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-50130)\/36205)\/(6*2\/52).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 2*x + 23. Suppose -5*b + 18 = -7*b. Let l be f(b). Solve -12 = -8*j + l*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 65*p**2 - 52 - 7*p**2 + 0*p**2 - 65 - 24 in the form t*p + l*p**2 + z and give z.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 210 = 410*u - 431*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 98430.\nAnswer: 2, 3, 5, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -4*b**4 - 60*b**3 + 68*b**2 + 60*b - 64 = 0.\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*r**5 - 2*r**5 - 2*r**5 - 10*r**2 + 10*r**2 - 88*r**5 + (0*r + 0*r + r)*(-55*r + 31*r**4 + 55*r).\nAnswer: -61*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**2 + 3*v - 3. Let y be 1*(-16)\/(-4) + -1. Suppose -f = y*f - 16. Determine p(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 9*s**3\/2 + 237*s**2\/2 + 528*s + 504 = 0?\nAnswer: -21, -4, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 16*u - 7. Let g(q) = q**2 - 18*q + 11. Let n be g(18). What is the tens digit of j(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 10 - (-2 - 3\/(-1)). What is y in -7 + y**2 + q - 1 + 2*y = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and 0.053?\nAnswer: -0.0106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 6 = a - 3*x, -2*a + 3 = -3*x. Suppose -a*s + 28 = -8. Let q be -2 - -3*s\/27. Is -5\/4 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 19 - 2. Suppose -2*x + 5*q + 124 = 2*x, 0 = -3*x + 4*q + 94. Suppose 1 = -p - 4, a - 4*p = x. Calculate the remainder when f is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**2 - 1. Let b be g(2). Suppose -3*l + 12 = 4*c, 4*l = -c - 4*c + 16. What is the nearest to 1 in -0.4, b, -0.01, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 132968, 132964, 132960, 132956, 132952, 132948?\n\"Answer: -4*w + 132972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 24, -4, 7, 2, 0 in decreasing order.\nAnswer: 24, 7, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 14374 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2962 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 58, 102, 124, 112, 54, -62, -248, -516?\n\"Answer: -2*a**3 + a**2 + 55*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 4 = -x. Suppose -3*d = x*k - 17, k - 20 = -3*d - 0*k. Solve -s - q - 4 = 2*q, 2*s + q = d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1534014096 times 1\nAnswer: 1534014096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -38*r + 230. Let o be x(6). Suppose -o*h + 2*l + 18 = 0, -h - 4*l - 11 = 5. Solve h = u + 5*c, -3*u - 2*c - 3*c = -12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-364)\/1344*8)\/((-2)\/12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**3 - 11*s**2 - 9*s - 16. Give f(-10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 25*z**2 + 4*z + 5. Is n(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92\/1127*245\/30?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - -38. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 34\/11 - 90\/990. Suppose 4*a = p*g + 507, g - 35 = -3*a + 342. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (-9 - -3) - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -12*p - 1. Let r(j) = j. What is o(r(a))?\nAnswer: -12*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = m - 57. Suppose 4*n - m = -7. Suppose 0 = -n*j + 6*p - 4*p + 4407, 3*p = 4*j - 5875. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 40*m**4 + 20855*m**3 + 1216430*m**2 + 3817975*m - 2866500 = 0.\nAnswer: -455, -63, -4, 5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(99) + 1) - (2 + (1*sqrt(275) - sqrt(275))**2).\nAnswer: -3*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22449752.\nAnswer: 2, 13, 215863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/(-13 + 50\/(15750\/4165))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23 + 19. Let k = -2 - i. Solve -2*n + 8 = k*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1122246 (base 12) to base 15.\nAnswer: -44bd26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2021534 (base 10) to base 9\nAnswer: -3721018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -18*m**2 - 3*m + 3. Let n(z) = 395*z**2 + 65*z - 65. Determine 130*d(t) + 6*n(t).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + 2. Suppose 2*j = g + g - 86, h*g + 2*j = 154. Suppose 0 = 5*f - 3*f - g. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x**2 - 4*x**2 + 5*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 2*a - 5. Let j be r(5). Suppose 4*h + 46 + 6 = -j*l, 3*h = 4*l + 23. Let u = l - -26. Is 18 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -49 - -51. What is the second derivative of -355*p**2 + 4*p + 355*p**v + 27*p**3 wrt p?\nAnswer: 162*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1*(-9)\/(18\/92). Let n = r - 40. Suppose 0 = 2*d - 3*m - 77, d = n*m - m + 28. List the prime factors of d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 7292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the first derivative of -j**2\/2 - 4. Let z(r) = 37*r**2 - 18*r - 9. Let o(d) = 9*d**2 - 4*d - 2. Let w(f) = 9*o(f) - 2*z(f). What is w(k(y))?\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2 + 9*s - 19. Let h be r(6). Does 17 divide (374\/110)\/(h\/(-55))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from appopbaakkpb. Give prob of picking 1 b, 1 o, 1 a, and 1 p.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22 and 10461.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -108894168 - 33804.\nAnswer: -108927972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of l**4*x - l**4 - 1547*l**3*x**2 - 26892*l**2*x - 4*l*x**2 wrt l.\nAnswer: 24*l*x - 24*l - 9282*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(76)*-6 + sqrt(76)*1*-1)\/((-3*sqrt(8)*-2)\/((sqrt(48)\/sqrt(4))\/sqrt(6))))**2.\nAnswer: 5491\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -52 and -2536.4?\nAnswer: 131892.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*w + 4*w. Let u be w + 11 + (0 - 0). Solve -u = -2*a - 2*a - i, -3*i = -9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v*v\/v**(-5)))\/v**9)**(2\/23) assuming v is positive.\nAnswer: v**(-30\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 475 + -8?\nAnswer: 46d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:24 AM and 6:36 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the first derivative of l**4\/4 + 4*l**3\/3 - 5*l + 11. What is the units digit of x(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1137 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -29\/2 + 199\/12. Find the common denominator of 59\/18 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from jvjjjjjjvv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18 and 2907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 83*x**2 + 1. Let a(f) = 16343*f. Determine a(h(t)).\nAnswer: 1356469*t**2 + 16343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 12405\/11 smaller than 1128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10507*r**2 + 5249*r**2 + 5250*r**2.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -735 (base 8) to base 7.\nAnswer: -1251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 948*q + g - 2 = 949*q, 2*g = 3*q + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 888, 3559, 8010, 14241, 22252, 32043?\nAnswer: 43614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Do 17136 and 17135 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 5*o + 8, 2*t - 4*t + 26 = -5*o. Let z be 2\/8*-2*o. Suppose -4*u - z = -6. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 120930 by -1390.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -4*s - 4*s + 6 + 0*s. Suppose 3*f + 4 = 5*f. Let m be (f\/(-7))\/(8\/(-56)). Let p(d) = -d + 1. Calculate m*n(u) - 14*p(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**3 + 5*j**2. Let l be f(5). Let y(x) be the second derivative of -x**3\/6 - 17*x**2\/2 - 1572*x. Determine y(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*((sqrt(700) + 1 - sqrt(700)) + 1))**2 - (sqrt(700)*-2*4 - (-5*(sqrt(700) + -1))**2))*6 + -3.\nAnswer: -2520*sqrt(7) + 105171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-4*sqrt(208) + sqrt(208) + sqrt(208)).\nAnswer: -32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 2*l**2\/11 + 10264*l\/11 + 13168712\/11 = 0.\nAnswer: -2566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -49*b**2. Let p(z) = -137*z**2. Give p(l(w)).\nAnswer: -328937*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -165524 greater than 4\/537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -5*g**3 + 17*g**2 + 43*g + 23. Let n(i) = -20*i**3 + 69*i**2 + 171*i + 91. Let d(p) = -9*l(p) + 2*n(p). Determine b so that d(b) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 = 8*x - 237. List the prime factors of x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 27 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3\/10 + 9253*x**2\/10 - 203203*x\/10 + 1116951\/10.\nAnswer: -(x - 9231)*(x - 11)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 + 5*l**2 - 8*l - 5. Let z be o(-5). What is the common denominator of ((-99)\/(-12))\/(z\/(-20)) and 31\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-3)\/2)\/((-6)\/(-8)). Let t(h) = 2*h**2. Let f be t(z). Suppose f = u + u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 407.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -4*z**4 + 3*z**3 - 3*z**2 - 3. Let u(p) = p**3 - 1. Let s(t) = -a(t) + 3*u(t). What is the third derivative of s(v) wrt v?\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69*s = 126319 + 582242. What are the prime factors of s?\nAnswer: 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvvvvvlvvllvvvvvvv.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 80\/3 + 8\/(-12). Suppose -a = 3*j - 5*j. Calculate the remainder when 50 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1 - 23*h**3 + 7*h**6 - 137*h**2 - 87*h**2 + h**3 + 0 wrt h.\nAnswer: 840*h**3 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10110111111101101011 (base 2) to base 13.\nAnswer: -204c89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -t + 11, 2*t + 3*u = 4*u + 37. Suppose t*k + 63 - 294 = 0. What is the remainder when 32 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1210 (base 15) in base 14?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0 - ((-112)\/8)\/7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 26 - 6. Let x(t) = -t + 50. Let c be x(0). Calculate the highest common factor of c and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43220 to the power of 1\/2, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 40601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6 + 12\/((-19440)\/9711). Let m(v) be the second derivative of -1\/24*v**4 + 0*v**5 - 6*v + 1\/18*v**3 + 0*v**2 + 0 + b*v**6. Factor m(p).\nAnswer: p*(p - 1)**2*(p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 145 or 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 118509 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - 8 - (0 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(13) - sqrt(1300)*1))*4.\nAnswer: -36*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (7 - (39 + -40)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of -w**4\/12 - w**3\/3 + 7*w**2 + 3*w. Let p(q) be the first derivative of c(q). What is p(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 518 and 2553?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -17 + 10. Let q(g) be the second derivative of 4571*g**3\/3 - 3*g**2 + g + 29. Let n be q(p). Round n to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -46 + 62. What is the highest common divisor of 144 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*z - 72 = -47 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 times -0.6?\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -15\/1358 and 149\/18312.\nAnswer: 1776264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2109139 is divided by 14446.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00163988306 rounded to 5 dps?\nAnswer: 0.00164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 67, 242, 519, 886, 1331, 1842?\n\"Answer: -2*f**3 + 63*f**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 + 5. Suppose -2*k - 41 = -3*g, g + m*g - 7 = -k. What is the least common multiple of g and 2\/(-5) - (-21)\/15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (3 - (-44)\/(-12))*-15?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00048939427 rounded to seven dps?\nAnswer: 0.0004894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**3 - 5*m**2 - 2*m + 5. Let y be j(6). Suppose -7 - y = -2*i. What is the remainder when (-3)\/12 + 114*(-15)\/(-24) is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 65.984 + -66. Let b = 58.884 - y. Round b to zero dps.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -5*s + 4315, 2*s - 5*s + 4*o + 2594 = 0. What are the prime factors of s?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -13  (b) 1\/5100  (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dddddddddlddddd.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 13\/2?  (a) -1\/5  (b) 0  (c) 3\/2  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 1119*n - 243584. Give b(218).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -951 - -24729\/26. Let t = -31\/182 - m. Let p be -1*(-276)\/66 - 4. Which is the biggest value?  (a) t  (b) -9  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1211 and 92050.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 587271882?\nAnswer: 2, 3, 8311, 11777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 - -6.1. Let q = 570\/11 - 52. Which is the closest to k?  (a) q  (b) 3  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/297  (b) -3\/2  (c) 1\/73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -41*y + 256. What is w(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(5*sqrt(153) + sqrt(153))*4.\nAnswer: -216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2*y**2. Suppose 0 = -2*a + 3*p - 17, -4*p - p + 5 = -a. Let j be (a\/(-6))\/((-15)\/(-18)). Let x(q) = -4*q**2 + 2*q**2 + 8*q**j. Calculate f(x(c)).\nAnswer: 72*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 0.04, 0.1, 2, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 19 + (-12 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**3\/5 - 11*k**2\/2 - 51*k\/10 + 1.\nAnswer: (k - 10)*(k + 1)*(6*k - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3804159 hours in days?\nAnswer: 0.0158506625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 992629 - 983117 = 82*k for k.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1732488?\nAnswer: 2, 3, 37, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -228 + 396. Let b = s - 105. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 535, 495, 433, 349?\n\"Answer: -11*x**2 - 7*x + 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:36 PM and 12:03 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11391*i**5 + 10919*i.\nAnswer: 227820*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.3 + -1.3. Let g = 39 + -44. Put q, g, 8 in increasing order.\nAnswer: g, q, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.2 - 3. Let x = 0.1 - n. Let k = -33 - -32.5. Sort -2, x, k in descending order.\nAnswer: x, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) 9\/5  (c) 86\/123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -12413 and -2?\nAnswer: 24826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 746743 (base 8) to base 5.\nAnswer: 30434230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -2*c**2 - 39*c - 24. Let l be x(-25). List the prime factors of (-39514)\/l - (-2)\/(-13).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0016097522 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16 + -7. Let k = -4 + s. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -3*r + 5*w, w - 2*w = -4*r - 4. Suppose 3*t - 2*k - 9 = r, -5*t + 19*k = 16*k - 16. Solve -9*i = t*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 880 smaller than 817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 divided by -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -5*k**2. Let x(w) = 9*w**2 - 5*w**2 + 7*w**2. Let j(t) be the first derivative of 4*t**3\/3 + 4. Let f(p) = -17*j(p) + 6*x(p). Give s(f(c)).\nAnswer: -20*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 302, 2523, 6666, 12731, 20718, 30627, 42458?\n\"Answer: 961*z**2 - 662*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*d - 214 - 153 - 25 = 0. Solve 2*n = d, 0 = -z - 7*n + 11*n - 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3861*r - 7 + 9633*r + 9 to i*r + g and give i.\nAnswer: 5772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -36 or -39?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7237893ml in litres?\nAnswer: 0.0007237893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 128 - 29 = 3*l. Suppose -6*r = -3*r - l. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 5 + ((-3*sqrt(153) - sqrt(153))*-4 + -2)**2.\nAnswer: -192*sqrt(17) + 39182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70 = -3*k + 5*k - 2*v, 175 = 5*k - 4*v. Let w be (0 - (-1)\/2)*0. Suppose 0 = -5*o + 2*t + k + 5, 2*t = w. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 472716, 945770, 1418824, 1891878, 2364932, 2837986?\nAnswer: 3311040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the first derivative of 3*p**4\/4 + p**3\/3 + p**2 - p + 4. Is k(2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*b - 54 = -5*o - 15*b, o - 13 = 3*b. Let d be -78*(2 + (-65)\/o). Calculate the highest common factor of 26 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**2 + 11*j + 58. Let b be y(-4). Let p(t) = t + 0 + 0. Let q be p(5). Let c(i) = i**2. Let u(r) = 2*r**2. Determine b*u(m) + q*c(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 869699.8nm?\nAnswer: 0.8696998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nddnadl. What is prob of picking 2 n and 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -10100110111010 (base 2) to base 3\nAnswer: -112122122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (-12 - 9) + 28 - 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*l = -4*l - 2323 + 2493. Let g(i) = 101*i - 5. Let r(w) = -50*w + 3. Give l*r(c) + 3*g(c).\nAnswer: 53*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 - g. Let c(t) = 2*t**2 - 7*t + 1. Let w(y) = -c(y) + 3*j(y). Let l(z) be the first derivative of w(z). Find the first derivative of l(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = -12*z + 5*z. Let f be z\/(-1) - (-33400000 - -6). Round f to the nearest one million.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 31\/8 + -193\/56. Let x = 38 - 35. Suppose 2*s - 3 = 4*w + x, -6 = -5*w - 2*s. What is the closest to w in 4\/5, -0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 97 and 57966521?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 5 + 1. Suppose -4*a + 51 = -5*r, n*r = 5*a + 4*r - 105. Suppose 3*i + 39 = 3*x, -4*x - 4*i + 17 + a = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 638 and 5006647.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add -664889 and 0.2668742.\nAnswer: -664888.7331258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 36524 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 19, 4.\nAnswer: 0, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from subciscudbis. What is prob of sequence si?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 20 - 18. Let f be 8\/b*36\/48. Suppose -f*m - 20280012 = 4*h, -2*h - 2*m - 5881745 = 4258263. What is h rounded to the nearest one hundred thousand?\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + 10*z - 8*z - 24, -3*y = 2*z + 4. Sort -5, 1, y, 4 in descending order.\nAnswer: 4, 1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -215 - 2106*l**2 - 213 + 428 to x + t*l + s*l**2 and give s.\nAnswer: -2106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 54820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2838 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zmmmzzmmmzzzz. Give prob of sequence mzmz.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -3*l - 9. Let q(b) = 10*b + 26. Let s(h) = 14*m(h) + 4*q(h). Let p be s(-11). Factor p*o + 4\/3*o**3 + 0*o**2 + 0 - 22\/3*o**4 + 28\/3*o**5.\nAnswer: 2*o**3*(2*o - 1)*(7*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (35*m + 29*m + 8*m)*(-m - m + 4*m)*(-1 + 2 - 4) to the form d*m + g*m**2 + f and give g.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 621 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00156162293 rounded to four decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*o**4 - 3*o + 2*o**4 + 1 + 5*o**2 + 3*o - o to z*o**4 + y*o + h + i*o**3 + n*o**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of -2*y**2 - 2*y - 1. Let h be o(-2). Suppose 26*t - 378 = 17*t. What is the highest common divisor of t and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 - 6*f**2 + 9. Let u be i(-7). Let n = u - 26. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, a: 3, s: 2, d: 1, u: 10}. What is prob of sequence usdu?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*1*sqrt(1053) - sqrt(1053)) + -2 - (-4 + (sqrt(1053) - sqrt(1053)*2) - (4*-1*sqrt(1053) - sqrt(1053))))**2.\nAnswer: -108*sqrt(13) + 9481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - x - 4032 = -23*x. Calculate the smallest common multiple of x and 6.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in -3\/8, -5, -1\/4, 28.91?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-85)\/2 + 14\/28. Let y(o) = -o**3 + 2*o**2 + o - 1. Let r be y(2). Let c be (7\/f)\/(r\/(-8)). Is c <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -71, -4, -40.\nAnswer: -71, -40, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5469737326?\nAnswer: 2, 151, 18111713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1250?  (a) -0.2  (b) 1\/4  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -2 + -17 + -13 + 23 + -31 + 3?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 2 = 5*u, -3*u + a - 4 = 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 - 110010000?\nAnswer: -110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 37136*g - 42319 wrt g.\nAnswer: 37136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6.279 - 0.479. Let m = h + -7.2. Which is smaller: m or -0.33?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 25 + -21. Let t be (1 - 0)\/(0 + u\/52). Solve 2*n + o = -1, 4*n - 5*o - 20 - t = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (p**2 - 3*p**2 + 7 + p**2)*(-2*p + 2*p + p) in the form z*p**2 + j + l*p**3 + f*p and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of 174 and 0.4.\nAnswer: 69.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + 2 + -1 + -1. Suppose -4*y + 5*b = -p*y - 9, -y - 5*b - 3 = 0. Factor 3*g**2 - y*g**3 - 2*g**2 + 8*g**4 - 7*g**4.\nAnswer: g**2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-56)\/(-70))\/(4\/10). Suppose -82 = -f*s + 30. What is the greatest common factor of s and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.09 - -0.91. Let o = -0.61 + 0.41. Which is the closest to o?  (a) 5  (b) q  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 290699175 to the power of 1\/3, to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and ((6 - -14)\/5)\/((-1)\/(-3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**3 + 5*t**2 - 2*t - 4. Let c be -3 - -5 - (0 - 2). Let r be s(c). Solve r*f**2 + 2*f**2 + 12*f - 2*f - 18*f**3 + 2 = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39171 = -2648*v + 6209*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2495 or -37417\/15?\nAnswer: -37417\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (171\/12)\/19*(8\/570)\/((-100)\/(-1000)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -514 - -553.7. Let k = -39.69815 + z. Round k to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1.56792 less than -10\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*v = -5*w - 97, 18 = -30103*w + 30104*w + 2*v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -19*s + 29. Calculate the highest common factor of 94 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -2  (b) -1\/91  (c) 64.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -2*h + 19. Let u be v(7). Suppose -u*g - 18 = -3*d + 19, 2*d - g - 13 = 0. Suppose -d*y = y - 10. Put -2, 5, y in ascending order.\nAnswer: -2, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (48\/(-108))\/((-4)\/(-6)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= 1\/1141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 446\/3, 0.9, -4.\nAnswer: -4, 0.9, 446\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 24*p**3 + 119*p**2 - 62*p**2 + 2*p - 57*p**2 to c*p + i*p**2 + b*p**3 + a and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2994453 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 375941?\nAnswer: 2\/375941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -64735 - 505?\nAnswer: -65442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2\/11, -2, -3, 1\/3, 116622?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 - 10. Let y = t + 9. Suppose -2*n = 3*n - 320. Calculate the greatest common factor of n and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 66*u + 118 - 74 + 418 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 551 is divided by 106?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 148 + 38 = -w + 6*w - 5*u + 4*u, -2*u + 8 = 0 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 8  (b) -3\/4  (c) 4  (d) -25625\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -624*a + 315*a + 301*a. Let n(i) = -9*i. Give n(m(r)).\nAnswer: 72*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 2*z + d + 8, -3*d = 3*z + 30. Let y be (-2)\/3 - 124\/z. Solve 3*t = -8 + y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/4 - 121\/88*-4. Suppose 688 + 1577 = r*g - 5*c, -c = 2. What are the prime factors of g?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*w - 15*w = 275. Let c = -82 + w. Let y = 136 + -133. Put y, -5, 0, c in ascending order.\nAnswer: c, -5, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n + 12 = 3*n. Let q be ((-10)\/n)\/((-1)\/(-2)). Let b(k) = k**2 - 6*k + 7. Let l be b(q). Solve 2*z + l = -0*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-42)\/104 - 18\/(-117). What is the nearest to f in -1\/3, 0.3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -3*o - 5. Let h be m(-2). Suppose 0*c - h = -c. Let j(l) = 7*l + 1. What is j(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -290*z + 4*z**3 + 44*z**3 + 290*z.\nAnswer: 48*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of w**3*z - 3*w**3 - 8*w**2 - 2079*w*z**2 + 1395*w + z**2 + z wrt z?\nAnswer: w**3 - 4158*w*z + 2*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -656 in 1, -4, 1\/2, 3\/8, 58?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -2*h**3 - 37*h**2 + 9*h - 193. What is k(-19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 40055316839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -11*t. Let p(f) be the third derivative of f**5\/40 + 7*f**3\/6 + 2*f**2. Let i(l) be the first derivative of p(l). What is -12*i(o) - 3*z(o)?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 13) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100205*n + 38982*n - 286862*n - 284556*n.\nAnswer: -432231*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.29505224 to three decimal places.\nAnswer: -0.295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 4, -52\/3, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + 1. Let m be -1 + 0 - (-14 - q). Suppose 5*z - 5*f - 33 = 2, 5*f + 15 = 0. Solve 0 = z*n - n - m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3877 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -8*f**2 - 272*f. Give s(-34).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -472 - -472. Which is the closest to 1\/4?  (a) w  (b) -8  (c) 0.3  (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 - r**2 - r - 5. Let h be x(0). Suppose 3*w = -5*d + 34, -2*d = -2*w + d - 9. Let n = -2 - -2. Which is the closest to n?  (a) w  (b) -0.2  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*-30706358.7\nAnswer: 9211907.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 9*m**2 + m - 1. Let d = 2 + -3. Calculate the remainder when (1 + d - 0) + 20 is divided by k(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5564 and 4066.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-10)\/(-30))\/(1\/711) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 - -3. Let c be ((-2)\/g)\/((-4)\/32). Suppose 5*w = 2*v + 20, 0 = 2*w - w - c. Solve f = -v*f - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (11*80\/(-2200))\/(84\/(-15))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Round -0.0006352286 to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 304975092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1543\/6 - -258. Let v(o) = 0 + 2 - 5*o**2 + 4*o**2 - 3*o. Let a be v(-3). Is j >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (401860*m - 1414 - 803727*m + 401868*m)*(3*m - 3*m + 2*m**2) to the form i*m + u + f*m**3 + r*m**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 832 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 19?  (a) 0.1  (b) -1\/2  (c) 1\/27  (d) 16  (e) 0.3  (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55 = 50*d - 3 - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 + 9*d**2 - 12*d - 2. What are the prime factors of f(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -0*m + 4*m + 4*a, -4*a = -2*m. Suppose -16 = -m*r - 0*r. Suppose 22 = 3*c + r*c. Solve -c*k - 3 = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -4\/5, -1, 0.11, -5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**2 - 9*d - 1. Give g(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -7*i - 101. Give l(-10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 472, 1225, 2488, 4267, 6568, 9397, 12760, 16663?\n\"Answer: a**3 + 249*a**2 - a + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 t when three letters picked without replacement from {t: 3, z: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 5716*l = -5713*l + 12, -15 = 5*l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times -15439.51?\nAnswer: -61758.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -156717 - -0.05\nAnswer: -156716.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, d: 6, g: 3, s: 1, o: 6}. Give prob of sequence okd.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 12*d. Let g(m) = -13*m. Determine 3*g(k) + 4*u(k).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t, 1 o, and 1 u when four letters picked without replacement from {u: 1, d: 1, t: 2, p: 5, o: 1, h: 10}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 18 + 1 = 3*u, 5*j - 35 = 5*u. Suppose 4*c = -c + i + 36, 4*c - j*i = 30. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 871 + 305 = 8*n. Suppose 16*y - 21*y = -210. What is the greatest common divisor of n and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -154 + 1125?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -5*r**2 - 5 + 67*r - 64*r + 4*r**2. Let d(w) = -w + 1. Let b be d(-3). Determine p(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 90711457?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -1905153 at least -1905143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 940*j + 271*j**3 - 1010*j**3 + 124*j wrt j.\nAnswer: -4434*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-28 + 25)*(42817 - 1\/(-1)). Let x = 351454 + l. Round x to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11 by 10277559.\nAnswer: -11\/10277559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 0.2  (b) 4\/23  (c) 0.1  (d) 4  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 27583*q + 23592.\nAnswer: 27583","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j = 8, i + 0*j = 2*j - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 152066946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fsffsffaffffa. Give prob of sequence sa.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112)*-1 + -5)**2 + (-3 + 1*sqrt(7))**2*1.\nAnswer: 34*sqrt(7) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -2018*g - 594653 + 594653 - 1848*g as d*g + w and give d.\nAnswer: -3866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let u = 76.919 + 0.081. Let k = -76.9 + u. Which is the closest to -0.01?  (a) -3\/8  (b) -2\/19  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 23\/88 + -7\/11. What is the closest to 2 in o, -2\/5, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 178899804.\nAnswer: 178899804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 < 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10524 - 10007. Let z = m - -29438. Suppose 3*p + 9093 = -z. Round p to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1506 + -1510. Which is the closest to 0?  (a) k  (b) 2\/13  (c) 0.15  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17558?\nAnswer: 2, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -6*b**2 - 885*b - 9507. Give w(-11).\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 60\/8*((-36)\/(-20) - 1). Suppose s*q + 14 = -34. Calculate the common denominator of q and -39\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 4*l + 4*k, -2 = 5*l - 5*k + 13. Suppose -6*b - 9 = -3*b. Sort b, 4, -5, l.\nAnswer: -5, b, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 159b276 + -7?\nAnswer: 159b26c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -12324*d + 6234*d + 6474*d in the form i*d + s and give i.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**0)**(-3\/16)*(r**(-7)*r)\/r*r**7*(r*r**(1\/4)*r\/(r*r**(3\/5)\/r))\/(r**2\/r**(-1\/15)) assuming r is positive.\nAnswer: r**(-5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -486, -1959, -4410, -7839, -12246, -17631?\nAnswer: -23994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15*y + 0*y**3 + 20*y**2 + 3*y**3 + 100 - 112 + 25*y - 11*y.\nAnswer: (y + 3)*(y + 4)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -6*v**2 - 3*v + 12. Suppose 37*k - 6*k + 19*k = 11*k. What is f(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3083661871 to the nearest integer?\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/5*g**2 + 6\/5*g + 8\/5.\nAnswer: -2*(g - 4)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -18 or 20800?\nAnswer: 20800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 83 - (76 + -72 + 73)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -68\/4287 and 49\/34296.\nAnswer: 34296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/(-6) + (-48)\/(-9). Suppose w + 103 = 5*x, p*x - 2*w = 2*w + 76. Suppose -72 - x = -3*n. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58344847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 - 4256\/4) + 0. Let f = -548 - p. What is the highest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - 4. Let p = -7 - r. Let o be (-9)\/6*p - 2. Solve -f + o*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*d*p**4 + 14219037*d*p**3 - 7052*d*p**2 + 25*d + 201*p**2 wrt p?\nAnswer: -120*d*p + 85314222*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 - -518220?\nAnswer: 518219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -122028 + 244049 - 122021 - 154*q.\nAnswer: -154*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 23732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1160 + 132?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bsytycyctbyctttc. What is prob of sequence st?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -42011*z**3 - 168038*z**2 + 210079*z - 30.\nAnswer: -(z - 1)*(z + 5)*(42011*z - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the first derivative of v**4\/10 - 4*v**3\/15 + v**2\/5 - 139. What is x in n(x) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1003 (base 5) in base 15?\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = 3*d - 155. Let q = d + -16. Solve 3*v - i - q = 0, -3*i - 17 = -2*v - 0*i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 9, -2*k - 2*x + x - 1 = 0. Let r be -6*((-9)\/k)\/3. Let f = 16 + r. Calculate the highest common divisor of 14 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 4 - 5 - (-2 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -854, 0, -1\/3, -27802 in decreasing order.\nAnswer: 0.1, 0, -1\/3, -854, -27802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 17 + 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 184212481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 444636210 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k + 7. Let i(v) = 4*v - 13. Let d be i(4). Suppose d*c + 3*m + 51 = 7*c, 5*m - 20 = -5*c. Calculate o(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) -0.2  (c) 3\/5  (d) -35\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 38434252*b + 36494440?\nAnswer: 38434252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 296074470.\nAnswer: 2, 3, 5, 9869149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**2 - 92*t + 699. Calculate i(84).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*b - 6*u + 74, -1516*b - 2*u + 27 = -1513*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k. Let u(f) be the first derivative of -11*f**5\/60 - f**2\/2 + 2. Let s(v) be the second derivative of u(v). Determine h(s(x)).\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*d**4 + d**4 + d**4 + (-2*d + d - 6*d)*(15*d**3 - 346*d + 346*d).\nAnswer: -103*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -122010002 (base 3) to base 4.\nAnswer: -3002330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 606 + 171. Suppose 308 + k = 5*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 0*n**2 + 7*n**4 - 8*n**2 + 6*n**2 - 5*n**3 + n in the form k*n**2 + p*n + u + j*n**4 + v*n**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2808220*n**3 + 31*n**2 + 33912069*n + 3.\nAnswer: 16849320*n + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (23\/(-2))\/(135\/5310). Let l = 455 + a. Factor 2\/3*j**2 + l + 8\/3*j.\nAnswer: 2*(j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-21*32\/672)\/((-25)\/365))\/(1\/5)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1129 and -352?\nAnswer: -397408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-4))\/x**(6\/13)*x**(-7)*x**(-3\/11) assuming x is positive.\nAnswer: x**(-1535\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -15 divided by 442\nAnswer: -15\/442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 - 5. Let m = i - -4.1. Let y = 284 + -3122\/11. Which is the third biggest value?  (a) y  (b) m  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 164, 656, 1460, 2564, 3956, 5624, 7556?\n\"Answer: -2*r**3 + 168*r**2 + 2*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.032 + 0.468. Which is the biggest value?  (a) -4\/9  (b) -4  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 319985 is divided by 27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -3*s**2 - 3*s + 2. Let b be (-2)\/14 - 2059\/(-497). Let y(m) be the third derivative of -m**5\/30 - m**4\/12 + m**3\/3 + m**2. Determine b*y(n) - 3*v(n).\nAnswer: n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3, 16, 31, -2\/9, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o. Let a(w) = -2*w**3 + 16*w**2 + 14*w - 101. Let b be a(8). Let p(y) be the first derivative of -b + 36*y - 1\/2*y**2. What is p(j(x))?\nAnswer: -x + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve b**2\/7 - 1626*b\/7 = 0.\nAnswer: 0, 1626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**2 - 5*a + 13. Let b be s(-10). Let t = -37 - b. Let g(y) = -y**3 - y**2 + y + 76. List the prime factors of g(t).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -62 in 4, 37, 8, -3, -2\/5, 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 692 - 480. Suppose 2*n - 452 = z. Is (n\/10)\/((-13)\/(-65)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 49005\/6930*5*22\/(-165).\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wvvwwwwavwvwvwwvvwwv. Give prob of sequence wv.\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -421, -537, -95, 1427, 4551, 9799?\n\"Answer: 87*b**3 - 243*b**2 + 4*b - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 187 a factor of 381416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -101111011000100011001 (base 2) in base 11?\nAnswer: -9705a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 4 - 0. Suppose -o = g*o + 12. Put -3, o, -5 in increasing order.\nAnswer: -5, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 + (3 - 7) + 14\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 23147058 to the power of 1\/3, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -163, 4, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.5?  (a) 6  (b) 9\/11  (c) -2  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-3) - (-7)\/(-9). Let c = 1990.03 + -1990. Sort c, 2\/13, v, 1\/5.\nAnswer: v, c, 2\/13, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + 47 = 43 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2106\/693 - 3)*(-47)\/(-141).\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5*(1\/(-5) + 1). Suppose -3*s + h = -7*s. Let t = 10340\/221 - 798\/17. Sort s, t, -0.3, -2 in ascending order.\nAnswer: -2, s, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the first derivative of m**2 - 17. Let d(c) = -c - 14. What is d(r(p))?\nAnswer: -2*p - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 115971, 116075, 116179, 116283?\n\"Answer: 104*u + 115867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 3*v = -4535, 3*b - 3*v = 5*b - 1823. Suppose -3*q + b + 43 = -y, -2*q + 4*y + 648 = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 133536614.\nAnswer: 2, 66768307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24521, -49032, -73543, -98054?\nAnswer: -122565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = 25*j - 228 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -37 + 27. Let m(t) = -t**2 - 12*t - 16. Let v be m(q). Solve 0*w = v*w + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -4*f**2 + 227*f - 398. Give d(53).\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*b + 3252*b**2 + 9*b - 3214*b**2.\nAnswer: 38*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17 by -1333.\nAnswer: -17\/1333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 8*y**2 - 2*y - 1. Let m be s(2). Let f(u) = -u**2 + m*u**3 - 26*u**3 - 2 - 3*u**2 + u. Calculate the remainder when 6 is divided by f(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/n**(-10)*n)\/(n\/n**(-22\/5))*(n\/(n**(-26)\/n))**(-35) assuming n is positive.\nAnswer: n**(-4862\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + 1)\/(-14 - (-1251)\/18)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3612 divided by -6?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 154464 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -40260*k + 40275*k - 1470. Calculate the least common multiple of 2058 and k.\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1575441047?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -30*t + 13. Suppose -10*b = -16 - 10 - 14. Give q(b).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100 (base 2) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1046 a factor of 15060308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -4  (b) 2\/9  (c) -243  (d) 2\/5  (e) 0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, -178, 2 in ascending order.\nAnswer: -178, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 291 = -5*v + 6*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that -5*a**5 - 30*a**4 + 50*a**3 + 100*a**2 - 45*a - 70 = 0.\nAnswer: -7, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p. Let o be (4\/(-6))\/((-18)\/81). Suppose 2*m = -3*k + 25, 4*k + m - 35 = -2*m. Let j(y) = o*y - k*y + 6*y. Determine t(j(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 23357\/60 + -6478\/15. Let n = g + 317\/12. Find the common denominator of n and 32\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -370*s**4 - 2*s**3 + 116 + 369*s**4 - s**2 + 0*s - s to o + l*s**2 + q*s**4 + p*s**3 + t*s and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -5*h - 5. Suppose 5*b - 4*g - 208 = -35, h*b - 93 = -3*g. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 7*f - 1. Let m be l(4). Let q(x) = -x - 1. Let z be q(-7). Let k be z\/15 - (-176)\/10. What is the highest common divisor of m and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1))**(-8)*(f**(1\/4))**48*((f\/(f*f**(2\/3)))**(-43))**(3\/35) assuming f is positive.\nAnswer: f**(786\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 169484.9 kilograms to grams.\nAnswer: 169484900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -13 + 5*b**2 + 157*b - 221*b + 71*b in the form s*b**2 + v*b + u and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -48, -197, -448, -801, -1256, -1813, -2472?\nAnswer: -3233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**4 - 35618706*m**3 - 105724244570031*m**2 + 634346429125572*m - 951520124541132.\nAnswer: -3*(m - 3)**2*(m + 5936454)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the third derivative of -627*h**4\/4 + 3137*h**3\/6 + 1527*h**2. Find the first derivative of c(f) wrt f.\nAnswer: -3762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 4 = -0*y. Suppose 0 = y*x + 4*u + 8, 2*x + 0*u - 3*u = -24. What is the remainder when 47 is divided by 18 + 1 + x\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*k**2 - 7*k**2 - 132789 + 132789.\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7.9 - -5.6. Let y = 15 - z. Let b = 1.4 - y. Which is smaller: b or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u - 39. Suppose -5*w - 155 = -5*g, -3*g = 56*w - 53*w + 75. Determine j(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.366167 to one dp.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 238\/12 + (-9)\/(-54). Let w be (102\/5)\/(6\/c). What is the highest common divisor of w and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (157 - 166)*(-2)\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 4 + 2 = 0. Let k = n + 7. Suppose -q + 7 = k. What is the closest to -2\/5 in q, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-8) + 342\/792.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wzw when three letters picked without replacement from pzzwzpww.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 - (3 + ((1 - 4) + 0 - -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1787553 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve i = -3*l + 9, 7*l - 4*l = -3*i + 15 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the first derivative of -8\/3*k**3 + 0*k**2 - 5 - 2*k. Differentiate f(t) wrt t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -183 - -186. Let u(t) = 26 - 2*t**3 - m*t + 6*t**2 + t**3 - 29. Calculate u(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**3 + 8*l**2 + 8*l + 13. Let y be 3\/(-3 - (-30)\/9). Let f be h(y). Let v(j) = 2*j**2 - f*j**2 - 4*j**2. Let m(k) = 2*k. What is m(v(t))?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 332440309 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 o(y) = 21*y**2. Let w(l) = 87*l**2 + 2*l - 496. Determine w(o(r)).\nAnswer: 38367*r**4 + 42*r**2 - 496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -25  (c) -1.64  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-26)\/(-14) + -9 + 7. Let n = 60.1 - 65. Let h = -0.9 - n. What is the third biggest value in p, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000011000101000010111110 + 11?\nAnswer: -10000011000101000010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -37912, -75839, -113778, -151729, -189692, -227667, -265654?\n\"Answer: -6*v**2 - 37909*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.757966 centimeters to kilometers.\nAnswer: 0.00003757966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 24*q - 4. Let y(b) = -48*b + 7. Let g(v) = -7*h(v) - 4*y(v). Let p(l) = 4*l. What is g(p(u))?\nAnswer: 96*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.1494378 and 17.586?\nAnswer: 17.4365622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*v**4*z**3 - 4868*v**3 + 1917*v**2*z**2 + 3*v*z**3 wrt v?\nAnswer: -48*v*z**3 - 29208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -4*(-20)\/(-8)*-2. Suppose 0 = -7*a + s*a - 4992. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32327521+-6.6\nAnswer: -32327527.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are -6\/237809 and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 498, 2\/7 in decreasing order.\nAnswer: 498, 2\/7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -5*n + 1052. Suppose -3 = 3*z - 0, 4*v + 5*z - n = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -137, -275, -413, -551, -689?\nAnswer: -827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**2 - y. Let p(g) = g**3 + 7*g - 3. Let x(h) = p(h) + 3*u(h). Does 6 divide x(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/10)\/((-1)\/6*3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/34 and 3 - (-17340)\/24*(-4)\/660.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2264\/13 + -174. Put 2, -1.1, b in decreasing order.\nAnswer: 2, b, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -4, -10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15020093 and 3267.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 463932 to the power of 1\/2, to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 + 3*j**2 + 4*j - 7. Let c be p(5). Let i = 19 + c. Round i to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*l**2 - 3*l**2 - 2*l**2 + 673 + 3*l - 673 - 2*l**2 + (l - 1 + 1)*(2*l - 2 + 2) + 0*l + 19*l**2 + 0*l.\nAnswer: 14*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -26, -19, 8, 67, 170?\n\"Answer: 2*w**3 - 2*w**2 - w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*m**2 + 55*m + 8 wrt m.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -52730.\nAnswer: -1\/26365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -9*k + 1. Let x(i) = 10*i - 2. Calculate 3*g(d) + 2*x(d).\nAnswer: -7*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkv when three letters picked without replacement from {b: 2, v: 4, k: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 46\/(-42))\/(648\/486) + (-156)\/2968?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6112983?\nAnswer: 3, 31, 65731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/20)\/((-6)\/(-261)). Let n be 5*(-6)\/(-10) + (-7)\/(-4). Let h = q - n. Which is smaller: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -d + 4*w - 5, w + 1062 - 1072 = 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put together -260 and 2804.98.\nAnswer: 2544.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*t - 716 = -596 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 33387 + -33400. Let i(w) = 33*w**2 - 4*w - 9. Let r(f) = -16*f**2 + 2*f + 4. Determine x*r(u) - 6*i(u).\nAnswer: 10*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 4*m + 2. Is i(4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 39180*h**2*r**3 - 20*h**2*r + h**2 - 102*h*r**3 + 27604*h - 2*r**2 + 2 wrt r.\nAnswer: 235080*h**2*r - 612*h*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 90, -5, 1, 8.\nAnswer: -5, 1, 8, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -24*n**2 - 8*n - 10. Let c be v(-8). Let t = -5971\/4 - -1501. Find the common denominator of (-1)\/(-3) + c\/72 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 3 v when four letters picked without replacement from {v: 5, j: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*x - 9*x + 115 = 0. Solve 0 = -2*s + 4*a + 4, 4*s = x*s - 4*a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -105*f**3 - 17*f**2 - 41*f - 7. What are the prime factors of v(-3)?\nAnswer: 2, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 554.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and -1310736.\nAnswer: 131073.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2021001220111 + 0?\nAnswer: 2021001220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11*(-6)\/4158)\/(140\/1260)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jiggiiggfegfexgggg. Give prob of sequence egfi.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47 = -19*t + 4*x, -3355241*t - x + 32 = -3355237*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -66 - 2?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-7\/6)\/f*f*f**(-1\/3))**(20\/11) assuming f is positive.\nAnswer: f**(-30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 1 a when three letters picked without replacement from mmjjasmasjaajmjaaaa?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 = -17*h + 51*h. Solve 3 = -h*z + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -32 - -351\/11. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*f + 18*f = 1104. Suppose -5 = -u, -h - u = 2*u - f. Which is bigger: 263 or h?\nAnswer: 263","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -2734, -2\/5, 0.1 in descending order.\nAnswer: 0.1, -0.1, -2\/5, -2734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 48274*m**5 + 182*m**4 - 38454698*m.\nAnswer: 965480*m**3 + 2184*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 4386196*-0.9\nAnswer: -3947576.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 345 + 22?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 612*t = -5*u + 607*t - 45, -4*t - 21 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 5*x**2 + 3*x + 3. Let i(o) = 11*o**2 + 7*o + 7. Let y(h) = -3*i(h) + 7*p(h). Let c = 1841 + -1201. Let a(d) = 643*d + c*d - 1272*d. Give y(a(k)).\nAnswer: 242*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 - -3a6?\nAnswer: 3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the third derivative of -t**5\/60 + 5*t**4\/24 - 2*t**3\/3 + 710*t**2. Factor o(l).\nAnswer: -(l - 4)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6642149.\nAnswer: 6642149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 39706 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 54090 and 26720460.\nAnswer: 26720460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 238 = -a - n, -2*a - 4*n - 516 = 0. Are -251 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**3 + 6*a**2 + 9*a - 10. Let t(r) = -r**3 - 6*r**2 - 2*r - 5. Let z be t(-6). Calculate j(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/((-12)\/(-8) + -1). Solve j = -0*j - x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 90, -5, 12 in decreasing order.\nAnswer: 90, 12, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:54 AM and 8:41 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/3)\/((-4)\/18). Suppose -2950004 = -5*l - 4*p, 5*l = -s*p + 2*p + 2950001. Round l to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -112739600 to the nearest one hundred thousand.\nAnswer: -112700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1  (b) -229  (c) -0.4  (d) 0.2  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of (45 - 4) + -3 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8820 and 66360.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = p - 21. Suppose p*v - 6 = 12*v. Suppose -664 = -v*d + 1439. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 660986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -2*h. Let a = 31 - 18. Suppose 2*c + 3 - a = 0. Suppose 3 = -2*f - c. Let j(i) = -3*i. Determine f*v(z) + 3*j(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2103.\nAnswer: 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p**2 - 2*p**2 + 0*p**2 + 66*p**3.\nAnswer: 66*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**3 + 23*n**2 + 18*n - 13. Let g be i(-22). Let f = g + 105. Suppose -4*c + 142 + f = 2*u, 3*u = -4*c + 483. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i + 8 - 22. Let n(h) = 3 - 5*h - 3 + i*h. Let z(r) = 5 - 5 + 7*r. Give z(n(f)).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*h**3 + 45*h + 38*h + 32*h + h**3 - 21*h**4 - 106*h - 1 to i*h**4 + v*h**2 + l*h + z*h**3 + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -58\/1845 and -63\/82.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-1))\/((-3)\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the first derivative of -7*r**4\/2 - 14*r + 38. Differentiate i(j) wrt j.\nAnswer: -42*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * 4.06.\nAnswer: -16.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -12*m**3 - 229*m**2 + 99*m + 8. Determine v(-20).\nAnswer: 2428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.231 + -0.231. Put g, 3, 0.26, 3\/8 in increasing order.\nAnswer: g, 0.26, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 4*g - l - 29, -4 = -4*g + 4*l. What is the third derivative of c**2 + 3*c**2 - 2*c**2 - 5*c**g - c**2 wrt c?\nAnswer: -600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(105)\/sqrt(3))\/(sqrt(7) + -2*sqrt(1008))*5*-6*5.\nAnswer: -300*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the third derivative of 41\/120*a**6 - a**2 + 17\/60*a**5 - 1\/3*a**3 + 0 - 5\/24*a**4 + 1\/10*a**7 + 0*a. Factor g(p).\nAnswer: (p + 1)**2*(3*p - 1)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - 1550\nAnswer: -1545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the second derivative of 0*z**4 + 0 + 0*z**2 + 13\/3*z**3 + 0*z**6 + 0*z**5 - 13\/21*z**7 + 24*z. What is the second derivative of i(k) wrt k?\nAnswer: -520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 3*u**3 + 14*u**2 - 7*u + 2. Calculate l(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/1*(8\/(-90))\/((-36)\/90)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4218463 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16073*p = 381883 - 1458774 for p.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*r + 10*r + r - 30*r to the form c*r + u and give c.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -101210 + 1002020220102?\nAnswer: 1002020111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4371033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11697 - -11695. What is the closest to 24\/17 in w, 0.2, 0, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -122*i**3*j*l + i**3*l - 2*i**2*j*l - 72*i**2*l - 2 wrt j?\nAnswer: -122*i**3*l - 2*i**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7911.88 decades to months.\nAnswer: 949425.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 1026*s - 1030*s = 39, 0 = -h + 4*s + 33 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 - 312260\/(-91)) + (-4)\/(-7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -3*u - 42. Let n(b) = -2*b - 45. Determine -3*d(x) + 4*n(x).\nAnswer: x - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t**2\/17 - 8328*t + 147380616 = 0 for t.\nAnswer: 35394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 38195088 a multiple of 2386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z = -3*b + 1, -5*z - 6*b + 27 = -5*b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99321685.\nAnswer: 5, 401, 49537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/(-6))\/((-1415)\/(-1698))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 143 = 16*i - 1. Find the third derivative of 5*j + 16*j**2 + 3*j**2 - 6*j - 61*j**4 + i*j**2 wrt j.\nAnswer: -1464*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3\/112 - 31\/112. Which is the nearest to 0.2?  (a) k  (b) 0  (c) -0.6  (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, p: 1, a: 1}. What is prob of picking 1 p and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (126\/336)\/(3\/16). Suppose b = -5*v + 64, 3*v - 52 = -6*b + o*b. Let x(j) = -j + 1. Let n be x(-2). Solve -r + n = -3*w, v = 4*r + 2*w - 3*w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*o**3 + o**3 - 7*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 2*m**2 - 12*m + 18. Let u be g(2). Let o = -0.5 + 4.5. Let x = o - -6. Which is the third biggest value?  (a) u  (b) -0.4  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -48827*p**6 - 2*p**3*y**2 - 20*p**2*y**2 + 980*p*y**2 - 2*p*y - y wrt p.\nAnswer: -5859240*p**3 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (29\/2)\/((-92)\/(-184)). Solve -129 = -20*f - b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25629292081729+3\nAnswer: 25629292081732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wiwiwwrq. Give prob of picking 4 w.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 306\/85 + 4\/10. Solve -4 + i = 16*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.4 - -0.2. Let b be 4\/(-3)*4*6\/8. What is the nearest to 0 in -10, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the third derivative of m**5\/30 - m**4\/3 + 4*m**3\/3 + 55*m**2. Suppose w(b) = 0. Calculate b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 + -5. Let r = -5 + x. Which is the biggest value?  (a) r  (b) -9  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 2*v**3 + 8*v**2 - 2*v + 2. Let y(w) = -w**2. Calculate -o(t) - 8*y(t).\nAnswer: -2*t**3 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/3  (b) -7\/2  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the first derivative of -11 + 1\/2*z**4 + z - 5\/4*z**2 + 1\/12*z**6 - 2\/5*z**5 + 1\/3*z**3. Find q, given that c(q) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 266318388 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 16*p - 4. Let y be b(0). Let n be ((-192)\/(-40) + y)*30\/4. Solve 4 = -r + n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 3*b = -6 + 17, -4*b = -5*f. What are the prime factors of f*(-1)\/4*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 104650751, 104650750, 104650749, 104650748, 104650747, 104650746?\n\"Answer: -k + 104650752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 3*l + l + 6 = 0, 0 = -5*j - 4*l - 30. Let g = -3 - j. Suppose g*r - r = 28. Calculate the remainder when r is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q = -4*h - 15 - 13, -3*h = -3*q - 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 30*f = 18*f - 552 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 312523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -46112 divided by -5764?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -3\/7  (b) -0.3  (c) 34  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(128)\/sqrt(4)*3*-2)**2 + ((sqrt(90)\/sqrt(5) + sqrt(18))*3)\/(-4*sqrt(324)).\nAnswer: -385*sqrt(2)\/4 + 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uwu when three letters picked without replacement from unhhtwhuneew.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -3*h**3 - 137*h**2 + 1001*h + 407. Give m(-52).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28\/(-4) - (10 - 7 - 1)*2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 + 5*n**2 + 16*n + 4. Let m be s(7). Suppose -28*y + 37*y - m = 0. Solve 2*f - y*k - k = 22, -5*k - 20 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -720*u + 744*u - 249696 = 0. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4396 - 4393. Solve -11*d + 9*d = -j + 3, -7 = x*d - 4*j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 544 - (-4 - -5 - 0). Let w = o + 20. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9)\/(-12) + 2\/8. Suppose -a - 11 = b. Let i = a + 7. Let k(o) = o + 7. Let n(s) = s + 6. What is i*n(f) + 4*k(f)?\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 AM and 11:43 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 179424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*i**(-1))**(-33)\/(i**(-1\/2)\/(i\/(i**(-3)*i))) assuming i is positive.\nAnswer: i**(-59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/2 + (-28)\/(-8). Suppose -c*y = -36 - 21. Suppose y = 4*m - 9. Solve -m*g + 3*g - 20 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1104 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y**4 - 4*y**2 + 4*y**2)*(-3 + 1 + 2*y - 1).\nAnswer: -2*y**5 + 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (523 - 265 - 203)*(3 - 6*x - 3).\nAnswer: -330*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 - 3. Let m(r) be the third derivative of -r**5\/120 + r**4\/8 - r**3\/6 + 13*r**2. Let y(l) be the first derivative of m(l). Give y(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 288715244.9 rounded to the nearest one hundred thousand?\nAnswer: 288700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -2*l**3 + 39*l**2 + 4*l - 4. Let d(s) = 4*s**3 - 79*s**2 - 9*s + 9. Suppose 125*w - 277 + 418 = -359. Give w*d(t) - 9*q(t).\nAnswer: 2*t**3 - 35*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = w - 50, 0 = -3*q - 1 + 13. Suppose w = -30*z + 32*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 712621037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5039209091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are -3\/4 and 3100789.6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 3, 1, 7, 4 in decreasing order.\nAnswer: 7, 4, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**3 + 7*a**2 + 4*a - 1. Let w be l(-6). Suppose -w*d + 525 = -8*d. Is d a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11 + -1. Suppose n = -k + 3*k. Solve -4*q - k - 3 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 2 c when four letters picked without replacement from cbbbcuububbu?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1327993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -38570, -38704, -38838, -38972, -39106?\n\"Answer: -134*u - 38436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15826.\nAnswer: 2, 41, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 13 = 3*g, -76*g + 5 = -81*g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7040790 a multiple of 1465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/3)\/(((-6)\/(-4))\/(5\/10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 - 8\/(-2968)*4837?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -6.8  (b) 33  (c) 2  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24011, -51, 1, -4, 5, 3 in increasing order.\nAnswer: -51, -4, 1, 3, 5, 24011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 426463.\nAnswer: 347, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1200)\/180)\/(4\/(-9)). Solve -2*v + z = -5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -188076, -752251, -1692530, -3008913, -4701400, -6769991, -9214686?\n\"Answer: -188052*j**2 - 19*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -277427.0986 rounded to the nearest 1000?\nAnswer: -277000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uunu when four letters picked without replacement from uuuunnuunuu.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.695059kg to milligrams.\nAnswer: 5695059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 228 = -4*v, 3*v + v + 5*h = 220. Solve -v = -2*s + 14*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -203 + 137. Let j be 0 + 4 + 417\/(-6). Let a = h - j. Sort -0.09, -1\/4, a in ascending order.\nAnswer: a, -1\/4, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1087432 + -47.46?\nAnswer: 1087384.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 98749 is divided by 3405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -3*f**2 + 6 - 2*f**2 + 4*f**2 - 7*f. Let r be n(-8). Let v = -1 - -4. What is the closest to r in -3, v, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 2*a**2. Let y(z) = -343*z. Give f(y(u)).\nAnswer: 235298*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-four fifths of a millisecond in microseconds?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7308.263um in kilometers?\nAnswer: 0.000007308263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -38 divided by -1170336\nAnswer: 19\/585168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 27\/5 of a microsecond?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3645, 14599, 32855, 58413, 91273?\nAnswer: 131435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the third derivative of l**6\/120 - l**5\/20 + l**4\/6 - 2*l**2. Let w(z) = -3*z - 3. Let k be w(-2). List the prime factors of b(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 + -1 - 62\/(-2). Differentiate -3*b**3 - a + 11 + 13 with respect to b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1703.8936 - 1596.89403. Let t = 107 - f. Round t to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 259 = 4*f + u, 5*f - 2*u = 2*f + 197. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**2 + 12*j + 6. Determine s(6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8404.073 litres to millilitres.\nAnswer: 8404073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 30404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 261 + 1?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 28288536581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 434025?\nAnswer: 3, 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 25 = -2*b, 1457*b - 14 = 1461*b - 2*z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 62109.32s?\nAnswer: 62109320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 60 and 357810?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.56841450603 and 7.\nAnswer: 6.43158549397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 + 10*p**2 - 11*p + 18. List the prime factors of m(8).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*y**3 - 3*y**3 + 4*y**2 - 4*y**2.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((16 - 6)\/80)\/(2\/8). Solve -1\/2*h**3 - 1\/2 + 1\/2*h**2 + r*h = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/(-12) - -1*49\/28. Solve 2*i - 2*x + f = -5*x, 4*x = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 350 and 5530?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 3 = 0, 5*g - 6 = 5*x + 4. Let v(i) = -10*i - 132. Let w(r) = -4*r - 48. Let h(k) = -4*v(k) + 11*w(k). What is h(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30301113 (base 4) in base 3?\nAnswer: -2122202110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14, -63, -210, -503, -990, -1719, -2738, -4095?\nAnswer: -5838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:09 AM and 8:43 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 484 is divided by 253.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**3 - w**2 + 5*w + 2. Let u = 9 - 6. Let a = u - 3. Suppose 3 = -p - a. Determine l(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -13537, -13543, -13549?\n\"Answer: -6*m - 13531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -240*m**3 + 310*m + 1.\nAnswer: -1440*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of m**8\/144 + 19*m**7\/630 + m**6\/24 + m**5\/180 - m**4\/36 + m**2\/2 + 2. Let h(q) be the second derivative of k(q). Factor h(p).\nAnswer: p*(p + 1)**3*(7*p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3*(39\/9 + -2). Find the common denominator of (1407\/18)\/r - 1 and 95\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 - 8 + 3 + 119*w in the form g + i*w and give i.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 0.4, -2, 5\/16?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 + -12. Let h(d) = d**2 + 5*d + 4. Let n be h(s). Let z = 2 - n. Which is bigger: -2\/7 or z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3588577 and 0.4.\nAnswer: 1435430.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4282978 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -35 + 31. Which is the closest to -1?  (a) -2  (b) 4  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 4*h - 1724, 3*b + 872 = 2*h - 2*b. Let y = h + -373. What is the highest common divisor of 53 and y?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*v - 8*v + 38*v - 2*v in the form q + u*v and give u.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 17330 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3601102 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1133406 and 20385.\nAnswer: 5667030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrremriereeieeecrr?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - 1 - ((-32 - -81) + -37).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.2, 35, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 316143*u**2 - 158257*u**2 - 158271*u**2.\nAnswer: -385*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(171))**2 + -4).\nAnswer: -835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1553110 divided by -310622?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h + 3*h - 2*h + 5 - 5 + h + (-1 - 4 + 4)*(0 + 2*h + 0) + 1 - 1 - h - 2 + 2 - 2*h + h + 3*h - 2*h + 3*h + 0*h - 2*h)*(-5*h**4 - h**4 - 4*h**4).\nAnswer: -20*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -4703, -4746, -4793, -4844, -4899, -4958?\n\"Answer: -2*y**2 - 37*y - 4664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the first derivative of -2*z**3\/3 - z**2 + z - 7. Calculate i(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-483)\/165*(-7)\/3. Let r = 2403\/10 + -1397\/6. Let l = r - v. What is the common denominator of -67\/8 and l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-80)\/14 + (-4)\/14. Let j be h\/(-21) - 10\/(-14). Let u be j + (0 - 1)*-2. Solve 0 = u*x - 0*x - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -811861, -1623735, -2435607, -3247471, -4059321?\nAnswer: -4871151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-40)\/16 - (-6)\/4)*-3. Suppose -g*m + 289 = -26. What is the highest common divisor of 42 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.17949201 rounded to four decimal places?\nAnswer: -0.1795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 2.708253 months?\nAnswer: 0.00022568775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 24687647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -11. Solve 2*y + u*i - 8 = 13, 4*y = -4*i + 24 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*m - 2*m + 2*m + (-8*m + 14*m - 5*m)*(-176 - 182 + 370))*(3*m**3 - 3*m**3 - 2*m**3) to x*m**2 + b*m + p + v*m**3 + a*m**4 and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 13, 24, 25, 10, -27, -92, -191?\n\"Answer: -y**3 + y**2 + 15*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - -9089?\nAnswer: 9085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**3 - 43*w**2 + 751*w - 2664. Calculate l(-57).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 50, -2, -5\/2, -0.22 in ascending order.\nAnswer: -5\/2, -2, -0.22, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 3:50 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(432) + -5) - ((sqrt(36) + (sqrt(36) - (sqrt(36) - (sqrt(180)\/sqrt(5) - sqrt(36)))) + sqrt(36))\/sqrt(12) - (-1 + sqrt(243) - sqrt(243)))**2.\nAnswer: -28 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**1\/g)\/(g*g**(1\/4)\/g))\/(g**(-3\/7)\/g*g**1))\/((g**(-3\/4)*((g\/g**(-6))\/g*g)\/g)\/(g**1)**14) assuming g is positive.\nAnswer: g**(125\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -101110110100110 (base 2) in base 13?\nAnswer: -abb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2921479 and 11517.\nAnswer: 3839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-163 - -17)*(-1)\/2. Let p = 175 - r. 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 -1 + (-3 - 0) + 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**3\/4 + 121*r**2 - 483*r\/4.\nAnswer: -r*(r - 483)*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 152269975 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 0.06  (c) 4  (d) -89  (e) -0.7  (f) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h and 1 o when four letters picked without replacement from hhhohohhoohhhh?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 104*l**2 - 213*l + 183. List the prime factors of j(21).\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 - (-2)\/4*-2. Let t(l) = 7 - 2*l + f*l + 4*l. Let m be ((-18)\/(-8) - 1)*-4. Calculate t(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16*v**2 + 20*v - 15*v + 38*v**2 + 14*v wrt v.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2 + 2 + 3 - (-2960 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -3*n**2 - 25*n + 18. Let g be c(-9). Sort g, -5, -17 in descending order.\nAnswer: g, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*k**3 + 11757*k**2\/5 + 268956*k\/5 - 40608\/5 = 0. Calculate k.\nAnswer: -564, -24, 3\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1958454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in fifty-four fifths of a tonne?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 13351 = q, -2062 = -2*s - 2*q + 6844. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5115825 by -75.\nAnswer: -68211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -3*j + 6. Let l(n) = -1. Let a = 326 + -317. What is a*l(p) + w(p)?\nAnswer: -3*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -7*(495\/(-63) - -8). Put 91, u, -3, -4 in descending order.\nAnswer: 91, u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/6  (b) 1\/4  (c) -9\/2639\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 - 2*n)*(-940*n**2 + n + 910*n**2 - 2*n).\nAnswer: 60*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-380*j - 380*j - 507*j)*(5*j**2 + j**2 - 2*j**2)*(-1 + 2 - 3).\nAnswer: 10136*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1711231?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -2*z**2 + 2*z + 1. Let q(y) = 11*y**2 - 13*y - 1. Determine -6*f(b) - q(b).\nAnswer: b**2 + b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -14213220 + -2?\nAnswer: -14213222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + 3*m - 2*m + 5563, 5*w = 2*m + 9273. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.6?  (a) 117  (b) -2  (c) -742\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39578 is divided by 7826.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 3\/17122 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -75, -78, -85, -96?\n\"Answer: -2*k**2 + 3*k - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*a - 4 = 12*a. Suppose 0*x + 4*x = -2*j + 322, -x = -a*j - 88. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -24 times 0.2\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -4*q + 120, -67 = 2*g + 3*q + 46. Let v = 81 + g. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000298 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the first derivative of -l**5\/120 - 13*l**4\/24 + 35*l**3 - l + 105. Let o(p) be the third derivative of w(p). What is o(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 164*m**3 + m**2 + m + 1. Let w be g(2). Let l = w + -17183\/13. Let j = -1581\/11 + 142. What is the common denominator of l and j?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000021182 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**4\/5 + 1279074*g**3\/5 + 409002458041*g**2\/5 - 3272081060136*g\/5 + 6544203050896\/5.\nAnswer: (g - 4)**2*(g + 639541)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2725 a factor of 549406325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108) + -1 + -2 - sqrt(108)) + (((sqrt(108)\/sqrt(2) + sqrt(54))\/sqrt(2) + sqrt(27) - sqrt(27))\/sqrt(9))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -186, -48, 174, 480, 870, 1344?\nAnswer: 1902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 3*v - 26 = 0, 2*b - v - v = 30. Let d = -12 + b. Let c(p) be the first derivative of -p**2\/2 + 3*p - 1128. Determine c(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q + 22 - 30. Let x = 6 + q. What is the smallest common multiple of 34 and x?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.13 and -22883764793.\nAnswer: -22883764793.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 200000201 (base 3) in base 10?\nAnswer: 13141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - -47d?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v*v**(-6)*v*v*v\/(v\/(v*v\/(v**(6\/7)*v))*v)*v*(v**(-6)*v)\/(v*v*v\/(v\/((v*v**(3\/7))\/v))) assuming v is positive.\nAnswer: v**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 755744907 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -9 + a + a + 3. Let v be g(5). Solve -v*q - 14 - 6 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 - 50*p**2 - 103*p - 18. Give v(52).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 5.207341+373.12\nAnswer: 378.327341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 170\/45 + 2\/9. Suppose -4*i - 12 = -4*h, 3*h - 2 = l*i + 8. Let k(p) = -h*p + p + 0*p - 4. Give k(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -1 = -2958719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4904 - -4906. What is the greatest common divisor of 79 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0017557533 rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -608*c + 225. List the prime factors of n(-4).\nAnswer: 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30688548 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the third derivative of x**8\/336 - 3*x**7\/70 + x**6\/4 - 23*x**5\/30 + 11*x**4\/8 - 3*x**3\/2 - 7*x**2 - 11*x. Factor k(z).\nAnswer: (z - 3)**2*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3\/(-2))\/(2\/(-4)). Suppose -u*l + 40 = 2*l. Let b = 16 - l. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -15993 at most -47981\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4.53 and -1323296257.\nAnswer: -1323296261.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 527 a factor of 5396480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110 + 11?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6.603 + -33.592. Let f = h + -0.011. Let a = f + 25. Which is bigger: 4 or a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 73.4 and 0.2.\nAnswer: 14.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 502254 + -1?\nAnswer: 502253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-6 + -8 - -2) + (-90 - 41\/(369\/36))\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7975783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 844.74 to the nearest 10.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes after 12:31 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + (-2)\/(-4)*4. Let g(d) = 6*d - 2. Let x be g(u). Suppose 3*a = 2*q - 21, 0 = x*q + a - 40 - 9. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -750, -1400, -1776, -1740, -1154, 120, 2220, 5284?\n\"Answer: 23*n**3 - n**2 - 808*n + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-2)*(45\/(-10) - -4). What is the remainder when (-485)\/10*(-3 - w) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44683716?\nAnswer: 2, 3, 7, 11, 37, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2*p**2 - 2*p - 8. Let g be s(-2). Suppose 108 = 4*u - 4*x - 156, 2*u = g*x + 138. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 72 and 18176594.\nAnswer: 654357384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1363 - 1358 - 101*h + 2729 to the form p*h + w and give p.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 703344837 + 0?\nAnswer: 703344837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71*r**2 - 67*r**2 + 141*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70*a + 35*a - 21*a - 4 + 0.\nAnswer: 84*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 31\/2 of a kilogram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66144?\nAnswer: 2, 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4101 + -2255. Suppose 5*d - 863 = -2*c + 64, 4*c + 2*d - x = 0. Let t = -91 + c. What is t rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 6*m + 2. Suppose -5 = 3*t + 4. Let h(d) = -2 - 4*d - 5*d + 4*d. Calculate t*x(f) - 4*h(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/((-3)\/4 + 1). Let s = z + 9. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -10193620 to the nearest one thousand.\nAnswer: -10194000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes before 4:31 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1 * 25376\nAnswer: 25376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -2*w + 11. Suppose i - i + i = 0. Suppose i = -59*y + 61*y - 16. Determine q(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -748*v**5 + 0*v + 3 - 17*v - 29*v - 18*v + 11*v wrt v?\nAnswer: -14960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -5*y - 12. Let v be s(-8). Let a be (-8)\/v - (-720)\/21. Let x = -5695 + 5730. Are x and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 298321*r**2 - 30509.\nAnswer: 596642*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 7 + y**3 + 12 - 1 + 2*y + 13*y**2. Let w be d(-13). Is (66\/(-12) + w)\/((-6)\/8) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*k - 2*j = 49*k, 3*k + 2*j = -15. Suppose -5*p = -10, n + 5*p = 12 + 72. Put 3, n, k in descending order.\nAnswer: n, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1261972986.50000053 + 1261972981. Let j = -5.5 - r. What is j rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -598093*b. Let z(v) = 1283*v. Determine y(z(i)).\nAnswer: -767353319*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 - (16 + (-17 - 7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 + (-12 - (16 + -2 + -63))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17.51*-13.86.\nAnswer: -242.6886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 5, h: 1, v: 3, z: 2, f: 1}. Give prob of sequence hifv.\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ktj when three letters picked without replacement from xxtxjjxdkxjtkjx?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 13, u: 6}. Give prob of picking 2 u and 1 l.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 38 - 84 + 44 + h in the form q + c*h and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30 and 347283.\nAnswer: 3472830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 + 2*j**2 + 3*j - 2. Let w be s(3). What are the prime factors of 8*-3*w\/4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 87866.79 decades to years.\nAnswer: 878667.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1939669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and 30.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*i - 1490 + 715 = 1511. Solve 130*c = i*c - 9, t = 5*c + 13 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.25199556 rounded to two dps?\nAnswer: 5.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 298283?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1646, 6672, 15048, 26774, 41850, 60276?\nAnswer: 82052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 40123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 + 2*j - 1. Let m be w(2). Let p be 1\/m*(-4 - -5). Let d be 4 - (-2 + (p - -1)). Solve -r + d*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 776 and 2176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -769*j - 4611. Calculate a(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2448) - sqrt(2448)*-3*4) + sqrt(2448)*-4*1)*-2 + 4.\nAnswer: -216*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -524 - -540. What is the remainder when (-5)\/(10\/(-96)) + -2 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.5 - -3.6. Let m = h + -0.1. Put m, -2\/5, 4 in descending order.\nAnswer: 4, m, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11, 25, 37, 47, 55, 61?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9016472*m**3*x**2 + 11*m**3*x - 1005*m**2 + 2*m*x**2 - x**2 + 2531 wrt x?\nAnswer: -18032944*m**3 + 4*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c + 1076*i - 1082*i = 50, i = -6*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12204.4632 - -12209. Let k = 0.1068 - t. What is k rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-38)\/18 - (-94)\/94 - (-152)\/114.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6639814.\nAnswer: 2, 127, 26141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ifuug. What is prob of sequence fu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12668106 and 48369132.\nAnswer: 532060452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - ((19 - 42) + 51).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 94*a**2*s**2 - 4*a*s**3 + s**3 - 56*s with respect to a.\nAnswer: 188*a*s**2 - 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2\/2 - 4*x - 10.\nAnswer: (x - 10)*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 63 - 63 - 7*l**3 - 3*l**3 + 0*l**3 + 2*l**3 + (0*l + 2*l + 0*l)*(-l**2 - 2*l**2 + 2*l**2).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5100 and 910200?\nAnswer: 15473400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -93 in 2, -3, 0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -15*z - 4. Suppose -k + 3918 = 4*u, -2*u + 5*k - 2*k + 1952 = z. What are the prime factors of u?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (103 + 43 + 9)*(-43*d - 18*d**2 + 43*d).\nAnswer: -2790*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45\/(-12)*(-1)\/(-18)*(-124)\/31.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 487*b**2 + 53*b - 55. Calculate h(1).\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -524*k**2 + 521*k**2 + 3 - 3.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 2 = -2*y. Let q = 2 - 0. Let j(m) = -8*m**y - 8*m**q + 11*m**2. Let s(k) = 2*k**2. Calculate j(s(o)).\nAnswer: -20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 6*i + 9. Give r(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/3  (b) 2\/31  (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 3*n = 14, 4*n + 4 + 16 = 2*h. Suppose 0 = 2*g + h*g - 1556. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57567 (base 8) in base 5?\nAnswer: 1240224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 305  (b) 2\/3  (c) -39.44  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**3 - 6*c**2 - 3*c + 11. Let z be a(-5). Let m be (z*-6)\/((-21)\/392). What is the units digit of 3\/(-9) - m\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty-three thirds of a minute?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 2*p - 4*p + 3368, 2*g = -p + 3373. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = 2*t + 4*t - 96924, 5*a - 16126 = -t. What are the prime factors of t?\nAnswer: 2, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 12  (b) -1  (c) -11301\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 - 49\/(-14) - -8. Find w, given that -15\/2*w + 3 - t*w**2 = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + -7. What are the prime factors of ((-10)\/(-4))\/((-1)\/w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 194*b + 193*b = 11, -w = -5*b - 31 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21003 + -11?\nAnswer: -21020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17314592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 131436 divided by 27\nAnswer: 4868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 26 divided by -16102\nAnswer: -13\/8051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 6 = q, 4*g = q - 0*q + 12. Suppose q = 4*s + 14 + 6. Let k(z) be the first derivative of -z**4\/4 - 4*z**3\/3 + 5*z**2\/2 + 2*z - 1. What is k(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1348281175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6148)\/(-15370))\/((-2)\/230).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2094123238 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15943 and 35909?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2*v + 0 + 3)*(138 + 170 - 362).\nAnswer: -108*v - 270","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/10 or -36769?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(((s*s**14*s)\/s*s)\/s)*s*s\/s**(-2\/7)*s*s)\/(s**10\/s*s**(-15)\/s) assuming s is positive.\nAnswer: s**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 16*t**4 + 5*t**2 - 4*t - 4. Let v(f) = -33*f**4 - 9*f**2 + 9*f + 9. Let w(s) = 9*m(s) + 4*v(s). Find the third derivative of w(n) wrt n.\nAnswer: 288*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.07 in -12, 0.3, -6.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 670.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 48*n**3 - 63*n**2 - 122*n - 3. Determine m(-2).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a - 2*q + 1455, -3*q = 4*a - 2*q - 1164. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36462 and 236?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 14*r - 15*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -10*u + 1536. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 53347630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 38*p + 51*p + 275*p + 19*p + 133*p to the form h*p + v and give h.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4\/197 or 0?\nAnswer: 4\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -5 + 5\/(15\/12). Let s be n\/(-2*(-2)\/(-4)). Solve -u - s = z, -2*z + 4 + 6 = -2*u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n - 2*h - 31 = -27, 5*n + 27*h + 20 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 240026200 and 250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7245 is divided by 425.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 - 21*x**2 + 9. Let i(g) = -5*g**2 + 2. What is 9*i(w) - 2*k(w)?\nAnswer: -2*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.0842 - 0.1842. What is the closest to h in 2\/3, 3, -7\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 168\/35*(-2205)\/252.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is a3a + 1?\nAnswer: a3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 + 17. Suppose -4*s + 15 = k. Suppose 0 = -d - 0*d + w, s*d + 3*w = 6. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, 6, 26, -1, -218, -4 in decreasing order.\nAnswer: 26, 6, 3, -1, -4, -5, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22 and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -0.155  (b) 1\/10  (c) 0.2  (d) 52  (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2408518 (base 12) to base 7.\nAnswer: 113226164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**3 - 2*q - 1. Let t be (44\/(-8) + 6)\/((-3)\/6). What is j(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/8 of a millimeter in micrometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9357*u + 9625*u = -3752 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-1*(sqrt(242)*2)\/sqrt(11))\/(sqrt(33)\/(sqrt(12)\/sqrt(4)) - sqrt(11) - (sqrt(11) - (-2*sqrt(176) - sqrt(176)))).\nAnswer: 6*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and 135506.\nAnswer: 271012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 354 - -2?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -5*r**2 - 133*r + 1774. Give m(18).\nAnswer: -2240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1001 - -21?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/7*56\/80. Put -0.6, 2.1, -1\/11, u in increasing order.\nAnswer: -0.6, u, -1\/11, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16192)\/(-264) - 62)*12*-4?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 699, 766, 849, 948, 1063?\n\"Answer: 8*m**2 + 43*m + 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 3*n = 7, -n - 1 = -0. Suppose y*q - 463 + 7 = 0. What are the prime factors of q\/48 - 6\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 956 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 4*c + 0 = 3, 5*l + 3*c = 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 325762?\nAnswer: 2, 162881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 7 + 12 = 0. Let q(b) = b**3 - 4*b**2 - 2*b - 4. Let u be q(p). Let s(z) = -10*z**3 + 16. Let j(f) = 2*f**3 - 3. Give u*j(y) + 2*s(y).\nAnswer: 2*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -2861*k + 462. What are the prime factors of o(-9)?\nAnswer: 3, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 6*f**2 + f + 1. Let a(k) = k + 1. Let o(u) = -2*u**2 + 51*u - 23. Let m be o(25). Let z(c) = 2*c**2 - 6*c + 3. Let h be z(m). Give h*v(r) + a(r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -5 - ((-4 - -2) + 3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*z - 5*z - 307*y = -302*y, -2*z + 26*y = -84 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 + (1 - 2))\/2. Suppose o = -2*l - 3*l + 65. What is the highest common factor of l and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2686405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 132712, 133641, 134570?\nAnswer: 135499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -1 + -4 + 3 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*c**2 - 2*c + 14*c**3 - 19*c**4 - 9*c**2 - 16*c**3 in the form s*c**2 + h*c**4 + k*c**3 + q*c + r and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3996\/(-80) - (-9)\/12. Let k = g + 2534\/45. Let f = -7 + 5. Calculate the common denominator of f and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2078 - -2577. Calculate the remainder when b is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the product of 16003 and 0.055?\nAnswer: 880.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.89 + -3.88997272. What is t rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 - 3. Let w be 3 + 1 + 0 + s. Suppose 9 = 4*h + k - 12, -h = -5*k. Solve -c - 3*z = -14, 5 + h = w*c + 3*z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(1872) + -2)**2 + -3.\nAnswer: -48*sqrt(13) + 1871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - 12*g - 63 = 10, 4*s - 6672 + 6648 = g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-6)*i*i\/i**(-6))\/(i**6*i**2))\/(i**(1\/3)\/(((i*i*i*i\/(i*i**5))\/i)\/i)*(i*i**(-1))\/i**3) assuming i is positive.\nAnswer: i**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 3, -12, 0, -1, -30 in decreasing order.\nAnswer: 3, 0, -1, -3, -12, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 34779, 139001, 312699, 555867, 868499, 1250589?\nAnswer: 1702131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.55 - 0.15. What is the nearest to 0.1 in t, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1397 rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 + 5*f**2 - 75*f - 361. Let p be x(-9). Let k = -2.3 - -2. Which is the closest to 0?  (a) 1  (b) p  (c) k  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine thirds of a hour in minutes?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -813545, -1627081, -2440617?\nAnswer: -3254153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-2)*1*13. Let d be (24\/5)\/((-10)\/(-75)). Suppose -d = -l + h. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*z - 456 = -11 + 369 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f. Let h be k(3). Suppose 0 = -5*y + 5, 0*c = 2*c + h*y - 15. Solve -4*i = 2*s + c, s = 5*s + 4*i + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**2 - 64*j - 352. What is x(-58)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -3*q - 187. Calculate l(-18).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from skffkfk. What is prob of picking 2 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15124.9 + -15125. What is the second biggest value in 318, -3\/8, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the second derivative of w**5\/10 + 7*w**4\/3 - 49*w**3\/3 + 34*w**2 - 3*w + 112. What is q in m(q) = 0?\nAnswer: -17, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 2*w**3 + 9*w**2 - 722*w - 4382. Give g(-6).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 7. Suppose n*f + u = 17, -u - u = -f - 1. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of -z**6\/30 - 3*z**5\/10 - z**4 - 4*z**3\/3 - z - 57. Let y(m) = 0. What is m?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (36 + -41 + -2 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 483 and -21?\nAnswer: -10143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -845*w**3 + 3 - 11*w**3 - 83*w**3 - 262*w**3 - 6 to the form p*w**3 + r*w**2 + a + q*w and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 29852004?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 1137574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 16 + 20*k**2 + 18 - 1 + 11*k - 10 - 3*k**2. Let r(j) = 6*j**2 + 4*j + 8. What is -4*b(n) + 11*r(n)?\nAnswer: -2*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -116019 - 32192 = -7*r. Suppose 6*d = 19495 + r. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -24.8301 and 2\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -4 + 0 + 4 + 2*s**2. Suppose -5*t + 42 = c, 2*t + 3*c = 4*t - 27. Let i(u) = 2. Let q(w) = w + 9. Let j(b) = t*i(b) - 2*q(b). What is j(a(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (368\/(-14) + 0)*434\/(-248).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7928 is divided by 54.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*j + 552 = -5*l + 528, 6*j + 4 = 8*j - 4*l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1137\/(-4 - (-476)\/116) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 114158.\nAnswer: 2, 11, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**3 + 54*l**2 + 195*l.\nAnswer: 3*l*(l + 5)*(l + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, s: 2, j: 2, q: 2}. Give prob of sequence se.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(1\/12)*c)\/c**(1\/9))\/(c**4)**49 assuming c is positive.\nAnswer: c**(-7021\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -54 - -329\/6. Let s be 5\/((-1)\/5*-5). Suppose 3*g + s*m + 23 = 1, 5*m + 28 = 3*g. Is g less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 60208 - -0.254.\nAnswer: 60208.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 + 0. Let q = -3 + b. Let k = q - 0. Solve k*w - 5 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*k + 196*k - 74*k.\nAnswer: 85*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 - 2) + (1 - (-4 - -10)) - -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 430283 and 61469?\nAnswer: 430283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.1 or 6147\/76?\nAnswer: 6147\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1938 divided by 38?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 23 + 23. Suppose 0 = -2*m - 4*i - 36, 3*i + 0*i = 4*m + 83. Let k = y + m. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6715 divide 283865787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 35 and 16?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -88?  (a) 13  (b) 1  (c) -0.16  (d) 0.2  (e) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/212 and (13\/12 - 1) + (-7567)\/1692?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -109 + 115.7. Let f = a - 7. Let q be (-1)\/4 - 1\/(-4). Sort -2\/9, f, q.\nAnswer: f, -2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -389 and -389 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4536629.\nAnswer: 43, 105503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wqprbwpqi. Give prob of picking 1 r and 1 q.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 50622?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4699, -9431, -14201, -19009?\n\"Answer: -19*h**2 - 4675*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 223787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 97 + 158 = 0. Suppose 2*y = 0, y + n = u - y. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 393053.\nAnswer: 19, 137, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 179625 is divided by 59286.\nAnswer: 1767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*j + 16*j - 2284*j**2 - 599*j**2 + (0 - 1 + 3)*(-2*j**2 + 3*j - 3*j) to the form a*j + h + g*j**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -11*m - 49. Let o be u(-5). Suppose -2*c = q, -q + 4*c - o - 18 = 0. Let a(v) = -v + 9. Calculate a(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 (base 12) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 525100578 >= 525100577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20 and 18482.\nAnswer: 184820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41336 is divided by 2500.\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 + 3*o**2 + 3*o - 8. Let t be d(6). Let y = t + 175. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (132\/2)\/1*(-2)\/(-4). Suppose -5*s - 132 = 8. Let u = 16 - s. What is the highest common factor of d and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 PM and 6:30 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vjrerererr. Give prob of sequence err.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 127\/150 - 1\/75. Sort 0.1, u, -3 in increasing order.\nAnswer: -3, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9.5 + -11.5. Which is the closest to 1?  (a) y  (b) 1  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 53 = 3*j, 3 = -h + 1. List the prime factors of (-16903)\/j*-1 + 4\/30.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -7*n**2 + 12*n**5 + 7*n**2 - 8*n**4 = 0. What is n?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 2*t - 111 + t + t**2 + 112. Determine r(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2126.\nAnswer: 2, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.6808 + -1.65. Let m = j - 0.0308257. What is m rounded to six decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.98 + -2. Let y = -0.1 - s. Let n = y + 0.08024. Round n to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -140 divided by -35.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -2\/29, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.00387 in -5, 0.28, 3, -2?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 572 * -0.4.\nAnswer: -228.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 14*i**2 - i - 4. Let l(o) = -o**2 - o. Let x(c) = 2*l(c) - 2*p(c). Differentiate x(u) wrt u.\nAnswer: -60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 251 - 246. Suppose 3*i = 3*d + i - 688, -5*d - a*i + 1155 = 0. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/14)\/(5\/2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, p: 2, s: 1, b: 1, i: 1, t: 1}. Give prob of sequence xsti.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -5*t**2 + 5*t - 11. Let p(f) be the third derivative of 88*f**2 + 1\/8*f**4 - 1\/20*f**5 - 7\/6*f**3 + 0 + 0*f. Give 5*h(n) - 8*p(n).\nAnswer: -n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 28 - -17. Suppose 3*i = -5*s - 13 + l, i = s. Let x be (588000\/(-9))\/(s\/(-30)). Round x to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 837*d = 849*d - 12. Suppose -17 = -3*u - 4*l, 3*u - l - 2*l + 18 = 0. What is the nearest to d in u, -2\/3, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 43746 by 6.\nAnswer: 7291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -12928*z**3 + z**2 - 18*z + 385578?\nAnswer: -38784*z**2 + 2*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ihkc when four letters picked without replacement from {h: 1, c: 2, o: 2, i: 2, k: 4, z: 1}?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3610, -7186, -10724, -14206, -17614, -20930?\nAnswer: -24136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000091822 to six dps.\nAnswer: -0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1023 - 2232213?\nAnswer: -2233302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes before 11:00 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -201 (base 4) in base 13?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 24 - 7714\/323 - ((-6928)\/(-17))\/(-4). What is the highest common divisor of 1054 and h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 198557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2197894.\nAnswer: 2, 683, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sum -60724892 and 151.\nAnswer: -60724741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 3*p - 2)*(-p**3 - 3 + 3) - 2*p + 2*p + 4*p**4 in the form n*p**4 + o + r*p**3 + k*p**2 + j*p and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7\/5?  (a) 2\/11  (b) 1\/8  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gtggtgtggtttgt. What is prob of sequence ggg?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10245997.\nAnswer: 19, 43, 12541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 988 + 180. Suppose -4*x = 4*v - 416, -4*v + x + w = -144. Let k = v + -70. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: 1111100010010100010 (base 2) to base 3\nAnswer: 221212100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*t**3 - 92*t**3 - 72 + 72 + 48*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 - -1 - ((198 - 185) + -2 + 46).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 497 = s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of b**6*d + 23*b**4*d**3 + 2*b**2*d**2 + 2*b - 8*d**3 wrt b?\nAnswer: 120*b**3*d + 552*b*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, h: 2}. Give prob of picking 1 h and 1 u.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -4 + 6 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -83\/102 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -314564*h. Let u(f) = f. Calculate u(z(i)).\nAnswer: -314564*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 68293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 2\/25113?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are 7597295 and -0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*a**3 + a + 6*a**3 + 16*a**3 + 28*a**3.\nAnswer: 54*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-39)\/((-9126)\/52))\/(14\/63*-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -15*h - 33. Let l be i(-6). Let z = 56 - l. Is z at most as big as 14\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 138*a - 117*a = 4158. Is 22 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eiitetieetoetieietj. Give prob of picking 4 i.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 6\/75 - (-64950)\/625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -10 + 4*h**3 - 6*h**3 + 10*h + 3*h**3 - h**2 - 6*h**2. Let n be j(6). Let b = 43 - n. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -124\/98175 and -38\/525.\nAnswer: 98175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59*c - 59*c + 11*c**2.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/70 and -99\/406?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add together 174.73206 and -0.0055501.\nAnswer: 174.7265099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 12491693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o**3\/5 + 82734*o**2\/5 - 2235056*o\/5 + 1821336 = 0. What is o?\nAnswer: -41394, 5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.51 + -305.51. Let d = h + 302.67. Round d to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45783 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 800827 + -800826.5. Let f = -1 + 1. Let o = -0.05 + 0.45. Which is the fourth smallest value?  (a) o  (b) f  (c) x  (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7351 (base 11) to base 14\nAnswer: -3796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -4\/5*a**4 + 0 - 2\/5*a**5 + 8*a**2 + 24\/5*a + 14\/5*a**3 = 0?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.45 - 55128.7635?\nAnswer: -55127.3135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x. Let b be o(2). Let p be 6 - -2*(-1)\/b. Let h(i) = i**3 - 4*i**2 - 3*i - 6. Let z be h(p). Which is smaller: z or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/15 of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 + -11. Suppose 4*z + z = -r*z. Which is the closest to z?  (a) 1\/18  (b) 2  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 548232022 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.26085 micrograms in tonnes?\nAnswer: 0.00000000000226085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -222 divided by -610?\nAnswer: 111\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 131 - 47. Suppose 4*z = 3*b - n, 0 = -3*b + 5*z + 21 + 3. Solve 0*q + 2*a + b = 3*q, -4*q + 15 = a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.038 times -0.038?\nAnswer: 0.001444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42.96346ms to nanoseconds.\nAnswer: 42963460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5426, 5317, 5208, 5099?\nAnswer: 4990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2488, 2487, 2486, 2485?\n\"Answer: -x + 2489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 - 2. Suppose -p = -5*x + 14. Put 1, -5, x in decreasing order.\nAnswer: x, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 86320, 86094, 85606, 84724, 83316?\n\"Answer: -22*k**3 + k**2 - 75*k + 86416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 0*j + 4*x = -8, -8 = 4*x. Suppose j = 10*o - 12*o + 188. What is the remainder when o is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 223690 times 2\nAnswer: 447380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 758 (base 11) to base 8.\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 124322001 (base 6) in base 10?\nAnswer: 2452465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(567)*-5 - ((1 + sqrt(567))*2 - sqrt(567)))**2.\nAnswer: 396*sqrt(7) + 68611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/((-1)\/3)*15. Let o(h) = -h**2 + 4*h - 5. Let k be o(7). Let z = b + k. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*r**3 - 16*r + 11*r**2 + 17*r + 0*r**3 to d*r + b*r**3 + w*r**2 + z and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 3 = t. Let x(l) = l**3 + 4*l**2 - 2*l - 6. Let m be x(t). Suppose 3*p - p = 2*w - 106008, 4*w - m*p = 212008. Round w to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 102509243 to the nearest integer?\nAnswer: 10125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) 2  (c) -71  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -6*s - 67. Calculate p(-20).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) 0.4  (c) 1  (d) 2  (e) -5  (f) -628\/71  (g) 9\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wflw when four letters picked without replacement from {l: 4, f: 6, w: 4}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5227, 10458, 15695, 20938, 26187, 31442?\nAnswer: 36703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/(-12)*(-8)\/6. Let q(r) = -77*r + 769. Let n be q(10). Let w be ((-4)\/(-16))\/(1\/(-2)). Which is the nearest to w?  (a) 5  (b) h  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {r: 2, x: 7}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.49 - -0.09. Suppose 20 = -34*j + 39*j. Which is the closest to 2\/3?  (a) p  (b) 6  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 184908 is divided by 8339.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 11872 - -19c?\nAnswer: 11a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -467659, -935315, -1402971, -1870627?\n\"Answer: -467656*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-24)\/(-16)*(-1 - 47\/(-3)). Suppose 23*t + 2 = n*t. Let c(s) = -s**2 + s + 1. Calculate c(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3429210684?\nAnswer: 2, 3, 701, 407657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + u**4)*(245*u - 561*u + 247*u).\nAnswer: -69*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 2*c = -6581, -4*s - 5*c = -4485 - 4305. What is the biggest value in 3\/4, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -10*x**2 - 3*x - 2. Calculate r(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 61343\/16 - 3829. Calculate the common denominator of -1 + (294\/(-172))\/(-3) and a.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 2*q**2 + 77*q + 192. Give c(-36).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + -2*2*sqrt(325) + -3)*-6)**2.\nAnswer: 8640*sqrt(13) + 188496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 26*y**3\/3 - 170*y**2\/3 + 48*y.\nAnswer: 2*y*(y - 1)*(13*y - 72)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*h - 20 = 11*h. Let m = -1225 - -465. Does 28 divide (-24)\/h*m\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/(-12)*8\/(560\/15)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, x: 2, z: 5}. Give prob of picking 2 z and 1 f.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 127\/5718 and -31\/768.\nAnswer: 731904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 3*j**4 - 36*j**3 - 399*j**2 = 0.\nAnswer: -7, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 6, 5, 0 in descending order.\nAnswer: 6, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2873?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 44*o**5 + 34*o**5 - 28*o**5 + (-o + 2*o + o)*(-o**4 - 4 + 4).\nAnswer: 48*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-306)\/76755*-43)\/3?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 127 - 127 - 2605*v**2 - 58*v**2.\nAnswer: -2663*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/12*(-168)\/(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -2*p + 17 - 2*p + 2*p + p. Let f be q(-20). Let g = f + -35. Solve 0*s - 8 = -g*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -12439, -2, -5 in ascending order.\nAnswer: -12439, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - n - 4 = 0, 6*s - 2*n = s + 12. Sort s, 5, -4 in decreasing order.\nAnswer: 5, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 106197 = -6303. Suppose -4*d = -3*d - 5*f - 27, -25 = 5*f. Suppose -3*p - i = d*p. Round p to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 16.811064 months?\nAnswer: 0.01400922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1071.54936221 + 992.5493617. Let c = l - -79. Round c to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 504\/35*540*1. Suppose -x + j = -10824. Round x to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -25*q - 1 + 3 + 0. Let d be u(6). Let l be 2\/(-8) - d\/16. What is the highest common factor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes before 1:17 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.7837319 to three dps.\nAnswer: 0.784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -36 + 23*w - 14*w - 16*w wrt w.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4 - 2)*(-3*y + y + 0*y) + 0*y + 3*y - 2*y - 68*y - 162*y - 225*y + (2*y - 3*y + 3*y)*(-1 + 4 - 2).\nAnswer: -442*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/18 - 885\/27. Let c = 26 + x. Let o(d) = -46*d - 20. Is o(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 641 - 570. Let t = m - -913. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.65969 rounded to two dps?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 8*y - 6. What are the prime factors of n(5)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 16636910, 16636904, 16636898, 16636892, 16636886?\n\"Answer: -6*q + 16636916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 93480*q. Let i(o) = -o. Determine i(l(p)).\nAnswer: -93480*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13\/35 - 3\/35. What is the nearest to 0 in 1\/2, l, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -2*x + 50. Let n(s) = s. Let f be n(6). Calculate the greatest common factor of x and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66) - -5*(sqrt(66) + sqrt(66) + -2*sqrt(66)))\/(-1*sqrt(150)).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.1 and 125340.\nAnswer: 125340.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -56701160, -56701105, -56701036, -56700947, -56700832, -56700685, -56700500?\n\"Answer: i**3 + i**2 + 45*i - 56701207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2*h**3 + 11*h**2 - 4*h + 14. Let w be l(-6). Factor -3\/8*g**w + 3\/2 - 3\/8*g**3 + 3\/2*g.\nAnswer: -3*(g - 2)*(g + 1)*(g + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62318953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 48453 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, -16, -236, 8, -7.\nAnswer: -236, -16, -7, -5, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 9*b**2*p**2 - 182*b**2*p - 1204*p**2 wrt b.\nAnswer: 18*b*p**2 - 364*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83\/4*a**2 - 169\/4*a + 1\/4*a**3 + 85\/4 = 0 for a.\nAnswer: -85, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 2*f**2 - 55*f + 80. Let a be i(26). Let r(b) be the second derivative of -1\/6*b**3 + 0 - 7*b + 1\/2*b**a. Differentiate r(l) with respect to l.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3*2\/(-3) + 11. Let w = 22 - g. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 7}. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the second derivative of -l**5\/20 - l**4\/3 + l**3\/2 + 8*l**2 + l. Is k(-5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 12:25 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (6\/(-3))\/(-12) - (-69)\/18. Suppose 2*f + 3*b = w, 2*f = 9*b - 10*b + 12. Let u(s) = -2*s - 9. Let o(q) = -3*q - 14. Give f*u(a) - 5*o(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 26066 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2738, -2851, -2962, -3071, -3178, -3283?\n\"Answer: l**2 - 116*l - 2623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 7:38 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -45 + 46. List the prime factors of (2 - t)*(-4 + 30 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -451276*g**3 + 62365*g**2 - 2 wrt g?\nAnswer: -2707656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11822 and 230?\nAnswer: 59110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -175 = -5*w + 3*d + 2*d, -41 = -w + 3*d. Calculate the least common multiple of w and 44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 3*m = 93, 0 = -5*t - m - 0*m + 179. Let o = t - 25. Let a = 33 - 5. Calculate the remainder when a is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -66*a**2 + 185*a - 165. Give y(7).\nAnswer: -2104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -150852 divided by 37713?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 + -2)*(-14)\/4. Suppose -2*g - 22 = -4*k + 8, -5*k - g + 41 = 0. Let x = j + k. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 104299668 - -1.66.\nAnswer: 104299669.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of r**6\/30 + r**5\/10 + r**4\/4 + r**3\/6 + 2*r**2. Let b(h) = 5*h**3 + 5*h**2 + 5*h + 1. Let o(m) = -5*b(m) + 4*g(m). Give o(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.25 rounded to one dp?\nAnswer: 21.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:44 AM and 12:25 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 197\/55080 and 1\/648.\nAnswer: 55080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -382843 smaller than 2572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2.6  (b) -0.4  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.06 + 0.14. Suppose 7*a - 73 = -38. Let n be -1 + -1 + (-32)\/(-14). What is the closest to n in a, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, 0.2, 2\/9, 2\/5, -244, 2\/11, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(306) + (sqrt(306) - sqrt(306)*-2)*-2)\/((sqrt(2) - sqrt(4)\/sqrt(2)*-6)*4).\nAnswer: -15*sqrt(17)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*t**4 - t**4 + 0*t + t**4 + 2*t wrt t?\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 67, 65, 63?\n\"Answer: -2*g + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10*k**4 + 12*k**3 - 38*k**3 + 17*k**3 + 5 + 12*k**2 wrt k.\nAnswer: 240*k - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -93 + 27*c + c**2 - 27*c - 3*c**2.\nAnswer: -2*c**2 - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v**2 - 4*v**2 + 2*v**4)*(-2 - 3 + 4) - 8*v**4 + 0*v + 0*v - 3*v**4 + 2*v**4 - v**4.\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xzzdxxuddzx. Give prob of picking 1 u and 2 x.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -9 - (-2007)\/153 - 4\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 55959, 223657, 503105, 894303?\nAnswer: 1397251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 155 - 154. Find the second derivative of 1 - k + 88*x**2 - 225*x + 80*x wrt x.\nAnswer: 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = -m + 7, -b + 14 + 14 = 4*m. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6 - 10) + 1*2. Let u be (2*c\/(-8))\/((-1)\/12). Calculate the common denominator of -67\/60 and u\/(-69) + 307\/(-92).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-1)*((-2)\/3)\/(7950\/477)*-10?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -133\/12 or -10?\nAnswer: -133\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes before 11:24 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 96 and 3.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 145\/6942 and 12\/143.\nAnswer: 76362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + b = -30, 280*v - 563*v - 5*b - 3 = -287*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -73.2 + 73. Let m = -5.5 - -7. Let p = m + 0.5. Sort 3, p, a in descending order.\nAnswer: 3, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + 3*i + 3314. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4740.3 minus -0.16?\nAnswer: -4740.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 220*h + 70. Determine s(-1).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 63484873 to the power of 1\/2, to the nearest integer?\nAnswer: 7968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 80 + 203747\/(-2546) - (-6918)\/76\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.569 - 16.569. Which is the nearest to -1?  (a) 4\/5  (b) 0.2  (c) l  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1119\/5 at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**3 + 23*b**2 - 95*b**2 + 5 + 5*b + 77*b**2. Determine g(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 114*d**3 - 3*d**2 + d + 1. Let w = -18 - -19. List the prime factors of v(w).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (34*y - 269 + 269)*(-2 - 10 + 2)*(4*y + 0*y - 3*y) to n*y + g + u*y**2 and give u.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -2*c**2 + 4*c + 2357. Let t(i) = 2*i**2 - 5*i - 2354. Give 5*j(l) + 4*t(l).\nAnswer: -2*l**2 + 2369","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 less than 0.565?\nAnswer: -131.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*s - 25*s + 4 = 0. Calculate the remainder when 205 is divided by (0\/(-2) + s)*78\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the third derivative of y**6\/360 - 13*y**5\/90 + 143*y**4\/72 + 85*y**3\/9 - 14*y**2 + 4*y - 2. Solve j(q) = 0 for q.\nAnswer: -1, 10, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*i - 6*i + 5*i + (2*i - 6*i + 0*i)*(2 + 0 + 1).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - -5 - 12) + 0 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 180\/(-12)*3\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 819962051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 29 and 317731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 40 and 1391464.\nAnswer: 6957320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 261, -14.4?\nAnswer: -14.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -38*m**2 - 366*m + 11. Calculate s(-9).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + 40 = -4*v, -51*v + 46*v - 4*s + 85 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:34 AM and 6:58 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 56 and 635446.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -249  (b) -3  (c) 0.5  (d) 2\/7  (e) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 129.4 - -12.6. Let j = f + -142.2. Which is the closest to -10\/9?  (a) -3  (b) j  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 2*x - 31. Let v be t(17). Let c(f) = f**2 - 6 + 64*f**v - f - 62*f**3 + 6*f. Let q(l) = -l + 1. Determine -c(o) - 6*q(o).\nAnswer: -2*o**3 - o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2491 - 5073\/2. Find the common denominator of 153\/30 + -1 + (-846)\/(-1410) and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*z - 2*s, -5*s - 4 + 29 = -z. What is the third derivative of z*j**2 - 3*j**2 - 4*j**2 + 4*j**2 - 2*j**4 wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.12020158+6.7891\nAnswer: 6.66889842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 - p - 1. Let d be (-1)\/(-4) + 3\/4. Let o(j) = -17*j - 1 - 14*j + 32*j. Let g(b) = d*o(b) - r(b). Find the second derivative of g(w) wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00294 rounded to four decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**3 - 29*c**2 - 183*c + 63. Is k(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + o - 4 = -o, -2*o - 2 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1848680 + 1845272 = 142*x for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2090)\/171 - (2 - 14).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 3019 - 26209. Suppose -5*s - 1473 + z = 0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:01 PM and 1:09 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/8*(-10)\/(-15)*-3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -g + 36. Let w = g - -13. Which is bigger: 5 or w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2764, 5526, 8288, 11050, 13812, 16574?\nAnswer: 19336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -572*j + 92. What are the prime factors of d(-2)?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4980 and 20252.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -4*v + 792, -2*v + 5*a = -v - 175. Suppose 88 = 3*z - b, -4*z + v - 74 = -5*b. Solve -5 = -4*w - f, -5*w + z = -5*f + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(20)\/sqrt(16))**2 + 2 + -1*(5*sqrt(5)*-2 + sqrt(55)\/(sqrt(11)*1))**2.\nAnswer: -1571\/4 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 6538  (b) 2  (c) -26  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the third derivative of -l**10\/453600 + l**9\/90720 - l**8\/60480 + l**5\/15 - 2*l**2. Let t(q) be the third derivative of y(q). Factor t(w).\nAnswer: -w**2*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 185631?\nAnswer: 3, 43, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*g - 13*g = 8. Let x(b) be the second derivative of -2*b**3\/3 - 2*b. Determine x(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssvstmsmttmms. What is prob of picking 2 s and 1 v?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17634 + 17632. Which is the closest to o?  (a) -1853  (b) -1  (c) 3\/8  (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2560, -1963, -334, 2843, 8084, 15905?\nAnswer: 26822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15049546 or 15049545?\nAnswer: 15049545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.67 - -0.3?\nAnswer: 1.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-10))\/(2\/10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82109 is divided by 1462.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 770.8 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 768 divide 45623830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 3 i when four letters picked without replacement from {i: 3, c: 1}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes after 10:00 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 157913 + -157913.00109039. Round k to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 634 + -44. Let w be (-2)\/(-4) + u\/(-24). Let z = w - -71\/4. Calculate the common denominator of z and -81\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1213830029 rounded to the nearest one million?\nAnswer: -1214000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2015610?\nAnswer: 2, 3, 5, 67187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0146 to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0035389*0.5.\nAnswer: 0.00176945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 203767 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**0)**(-4\/7)\/(d*d*d\/d**(1\/8))**(-3) assuming d is positive.\nAnswer: d**(69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 6*d**2 + d + 1. Let h be f(-1). Suppose 27 = -j + h. What is the tens digit of (-8)\/28 + (-216)\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -66, -57, -42, -21, 6, 39?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*c + 7*c = -20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -6032559*n**2. Let p(m) = 21*m**2. What is t(p(f))?\nAnswer: -2660358519*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 21 - 12. Let i = u + -1. Let x = 7.6 - i. What is the nearest to 0.3 in 4, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 28115723540.000000323 - 28115723514. Let g = 42 + -68. Let s = t + g. What is s rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xgxbx. Give prob of sequence bxb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n - 225 = 8*n for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*j + 46 - 34. Put -0.4, j, 12\/7 in increasing order.\nAnswer: j, -0.4, 12\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5)\/(10\/2)*-211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -84, -106, -130, -156, -184?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/4, 3752092, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16735*b - 40 = 16745*b - 260 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*r + 0*r - 4*r)*(-2 + 3 - 3) - 166*r + 104*r - 254*r + 4 + 2*r + 0 + 0 + (-2 + 1 + 2)*(-3*r + 6*r - r) - 3 + 3 + r in the form u + h*r and give h.\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3215477 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(486) - -2*sqrt(486) - sqrt(486))\/sqrt(2).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3071734 minus -508.5?\nAnswer: -3071225.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-52)\/468)\/(2\/21))\/((-3)\/9)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 13*g + 22 + 6580*g**3 - 22*g**2 + 6*g**2 - 6579*g**3. What is b(15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1427 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*x - 60 = -89*c + 79*c, 5*x - 62 = -4*c - 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.93 take away -39?\nAnswer: 39.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -337.4716203 rounded to the nearest integer?\nAnswer: -337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 4*s + 1 = 21, -4*s + 20 = 4*f. Let b = -4 - -8. Suppose 3*h - 5*h - b = 0. Which is smaller: h or f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21962?\nAnswer: 2, 79, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -24*v + 12. Determine u(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -147 (base 14) to base 8\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -129*w - 21. What is the lowest common multiple of 10 and f(-3)?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12657.06010353228 + -129801184.06010354228. Let v = k + 129788528. Let u = -1 + v. Round u to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 13*m. Let p be v(8). Calculate the highest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 77.45 + -77.85. Which is the second smallest value?  (a) -0.05  (b) 5  (c) r  (d) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2746912807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 122627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19746 and 167706.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4175 - 643?\nAnswer: -5040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**3 + 8*s**2 - 9*s + 4. Let b be c(-9). Suppose 3*u - u - 2*i + 10 = 0, -b*i = u - 20. Let o be (u + 0)\/((-6)\/3). Solve 2*r + 6 = -o*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73434 is divided by 1368.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {k: 7, p: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(4*(3 + (sqrt(128) - (1 + sqrt(128))) - sqrt(128) - ((-2*sqrt(128) - sqrt(128)) + 5))*5)**2.\nAnswer: -115200*sqrt(2) + 625200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -134 equal to -134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 784 = 2*w - 10*p + 12*p, 0 = 2*w + 4*p - 784. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*v + 7*v - 32*v as t + p*v and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 3 + h**2 - 9*h + 0*h**2 - 2 + 0. Let o be f(9). Let c = 26 - o. Solve -5*i + c = -0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*p**2*v**2 - 3*p**2*v - 63625*p**2 + 501*p*v**2 + 8*p + 1933*v**2 + v wrt v?\nAnswer: -8*p**2 + 1002*p + 3866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 3*l**2 + l - 1. Let u(h) = 64*h**2 - 65*h**2 - h + 2 - 1. What is 4*s(q) + 4*u(q)?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -3*6\/(-126)*-3\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 740509120?\nAnswer: 2, 5, 13, 17, 37, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -2\/11, -1418, -0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 5\/8 of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.8 and -24.8?\nAnswer: -19.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((2*w + 0 + 0)*(3 + 1 - 1) + (-6 - 1 + 4)*(-3*w - 1 + 1) + (-2*w - 3*w + 3*w)*(-1 + 0 + 0))*(-3 - 1 - 2)*(5 - 1 - 1) to d + o*w and give o.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-3 - 0) + 3)\/(-2). Suppose 2*g + 4*a - 56 = -0*a, k = 3*g + 5*a - 79. Solve -g + 6 = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42731907?\nAnswer: 3, 23, 619303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lzdz. Give prob of sequence lzl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 5 + ((0 + 0 + sqrt(17) + -4 + 1)*3)**2 + 2.\nAnswer: -54*sqrt(17) + 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 3, h: 3, l: 1}. Give prob of sequence hol.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -135\/38 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the third derivative of -w**5\/15 + 5*w**4\/24 - w**3 + 49*w**2. Let g(c) = -5*c**2 + 6*c - 7. Determine -3*g(q) + 4*v(q).\nAnswer: -q**2 + 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 170217 is divided by 28368.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 4 - 5*v - v**2 - 3 - 4. Let r(o) = -o**3 - 3*o**2 + 2*o - 4. Let k be r(-4). Suppose -2*l + l = -3*t - k, 5*t = -3*l - 30. Calculate a(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 67*w**4 + 8*w**5 - 67*w**4 + (-w**3 - w**3 + 3*w**3)*(5*w**2 - 4*w**2 + 3*w**2).\nAnswer: 12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**2 - 10*h + 27. What is the least common multiple of 297 and k(0)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-54*b + 47*b + 25*b)*(1 - 2*b - 1) + (3*b + b - 3*b)*(-4 + 2 + 3)*((4*b + 3*b - 5*b)*(-3 - 2 + 3) + 2 - 2 - 2*b + b + b + b).\nAnswer: -39*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3101043 + -1562?\nAnswer: 3066151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 103.27969707 to zero dps.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of f**3 + 33*f**2 - 3*f + 9. Does 8 divide a(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -191*l. Let c(h) = -269*h. Determine u(c(y)).\nAnswer: 51379*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-1\/13)*x**(-8))\/(x*x*x**(1\/2)*x)**30)**(-5) assuming x is positive.\nAnswer: x**(7350\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8299.494s to hours.\nAnswer: 2.305415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1 - ((-3 - 1) + 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 251.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/(-24) + 66\/8. Let m = 12 - c. Suppose -12 = -2*r + 2*z, m*z = 2 + 6. What is the smallest common multiple of r and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + 127 + -158 + (-2 - -20).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 4) + -11 + (-154 - -152) - 11?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 8330.491 decades?\nAnswer: 83.30491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.3777965 + -2.3935. What is x rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t - 11. Let n be s(9). Let h be -2 - (-3 - 6\/n). Let c = h + 14. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 265145 + -1?\nAnswer: 265144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-31)\/(124\/10))\/((-65)\/2).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -43, -46, -49, -52, -55, -58?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/5*2730\/(-3276)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6.7 * 730.\nAnswer: 4891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (39 - 64 + 2779*n + 27)*(6*n - 2*n - 2*n).\nAnswer: 5558*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 - -18. Let a = w + -2. What is the third derivative of 3*q**2 + 2*q**2 - 5*q**2 - a*q**3 - 7*q**2 wrt q?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 1 - 3 = 0. Let s = 3 + d. Let t(m) = -3*m**2 - 5*m - 1. Let v(u) = -2*u**2 - 5*u. Let a(w) = -3*t(w) + 4*v(w). Determine a(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 521.99969 - 522. What is d rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -3\/4808?\nAnswer: -3\/4808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/5 of a century in decades?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v + 4 = -4*v. Solve -2*g = -v - 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 698*c + 97*c**3 - 12*c**2 - 11 - 696*c - 96*c**3. Calculate x(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 32*b**2 + 11*b + 3. Let p(h) = 11*h**2 + 4*h + 1. Determine 17*p(u) - 6*t(u).\nAnswer: -5*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7727465?\nAnswer: 5, 1545493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(-5\/2)*k)\/(k\/((k\/((k*k**(-1\/3))\/k))\/k)*k)*k**(-1)\/((k**(3\/2)*k*k)\/k))**(14\/9) assuming k is positive.\nAnswer: k**(-238\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 + 3 - (-40)\/(-22). Suppose 77 = -5*c + 17. Let f = 11 + c. Which is bigger: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 41?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 3*h. Let y(j) = -j - 3. Suppose -5*x + 5*d - 33 + 13 = 0, 3*x + d = -12. Let i(w) = -w - 4. Let o(m) = x*y(m) + 3*i(m). Determine o(r(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 193800 is divided by 74?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**3 - 2*t**2 - 2*t. Let k(i) = 19*i**3 - 2*i**2 + 7*i + 129. Let z(c) = k(c) + 3*y(c). What is the second derivative of z(u) wrt u?\nAnswer: 132*u - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-22)\/77)\/(1\/(-7)). Let l = 1 + 0. Is (h\/l)\/((-2)\/(-382)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.013 + -3.313. Let o = n - -1.3. Let q(y) = 3*y**3 - y - 1. Let u be q(-1). Which is the nearest to -1?  (a) o  (b) -1  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4636715.21 less than 260?\nAnswer: 4636975.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d + 1. Let g be q(-4). Let k be 1\/3 - 308\/(-21). Let r = 7 + -5. Solve g - k = -r*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0\/((-2*2)\/(-2 - -4)). Let o(m) = -m**2 + 2. Let x be o(f). Solve -i + 1 = 4*h, 4*h - 4*i = -x*i + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 minus 2.4283?\nAnswer: -4.4283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a century in months?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0\/27)\/(3 + 1*-1). Let a be 0 + m - (3 - -2 - 3). What is the tens digit of a\/5 - (-636)\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 3*g**2 - 56219334*g + 263384459616963 = 0?\nAnswer: 9369889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 397919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (1 - 2) + (-36 - (-51 + 33)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1024228 greater than 1024624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 73001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from ppep?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.1388022786+-22677\nAnswer: -22676.8611977214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -7*g + 204. Calculate the greatest common factor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + ((2 - 6) + -1 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 37, 67, 97, 127, 157?\n\"Answer: 30*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -386456.21 rounded to the nearest 10000?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*j**2 - 319088237*j - 805574705?\nAnswer: 4*j - 319088237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 7208497, 7208496, 7208495?\n\"Answer: -a + 7208498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v. Let z(k) = 894*k**3 - 9*k**2 + 16*k - 69. Let s be z(6). Let g(j) = -s + 192807 - 417*j. Calculate m(g(u)).\nAnswer: 417*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.651 and 194155037?\nAnswer: 194155037.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -8*i + 11*i + 13*i. Let p be f(2). Let w = p - 13. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 3395 - 3363 = 7*z, -8 = -r + 3*z for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1300 by 541.\nAnswer: -1300\/541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 1357205*h**4 + 2176738*h**3 - 3520392*h**2 - 13538*h - 13 = 0.\nAnswer: -13\/5, -1\/521, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/5*15\/3. Suppose 4*i - 36 = -5*j, 3*j + 8 = 3*i + 2*j. Solve -d*g + i*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.02  (b) -0.01  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -810 = -66*n - 1602 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 15  (b) -0.5  (c) 274  (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 7, u: 3, s: 1, q: 2, j: 1}. What is prob of picking 3 o?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:48 PM and 10:13 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the third derivative of -s**5\/30 - 3*s**2. Let b(h) = -2653 + 12*h + 2653. Determine u(b(i)).\nAnswer: -288*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + n = -2*q, 0 = -2*q + 4*n + 12. Suppose q*a + 58 - 70 = 0. Let l(f) = 1 + 7*f + f - a*f - 6. Determine l(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 824840327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -3*w + 1136, 0*w - 2*w - f + 759 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 4*u - 1428 = 0. Suppose 12*j - u = -2*j. Calculate the remainder when j is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/5, -818\/13, -0.3, -2\/23, 6.\nAnswer: -818\/13, -0.3, -2\/23, 3\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-2)*(-140)\/(-5225010)*179?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i - 3. Let o(n) = 5*n - 16. Let v = -20 + 24. Let m be o(v). What is s(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -27 and 9760.\nAnswer: -263520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the second derivative of g**4\/12 - 5*g**3\/6 + 3*g**2 + g. Let i be z(4). Factor 0*o**2 - 3*o + 0*o + 2*o**i + 5*o.\nAnswer: 2*o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 32*k**2 + 5*k - 7. Let a be y(1). Let m = 44 - a. Calculate the highest common divisor of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 8 = -q, -4*q - 17 = -l. Let x = 0.87 + -0.57. Put -0.2, -2, x, l in ascending order.\nAnswer: -2, -0.2, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 + -2. Let m be (1 + 0)*(-2 - -4). Let v be (-28)\/(-4) + -8 - (m - -1). Sort -7, t, v in descending order.\nAnswer: t, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 + 51d?\nAnswer: 51c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82546 is divided by 41271.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 7*d**3 + 5*d**2 - 2*d - 1. Let t be h(3). Let b = t - 36. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 10*c + 891. Which is greater: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16 - 8. Suppose 10*s - 322 = 3*s. Let u = -23 + s. Calculate the remainder when u is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -272989, -545983, -818981, -1091983, -1364989, -1637999, -1911013?\n\"Answer: -2*s**2 - 272988*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**3 + 77*f**2 + 2848*f + 323. Determine d(-27).\nAnswer: -757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14558361 - 15932429 = 113*v. Round v to the nearest one thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 27 + -21. Put -2, m, 3, 0 in decreasing order.\nAnswer: m, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and 11920?\nAnswer: 107280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 15*a**2 + 2*a + 2. Let n be k(-1). Let b be 27\/6*(-20)\/n. Let f(u) = -3*u - 15. Let m be f(b). Solve -6 = m*p - 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t - 7. Let a(x) = 2*x + 8. Let v(h) = 5*a(h) + 6*d(h). Let j be v(3). Solve -j = -g - g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2798 - -1659. Let h = j + 15887\/14. Let w = 1796 - 35863\/20. Calculate the common denominator of h and w.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*z + 14*z + 217 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 489863296.\nAnswer: 2, 13, 17, 17317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11 and 1894112?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.63  (b) 1575  (c) -2\/13  (d) 2\/21  (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 15*l + 12*l - 29*l. Let n(v) = v**3 + 5*v**2 + v + 7. Let a be n(-5). Let g(k) = -5*k**a + 6*k**2 + 4*k**2. What is g(i(b))?\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -497299, -994596, -1491893, -1989190, -2486487?\nAnswer: -2983784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1602 and 21.\nAnswer: 11214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*i**2 + i**2 + i**2 - 10*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*p + 13*p + 0*p**3 - 2 + 2*p**3 to the form v*p**2 + j*p + m + a*p**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-6))\/((-221)\/(-7956))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3212051 (base 11) to base 13.\nAnswer: 122c762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 312*b - 2402 = 107*b + 58 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -l**5*o**3 + 348070*l**4*o**3 + 931*l**2*o**3 + l*o**3 - 9*l*o - 59*o**2 wrt l.\nAnswer: -60*l**2*o**3 + 8353680*l*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q + 2*q + 4*q + 9*q + 0*q - 11*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*g**2 - 2*g**2 - 7*g**2 + 12*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the first derivative of 4*g**5\/5 - 16*g**3\/3 + 20. What is the third derivative of u(y) wrt y?\nAnswer: 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide (-8)\/6*(-561)\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 6439.124 centuries?\nAnswer: 643912.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 + 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.5 - -0.3. Let q = 22.6 + -22. Let u = 1.1 - q. What is the nearest to 2 in j, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 205 and 337030?\nAnswer: 69091150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -605407\/560 - -17581\/16. Let i = c + -125\/14. Which is greater: i or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1740 divided by -5\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 9200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 776651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000001110111010 (base 2) to base 14.\nAnswer: -c40a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nbcf when four letters picked without replacement from nnbcjjncfjfcfnjffj?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 211 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 - 5*r**2 + 3*r - 4. Let x(d) = -d + 2. Let k be x(3). Calculate the remainder when q(6) is divided by (1 - k)*(-17)\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79*a + 161 = -234. Suppose -37 = -n + z, -a*n - 132*z + 177 = -135*z. Let i = -16 - -70. What is the lowest common multiple of n and i?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19.79 + 0.21. Let m = -20.1 + g. Put 2\/5, 4, m in decreasing order.\nAnswer: 4, 2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 7\/(-42) + (13\/150 - 0). Put -2\/7, h, -0.2, 1\/4 in increasing order.\nAnswer: -2\/7, -0.2, h, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**3\/6 - 2629*i**2\/6 - 2298247*i\/6 - 222738369\/2.\nAnswer: -(i + 833)**2*(i + 963)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001755946 rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 7 = 4*t - 2*t, 0 = -4*t - 5*w + 3. Suppose -385 = 5*p - t*f, -2*f = -4*p + 122 - 432. Let l = -131 - p. Round l to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 8 + 192. Let q = 130 - f. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the first derivative of -1\/7*k**4 - 1\/21*k**3 + 6 + 3\/35*k**5 + 1\/7*k**2 + 0*k. Find h, given that g(h) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -5*f**5 - 9*f**4 + f**3 + 6*f**2 + 7*f - 3. Let p(q) = -6*q**5 - 10*q**4 + 2*q**3 + 6*q**2 + 8*q - 4. Let s(k) = 3*p(k) - 4*z(k). Factor s(b).\nAnswer: 2*b*(b - 1)*(b + 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a = 3*k - 6*a + 263, 6*a + 2871 = -32*k + 17 for k.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n\/n**(2\/7))\/(n**6\/n))\/(n**(2\/7)*n)**(-2\/177) assuming n is positive.\nAnswer: n**(-193\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 896000 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -720 - 8304 = 188*u for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 83*u**2 - 2. Suppose 8 = 3*w - 7*w. Let c be x(w). Suppose 132 = 6*o - c. What are the prime factors of o?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 11.0497797 seconds?\nAnswer: 0.00012789096875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (40\/16*(-6)\/(-10))\/(-6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/14*(-14)\/12*1575\/70.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.286*765\nAnswer: 218.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -217*z**3 - 1800*z**2 - 508*z + 35. What is s(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 13*j**2 - 4*j + 11. Let w be m(-5). Suppose w = 21*n + 125. Is n\/(77\/6852) + (-2)\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/325?  (a) -5  (b) 2\/19  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 50 = -66*q + 71*q, 27 = 3*q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 605687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2782*h = 3979*h + 87381 for h.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*d - 4*d - 404 + 399 to the form y + q*d and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -306 in -3, 1, -7\/5, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddn when three letters picked without replacement from {n: 1, d: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 414\/(-720) + (-3)\/(-8).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + 67. Let d = -58 + u. Suppose 0 = -2*h + d*h - 1460. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -55*c**2 - 1433*c - 367. Give o(-26).\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4aa2445 (base 11) in base 15?\nAnswer: -b9b224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115 = -28*v - 31. Let k(c) = 4*c**2 - 7*c + 13. Let x be k(v). Calculate the highest common factor of x and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3434 = -6*p + 9338. What are the prime factors of p?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -181\/8143790 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2*(-1*(-172)\/(-8) - -2). Let y = b - -111. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 - 12. Let w be g\/2 - 390\/(-20). Suppose s - 15 = 5*d, s = -s + 4*d + w. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18224 (base 13) in base 12?\nAnswer: -22ab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-37737)\/7188)\/((-21)\/(-6)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 1374900 to the nearest 10000.\nAnswer: 1370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = 3*v - q, 0 = 2*v + 4*q - 9 + 43. Sort v, -2, -3 in descending order.\nAnswer: -2, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1329*g**2 - 1327*g**2 - 6674 + 6685.\nAnswer: 2*g**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, a: 1, e: 1, q: 1, c: 1, t: 1}. Give prob of picking 1 t and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -150770, -42\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20 - 22 - 18 - 36 + 96 + 3*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 2*n. Let s be 39\/12 - (-1)\/(-4). Suppose 0*r + 5*g + 7 = r, r - s*g = 5. Solve -4*w - 2 - r = n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -238*w + 256*w - 72 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2 and 1092418.\nAnswer: 1092418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 420?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes before 2:41 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 6 = -16. Let d = q - 64\/3. Factor -2\/3*r**4 + 4\/3*r**3 - 4\/3*r + 0*r**2 + d.\nAnswer: -2*(r - 1)**3*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 4*m = 22 - 56, 5*t - 67 = m. Suppose -4*i + 4*x + t = -3*i, i - x = 7. Solve 3*k + k - 17 = -z, 4*k + 13 = i*z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -278179\/70 - -3974. Let u(i) be the second derivative of -10*i + 0 + 1\/42*i**4 + 1\/21*i**3 - 1\/7*i**2 - n*i**5. What is f in u(f) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 426, 427, 420, 399, 358?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 - 9.2. Let p = -4.8 + 6. Let v = t - p. Sort 2, v, -1.\nAnswer: -1, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4482 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1314 or 416956\/317?\nAnswer: 1314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the third derivative of -11*m**4\/24 - 5*m**3\/2 + 12281*m**2. Let n(r) = 5*r + 7. Let t = -12 + 6. Let k = 12 - 25. Calculate k*n(w) + t*h(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2799553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1 - 0.2. Let u = -47 + 563\/12. Let h be 99\/(-22)*(-2)\/(-3). What is the second smallest value in h, u, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 - 97. Let o = 69 + n. Calculate the common denominator of 12\/144 - (2 - (-572)\/144) and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 281 less than -0.698225?\nAnswer: -281.698225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 2 q when three letters picked without replacement from roqqkrqrnqqbkrr?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*f**3*s - 69*f**3 + 72*f**2*s + 2324*s - 1416 with respect to s.\nAnswer: 6*f**3 + 72*f**2 + 2324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 12*m - 10. Let s(l) = -4*l + 3. Let u(w) = -8*s(w) - 3*t(w). Let x(r) = -7*r**3 + 2*r - 1. Let p be x(1). Let z(j) = -1. Determine p*z(y) - u(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1101366236 and 5776.\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 159, 14, -283, -804, -1621?\n\"Answer: -12*t**3 - 4*t**2 - 49*t + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -65, -170, -387, -776, -1397, -2310, -3575?\n\"Answer: -10*c**3 + 4*c**2 - 47*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -140, -133, -120, -101?\n\"Answer: 3*p**2 - 2*p - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.8494 + -1.1506. Which is the closest to 8?  (a) -4  (b) -2  (c) 1  (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(56)\/sqrt(4)*-2)\/(6*sqrt(2)*2 - sqrt(2)))**2 + (sqrt(56)\/(sqrt(8)*-1) - sqrt(7))**2 + sqrt(126)\/sqrt(2) + (-5*(-2*sqrt(175) - sqrt(175)))**2.\nAnswer: 3*sqrt(7) + 4768396\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*l - 2*b - 1296 = 39*l, 4*l - 1739 = -b. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, s: 5, k: 7}. What is prob of sequence ksz?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -4*u + 11, -3*u - 198*i + 17 = -199*i. Solve 5*x = -2*j - 36, -u*j = -5*x - 38 + 20 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -113*j + 33*j = -800 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6413346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes before 11:26 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -0.13  (b) 9  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4253?\nAnswer: 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(-5\/6)*n)\/(n\/n**1))\/((n**(-1\/4)\/n)\/n*n\/n**1) assuming n is positive.\nAnswer: n**(41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 28211421 to the power of 1\/2, to the nearest integer?\nAnswer: 5311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 3233, 3113, 2993?\n\"Answer: -120*s + 3353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1100)*-2)**2 - (sqrt(11) - (sqrt(176)*2)**2).\nAnswer: -sqrt(11) + 5104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -425*o + 1702. Let h be f(4). What is the highest common factor of h and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 375 and 27625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 + 10 - 2\/(-1). What are the prime factors of (8\/5)\/(4\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -3*s. Let k(u) = -34*u**2 + 143268. Determine y(k(o)).\nAnswer: 102*o**2 - 429804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) -14  (c) -6.0963\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -10*x**2 - 6792*x - 144587. What is k(-22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 498 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-2)*((-5920)\/420)\/(-37)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 518481904.\nAnswer: 2, 569, 56951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 212958164?\nAnswer: 2, 53239541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7680 and 32.\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttf when three letters picked without replacement from iffjiffftfffttjfffff?\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18166774 is divided by 2270846.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5753 + -40?\nAnswer: 5713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 20 = -2*h, -3*j - 8 = 3865*h - 3864*h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 170347 is divided by 28299.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the third derivative of -w**5\/60 + w**4\/24 - 2*w**2. Let c be b(1). Suppose c = -0*m - 3*m - 12, -4*f - 5*m = -8. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 2*o = k - 16, 5*o - 30 = -3*k. Suppose -k*p + 94995 = -5*z, z + z - 2 = 0. What is p rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7780000 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -41 - -18. Let o = y - -34. What is the remainder when 32 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2515, -2546, -2633, -2806, -3095, -3530, -4141?\nAnswer: -4958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -31003103113 (base 4) to base 13\nAnswer: -92a3c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 0*f**2 - 8*f + 3*f**2 - f**2 - 6 - f**2. Let m be h(9). Solve 3*n + a = 4*a - 24, m = a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 15615470230 to the nearest one hundred thousand.\nAnswer: 15615500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -4*t**2 - 3*t + 39. What is c(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/(-5) + 84\/(-30). Is 4 a factor of 4\/y*(0 - 12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1510976*d**3 - 44004*d**2 + 2 wrt d.\nAnswer: 9065856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 2*w**4\/5 - 8*w**3\/5 - 824*w**2\/5 - 3136*w\/5 - 3072\/5 = 0?\nAnswer: -16, -2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the second derivative of 7*r**6\/720 - r**4\/3 - 6*r. Let i(u) be the third derivative of f(u). Let j(l) = -l. What is j(i(z))?\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*m = -45*m - 170 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the third derivative of 7*s**5\/60 + 7*s**4\/24 + s**3 + 3*s**2 + 1. Let d(i) = 7*i**2 + 6*i + 5. Let u(m) = -6*a(m) + 7*d(m). Determine u(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4224)\/(-42) + 5 - ((-21 - (-110)\/70) + 20)\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5928, -5971, -6070, -6249, -6532, -6943?\nAnswer: -7506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 462 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 3\/8, -4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes after 4:38 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 9631 a factor of 1398823934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2230*g**2 - 21040*g**2 + 1753*g**2 - 1520*g**2 to the form s + o*g + i*g**2 and give i.\nAnswer: -23037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -76 + 141. Let b be (32\/4)\/4 + -1 + o. Find the second derivative of 11*r**4 + 12*r**4 + b*r - 8*r**4 - 42*r wrt r.\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 185.9774 meters in micrometers?\nAnswer: 185977400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -6 - -2 - (70 - 64).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/7 of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-16)*-10*4\/(-2). Let m(f) = -4*f - 1. Let t be m(-5). Solve -t = i + 5*y, 24 = 3*i + i - z*y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5.1071*0.1.\nAnswer: 0.51071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/84 and -17\/7704?\nAnswer: 53928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 - 4\/5*c**4 - 4\/5*c**3 + 0*c + 0*c**2 = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**3 - 24*l**2 + 22*l + 3. Give d(23).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*i**2 + 31090*i - 31090*i.\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54, -124, -216, -330, -466, -624, -804?\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -17073 + 17077. Solve f*n + 16 = -2*w, -7*w + 8*w = -5*n - 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the second derivative of o**5\/20 - o**4\/6 - 5*o**3\/6 - o**2 - 28*o - 1. Let v(w) = 2*w**3 - 5*w**2 - 11*w - 5. What is 5*m(y) - 2*v(y)?\nAnswer: y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 4229*q - 13 + 4446*q - 8494*q in the form u + i*q and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 288642, 286247, 283852, 281457, 279062, 276667?\nAnswer: 274272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*z - 14*z = 230. Solve -2 = -2*i + 2*f + f, 3*i = -2*f - z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 164412, 328816, 493220, 657624, 822028?\n\"Answer: 164404*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (10\/25)\/(2*(-13)\/2405)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-4)\/5)\/((-1)\/(-5)). Let x be w\/((-4)\/(-11)) - -2. Let c = x - -19. Calculate the greatest common factor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -63*u. Let i(z) = -z. What is -42*i(r) + t(r)?\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the third derivative of -24*v**2 - 1\/120*v**6 - 1\/6*v**3 + 0 + 0*v + 11\/60*v**5 - 1\/3*v**4. Let l be x(10). Which is greater: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 2*l - 38, l - 23 = -2*b + 2*l. Suppose 6*c + 5*y = 2*c + 2, -2*y = -4*c - b. Let d(j) = 8*j**2 + j - 3. What is the units digit of d(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/10, -2, 0.209.\nAnswer: -2, 0.209, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m - 7. Let i be g(-4). Suppose -3*f = 2*z + 2 - 5, -3*z - 4*f + 5 = 0. What is the tens digit of (2 - z)*(i - 51)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + 5*j - 8. Let h be 14\/4*(-72)\/(-42). Solve h = -w + j*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -5*b. Let d be v(-6). Suppose -15*g - 68 = -2*u + 22, 2*g + 53 = 3*u. What is the greatest common factor of d and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 8:50 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 7\/3 + 14\/21. Suppose w = -c*w. Find the first derivative of -25*x**4 + 18*x**4 + w - 3 + 2 wrt x.\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from psppsps. Give prob of picking 2 s and 1 p.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -39\/209 and -37\/114?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 = 2*u - 3*x, 2*u + 0*u = -2*x - 22. Let g = 0 - u. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**3 - 8*o**2 + 6*o - 12. Let s be m(-9). Suppose s + 1126 = -b. Is b\/2*(3 + -5)*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -102*j - 17. Let a(t) = -17*t - 3. Calculate -17*a(f) + 3*o(f).\nAnswer: -17*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 5*a = -h + 15014, -2*h + 4*a = -15008. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -7*h**4 + 8*h**3 + 3*h**2 - 5*h + 7. Let k(q) = 8*q**4 - 8*q**3 - 4*q**2 + 4*q - 8. Let p(t) = 4*a(t) + 3*k(t). Factor p(g).\nAnswer: -4*(g - 1)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.03 + -2.97. Suppose -2*x - 68 = -5*j - 4*x, 0 = -2*j - 2*x + 32. Let m be 22\/(-16) + 18\/j. Which is smaller: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36 and 169512?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-72)\/(-42))\/(-6))\/((-308)\/(-1617))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -c - 3*j + 10, -2*c - 3*j = -2*j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.385 - 3.3. Let c = r + -37.085. Let h = -27.5 - c. What is h rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33664.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u**4 + 5*u**4 - u**4 + (-5*u**3 - 10 + 10)*(-8*u + 8*u + 4*u))*(-2 - 1 + 5).\nAnswer: -38*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(190)\/((2*sqrt(120))\/sqrt(12)))**2*5.\nAnswer: 95\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -35*t + 5. Let w(v) = v + 1. Give -p(k) + 5*w(k).\nAnswer: 40*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the third derivative of -13*i**4\/24 - 5*i**3 - 957*i**2 + 3*i. What is j(-7)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 3*l**2 + 4. Let q(y) = 462*y - 922*y - 6*y**2 - 7 + 460*y. Give 5*k(h) + 3*q(h).\nAnswer: -3*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i - 4*z = -450, 22*i = 19*i - 3*z + 222. Calculate the remainder when 482 is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01366 rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 6247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -4*b + 2. Let g be i(2). Is (-46)\/((-3)\/g*-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3517 is divided by 320?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*x + 19 = -29*x - 20 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the first derivative of 39*q**2 + 35*q - 116. What are the prime factors of b(6)?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.6 and -16.6.\nAnswer: 26.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d - 1. Let o be 4*(-2*(-6)\/(-4))\/4. Let v(n) = 5. Calculate o*l(s) - v(s).\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**4\/2 - 1956*n**3 + 786840*n**2 - 100654848*n.\nAnswer: 3*n*(n - 672)*(n - 316)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**2 - 931*w + 11921. Give s(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 54 = -2*y. Let j = 5 + -3. Suppose -i = j*i - y. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.07888 + 109.37388. Round a to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*f = -3654 - 716. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/107 in -5, 1\/3, 5, 3, -0.29781?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 5\/3  (b) -2\/7  (c) -0.0287  (d) 1\/2  (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -47 - ((-1296)\/40 - 14)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, a: 1, t: 1}. What is prob of picking 1 t, 1 q, and 1 a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide 5916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 10*q**2 - 16*q**2 - 19*q**2. Let z(s) = -3*s**2. Calculate w(z(n)).\nAnswer: -225*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.4  (b) 11879  (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -254 + 230 = 4*b. Suppose -2*g + 19 - 3 = -4*z, -z + 2*g = 10. Is z bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -57.5 - -57.8. What is the fourth smallest value in h, 0.7, 3, -4\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1461838229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -2*g**3 - g**2 - g. Let s be l(-1). Solve -4*t - 7 = 2*a - 3*t, 2*a + s*t + 4 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*z + 6*z - 13 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 8 and -194.\nAnswer: -1552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -96*b**3 - 8*b**2 + 3*b - 5. Let s(h) = -178*h**3 - 15*h**2 + 5*h - 9. Let i(k) = -6*s(k) + 11*x(k). Determine i(-2).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j - 4. Let t be y(-10). Let l = 2 - t. Let z be (-424)\/(-12) + l\/(-6). Calculate the highest common divisor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (20\/6*(-4131)\/(-135))\/((-24)\/(-16)). What is the highest common divisor of 221 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-6) - 20\/30?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 106*a**4 - 65 - 231 + 64 - 23*a**4 + 4*a - 152 with respect to a.\nAnswer: 332*a**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2211 != -2210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 127 a factor of 5715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23994.\nAnswer: 2, 3, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(360)\/(-1*sqrt(32)))\/(-2*sqrt(441)*-6).\nAnswer: -sqrt(5)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*5*(sqrt(500)*-2*-4 + 0 + 1*(sqrt(500) + 0 + -2)).\nAnswer: -60 + 2700*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2116 - 1342. What are the prime factors of f?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 - 9*n**2 - 10*n + 4. Let g be j(10). Let v(a) be the first derivative of 1\/6*a**g - 1\/3*a**2 + 2 + 2\/9*a**3 - 2\/3*a. What is s in v(s) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 37, 3\/8, -0.1, -28, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -167*o + 86*o + 77*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 68022 and 6.\nAnswer: 68022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 4644, 8654, 12132, 15078?\n\"Answer: -266*r**2 + 4808*r + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 935677, 935541, 935405?\nAnswer: 935269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**3 + 10*h**2 - h + 2. Let z be y(-10). What is the highest common factor of z and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3287 is divided by 29?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11929 and 379279?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 5, z: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 4, 234, 3, -19, 54, -2 in descending order.\nAnswer: 234, 54, 4, 3, 0, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 4, v: 3, q: 1, w: 1, f: 4, c: 6}. What is prob of sequence fnv?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -8 + 19 - -10 - 13. Solve -2 = 2*u, 3*d - b = -0*u - u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1044, 2030, 3016, 4002, 4988?\nAnswer: 5974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 79 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of j**3 - 5*j**4 + j**3 - 3182*j**2 + 3181*j**2 wrt j?\nAnswer: -120*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/115 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 459a40 (base 13) in base 14?\nAnswer: 30d1ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 - 14 = f + 3*i, 2 = -3*f + 4*i + 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5*1\/(10\/8). Suppose 7*d = 2*d. Solve -v = 4*j - d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -96 divided by -777\nAnswer: 32\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 - (6 + -3 + 0). Let a be k\/(-2)*(-2 + 8). Let x be (10\/15)\/((-8)\/(-36)). Solve 0 = -4*o + a*o - x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -73 + 95. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 22.84 + -267.44. Let n = 0.6 + x. Let a = 240.86 + n. What is a rounded to 1 dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4*-6123\nAnswer: -24492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 23*c - 46. Let k be u(2). Suppose k = 21*y + 2*y - 2645. Calculate the remainder when y is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 223, 438, 643, 832, 999, 1138, 1243, 1308?\n\"Answer: -x**3 + x**2 + 219*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -75*k**2. Let s(p) = -825*p**2. Determine 4*s(b) - 45*x(b).\nAnswer: 75*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10.6 - -11. Let d(q) = 4*q - q**2 - 3 + 2*q + 11. Let p be d(7). Which is the closest to p?  (a) 0  (b) o  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49795181003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 2*b = -0*h - 242, 3*b - 237 = -3*h. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 - (39 + -43 + 53).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 26343\/5 + -5243. Let f = -26 + y. Sort -2, 2, f.\nAnswer: -2, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 3*y + 276 = 0, -5*i - y = y + 475. Let o = i + 254. Suppose -5*m + o = 3*r, 2*m = 3*m - 2*r - 21. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (10\/15)\/((-6)\/9). Sort 4, m, 0.\nAnswer: m, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7869366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 10769003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*r**2 + 88*r - 42*r - 31*r**2 - 44*r + 85*r**2 + 20*r**2.\nAnswer: 52*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -51*f**3 - 3*f + 325 wrt f?\nAnswer: -153*f**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + d + 33 = -0*d, -3*m = -5*d - 29. Let u be ((-3)\/(-2))\/((-6)\/m). Let z = 3\/38 - 63\/76. Is z bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/233 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -2*z + 7. Let k = 3 - 1. Suppose n = o - 6, -k*o - 4 - 12 = 5*n. Suppose -2*r + 4*l = -22, l = -4*r - o + 19. Calculate a(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n + 16. Let a be t(0). Suppose a = -z + 3*h - 9, -4*h + 30 = -z. Find the common denominator of 1569\/(-270) - 2\/z and 53\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 43*f - 491. Determine b(16).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -415926 by -6.\nAnswer: 69321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.55 + -0.05. Let p = y - 1. Which is the closest to -1\/7?  (a) -2  (b) p  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29ec9 (base 15) in base 16?\nAnswer: 20f34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13)\/(52\/(-40))*(-4 + (66\/5)\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 30*f = 27*f + 9, -3*f + 9 = -u. What is the nearest to u in 1\/3, -0.3, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*f - 7*f - 100 = 0. Suppose 2*n + 23 = n - 3*x, 2*x = -n - f. Let t = 33 + n. Solve 0 = -v - t*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**2\/3 + 40*o\/3 + 1600\/3.\nAnswer: -2*(o - 40)*(o + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 51597 (base 10) to base 3\nAnswer: 2121210000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 13730\/(-11) - 13\/52*-20. Let x = -1243 - i. Factor -x*c**2 + 8\/11 + 0*c.\nAnswer: -2*(c - 2)*(c + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -7*v**2. Let w(t) = -5*t + t + 0*t + 3*t. Give w(u(d)).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 divided by 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16960908?\nAnswer: 2, 3, 89, 15881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 929017?\nAnswer: 571, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((-6*(sqrt(2688)*1 - sqrt(2688)))\/(3*sqrt(96)*-2))**2 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 492  (b) -2\/7  (c) 23  (d) 0  (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 3, q: 12}. Give prob of sequence rrqr.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -758*g**2 - 487*g**2 - 1127*g**2.\nAnswer: -2372*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14269?\nAnswer: 19, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12004.2 millilitres to litres.\nAnswer: 12.0042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 969370052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((192\/(-144))\/(1\/9))\/(6\/(-3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 75*u - 65*u - 22 + 1.\nAnswer: 10*u - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 7*n**2 - 34*n - 141. Let f(b) = 8*b**2 - 33*b - 148. Let h(m) = -6*f(m) + 7*k(m). What is the first derivative of h(t) wrt t?\nAnswer: 2*t - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j - 3. Let z be h(-6). Find the third derivative of -z*p + 6*p**5 + 3*p - 2*p**2 wrt p.\nAnswer: 360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 145*h**2 + 2 - 132*h**2 - 5.\nAnswer: 13*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -31, -47, -73, -109, -155, -211?\n\"Answer: -5*j**2 - j - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 763 and 520366?\nAnswer: 520366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/1920 and -79\/105760?\nAnswer: 1269120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooooojooj. What is prob of picking 2 o?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.3 + -0.2. Let v = 3 - 2. Let n be 2 - 2*(-35)\/(-40). Which is the third biggest value?  (a) n  (b) k  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -46 + 19. Let n = 101 + q. Let t = -369\/5 + n. Which is the closest to 0.2?  (a) -5  (b) 4  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 238 and 1004564?\nAnswer: 7031948","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**2 + 18*w + 66. Let f be y(21). Which is the fourth smallest value?  (a) 1  (b) f  (c) 5  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 13\/(-12) - 2\/(-6). Let r(z) = z**3 - 5*z**2 - 6*z - 8. Let k be r(6). Let d = 9 + k. What is the nearest to d in t, -2\/7, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -200, -546, -1038, -1676, -2460?\n\"Answer: -73*a**2 - 127*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/1*(-13 - -12) - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27480607 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -260934*t + 2870269. Give h(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 - 2*l**2 + 1. Let v be w(-2). Suppose 3*f + 3 = 0, -3*q + 5*f + v + 28 = 0. Let k = 163 + -140. What is the remainder when k is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4258 is divided by 607?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 367733 is divided by 1268?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -14*g. Let t(k) = -3684*k**2. What is t(f(w))?\nAnswer: -722064*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -1\/4, 7, -2\/3, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 74\/2699 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-six fifths of a century in decades?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*z - 41*z - 58 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**2 - 7*o - 9. Let t(i) = -i**2 + 3*i + 4. Let k be 3*((-6)\/(-21))\/(6\/(-14)). Give k*u(q) - 5*t(q).\nAnswer: 3*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**3 - 65637*j**2 + 196918*j - 131280.\nAnswer: -(j - 2)*(j - 1)*(j + 65640)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 48*h - 95. Give s(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2521*c**3 + 2559*c**3 + 13308*c - 13308*c.\nAnswer: 38*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 175.6 * -6.02.\nAnswer: -1057.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2.1 and 0.086.\nAnswer: -2.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 6*n. Let a(z) = -z - 40 + 40. Calculate l(a(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s\/(s\/(s*s\/(s**(-1\/4)\/s))))**(-2\/103)*s**(1\/3)*s*s*(s\/(((s\/(s\/(s*s*((s\/(s*s**(-2)))\/s)\/s))*s)\/s)\/s))\/s*s)**21)**(-5\/6) assuming s is positive.\nAnswer: s**(-48685\/1236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**3 - 4*s**2 + 3*s. Let v be l(4). Suppose -k + v = 5*u, 1 = 3*u + k - 5. Solve -u*c = 6, 0*c = 5*h + 5*c - 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-23)*s\/s**(4\/5))**(-3\/4))**23 assuming s is positive.\nAnswer: s**(3933\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/(-15) - 18\/(-5). Suppose -3*z - r = n, 4*z - 3*z + n + 2 = 0. Let w(v) = v. Let t(j) = 6*j + 1. Determine z*t(a) + 5*w(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 790 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 870 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1539) + 1)*2 + 6*(sqrt(1539) + -1) + 5)*-5.\nAnswer: -360*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 367.2289 milligrams in nanograms?\nAnswer: 367228900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -5*c**4 + c**3 + 2*c**2. Let d(w) = -6*w**4 + w**3 + 3*w**2. Let i(m) = m**2 - 2*m + 2. Let g be i(2). Let s(x) = g*d(x) - 3*a(x). Factor s(q).\nAnswer: q**3*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -96 (base 13) to base 10\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -113.2 - 3043.\nAnswer: -3156.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 507.1672ug to kilograms.\nAnswer: 0.0000005071672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6535*z**2 + 10768?\nAnswer: 13070*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = m + 14*m. Suppose 2*r = 5*b - 304, -39 = -3*b + m*r + 149. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19, 30, 41, 52, 63?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 13 + 12 = 0. Suppose -1251 - 1094 = -w*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/5))**(-2)\/(((((h*h*h*h\/(h\/h**(-2\/11)))\/h)\/h*h)\/h*h)\/(h*h**(-4))) assuming h is positive.\nAnswer: h**(-243\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w**3 + w**2 + 154*w - 4. Let v be o(9). Let -4\/3*h**3 + 2*h**4 - 4\/3*h**2 + 2*h - 2\/3*h**v - 2\/3 = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.7 and -2421.9.\nAnswer: -2422.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*k**2 + 3*k + 0*k - k + 2*k + 6*k**3.\nAnswer: 2*k*(k + 2)*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2*p**3 + 18*p**2 - 1407*p - 17826. Give j(-10).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes before 11:52 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -529 + -1 + 0\/(-68). Let j = b + 810. Is j a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) 6  (c) 38\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9753 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 14*p**2 - p + 3. Let t(h) = 14*h**2 - h + 4. Let l(v) = -6*o(v) + 7*t(v). Does 32 divide l(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 87 + -33. Is r a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (13\/26)\/(1\/6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a5383 + -5?\nAnswer: -a5388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 16) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/3, -291, 2?\nAnswer: -291","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/964 and 89\/7712?\nAnswer: 7712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*d**2*q**4 - d**2*q**3 - 3*d**2*q**2 + 3905*q**4 - 231*q**2 - 2*q + 2 wrt q?\nAnswer: -48*d**2*q - 6*d**2 + 93720*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a tonne in kilograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 - (-12 - 25) - 46.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4234.3994 + 4228.4. Round y to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 535 is divided by 165?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**2 + 25*x + 48. Let p be q(-23). Suppose 5*w - p*u - 38 + 8 = 0, -7 = w - 3*u. Calculate the least common multiple of 33 and w.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -112, -490, -1128, -2032, -3208?\n\"Answer: -l**3 - 124*l**2 + l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 3*p**3 - 144*p**2 - 140*p - 332. Let h be o(49). Let x(m) = m**3 + 6*m**2 + 4*m - 1. Let j be x(-5). Solve 3*d = j*r + 10, -3*d = 3*r + 7 + h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1, 7, 6 in ascending order.\nAnswer: -3, 1, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1.5 times -224\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 714 + -459. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 11:02 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 2*x**4\/3 - 22*x**3 - 1816*x**2\/3 - 2840*x + 10400\/3 = 0.\nAnswer: -10, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-124*f + 66*f - 2*f)*((4*f**2 - 2*f**2 - 3*f**2)*(4 - 2 - 3) + 0*f**2 - 3*f**2 + 4*f**2 + 2*f**2 + 2*f**2 - 3*f**2).\nAnswer: -180*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*a + 10*a + 16530. Suppose v - 2*v - 4*m = -a, -2749 = -v - m. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 5*w**3 + 1. Let c be f(1). Let m be ((-2)\/6)\/((-14)\/c). Let z = 0.0053 + -1.0053. What is the second smallest value in -1.2, z, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from feeeffff?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 128\/256 - 82\/(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1256253 is divided by 1640?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -15 (base 8) to base 2\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**2 + 6*l + 2. Let u be x(6). Let o(m) = -2 + 4*m - 2 + 3 - u*m**2 - 1. Let s(v) = 3*v**2 - 5*v + 3. Let g = 0 + 3. Determine g*s(b) + 4*o(b).\nAnswer: b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2182936 is divided by 36382?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 5*w - 3695 = 10*w, -5*p - 2*w + 4627 = 0. Suppose 5*r + 5*t - p = 0, t + 1 = 2. What is the remainder when r is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 475885 is divided by 1258.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (88*y - 5*y - 46*y)*(-3 - 3 + 7) + 5*y + 3*y - 5*y in the form n*y + d and give n.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -46, -91, -136, -181?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -5555108.6 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = t - 16, -12 = 2*t - 0*t - 3*a. Suppose 5*f = 4*u + u - 5, -5*u - 3*f - 19 = t. Let i be 4 - -2 - (-1 - u). Solve i*d + 20 = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8\/9927 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -73338261*d**4 + 2073*d**2 + 55*d - 17?\nAnswer: -1760118264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(1539) - (sqrt(1539)*-3 - sqrt(1539))) + 2).\nAnswer: -135*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 74754025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*(55\/(-990))\/((-4)\/(-2)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 14*a*f**2 - 7*a*f + 19*a + 39946*f**2 wrt a?\nAnswer: 14*f**2 - 7*f + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 3*q + 63. Let s be b(7). Calculate the highest common factor of s and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11343 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3731, 5, 0.1, -4, -3\/7 in descending order.\nAnswer: 3731, 5, 0.1, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from bxbbxbbb?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, f: 3, l: 6, i: 1, t: 1}. Give prob of picking 1 f and 2 l.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 253787678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 907632 is divided by 12965.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:33 PM and 10:00 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/(-4))\/((-2)\/(-4)). Suppose q - 11 = y. Let v = 18 + y. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 615*a + 512*a**2 - 1374*a + 759*a + 1 as q*a + t + w*a**2 and give w.\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:57 AM and 11:55 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 33600 rounded to the nearest 100?\nAnswer: 33600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, 0, 18, -5, 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2478 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 734941195?\nAnswer: 5, 17, 23, 41, 53, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 - r + 1. Let d(m) = 2*m**2 + 4*m - 4. Let h(t) = 3*d(t) + 12*q(t). Let i(g) = -12*g**2. What is h(i(l))?\nAnswer: -864*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -2\/25, 2\/9, 2\/25, -1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes before 11:49 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2475 by -3.\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -1, 2, -0.8, -1\/7 in increasing order.\nAnswer: -1, -0.8, -0.3, -1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -51073 - -41?\nAnswer: -51032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 1. Let z(w) = w + 3. Let k(p) = 3*g(p) - z(p). Let o(r) = 2 + 2 - r**2 - 4. Determine k(o(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*b = 18*b + 48. What are the prime factors of 2 - (b - 25\/5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 5. Let r be 24\/(-1152)*6*0. Solve b + 2*i + 4 = r, -b - d*i = 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Suppose -42 = -2*k + 2. Let s = k - 18. Let d(x) = -x - 11. Let l(n) = -3. Let w(r) = 7. Let f(g) = -11*l(g) - 4*w(g). Calculate s*d(u) + 9*f(u).\nAnswer: -4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -11681644 to the nearest 10000.\nAnswer: -11680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*u**4 - u**4 - 4*u**4)*(-1 - 1 - 3).\nAnswer: -10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, w: 1, v: 6, b: 2}. What is prob of sequence wbt?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 109504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/17, 0.24, 0.2, -0.3, 12, 2\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + -9. Let l = -4 - w. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4828204342?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 9}. Give prob of picking 4 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/13920 and 127\/48.\nAnswer: 13920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 4 + 9)*(-2*c - 3*c - 13 + 3*c) in the form i*c + b and give b.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -409 times 93\nAnswer: -38037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -1777\nAnswer: 1777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(19\/4)*p**(-2\/53)*p)\/(p\/(p*p\/(p*p**(1\/6))*p)*p*(p*(p*p**(1\/40))\/p)\/p) assuming p is positive.\nAnswer: p**(35111\/6360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -5*o - 106 - 343, 2*o + 780 = 5*w. Let y = w - 1102\/7. Factor 6\/7*u - 2\/7*u**2 - y.\nAnswer: -2*(u - 2)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-63)\/(-42)*8*8\/192*9?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5370 - -14869. What are the prime factors of c?\nAnswer: 7, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*u + 48 = -40. Let a(x) be the first derivative of -3\/4*x + u - 3\/16*x**4 - 9\/8*x**2 - 3\/4*x**3. Determine m so that a(m) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5*(8\/3)\/(149160\/(-198)).\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -519*h**4*t**3 - h**4 + 6*h**2*t**3 + h**2 + 10*h*t**2 wrt h?\nAnswer: -12456*h*t**3 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2351553213 - -101?\nAnswer: 2351553314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.06  (b) 1\/6  (c) -1\/84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14065 a multiple of 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 77363531.\nAnswer: 7, 11051933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 392488853?\nAnswer: 157, 193, 12953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 7\/(-4))*(-32)\/(-24).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10 - -6. Let p be 4*((-1)\/6 + 0). Which is the closest to p?  (a) 4  (b) d  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 48 = -5*j - 2, j + 5*w = -2. Let y = j + -14. What are the prime factors of y\/9 + (-35)\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the first derivative of g**4\/4 - 4*g**3\/3 + 5*g**2\/2 - 2*g + 90. Factor b(o).\nAnswer: (o - 2)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 2. Let v be (-4)\/(-6) - (-8)\/6. Solve -3*k + 5*n + 13 = m, 5*k - v*n + 0 = -10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a**3\/3 + 868*a**2\/3 + 365450*a\/3 - 1848700\/3 = 0 for a.\nAnswer: -266, 5, 695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the second derivative of 5*p**7\/126 - 11*p**6\/18 + 13*p**5\/4 - 305*p**4\/36 + 110*p**3\/9 - 10*p**2 + 256*p. Suppose c(n) = 0. Calculate n.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53963 - 18005 - 18092 + 2*d**2 - 18071.\nAnswer: 2*d**2 - 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*p**2 - p**2 + p**2 + p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4204343 + -32?\nAnswer: -4204430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1406433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t - 18*k + k + 74971, -4*t = -k - 75061. What are the prime factors of t?\nAnswer: 2, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b - 12 = -2*q, -2*q - 2*b + 10 - 23 = -17 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 92\/(-102) + (-6)\/(-9). Let x = 5\/51 - k. Put 6\/11, 4, x in descending order.\nAnswer: 4, 6\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1042712 (base 8) to base 4\nAnswer: 1010113022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*k + 684 = 204. Find the common denominator of (-2 - (-534)\/k)\/(6\/(-4)) and -57\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 46\/14 + 6\/(-21). Suppose -4 + 1 = f*k. Is k > -2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 135878486?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00004408791 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 635130838, 635130840, 635130842, 635130844, 635130846, 635130848?\n\"Answer: 2*w + 635130836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/175, -1208\/5, 4 in decreasing order.\nAnswer: 4, 3\/175, -1208\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15550*h**2 + 4900*h wrt h?\nAnswer: 31100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 305214.\nAnswer: 2, 3, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54055 is divided by 18010?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 288\/13068*66*-22\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 10 = 3*f, 28 = 5*f + 2*v - 5*v. Suppose 5*k - l - 99 - 60 = 0, 0 = -2*l - 8. Determine x so that x**4 - x**2 + x**3 - k - x**f + 31 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 606995304 divided by 354.\nAnswer: 1714676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*q + 291 = 463. Let i(d) = d**3 + d**2 + d + 1. Suppose -4 = -5*s + s. Let h(p) = -90 + 44 - 4*p + 42 - 6*p**3 - 4*p**2. Determine q*i(z) + s*h(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53772723.\nAnswer: 3, 5974747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -15240000 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the second derivative of 1445*f**4\/6 - 25*f**3\/3 - 29*f**2\/2 - 4*f + 43. Find the second derivative of h(o) wrt o.\nAnswer: 5780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -4, -16, 0, -2 in increasing order.\nAnswer: -16, -4, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -50\/843 and -6\/281?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3083 + 3083. Solve 4*w + 13*f - 12*f - 8 = 0, -5*f = q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -418778 - 66362 = -20*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2300 = -55*u + 53*u. Let t = 1637 - u. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*b**3 - 15 + 15.\nAnswer: -18*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/5  (b) 7\/2  (c) 999  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 5*k - 0*b - 20540, k - 4129 = 4*b. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 409 - 381. Calculate the least common multiple of p and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101101010001110010101110001 + 10?\nAnswer: -101101010001110010101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (4 - -8) - -7 - (4 + -15)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 14, 202, 522, 980, 1582, 2334?\n\"Answer: c**3 + 60*c**2 + c - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101101 (base 2) to base 13.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((3*sqrt(3240) - sqrt(40)) + sqrt(2560) + (sqrt(2560)*-1 - sqrt(2560) - sqrt(2560)))\/(sqrt(352)\/(sqrt(44)*1)).\nAnswer: -40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + 13 + (-5 - (-1 + -1)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 14*d**2. Let l(y) = 144*y - 180. Suppose -23*c - 90 = -25*c. Let p(m) = 13*m - 16. Let f(t) = c*p(t) - 4*l(t). Determine f(j(s)).\nAnswer: 126*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - 3. Calculate the common denominator of (1\/n)\/(14\/(-6)) and -15\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -2*s**2 + 45*s - 45. List the prime factors of y(20).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/7 of a week in hours?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7798603*y**2 + 341*y**3 + 7798603*y**2.\nAnswer: 341*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 39 and 6227?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (-3 + 1 + sqrt(48) - ((sqrt(15)*1)\/sqrt(5) + -4))**2)*6.\nAnswer: 72*sqrt(3) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 (base 14) in base 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 4 + 25 = 0. Let c(v) = -v**2 - 11*v - 8. What are the prime factors of c(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the second derivative of u**3\/2 + 5*u. Let p(t) = 2*t**2. Give p(x(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -27*r - 37. Let l be h(-7). What is the units digit of (-3*4\/(-12))\/(2\/l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1338 equal to 1270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 30\/(-24) - (-2)\/8. Let p be z\/6*(5 - 1). What is the smallest value in p, 1\/2, 4\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.064 less than -2298103?\nAnswer: -2298103.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2142 and 6324?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -464 greater than or equal to -464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l. Let h(t) = 8*t**2 + 18. Determine z(h(n)).\nAnswer: -8*n**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 39879494.7 plus -0.38119?\nAnswer: 39879494.31881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -50741\/6822 + -5\/758. Find the common denominator of (-99)\/(-10) + -2 + -1 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*m**4 + 9 - 9 + (-16 + 16 - 15*m)*(2*m**3 + m**3 - m**3).\nAnswer: -26*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -837 + 3172. Suppose 20*r - 2305 = o. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -11) + -202 + 201\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**2 - 34*v + 3. Calculate the remainder when w(-33) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(637)*-2 + -3.\nAnswer: -14*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 23 = -2*l. Suppose -s - 5 = -l. What is the highest common factor of s and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 < -108.96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + 12 - ((0 - -5) + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20340 - 0?\nAnswer: 20340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5289412 is divided by 99800.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1475*i = 2290*i + 26895 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -53453, -4, 1, -2.\nAnswer: -53453, -5, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -2048 times 0.07\nAnswer: -143.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17983 by -14.\nAnswer: -2569\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 56, 9039, 2 in descending order.\nAnswer: 9039, 56, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6 - 0 - (-3 + 5). Suppose 10*w = 99*w - 1248 - 2668. Calculate the highest common factor of w and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -24*m**2. Suppose -2*c = 5*z - 11, 3*c + c - 13 = -z. Let g be 3*(52\/6 + -8). Let t(b) = -3*b + 0*b + g*b**2 + c*b. Give l(t(n)).\nAnswer: -96*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(56)\/sqrt(8) + 2)**2.\nAnswer: -2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -43 - -132325541?\nAnswer: 132325454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 22022002 (base 3) to base 12\nAnswer: 3602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 6*z - z - 182, 0 = 4*z + t - 151. Let c(g) = -g**2 + 3*g + 2. Let s be c(6). What is the remainder when z is divided by -4 + 6 + 1 - s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the third derivative of 11*t**8\/20160 - t**7\/5040 + t**5\/20 + 30*t**2. Let p(i) be the third derivative of b(i). What is p(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1598 greater than -1598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0, 165, -1\/6, -5, 0.5, -0.18, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 + 10*o**2 - 11*o + 3. Is 21 a factor of c(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -2*g**2 - 7*g. Let n be f(-4). Let s be ((-6)\/12*1)\/((-6)\/n). Which is the second smallest value?  (a) -2\/7  (b) s  (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78659266831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2926?  (a) 4\/3  (b) -0.03  (c) 2\/43  (d) 1\/5  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 8  (b) 428  (c) 3  (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -98826134*g**3 - 2*g**2 + 9664519*g + 5?\nAnswer: -592956804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide ((-336)\/189)\/(6\/(-12573)) - (-4)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**2*c**(-9)\/c)**(17\/4) assuming c is positive.\nAnswer: c**(-187\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -214*n**3 + 2*n**2 - 213*n**3 - 2*n**2 + 347*n**3 + 19*n + 81*n**3 - 19*n.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -55*q**5 + 20*q**2 - 5506*q wrt q.\nAnswer: -1100*q**3 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 7, e: 6}. What is prob of picking 1 y and 3 e?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1083, 1080, 1077, 1074, 1071?\nAnswer: 1068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33 and 114634003.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 100?\nAnswer: -3\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(2\/9))\/((-2)\/44*330\/(-15))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -12207 + 2?\nAnswer: -12205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (175*h**2 - 377*h**2 + 94*h**2)*(-1 - 1 + 0).\nAnswer: 216*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 32*i**2. Let m(c) = -15*c**2 + 2*c. Give m(r(p)).\nAnswer: -15360*p**4 + 64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25581*a - 25585*a - 2 = -z, 9 = z + 3*a for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + n)*(4 - 4 + n) - 2*n**2 + 2 - 2 + (4 - 4 - 2)*(-n**2 - 3*n**2 + 2*n**2) + n**2 + 0*n + 0*n + 3*n**2 - 4*n**2 + 3*n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 783 and 3799.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y + 1. Let f(c) = c + 1. Let p(w) = 2*f(w) - z(w). Let u(a) = -2*a**3 - 4*a - 4. Give -4*p(r) - u(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the third derivative of 55*u**9\/63 - 11*u**5\/4 - 7*u**2 - 9. Find the third derivative of l(n) wrt n.\nAnswer: 52800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -83 greater than -94019\/1153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -135*m + 409*m - 130*m - 139*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes before 1:15 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -22974387*f**4 - 39914941.\nAnswer: -91897548*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1830 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 - 0. Factor -4 - 2 - 19*y**2 - 9*y**3 - 15*y - v*y**2 + 3.\nAnswer: -3*(y + 1)**2*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 0*i - 2*i = 12, 0 = 2*i + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -56*g + 5. Let d be o(-2). Suppose 0 = -5*x - i + d, 0 = 2*x - 3*i - 36 - 21. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60080 = -7*w - 4*w - 5*w. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 39*m**3 - 2*m**2 - 2*m. Let d(h) = 234*h**3 - 13*h**2 - 13*h. Calculate 2*d(b) - 13*n(b).\nAnswer: -39*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002388794429 to 7 decimal places.\nAnswer: 0.0023888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + 11 - (-1184 + 1145)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -54632 (base 7) to base 6\nAnswer: -143222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 373 + -364. Let r be (-2)\/3 - (-654)\/9. Suppose -r = -5*d + 2*d. What is the remainder when d is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**2 - 402*f + 13467.\nAnswer: 3*(f - 67)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*k - 20*k**3 - 2*k**2 - 25*k + 7 + 40*k to the form n*k**2 + j*k + z*k**3 + h and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*l - 528 - 10063. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8768 is divided by 162?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1987332.\nAnswer: 2, 3, 165611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {v: 10, r: 2}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 44*f - 19. Let a be j(19). Suppose 2*x - 489 = a. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1633.9 + -1637.4. What is the second smallest value in -1, 0, -3\/2, p?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/47196 and -61\/414.\nAnswer: 47196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**0*w)**9)**49 assuming w is positive.\nAnswer: w**882","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*r = 21*r - 15*r - 81 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 179035056?\nAnswer: 2, 3, 414433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -2*o**2. Let w(m) = 5*m + 24. Let l(h) = -4*h - 20. Let q(p) = 6*l(p) + 5*w(p). Calculate q(x(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3369 + -0.4?\nAnswer: 3368.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -57 - -54. Let l be 1 - 27\/o*1. Solve i - 5*a - 5 = -24, 0 = 4*i + 2*a + l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**2 - 5*l - 46. Determine j(-6).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 78 and 46519608.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -21 + 32. Let z = -2 + 5. Suppose -z*c + 4 = -2*c. Calculate the least common multiple of c and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 548.833 - 550. Let u = -1.06 - q. Let m = u + -0.047. What is the smallest value in 4, -2\/3, m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 336.7 + -337. Let d = 2.4 + -2. What is the closest to 2\/5 in p, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((-1*sqrt(280) - sqrt(280))*-6 + sqrt(280))\/sqrt(8))\/((-3*(sqrt(504) - (sqrt(504) + sqrt(504)*2)))\/sqrt(8)).\nAnswer: 13*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -2*p + r - 20, 0 = p - r + 13. Calculate the remainder when (7488\/90)\/((3\/(-1))\/p) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -78 = 83*u - 171*u + 90*u for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the third derivative of 7*g**4\/24 - 13*g**3\/3 - g**2 + 7*g. What is the tens digit of o(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.2 + -0.3. Let z = 0.7 + 115.3. Let k = z + -114. What is the closest to 0 in k, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3 - 0 - 6) + 11. Suppose 5*a = -3*f + 19, -3*a = -a + t. Find the second derivative of f*l + 4 - 2 + 7*l**3 - 2 wrt l.\nAnswer: 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**3 - 5*v**2 + 2921*v - 11734. Give c(4).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*(-11 - ((-1161)\/(-54) + -19))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -25*n**2 - 14*n + 6. Let w be j(4). What is the units digit of 27 - 28 - w\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9425\/5951 less than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cpcpppppcppp.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 343778 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 5*o, 3*f - o + 40 = -5*o. Let c = -6 - f. Solve -v = b - c*b - 2, -2*b = 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*z + 10 + 1 = 0. Is z at most as big as -1\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34312311 (base 5) to base 8.\nAnswer: 1130006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7 and 2556918.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3607013791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 948 and 19276?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - 12 = -166*m - 169*m + 338*m, 17*s + 3*m + 52 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -1  (b) -3  (c) -8  (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39 = -2*c - 37 + 24 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(85) + (sqrt(85) - (sqrt(85) - sqrt(85)*-4)) + sqrt(85)) - sqrt(85))\/(sqrt(20)\/sqrt(4)*4)*-5.\nAnswer: 25*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-54)\/(-63))\/((-117)\/(-21))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*b**3 - b + 36*b**3 - b.\nAnswer: 4*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 232 and 1682?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*m**2 - 4*m - m + 8*m**2 - 15*m**2.\nAnswer: 2*m**2 - 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y**4\/2 + 36*y**3 + 33*y**2 - 36*y - 69\/2 = 0. What is y?\nAnswer: -23, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((120\/(-12))\/10)\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-5)*(-6)\/4*(-72600)\/(-4356).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 512386324.\nAnswer: 2, 17, 7535093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4461 + 4821 = 40*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the first derivative of -91*l**5\/5 - l**4\/4 + 79*l**3\/3 + l**2\/2 + 196. Find the third derivative of k(i) wrt i.\nAnswer: -2184*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, r: 2, x: 4, q: 2, f: 4, g: 3}. What is prob of sequence gxqx?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 15\/76 and 7\/7057?\nAnswer: 536332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -274*o - 3908. Determine r(-15).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14 - (0 + 3)) + 44 + 15 + -70?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d**3 - 1806*d**2 - 16455*d - 25662 = 0. Calculate d.\nAnswer: -7, -2, 611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2403535*r + 1754186 wrt r.\nAnswer: -2403535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -451 divided by 100031\nAnswer: -451\/100031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*z**3 + z**2 - z**2 - 2*z + 36237 - 36237.\nAnswer: 20*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of 0 + 4\/147*t**7 + 3*t - 1\/7*t**6 + 2\/7*t**5 - 5\/21*t**4 + 0*t**3 + 1\/7*t**2. Factor v(c).\nAnswer: 2*(c - 1)**4*(4*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -238*w - 1426. What is u(-7)?\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 - -2121110201122011?\nAnswer: 2121110201122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12268676 is divided by 3067168?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.38 and -3.\nAnswer: -3.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 7234 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttattethtthhtatt. Give prob of picking 1 a and 2 t.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -5*n. Let h(l) = 41 - 28*l + 44 + 47 - 173 + 42. Calculate o(h(v)).\nAnswer: 140*v - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 11.957, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1515576 divided by -378894.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence at when two letters picked without replacement from xxxxxlalraxtxxaxlxb?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 1 = 3*y - 6*y, 4*l + 5*y - 10 = 0. Suppose -a = -l*a + 256. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 - 6*w + 4. Let v be n(4). Let p = -95.009 + 95. Let y = -0.509 - p. What is the nearest to 2\/3 in v, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -84287*c**2*r - 2519*c**2 - 8*c - 1 wrt r.\nAnswer: -84287*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p + 0 + 2*p - 1. Determine o(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -2*b**3 + 8*b**2 + 28*b + 28. Calculate w(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**2 - 4*r - 3. Let j be v(5). Let p = -2 - -4. Suppose -3*z + 22 = 7*l - 5*l, -20 = -4*z + p*l. Solve 4*o - 5*f = -z - 0, 4*o = f + j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -1284*p - 7768. What is l(-6)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13 + -10. Let a(q) be the second derivative of 5\/21*q**s + 0 + 2\/21*q**4 - 2*q + 1\/7*q**2. Determine o so that a(o) = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/10 + 54\/15. Suppose 0 = -q*l + 3*p - 4, -3*l + 2*p + 18 = 5*p. Suppose l + 0 = w. Calculate the highest common divisor of w and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the third derivative of 47\/60*l**5 + 0*l + 0 + 0*l**4 - l**2 + 25\/2*l**3. Differentiate j(g) with respect to g.\nAnswer: 94*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-60))\/(6\/(-20))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 66989 to the nearest one thousand.\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**2 + 1106*u + 164787. What is n(-133)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f + f - 2*f)*(-7443*f**3 + 18*f**4 - 33*f**4 - 3281*f**3 + 14*f**4 - 8439*f**3).\nAnswer: -f**5 - 19163*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(3\/5)*(a*a**(-19))\/a*a*(a*a\/(a\/(a*(a**9\/a)\/a)))\/(a*(a*a**(-28\/9))\/a) assuming a is positive.\nAnswer: a**(-283\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1486, -1992, -2836, -4018, -5538, -7396, -9592?\nAnswer: -12126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 260581857?\nAnswer: 3, 71, 457, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - 3 + 9. Suppose 13 = 7*x + l. Solve -15 = 4*u + x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hmh when three letters picked without replacement from hkhkkkhmmkmhimhmhkh.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 21 in -2\/5, -4, -2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ckdkk. Give prob of sequence cd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (36*o**2 - 6*o**2 - 19*o**2)*(3*o - o - o) + (0 + 0 + 1)*(2 - 2 + o**3) to the form q*o**3 + u*o**2 + s + b*o and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -38 divided by 3?\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 140659973 and 32522?\nAnswer: 2323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -1128*r + 10140. Determine p(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 23 + (-19 + 6 - -15) - (103 + 37)\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3785 - 481?\nAnswer: 3304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 126558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = 5*q + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -360 - 102666?\nAnswer: -103246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**4\/5 + 10*h**3 - 162*h**2\/5 + 166*h\/5 - 56\/5.\nAnswer: 2*(h - 1)**3*(h + 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 5)*(2 + 0 - 1)*(146 - 247*u**2 - 146).\nAnswer: -247*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -21*(860\/(-195) - (-1)\/13) is divided by 43?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13430980573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(68)\/sqrt(144).\nAnswer: -2 + sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 910.923 litres in millilitres?\nAnswer: 910923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, 52242, -3, -4 in decreasing order.\nAnswer: 52242, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -60 - -168. What are the prime factors of 13260\/x + 2\/9?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100010111 (base 2) in base 16?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10*u - 4*u + 3*u + 2*u - 3 wrt u.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1432*b = -1429*b + 30 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*((-15435)\/(-686))\/((-3*1)\/(90\/(-18))).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 29*r - 14*r + 75 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-3) - (56 - 51)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 209 + 210 = -3*j, 4*j - 3*k = -6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 92825305*l**4 - 184103170 wrt l.\nAnswer: 371301220*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 650 a factor of 776985752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17237250 is divided by 5745721?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(660)*-2*-1)\/(sqrt(12) + -2*sqrt(12)*-2))\/((sqrt(180) + 3*1*sqrt(180))*5).\nAnswer: sqrt(11)\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**3 - 119*o**2 - 1438*o + 1099. Determine z(130).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ssee when four letters picked without replacement from ssesee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 10:49 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 174 + -95. Suppose 128 = 83*r - x*r. Let u(t) = 6*t**3 - 4*t**2 + t - 4. What is the remainder when u(3) is divided by r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4543 - 2834. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -38141.557 rounded to the nearest ten?\nAnswer: -38140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 2*g + 74 = -67, 0 = -3*d + 5*g + 368. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -2*q**3 + 173*q**2 + 105*q - 864. Let b be u(87). Solve -704*x = -b*x - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -d**3 + 17850*d**2 - 502*d + 479 wrt d?\nAnswer: -6*d + 35700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q + 5 + 9 = 0. Suppose 4*m + q*w - 220 = -0*w, 2*w = m - 50. Does 27 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -88*b*z - 9*b - z**3 + 38 wrt z.\nAnswer: -88*b - 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uainpqq. Give prob of picking 1 i and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 834 + -832. What is the derivative of 363 - 79 + h*m**2 - 245*m**4 + 8*m**4 - 2*m**2 wrt m?\nAnswer: -948*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/6 in 1\/10, -0.09, -1\/2, 5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-1)*r)\/r**(-3\/2)*((r\/r**(-4\/3)*r)\/r)\/r*r**(2\/3))**(-3) assuming r is positive.\nAnswer: r**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of d**3*x*y + 9*d**3 - 12*d**2*r**2*x - d**2*r - 56*d*r*x*y - 4*d + 841*r**2*x - 9872*r**2*y - r*x wrt y?\nAnswer: d**3*x - 56*d*r*x - 9872*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14991 is divided by 163?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 9*q - 24. Let f(k) = -5*k + 12. Let m(p) = -7*f(p) - 4*g(p). Let r be (-2)\/(-8) - 57\/(-12). Give m(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -456313, -456316, -456319, -456322, -456325, -456328?\n\"Answer: -3*a - 456310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**2 - 3*g - 1. Suppose -4*u - 4*w + 27 = -5, -w = -u. Give v(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7125142*n**3*s + 109289*n**3 - 116 with respect to s.\nAnswer: -7125142*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -16*o**2 + 2*o - 1. Let q be j(1). Let z = q - -22. Suppose -40 = -z*d + 2*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -3*t + 16. Suppose 5*u = 6*u - t. Suppose w + 31 = 4*y, 3*w - w = -u*y + 34. Calculate the lowest common multiple of 18 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -462, -898, -1362, -1866, -2422, -3042?\n\"Answer: -2*p**3 - 2*p**2 - 416*p - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 138 and 161?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 14*f - 95. Let d be b(10). Let u be (-6)\/(-4)*((-20)\/d)\/2. Let a = 4 + -4.05. Sort u, 2, a in ascending order.\nAnswer: u, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 72\/5  (b) -0.37  (c) 60  (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 397341591 to the nearest integer?\nAnswer: 19933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -254*b**2 - 3*b**3 - 9*b**3 + 254*b**2.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Do -1120 and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the first derivative of -d**5\/15 - d**4\/24 - 2*d**2 + 4. Let l(n) be the second derivative of c(n). What is the second derivative of l(u) wrt u?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/131  (b) -0.64  (c) -76  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 114820 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/1620 and 137\/4536.\nAnswer: 22680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - v - 4 + 1 + 4.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*h - h - 5*h + 14*h.\nAnswer: 23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 228 is divided by 78?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1434608\/5 or 286921?\nAnswer: 286921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/6)\/(16\/(-216)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -302 - 1c?\nAnswer: -31e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2030 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/51  (b) -0.4  (c) -46  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 116681 or -80\/7?\nAnswer: 116681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 4*x = -751 + 6064, 3*y = -x + 5328. List the prime factors of y.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 744848 and 432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 991*y = -9901511 + 9819258 for y.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 - 1937018?\nAnswer: -193701a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 132 a factor of 1581096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*a**2 - 7 + 7)*(-2*a**3 + 2*a**3 - 6*a**3).\nAnswer: 42*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/4 and 137\/276822?\nAnswer: 553644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**2\/3 + 485*a\/3 + 1892.\nAnswer: (a + 12)*(a + 473)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in 9, -85, -2\/13, 3, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4*(0 + -1)\/(-1). Suppose 38 + 18 = k*t. What is the remainder when t is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3.7, 72, -4, -28, -5, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + n + 995 = 0, n + 4940 = 5*i - 55. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1006 + -648?\nAnswer: -1655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -5 + 5 - (2 - 0). Let p be (1 + (0 - m))\/1. What is the third derivative of -18*x**p - 4*x**5 + 18*x**3 + 3*x**5 + 4*x**2 wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 72 - 1 - ((68 - 247) + 172)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*p = 19*p - 80. Let m be 328\/p + 2\/4. What is m rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-546 - 5*d + 546)*(0*d**2 - 2*d**3 + 0*d**2) + (d**3 - 3*d**3 + 0*d**3)*(3*d + d - 5*d).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 328 = 4*o, 410 = 3*o + 2*o + 5*v. Suppose -3*f - o = 2. Let x = 59 + f. Is x 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 31083?\nAnswer: 3, 13, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1723 - 1002. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.44 and 5.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 5*y**2 + 7*y**2 - 14*y**2. Let p(x) = -22*x**2. What is p(m(v))?\nAnswer: -88*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 65 - 9. Suppose m*h - 63*h = -49. Solve 3*o + 4*a = h, -8*a = 2*o - 4*a - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1981904 - 1981904 - 2*j**2 + 316*j - 1055*j to t + l*j + k*j**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 155543843 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 101110010111 (base 2) to base 13\nAnswer: 1473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 541049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 105, 196, 287?\n\"Answer: 91*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - -10 - (61 - 59).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (7704*r - 6894 + 6894)*(5 - 1 - 1) in the form j + c*r and give c.\nAnswer: 23112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 10\/2 - (-4)\/(-4). Solve c*o + 6 = 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-75 - -82) + 115 + -236?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.1377417 - -2.6038.\nAnswer: 5.7415417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, -1\/12, -8, 19\/4, -95, -5?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*i + 150 = 16*i + 30*a - 25*a, 12*a - 24 = 0 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -225, -211, -199, -189?\n\"Answer: -h**2 + 17*h - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4048, 16220, 36506, 64906, 101420?\nAnswer: 146048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77 is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of 2*l**6\/15 - 23*l**5\/20 + 115*l**4\/12 + 4*l + 10. Find the third derivative of q(n) wrt n.\nAnswer: 96*n - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1091884811.\nAnswer: 61, 479, 37369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 2 = -6*l + 3*l, 5*s = 5*l - 5. Does 10 divide -4*s + (1 - -19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 3*h - 131, h + 69 = 3*q - 2*h. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/(-15) + 53913\/15. Let c be (-8617)\/(-2)*14\/j. Let u = c - -30\/599. What is the common denominator of u and -65\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -11 - 28662?\nAnswer: -28673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*m + m. Let k be (-8)\/m*12\/(-8). Suppose q - k = 3. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7 and 427.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 36  (b) -0.14  (c) -2  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-18 - (-14 - (8 + -16))) + -54\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**3 + 64572*d**2 + 1677858*d + 10903880.\nAnswer: 2*(d + 13)**2*(d + 32260)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3754862 to the power of 1\/2, to the nearest integer?\nAnswer: 1938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 188.3395 millennia in years?\nAnswer: 188339.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4697 divided by 11\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*n - 6 = -16*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*m**2 + 11*m**2 + 6*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-18)*-6*7\/84.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*1\/(2\/6). Let s = 6014 - 5993. What is the highest common divisor of s and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 1, -3\/5, -234\/7, 2, 1\/238, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 2*v + v - 31, -4*v - 98 = 5*m. Let d be 2\/m*46 - (-10)\/55. Calculate the remainder when 111 is divided by (133\/(-2))\/7*d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1183783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13755991?\nAnswer: 53, 259547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 188910228 a multiple of 507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1005803544 to the power of 1\/2, to the nearest integer?\nAnswer: 31714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -320 - 1320. Let c = f - 2300\/7. What is the nearest to 1 in 0.2, 0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and 1.066421.\nAnswer: -1.066421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 224*p + 3708 = 1151*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 42\/(-10)*(-51)\/(3672\/240)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -6*u**3 + 5*u**2 + 3*u + 12. Let q be v(-4). Calculate the greatest common divisor of 29 and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 10  (b) 1  (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w. Let t be -1 - (-6 - 0 - -2). Suppose -5*v - 15 = 4*m, -5*m + m = v + t. Let s = 19 + -20. Let i(n) = -n - 1. Determine s*i(h) + v*y(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c + 5*b = 8, -10*c + 13*c - 1 = -2*b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5950000 = -0*f - 5*f. What is f rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.02234222 to 3 decimal places.\nAnswer: -3.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (18 + -28 + 30).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 + 0 + 7 + 18 - 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**3 - 6*h**2 + 17*h - 13. Let l be j(-9). Is (12\/22)\/3 - (-6993)\/l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1*-2)\/(88\/(-220)). Suppose 95392 - 9567 = h*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 plus -165329829155?\nAnswer: -165329829161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 375 - 200. Let r be (-1 - -10) + 104 - (1 - -7). What is the greatest common factor of s and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3643363 (base 8) to base 12.\nAnswer: -403497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, t: 1, c: 5, u: 5, x: 1, h: 1}. What is prob of sequence cch?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3775 - 1254 - 1261 - 5*y - 1260.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 - 5*q**2 - 2*q + 5. Let c be (6 + -2)\/(2\/(-4)). Let w be (-36)\/c + 1\/2. What is o(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12.4 + -12.39929. What is v rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 50 + -12. Let v = g - 24. Let t(r) = r - 3. Let a be (-16)\/6 - (-1)\/(-3). Let n(x) = 4*x - 14. Give a*n(w) + v*t(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**2 + 14*y - 15. Suppose 193 = 5*g + 133. Calculate a(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2164252 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**3 + 17*s**2 - 83*s + 6. Determine v(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -h**2 + 206969*h + 1241429.\nAnswer: -2*h + 206969","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2. Let t(r) = -r + 77. Determine n(t(g)).\nAnswer: -g**2 + 154*g - 5929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4236 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2138577002 to the power of 1\/3, to the nearest integer?\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 12 = -4*r, 3*r = -p - r. Suppose -p*w = -w. What is the first derivative of -4 - 1 + w + 7 - 7*i**4 wrt i?\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, -19, -49, -97, -169, -271?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -91 - (90 + -65 + -25 - (-20 - 0)).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -897*((-2)\/4)\/(15\/10). Let g = 438 - z. Calculate the common denominator of -22\/3 and g*((-44)\/(-72))\/(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -2*m**2 - 4*m - 6. Let b(a) = -a**2 - 3*a - 5. Give 6*b(c) - 5*l(c).\nAnswer: 4*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 3, -3, -0.77, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -4*n - 10. Let q be i(-4). Let l be ((-164)\/q - 0)\/((-14)\/(-21)). Let h = 0 - l. List the prime factors of h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/((-80)\/(-112) - (-148)\/(-196))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 12*w - 1. Let t be 15\/12*24\/6. Does 10 divide s(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -5*o - 6. Let k be s(-6). What is the greatest common divisor of k and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 296 = -a, -8*o + 5*a - 740 = -3*o. What is the remainder when (-2)\/(-3)*1 - o\/12 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -101110, -202218, -303326, -404434, -505542, -606650?\nAnswer: -707758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 890114789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 8:28 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.0524 + -3.0524. Put -0.13, -8, y, -1\/3 in decreasing order.\nAnswer: -0.13, -1\/3, y, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 9*o**2 - 10*o + 38. What is the tens digit of q(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hohhoohh. What is prob of sequence hoh?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(68))**2 - sqrt(68)) + 4.\nAnswer: -2*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -54 - 8?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 557651 to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -60 + 62. Calculate the smallest common multiple of (b - (3 - 2)) + (-42)\/(-2) and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/9)\/(4*(-32)\/(-1152)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -10946, -21898, -32850, -43802, -54754?\n\"Answer: -10952*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 30375 - 235044.598.\nAnswer: -204669.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*t + 4*t + 4*t - 95. Solve 3 = h, 4*h - t*h = 2*q - 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, w: 3, v: 3, z: 1, g: 4, i: 2}. What is prob of picking 1 w and 2 v?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*q = 7*q - 210 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**2 + 1 + p - p. Let g(d) = -43*d - 45. Suppose v + 3*j + 9 = 14, -2*j - 1 = 5*v. Let s be g(v). What is w(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((-1 + sqrt(684) + -2 - ((sqrt(684)*-2)**2 + -5) - (3*sqrt(931) - (2 + sqrt(1539))**2)) + 4).\nAnswer: -105*sqrt(19) + 5935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/((-2)\/49) + 2. Let c be (-69)\/(-2)*4\/(-6). Let p = m + c. What is the remainder when p is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - h - 1 + 4)*(1 + 1 - 5 + (-3 + 0 + 4)*(-1 + 5 - 2) - 4 + 1 + 1) + (2 + 2 - 1)*(h + 0*h + h) + h - 1 + 1.\nAnswer: 10*h - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 + 1 - -3) + -4 + 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + b + 3*b = 10, 4*b = 2*u - 80. Let v(t) = t**2 + 11*t - 43. Let k be v(-14). Let r be (-7228)\/(-234) - k\/9. Is r smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1058100 and 4549830.\nAnswer: 45498300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -13122.7 bigger than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -365, -743, -1119, -1493, -1865?\n\"Answer: h**2 - 381*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1*(36\/(-6))\/(-6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 3*s**2. Let a(r) = 6*r + 5. Calculate a(n(j)).\nAnswer: 18*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:02 PM and 2:25 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) 0  (c) 1676\/29  (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1210 + 1712. Let l = -344 + s. What are the prime factors of l?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + -1100110010?\nAnswer: -1100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 56289052?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.0275 greater than or equal to -1\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-1 + sqrt(112) + 3).\nAnswer: 10 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 - 0 - 2\/1. Let a(v) = v - 18. Let g be a(7). Let u be (k + 4)\/((-1)\/g). What is the highest common factor of 121 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*i + 18. Let l = -1 - -24. Calculate the remainder when l is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**3 - 58*t**2 - 518*t - 1470.\nAnswer: -2*(t + 7)**2*(t + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h**2 - 61245*h - 216794718 = 0 for h.\nAnswer: -15858, -4557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 17*o**2 - 2*o - 3. Let n(c) = -9*c**2 + c + 2. What is 7*n(i) + 4*r(i)?\nAnswer: 5*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/3 or 319?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 676 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of -2*3\/42 + 5647853\/791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/8393904 and 47\/489?\nAnswer: 1368206352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2*y**2 - 8*y + y**2 + 33 - 10 - 11*y - 112. Calculate the remainder when q(-9) is divided by 1 + 0\/(0 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (8*8\/(-352))\/(-1). Let j = 0.05 - -1.95. Let o = j - 1. Which is the second biggest value?  (a) o  (b) -3  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1220797338?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.23 - -0.03. Let u = -13847\/3 + 4553. Let h = -64 - u. What is the third biggest value in -2, w, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -47*r**3 + 7004*r**2 - 150*r + 614. Determine f(149).\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**3 - 58*n**2 - 752*n + 10. Give g(-38).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 25 = 2*s. Let f = -5 - s. Suppose 2*m = -0*m + f. Solve 0*g + 2*g = -q - 2, -5*q - m = g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7285\/2 in 2\/5, -2, -3, 4, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -169221, -169266, -169317, -169374, -169437, -169506?\n\"Answer: -3*k**2 - 36*k - 169182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-1\/14)\/t*t*(t*t\/((t\/(t*t*(t\/t**(-1\/9))\/t*t*t))\/t)*t)\/t assuming t is positive.\nAnswer: t**(761\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes after 11:45 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -148 = -4*p - 0*p. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z - 2*v + 23, -3*z - 3*v - 2 + 14 = 0. Suppose z*g = 4*g - 68. Let b = g - -106. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 293 a factor of 1147095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from urrzniuuuzz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 - 6*p**2 - 7*p + 8. Let d be -3 + 6 - 1 - 9. Let w = d - -14. What are the prime factors of r(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.5 - 91.5. Let h = -165339.151097 - -165428.151. Let t = v + h. Round t to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24652.76 millimeters to centimeters.\nAnswer: 2465.276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 4*p + 22 = -0*p, 0 = -p - 5. Suppose 0 = -q - o*v + 13, -5*q = -6*q + 4*v - 17. Solve -4*d + 28 = -4*w, 2*w + q*d = 7*w + 29 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 243\/(-171)*(-28025)\/885.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -877 + 569. Let r = 308.2 + a. Put -0.0405, 0, r in ascending order.\nAnswer: -0.0405, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18\/(10 + -19) - (-224 + 1).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2228 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 661498 + -661510.34602. Let m = w - -12.32. What is m rounded to three decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 293 + -208. Suppose 0 = 5*b + 3*t - 385, -2*t - t = 3*b - 225. Suppose i*j = b*j - 20. Sort j, 0, 5, -1 in decreasing order.\nAnswer: 5, 0, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 99.2 + -77. Let x = q + -22. Which is the nearest to 1?  (a) 0.5  (b) x  (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8362.5182 rounded to the nearest 100?\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 t, and 1 u when three letters picked without replacement from {j: 5, k: 8, o: 1, t: 5, u: 1}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -994*q + 1. Determine c(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times -5.78\nAnswer: 2.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) -5  (b) 10\/13  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:33 AM and 8:23 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 71 - 144 + t**3 - 193.\nAnswer: t**3 - 266","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the first derivative of -a**4\/18 - 22*a**3\/3 - 650*a**2\/9 - 368*a\/3 + 4870. Factor s(t).\nAnswer: -2*(t + 1)*(t + 6)*(t + 92)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100101110001011000110110011101 - 11?\nAnswer: 100101110001011000110110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 307, 619, 931?\n\"Answer: 312*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 4*r + 27, -c = -2*r - 124. Are c and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 10 - 16)*(9*q + 3*q + 0*q).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) 28.71  (c) 229  (d) 1  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 + w - 1. Let s(l) = -6*l**2 + l - 7. Calculate -3*h(m) + s(m).\nAnswer: -3*m**2 - 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 15 + 7 - 21 + 28*u.\nAnswer: 28*u - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 8.362597 centuries?\nAnswer: 83.62597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21309 is divided by 2133.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 199 + -218 + 6 + 0 - -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 + -8 - -5) + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * 154.\nAnswer: -15.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-60)\/20*143\/(-33)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-2)*c)**(-7))**(2\/31)*(c*c**0)**(2\/15)\/(c**(-1\/2)*c*c**(-3\/7)) assuming c is positive.\nAnswer: c**(3343\/6510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 66, 55, 36, 9?\n\"Answer: -4*c**2 + c + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 203 is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3716589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g + 10 = -8*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1944 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 112.98936 + -113. Let v = t - -0.01. Round v to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*n**2 + 12436*n - 49680.\nAnswer: -4*(n - 3105)*(n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 387508 by 5.\nAnswer: 387508\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -12449 in 0.1, 0.82, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -26*s**3 + 5*s**2 - 7*s - 24. Give g(-2).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(288)\/(sqrt(12)\/sqrt(2)))\/((sqrt(576) + sqrt(576) + 1*sqrt(576) + sqrt(576) + sqrt(576) + sqrt(576) + sqrt(576))*-3).\nAnswer: sqrt(3)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4311 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**3 - 5*s**2 - s + 3. Suppose 0 = i + 2*i - 21. Let f be (-6)\/21 + 44\/i. Let b be (f - 4)*(-10)\/4. Determine r(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 8*l - 3 + 2 + 1. Let o(k) = 23*k. Let n = -31 - -14. Calculate n*u(v) + 6*o(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of -i**4\/4 - i**3 - i**2\/2 - 2*i - 6. What is the units digit of m(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 478.81181 rounded to the nearest 10?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -346 + 346 + 174*h as b*h + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/2 or 31334?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 18 + 4)*(2*r + 2 - 2)*(-4*r**3 - 6*r + 6*r) as s + j*r**2 + i*r**3 + z*r + o*r**4 and give o.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -731664, -731660, -731656, -731652, -731648?\nAnswer: -731644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -31 and 0.06?\nAnswer: -1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 190*a*x**3 - 3*a*x**2 - 13*a*x - x**3 wrt x.\nAnswer: 1140*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3*9\/(-12)*9\/((-243)\/(-36)). Let x(u) = -6*u + 39. Let p(f) = -5*f + 38. Calculate d*x(y) + 4*p(y).\nAnswer: -2*y + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the third derivative of -p**5\/15 - p**4\/12 - p**3\/6 + 3*p**2. Give q(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 702850*j**2 - 745202 wrt j?\nAnswer: 1405700*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 2 - (4 - (-5 - -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -428*c + 123*c - 9455 = 0 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.384 and -557.9?\nAnswer: -214.2336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the second derivative of -s**4\/6 + 19*s**3\/18 - s**2\/2 - s + 13. Factor y(p).\nAnswer: -(p - 3)*(6*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18388?\nAnswer: 2, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89 + 159 = 4*r. Calculate the remainder when r is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 75912000 to the nearest one hundred thousand.\nAnswer: 75900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 1893 = -3*i, -4*i + 2538 = -0*i + 2*u. List the prime factors of i.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 18*w - 106. Let h be d(6). Solve 1 + h = -3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 8478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5892829 (base 10) to base 13.\nAnswer: 12b42a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.18 - -0.78. Let f = l - 0.1. Let v = 2\/9 - 5\/9. Which is the closest to 2\/3?  (a) 3  (b) f  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.05 + 0.15. Let j = 6 + -5. What is the nearest to j in h, -0.4, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3785213 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8\/4039 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 137152 and 240016?\nAnswer: 960064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add 1 and -1.9.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 338?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 963 is divided by 75?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 3*u + 3207 = 0, u = -3*k + 376 + 2851. Is 45 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 3 = -3*m + 4, -3*m + 21 = 3*o. Let h = m + -2. Let q(k) = k**2 + k + 9. Calculate q(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-4*(sqrt(1008) - (sqrt(1008) + 0)) + (-1*1*sqrt(1008) - sqrt(1008)))**2.\nAnswer: -12096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 15*j. Let f(t) = 446*t**2 - 2. Give n(f(h)).\nAnswer: 6690*h**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 - 3*w**2 + 14*w - 46. What is g(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1088)\/(-680))\/(12\/(-10)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand t**2 - 2 + 2 + (-4*t + 3*t + 2*t)*(-2 - 4 + 4)*(-4 + 2 + 3)*(1502 - 26*t - 1502).\nAnswer: 53*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2 + 5*s - 6. Let o be q(5). Let w = 37.2 - 37. Which is the nearest to -0.1?  (a) o  (b) w  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22320224 (base 5) to base 16.\nAnswer: 3062d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*(w**41\/w)\/w)\/(w\/(w\/(w\/(w*w**(10\/9)*w)*w*w*w*w*w))))**(-31) assuming w is positive.\nAnswer: w**(-10354\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4787, 9572, 14357, 19142?\nAnswer: 23927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 724048709 to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5416  (b) 5  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 3458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.593711 millilitres?\nAnswer: 0.000593711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 + 13 + 3 + -1. Let j(d) = d**2 + 2*d - 5. Let i be j(2). Suppose -2*a = -5 - i. Solve u + w = a*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**2 + 5*l - 3. Suppose 51 = q - 4*w + 41, 0 = -3*q + 2*w + 10. Let y(d) = -2*d + 1. Give q*r(u) + 5*y(u).\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -2*g + 3*p, 3 = -3*g - g - p. Suppose -3*u - 2*u + 30 = g. Find the third derivative of 0*k**u + 0*k**6 + k**6 - 2*k**2 - 2*k**6 wrt k.\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:19 PM and 10:10 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 + 9*g**2 - 10*g + 1. Let i be u(-10). Suppose -i - 2 = z, -z = -2*j + 1360003. What is j rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 29821221 and 10899?\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.13 + 0.67. Let n = -0.2 + 0.4. Let s = n + l. Which is the third biggest value?  (a) -2\/11  (b) s  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + -1 + -2 + -143 + 149 + -6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4675.143 millilitres to litres.\nAnswer: 4.675143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 47 * 29302\nAnswer: 1377194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 122 and 9882.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 191*u - 116. Let z be n(7). What is z rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 510 - -561. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -222112111220220 (base 3) to base 10\nAnswer: -14103177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -85 - -130. Is 10\/c - 601\/(-9) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 4617128, 9234128, 13851128, 18468128?\n\"Answer: 4617000*a + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000025785 to 6 dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 42 and 1099427.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2*11*(-5)\/(-10). Solve -4*o = -v + 1 - p, -2*v = 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -2*r**2 - 95*r + 200. Give k(-50).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 19571862 a multiple of 2009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 58775300 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 4736931.5 to the nearest ten thousand.\nAnswer: 4740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + n + 1, 0*x + 2*n = -3*x - 3. Let z be (x + -2)\/(23 + -25). Find k such that 3\/4 + 3*k**2 + 1\/4*k**4 - 5\/2*k - z*k**3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*k - 3*p + 63, 7*p + 5 = k + 2 + 12 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 + 0. Suppose 0 = -6*v + 5*v + x. Let z(s) = 10*s + 6*s**3 - 5*s + 4*s**2 + 5 + s**2. Let l(p) = 5*p**3 + 4*p**2 + 4*p + 4. What is v*l(m) - 4*z(m)?\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1)\/(-10))\/((-2)\/(-124)))\/((-9278)\/92780)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81 - 84 = -33*n. Let p = -2 - -3. Suppose -n = -f + p. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 4*a = -2*a + 8, -3*a = 15. Let m be (-1*y*(18 - 24))\/2. Solve 5*k - 13 = -2*w, -m*w + 3 = 5*k - 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ijjjjii. What is prob of picking 3 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q. Let y be 18\/(-6) + (4 - -2). Let c(r) = -y*r + 8 - 1 - 5. Give c(f) + 2*o(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 11, -0.06, -9\/14, -0.03?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14)\/(-42))\/((-2)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8746833203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 5*o**2 + 8*o. Suppose 2*l + 2 - 8 = 0. Let v = -16 + 7. Let d be v\/(-6)*(l - 5). Let r(x) = -2*x**2 - 3*x. Calculate d*n(q) - 8*r(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -65 + 65.3. Let j = -1.8006 + -0.1994. What is the closest to j in -0.4, y, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 96*j. Suppose 0*z = 2*t + z - 2, 0 = 2*z. Does 24 divide b(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -0.1, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*l**3*v**2 + 1651758*l**3*v - 31266*l*v**2 + l*v - l - 10*v**2 - 2*v wrt l?\nAnswer: 12*l*v**2 + 9910548*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1\/3, -6\/11, -18?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2759998)\/(-6) - -2 - 45\/27. What is v rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2060792?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) 0.01  (c) -0.2  (d) -0.5  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.711 - -61.589. Let d = -62 + j. Which is the smallest value?  (a) 0  (b) d  (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 1008980622340\nAnswer: -1008980622339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 13*n - 12. Let c(s) = 53*s**2. Calculate the remainder when c(-1) is divided by u(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1062 + 1062.4. Which is the fourth biggest value?  (a) -1\/4  (b) 504  (c) w  (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -561, -1115, -2617, -5541, -10361, -17551, -27585, -40937?\n\"Answer: -79*h**3 - h - 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.950207 + 0.049793. Let f(r) = r**3 + 4*r**2 + 5*r + 4. Let l be f(-3). Which is the closest to g?  (a) 10  (b) 2\/13  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}